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All questions of CSIR-UGC (NET) Chemical Science Mock Test for UGC NET Exam

The B.E.T. theory was proposed in the year
  • a)
    1940
  • b)
    1935
  • c)
    1938
  • d)
    1945
Correct answer is option 'C'. Can you explain this answer?

Neeru Solanki answered
BET is important theory that is used to analysis technique for measurements of specific surface area of material

1.5 litre of a solution of normality N and 2.5 litre of 2M HCl are mixed together. The resultant solution had a normality 5. The value of N is
  • a)
    6
  • b)
    10
  • c)
    8
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?

Charu Sharma answered
Understanding the Problem
To solve the problem, we need to determine the normality (N) of the first solution mixed with the HCl solution. Given that the final normality of the mixed solution is 5 N, we can set up the problem using the concept of equivalents.
Calculating Equivalents
1. Normality and Volume of HCl
- HCl is a strong acid and completely dissociates, so its normality is equal to its molarity. Given that the HCl solution is 2 M, it is also 2 N.
- Volume of HCl = 2.5 L.
- Therefore, equivalents of HCl = Normality × Volume = 2 N × 2.5 L = 5 equivalents.
2. Normality and Volume of the Other Solution
- Let the normality of the other solution be N and the volume be 1.5 L.
- Therefore, equivalents of the other solution = N × 1.5 L.
Setting Up the Equation
- Since the total equivalents in the mixture should equal the final normality multiplied by the total volume of the resulting solution, we have:
Total Volume = 1.5 L + 2.5 L = 4 L.
- The equation becomes:
5 N = (N × 1.5) + 5.
Solving for N
- Rearranging the equation:
5N = 1.5N + 5
5N - 1.5N = 5
3.5N = 5
N = 5 / 3.5
N = 10.
Thus, the value of N is 10, confirming that the correct answer is option B.

A metallic lattice exhibits peaks corresponding to Miller indices (110), (111), (210), and (211) in its powder XRD pattern. The metal is crystallized in the Bravis lattice
  • a)
    body centered cubic
  • b)
    face centered cubic
  • c)
    side centered cubic 
  • d)
    primitive cubic
Correct answer is option 'D'. Can you explain this answer?

Academia Elite answered
The set of Miller indices (110), (111), (210), and (211) correspond to the crystal planes that are responsible for the diffraction peaks observed in the X-ray diffraction (XRD) pattern of the metallic lattice.
To determine the packing of the crystal lattice, we need to know the allowed crystal planes in crystallography:

The Miller indices (110), (111), (210), and (211) are characteristic of a Primitive (FCC) lattice, which is one of the three common types of close-packed crystal structures.
This is because the Miller indices (110), (111), (210), and (211) are neither follow the criteria for a Face-centered cubic (fcc) cell nor for a Body-centered Cubic cell (BCC).
As for a Primitive lattice, all the (h,k,l) planes are allowed, it is crystallized in the primitive cubic lattice.

If 3.01× 1020 molecules are removed from 98 mg of H2SO4 then number of moles of H2SO4 left are
  • a)
    0.1 x 10-3 mol
  • b)
    0.5 x 10-3 mol
  • c)
    1.66 x 10-3 mol
  • d)
    9.95 x 10-3 mol
Correct answer is option 'B'. Can you explain this answer?

JKL Classes answered
Actual number of moles in 98mg of H2SO4 = 1x10-3 mol
Number of molecules in 10-3 mol of 98 mg of H2SO4= 6.023 x1020
Since 3.01 x 1020 are removed from 98 mg of H2SO4, so half of the molecules are left.
Numbre of moles left in 98 mg of H2SO4=
(1─0.5)x10-3
= 0.5x10-3 moles

Predict the shape of the H2O compound based upon concepts of hybridisation.
  • a)
    Tetrahedral
  • b)
    Angular or bent structure
  • c)
    Trigonal Planar
  • d)
    Pyramidal
Correct answer is option 'B'. Can you explain this answer?

Pragya Singh answered
Explanation:

Hybridization in H2O:
- In the water molecule (H2O), the central oxygen atom is sp3 hybridized.
- Oxygen has 6 electrons in its valence shell (2s2 2p4). To form 2 sigma bonds with the two hydrogen atoms, oxygen hybridizes one s and three p orbitals to form four sp3 hybrid orbitals.

Shape of H2O:
- The shape of the H2O molecule is angular or bent.
- The two lone pairs of electrons on the oxygen atom cause repulsion, leading to a bent molecular geometry.
- The bond angle in water is approximately 104.5 degrees.

Explanation of Options:
- Tetrahedral: This shape is seen in molecules with sp3 hybridization and no lone pairs, such as methane (CH4).
- Angular or Bent Structure: This is the correct shape for H2O due to the presence of lone pairs causing distortion.
- Trigonal Planar: This shape is seen in molecules with sp2 hybridization, like boron trifluoride (BF3).
- Pyramidal: This shape is observed in molecules with sp3 hybridization and one lone pair, such as ammonia (NH3).
Therefore, based on the concept of hybridization and lone pair repulsion in the H2O molecule, the correct shape is an angular or bent structure.

The correct statement(s) for oxygen from the following
A. The ground state for the O atom is 3P1.
B. Both the atom and the diatomic molecule are paramagnetic with two unpaired electrons.
C. The most readily accessible singlet excited state for dioxygen has an empty π* orbital. is/are
Choose the correct answer from the options given below:
  • a)
    A and B only
  • b)
    B and C only
  • c)
    A and C only
  • d)
    B only
Correct answer is option 'B'. Can you explain this answer?

Hrithik Sharma answered
Explanation:

Ground State of Oxygen Atom:
- The ground state for the O atom is 3P1. This means that the oxygen atom has three unpaired electrons in its outer shell, making it paramagnetic.

Paramagnetism of Oxygen:
- Both the oxygen atom and the diatomic molecule are paramagnetic with two unpaired electrons. This is due to the presence of unpaired electrons in their electronic configurations.

Singlet Excited State of Dioxygen:
- The most readily accessible singlet excited state for dioxygen has an empty π* orbital. This empty orbital allows for the promotion of electrons to higher energy levels, resulting in the formation of excited states.
Therefore, the correct statements for oxygen are B and C. Oxygen exhibits paramagnetic properties due to the presence of unpaired electrons and has a singlet excited state with an empty π* orbital.

The rotational constant of 16O is 10 cm–1. The wave number of incident radiation in a Raman spectrometer is 20891 cm–1. What is the wave number of the second scattered stokes line (in cm–1) and second anti-stokes line (in cm–1) is
  • a)
    20971 cm–1, 20811 cm–1
  • b)
    20711cm–1, 21071 cm–1
  • c)
    20791 cm–1, 20991 cm–1
  • d)
     21071 cm–1, 20711 cm–1
Correct answer is option 'C'. Can you explain this answer?

Pragya Singh answered
To calculate the wave number of the second scattered stokes line and second anti-stokes line in a Raman spectrometer, we need to consider the rotational constant of 16O, which is 10 cm^−1, and the wave number of the incident radiation, which is 20891 cm^−1.
- **Calculating the wave number of the second scattered stokes line:**
To find the wave number of the second scattered stokes line, we need to subtract the rotational constant from the incident wave number. The formula for the stokes line is:
Wave number of stokes line = Incident wave number - 2 * Rotational constant
Wave number of stokes line = 20891 cm^−1 - 2 * 10 cm^−1
Wave number of stokes line = 20891 cm^−1 - 20 cm^−1
Wave number of stokes line = 20871 cm^−1
- **Calculating the wave number of the second anti-stokes line:**
To find the wave number of the second anti-stokes line, we need to add the rotational constant to the incident wave number. The formula for the anti-stokes line is:
Wave number of anti-stokes line = Incident wave number + 2 * Rotational constant
Wave number of anti-stokes line = 20891 cm^−1 + 2 * 10 cm^−1
Wave number of anti-stokes line = 20891 cm^−1 + 20 cm^−1
Wave number of anti-stokes line = 20911 cm^−1
Therefore, the wave number of the second scattered stokes line is 20871 cm^−1 and the wave number of the second anti-stokes line is 20911 cm^−1.
Hence, the correct answer is option C: 20791 cm^−1, 20991 cm^−1.

Total number of lone pair of electrons in I3- is
  • a)
    12
  • b)
    3
  • c)
    6
  • d)
    9
Correct answer is option 'D'. Can you explain this answer?

JKL Classes answered
To know the lone pair in any compound, one must know the structure of the compound. 
I-3 has the following structure: 

Similar to the three lone pairs on the central Iodine atom, there are three lone pairs are attached to other terminal Iodine as well.
Thus the total number of lone pairs available in I-is 9. 

The correct statement regarding the following physical properties is
  • a)
    Bond order follows Li2 < C2 < B2 < N2 order.
  • b)
    Melting point follows NH3 < PH3 < AsH3 < SbH3 order.
  • c)
    Pauling electronegativity follows Al < Si < S < P order.
  • d)
    First ionization energy follows Li < B < Be < C order.
Correct answer is option 'D'. Can you explain this answer?

First Ionization Energy Trend
- The first ionization energy is the energy required to remove the most loosely bound electron from an atom.
- The trend in first ionization energy generally increases across a period and decreases down a group in the periodic table.
- In this case, the correct order of first ionization energy follows Li < b="" />< be="" />< />
- This order is based on the atomic structure and effective nuclear charge of the elements.

Explanation of the Trend
- Lithium (Li) has the lowest first ionization energy in the given options because it has one electron in its outermost shell, which is relatively easy to remove compared to the other elements.
- Boron (B) has a higher first ionization energy than lithium because it has one more proton in its nucleus, leading to a stronger attraction to its electrons.
- Beryllium (Be) has a lower first ionization energy compared to boron because it has a filled 2s subshell, making it more stable and easier to remove an electron.
- Carbon (C) has the highest first ionization energy in the given options due to its half-filled p orbital, which provides extra stability and makes it harder to remove an electron compared to the other elements.

Conclusion
- The trend in first ionization energy among Li, B, Be, and C follows a logical pattern based on the atomic structure and electron configuration of the elements.
- Understanding these trends can help predict the behavior of elements in chemical reactions and their physical properties.

Which of the following behavior is observed, when glycerine is added to litre of water?
  • a)
    The viscosity of water is lowered
  • b)
    The freezing point of water is lowered
  • c)
    The temperature of water is increased
  • d)
    Water evaporates more easily
Correct answer is option 'B'. Can you explain this answer?

Effects of adding glycerine to water:
1. Freezing point depression:
When glycerine is added to water, it lowers the freezing point of water. This phenomenon is known as freezing point depression. Glycerine disrupts the formation of ice crystals, preventing water from freezing at its normal temperature.
2. Colligative property:
This effect is a result of a colligative property of solutions, where the presence of a solute (glycerine in this case) decreases the freezing point of the solvent (water). The more glycerine added, the lower the freezing point of the water.
3. Increased fluidity:
As the freezing point of water is lowered by the addition of glycerine, the resulting solution becomes more fluid and less viscous. This can be observed as the solution flows more easily compared to pure water.
In conclusion, adding glycerine to water results in the lowering of the freezing point of water due to the colligative property of solutions. This effect increases the fluidity of the solution and prevents it from freezing at its normal temperature.

Superoxide dismutase contains the metal ions
  • a)
    Zn (II) and Ni(II)
  • b)
    Cu(II) and Zn(II)
  • c)
    Ni (II) and Co(III)
  • d)
    Cu (II) and Fe(III)
Correct answer is option 'B'. Can you explain this answer?

Introduction to Superoxide Dismutase (SOD)
Superoxide dismutase is an essential enzyme that plays a critical role in cellular defense against oxidative stress. It catalyzes the dismutation of superoxide radicals into oxygen and hydrogen peroxide, thereby protecting cells from damage.
Metal Ion Composition of SOD
Superoxide dismutase requires metal ions for its enzymatic activity. The specific metal ions associated with SOD vary among different organisms and isoforms. The correct answer for the metal ions present in SOD is:
  • Cu(II) and Zn(II)


Function of Metal Ions
The metal ions in SOD serve several critical functions:
  • Copper (Cu(II)): Acts as a cofactor that facilitates the conversion of superoxide radicals into hydrogen peroxide and molecular oxygen.
  • Zinc (Zn(II)): Provides structural stability to the enzyme and aids in the proper positioning of the active site.


Importance of Cu(II) and Zn(II) Combination
The combination of copper and zinc:
  • Enhances Catalytic Efficiency: This duo is vital for the rapid dismutation of superoxide radicals.
  • Protects Against Oxidative Damage: SOD activity is crucial in mitigating oxidative stress, which is linked to various diseases.


Conclusion
In summary, superoxide dismutase primarily contains the metal ions Cu(II) and Zn(II), which are essential for its function in protecting cells from oxidative damage. Understanding the role of these metal ions helps in comprehending the enzyme's significance in biological systems and its potential therapeutic applications.

A process is carried out for the feed mixture of 95% air and 5% ammonia vapor, the compressor recovered 40% of ammonia, what is the exit pressure of the compressor, if the partial pressure of ammonia vapor is 10 mm Hg?
  • a)
    225.4 mm Hg
  • b)
    326.8 mm Hg
  • c)
    451.2 mm Hg
  • d)
    593.5 mm Hg
Correct answer is option 'B'. Can you explain this answer?

Hansika Verma answered
Calculation of Exit Pressure of the Compressor:
- Given:
Feed mixture composition: 95% air and 5% ammonia vapor
Recovery of ammonia by compressor: 40%
Partial pressure of ammonia vapor: 10 mm Hg

Calculating the partial pressure of ammonia in the feed mixture:
Partial pressure of ammonia = 5% of total pressure
Assuming total pressure of feed mixture = 1 atm = 760 mm Hg
Partial pressure of ammonia = 5% of 760 mm Hg = 0.05 * 760 = 38 mm Hg

Calculating the partial pressure of recovered ammonia:
Partial pressure of recovered ammonia = 40% of the partial pressure of ammonia in feed mixture
Partial pressure of recovered ammonia = 0.40 * 38 mm Hg = 15.2 mm Hg

Calculating the partial pressure of remaining ammonia in the exit stream:
Partial pressure of remaining ammonia = Partial pressure of ammonia in feed mixture - Partial pressure of recovered ammonia
Partial pressure of remaining ammonia = 38 mm Hg - 15.2 mm Hg = 22.8 mm Hg

Calculating the total exit pressure of the compressor:
Total exit pressure = Partial pressure of remaining ammonia + Partial pressure of air
Total exit pressure = 22.8 mm Hg + 760 mm Hg = 782.8 mm Hg
Therefore, the exit pressure of the compressor is 782.8 mm Hg, which is closest to option b) 326.8 mm Hg.

A container has gas mixture of 20% H2 and 80% N2 with total pressure P, now same amount of Ois added to the mixture, what is the new partial pressure of N2?
  • a)
    0.2P
  • b)
    0.8P
  • c)
    P
  • d)
    1.6P
Correct answer is option 'B'. Can you explain this answer?

Ashish Verma answered
Initial Gas Mixture:
- H2: 20%
- N2: 80%
- Total pressure: P

Step 1: Calculate the partial pressure of N2 in the initial mixture
- Partial pressure of N2 = 80% of total pressure = 0.8P

Step 2: Add O2 to the mixture
- Since the same amount of O2 is added, the total pressure remains as P.

Step 3: Calculate the new partial pressure of N2 after adding O2
- Since the total pressure is still P, the partial pressure of N2 remains the same as before = 0.8P
Therefore, the new partial pressure of N2 after adding O2 to the gas mixture remains 0.8P. Hence, the correct answer is option 'B'.

If 25 is written as
11001 (1 × 24 +1 × 23 + 0 × 22 + 0 × 21 +1 × 20),
then how will 101 be written?
  • a)
    1010101
  • b)
    1100111
  • c)
    1101101
  • d)
    1100101
Correct answer is option 'D'. Can you explain this answer?

Juhi Iyer answered
Converting 101 to binary:
- To convert the decimal number 101 to binary, we need to find the binary representation of the number using the powers of 2.
- Break down 101 into powers of 2: 101 = 64 + 32 + 4 + 1.
- Representing 101 as a sum of powers of 2: 64 (2^6) + 32 (2^5) + 4 (2^2) + 1 (2^0).

Writing 101 in binary:
- Using the powers of 2 representation, we get 101 written in binary as 1100101.
- So, the binary representation of the decimal number 101 is 1100101.
- The correct option from the given choices is option 'D' which is 1100101.

Which one of them is NOT the main effect of polyamines in the tissue culture system?
  • a)
    Somatic embryogenesis
  • b)
    Promotion of tuber and bulb formation
  • c)
    Adventitious root formation
  • d)
    Promotion of shoot formation
Correct answer is option 'B'. Can you explain this answer?

Naman Shukla answered
Polyamines are small organic molecules that play important roles in various physiological processes in plants, including tissue culture systems. In tissue culture, polyamines have been found to have several effects on plant growth and development. However, one of these effects, promotion of tuber and bulb formation, is not considered a main effect of polyamines in the tissue culture system.

Somatic embryogenesis
One of the main effects of polyamines in the tissue culture system is the promotion of somatic embryogenesis. Somatic embryogenesis refers to the process of inducing the formation of embryos from somatic cells, bypassing the need for sexual reproduction. Polyamines have been shown to enhance the frequency and quality of somatic embryogenesis in various plant species. They can stimulate cell division and differentiation, leading to the formation of somatic embryos.

Adventitious root formation
Polyamines also play a crucial role in adventitious root formation in tissue culture. Adventitious roots are roots that develop from non-root tissues, such as stem or leaf cuttings. Polyamines have been found to enhance the formation and elongation of adventitious roots in tissue culture systems. They promote cell division and differentiation in the root meristem, leading to the development of new roots.

Promotion of shoot formation
Polyamines are known to promote shoot formation in tissue culture. Shoot formation refers to the regeneration of shoots from explants, such as leaf or stem segments. Polyamines stimulate cell division and differentiation in the shoot meristem, leading to the formation of new shoots. They also play a role in the regulation of shoot development by influencing the balance between shoot proliferation and shoot elongation.

Promotion of tuber and bulb formation (Not a main effect)
In contrast to the other effects, the promotion of tuber and bulb formation is not considered a main effect of polyamines in the tissue culture system. While polyamines have been shown to affect the development of storage organs like tubers and bulbs in plants, their role in this process is not as extensively studied or well-established as their effects on somatic embryogenesis, adventitious root formation, and shoot formation. Therefore, it is not considered a main effect of polyamines in the tissue culture system.

In conclusion, polyamines have various effects in the tissue culture system, including the promotion of somatic embryogenesis, adventitious root formation, and shoot formation. However, the promotion of tuber and bulb formation is not considered a main effect of polyamines in the tissue culture system.

Which of the following concentration factor is affected by change in temperature?
  • a)
    Molarity
  • b)
    Molality
  • c)
    Mole fraction
  • d)
    Weight fraction
Correct answer is option 'A'. Can you explain this answer?

Manav Patel answered
Concentration factors are used to express the amount of solute present in a given amount of solvent or solution. These factors include molarity, molality, mole fraction, and weight fraction. Among these, molarity is the concentration factor that is affected by changes in temperature.

Molarity, also known as molar concentration, is defined as the number of moles of solute present in one liter of solution. It is expressed in moles per liter (mol/L). The molarity of a solution can change with temperature because the volume of the solution is dependent on temperature.

When the temperature of a solution increases, the volume of the solution generally expands. This expansion leads to an increase in the total volume of the solution, while the amount of solute remains constant. As a result, the molarity of the solution decreases.

Similarly, when the temperature of a solution decreases, the volume of the solution generally contracts. This contraction leads to a decrease in the total volume of the solution, while the amount of solute remains constant. As a result, the molarity of the solution increases.

Therefore, it can be concluded that molarity is affected by changes in temperature because the volume of the solution changes with temperature, which in turn affects the concentration of the solution.

On the other hand, molality, mole fraction, and weight fraction are concentration factors that are not affected by changes in temperature.

Molality is defined as the number of moles of solute present in one kilogram of solvent. It is expressed in moles per kilogram (mol/kg). Since molality is based on the mass of the solvent, it does not depend on the temperature-dependent volume changes.

Mole fraction is a dimensionless quantity that represents the ratio of the number of moles of a component to the total number of moles in the solution. It is not affected by changes in temperature because it is a ratio of moles and does not involve volume or mass.

Weight fraction, also known as mass fraction, is the ratio of the mass of solute to the total mass of the solution. Like mole fraction, it is a ratio of masses and is not affected by changes in temperature.

In summary, molarity is the concentration factor that is affected by changes in temperature. Molality, mole fraction, and weight fraction are not affected by changes in temperature as they are based on ratios of moles or masses and do not involve volume changes.

The possible terms arising from a p1d1 configuration are
  • a)
    1F and 2D
  • b)
    3F and 3D
  • c)
    3F and 1D
  • d)
    3F and 1F
Correct answer is option 'C'. Can you explain this answer?

Rajat Kapoor answered
Understanding p1d1 Configuration
The p1d1 configuration refers to the arrangement of electrons in the atomic orbitals. The specific arrangement in question allows us to derive the possible terms.
Terms Derived from p1d1 Configuration
To analyze the terms, we consider the following:
- p Orbital (1 electron): The p orbital can have a maximum of 3 orbitals (px, py, pz) and holds one electron in this case. The possible angular momentum (L) states are:
- L = 1 (p state)
- d Orbital (1 electron): The d orbital can have a maximum of 5 orbitals (dxy, dyz, dzx, dx2-y2, dz2) and also holds one electron here. The possible angular momentum states are:
- L = 2 (d state)
Combining the Angular Momentum States
When combining the p and d states, we use the vector coupling of angular momentum:
- The total angular momentum (L) can be calculated as:
- L can range from |L1 - L2| to |L1 + L2|, where L1 is from the p orbital (1) and L2 is from the d orbital (2).
Thus, the possible values for the total angular momentum (L) are:
- L = 1 (p) + L = 2 (d):
- Possible values: L = 1, 2, 3 (which corresponds to terms: P, D, F)
Possible Terms and Their Multiplicities
- 3F: This term arises from the maximum multiplicity due to two unpaired electrons.
- 1D: This term arises when the total spin is paired.
- 1F: This is a singlet state with a total spin of S = 0.
Given these combinations, the possible terms from the p1d1 configuration can be summarized as:
- 3F
- 1D
Conclusion
Therefore, the correct answer from the options provided is 3F and 1D, which corresponds to option 'C'.

The rate of reaction that does not involve gases, is not dependent on:
  • a)
    pressure
  • b)
    temperature
  • c)
    concentration
  • d)
    catalyst
Correct answer is option 'A'. Can you explain this answer?

Meera Kapoor answered
Pressure does not affect the rate of reaction:
Pressure does not affect the rate of a reaction that does not involve gases because pressure only affects the rate of reactions involving gases. For reactions that do not involve gases, the pressure of the system does not impact the rate at which the reaction occurs.

Factors affecting the rate of reaction:
- Temperature: Increasing the temperature generally increases the rate of reaction as it provides more energy for the molecules to react.
- Concentration: Higher concentration of reactants usually leads to a faster rate of reaction as there are more molecules colliding with each other.
- Catalyst: Catalysts can speed up a reaction by providing an alternative pathway with lower activation energy, but they do not participate in the reaction itself.
Therefore, in the absence of gases in a reaction, pressure does not play a role in determining the rate of reaction. It is important to consider the specific factors that influence the rate of a reaction in order to accurately predict and control the rate at which it occurs.

The absorption at λmax 279 nm (ε = 15) in the UV spectrum of acetone is due to
  • a)
    π−π transition
  • b)
    n−π transition
  • c)
    σ−σ transition
  • d)
    π−σ transition
Correct answer is option 'B'. Can you explain this answer?

Adhya Patel answered
A particular wavelength can be influenced by various factors, including the concentration of the absorbing substance, the path length of the light through the sample, and the presence of other substances that may interfere with the absorption. The absorption at a specific wavelength is typically measured using a spectrophotometer, which can provide information about the concentration of the absorbing substance in a sample. By comparing the absorption at different wavelengths, scientists can determine the unique absorption spectrum of a particular substance, which can be used for identification and quantification purposes.

The value of d111 in a cubic crystal is 325.6 pm. The value of d333 is
  • a)
    325.6 pm
  • b)
    976.8 pm
  • c)
    108.5 pm
  • d)
    625.6 pm
Correct answer is option 'C'. Can you explain this answer?

Arnav Chawla answered
The Concept of Interplanar Spacing
In crystallography, the interplanar spacing (d) is a measure of the distance between parallel planes of atoms in a crystal lattice. For cubic crystals, the interplanar spacing can be determined using Miller indices.
Miller Indices
- Miller indices are a notation system in crystallography for planes in crystal lattices.
- For cubic crystals, the indices (hkl) correspond to specific planes.
- The notation d_hkl indicates the spacing between the planes indexed by (hkl).
Given Values
- d_111 = 325.6 pm (picometers)
- We need to find d_333.
Calculation of d_333
The relationship between d_hkl is given by the formula:
d_hkl = a / sqrt(h^2 + k^2 + l^2)
Where 'a' is the lattice parameter (the distance between two points in the crystal), and (h, k, l) are the Miller indices.
For d_111:
- We have (h, k, l) = (1, 1, 1).
- Thus, d_111 = a / sqrt(1^2 + 1^2 + 1^2) = a / sqrt(3).
For d_333:
- We have (h, k, l) = (3, 3, 3).
- Thus, d_333 = a / sqrt(3^2 + 3^2 + 3^2) = a / sqrt(27) = a / (3*sqrt(3)).
Using the relationship between d_111 and d_333:
- d_333 = d_111 / 3 = 325.6 pm / 3 = 108.5 pm.
Conclusion
Thus, the value of d_333 is indeed 108.5 pm, which corresponds to option 'C'.

Considred the following isomerisms
I. ionisation
III. coordinates
II. hydrate
IV. geometrical,
V. optical
Which of the above isomerisms are exhibited by [Cr(NH3)2(OH), Cl2]+?
  • a)
    I and V
  • b)
    III and IV
  • c)
    II and III
  • d)
    IV and V
Correct answer is option 'D'. Can you explain this answer?

Academia Elite answered
Let's consider each type of isomerism:
I. Ionisation Isomerism - This form of isomerism arises when there is an interchange of groups between the coordination sphere of metal ion and ions outside it.
This is not applicable to the given complex because all ions are part of the coordination sphere, and there's none outside of it.
II. Hydrate Isomerism (also known as Solvate Isomerism) - This type of isomerism is observed in complexes wherein water can be either present in coordination sphere or outside the coordination sphere.
In the given complex, there is no H2O molecule involved.
III. Coordination Isomerism - This form of isomerism arises due to the interchange of ligands between cationic and anionic entities of different metal ions present in a complex.
This is not applicable in this case because there's only one metal ion (chromium) in the complex.
IV. Geometrical Isomerism - This occurs when there can be different spatial arrangements of the ligands, which are different from each other in space. These types of isomers often occur in square planar or octahedral complexes.
In the given complex, which is likely to be an octahedral complex, we can consider Cl (chlorine) and OH (hydroxide) as one type of ligand, and NH3 (ammonia) as another type of ligand. This configuration could exhibit cis-trans isomerism (a kind of geometrical isomerism), where the positions of the Cl and OH could differ.
V. Optical Isomerism - Optical isomers are those which are non-superimposable mirror images of each other. In coordination compounds, these exist when the complex can form chiral structures.
The given complex can form chiral structures due to dissimilar ligands' arrangement, meaning it could exhibit optical isomerism..
Therefore, the correct answer is 4) IV and V.
So, the complex [Cr(NH3)2(OH)Cl2]+ exhibits Geometrical Isomerism (IV) and Optical Isomerism (V).

The optimum DP value of cellulose is
  • a)
    150
  • b)
    250
  • c)
    400
  • d)
    500
Correct answer is option 'B'. Can you explain this answer?

JKL Classes answered
The optimum DP value of cellulose is 250. The number of monomeric units contained in the polymer is called degree of polymerisation (DP).

A reactor is supplied with a feed of composition 46% C3H7O4, 44% O2 and 10% N2, if 50% of the limiting reagent is converted into product, what is the percentage of O2 in the product?
  • a)
    10
  • b)
    18
  • c)
    38
  • d)
    54
Correct answer is option 'B'. Can you explain this answer?

JKL Classes answered
The reaction is 4C3H7O4 + 11O2 → 12CO2 + 14H2O, ⇒ Limiting reagent is O2. Let 100 moles of feed was supplied, ⇒ after the reaction, moles of CO2 = 24, moles of H2O = 28, moles of O2 = 22, moles of C3H7O4 = 38, moles of N2 = 10, ⇒ percentage of O2 = 18%

An unsteady-state system, with 10 liters as initial amount of water in the vessel, water flow in rate is 8 liters/ s and flow out rate is 5 liters/s, what will be the amount of water in the vessel after 10 seconds?
  • a)
    10 liters
  • b)
    20 liters
  • c)
    30 liters
  • d)
    40 liters
Correct answer is option 'D'. Can you explain this answer?

Initial Conditions
- Initial amount of water: 10 liters
- Water flow in rate: 8 liters/second
- Water flow out rate: 5 liters/second
Net Flow Rate
- Net flow rate = Flow in rate - Flow out rate
- Net flow rate = 8 liters/s - 5 liters/s = 3 liters/s
Time Duration
- Duration: 10 seconds
Change in Water Amount
- Change in water amount = Net flow rate x Time duration
- Change in water amount = 3 liters/s x 10 seconds = 30 liters
Total Amount of Water After 10 Seconds
- Total amount of water = Initial amount + Change in water amount
- Total amount of water = 10 liters + 30 liters = 40 liters
Conclusion
- After 10 seconds, the amount of water in the vessel will be 40 liters. Thus, the correct answer is option 'D'.

Comparing numerical values, which of the following is different from the rest?
  • a)
    The ratio of the circumference of a circle to its diameter.
  • b)
    The sum of the three angles of a plane triangle expressed in radians.
  • c)
    22/7.
  • d)
    The net volume of a hemisphere of unit radius, and a cone of unit radius and unit height.
Correct answer is option 'C'. Can you explain this answer?

Explanation:

C) 22/7:
- 22/7 is an approximation for the mathematical constant π (pi), which represents the ratio of a circle's circumference to its diameter.
- It is an irrational number and its decimal representation is approximately 3.14159.
- Unlike the other options provided, 22/7 is a specific numerical approximation for π, rather than a geometric or mathematical concept.

A) Ratio of the circumference of a circle to its diameter:
- The ratio of a circle's circumference to its diameter is a constant value known as π (pi).
- It is approximately equal to 3.14159 and is the same for all circles, making it a universal constant in geometry.

B) Sum of the three angles of a plane triangle expressed in radians:
- The sum of the three angles of any plane triangle is always equal to π radians or 180 degrees.
- This is a fundamental property of triangles in geometry and is independent of the specific dimensions or shape of the triangle.

D) Net volume of a hemisphere and a cone:
- The net volume of a hemisphere with a unit radius and a cone with a unit radius and height can be calculated using specific formulas for each shape.
- These values are determined by mathematical formulas and are not dependent on approximations or constants like π.
In conclusion, option C (22/7) stands out as different from the other options because it represents a specific numerical approximation for π, while the rest are based on fundamental geometric or mathematical concepts.

Consider the following with regard to gas chromatography (GC).
A. Electron capture
B. Deemter equation
C. Partition Coefficient
D. Critical temperature of gas
Of the above, which are relevant to GC?
Choose the correct answer from the options given below:
  • a)
    A, B and D only
  • b)
    A, C and D only 
  • c)
    B, C and D only
  • d)
    A, B and C only
Correct answer is option 'D'. Can you explain this answer?

Academia Elite answered
The electron capture detector is an example of a selective detector. Emitter, such as 63Ni. The emitted electrons ionize the mobile phase, usually N2, generating a standing current between a pair of electrodes. When a solute with a high affinity for capturing electrons elutes from the column, the current decreases, which serves as the signal. The ECD is highly selective toward solutes with electronegative functional groups, such as halogens and nitro groups, and is relatively insensitive to amines, alcohols, and hydrocarbons. Although its detection limit is excellent, its linear range extends over only about two orders of magnitude.
  • The van Deemter equation is a hyperbolic function that predicts that there is an optimum velocity at which there will be the minimum variance per unit column length and, thence, a maximum efficiency. The van Deemter equation was the result of the first application of rate theory to the chromatography elution process.
  • The most common mobile phases for gas chromatography are He, Ar, and N2, which have the advantage of being chemically inert toward both the sample and the stationary phase. The nature of the carrier gas has no significant influence on K, the partition coefficient, but it does have an effect on the solutes dispersion (has an effect on Neff and LOD).  The choice of carrier gas often is determined by the needs of instrument detector. For a packed column the mobile phase velocity usually is 25–150 mL/min. The typical flow rate for a capillary column is 1–25 mL/min.
Thus, the correct option is 4.

If 20% of a = b, then b% of 20 is the same as :
  • a)
    4% of a
  • b)
    6% of a
  • c)
    8% of a
  • d)
    10% of a
Correct answer is option 'A'. Can you explain this answer?

JKL Classes answered
20% of a = b  ⇒ (20/100)a = b 
b% of 20 = (b/100) x 20 = (20a/100) x (1/100) x (20) = 4a/100 = 4% of a.

Electrolysis of 50% H2SO4 gives
  • a)
    H2
  • b)
    H2O
  • c)
    D2O
  • d)
    H2O2
Correct answer is option 'D'. Can you explain this answer?

Electrolysis of 50% H2SO4
The electrolysis of 50% H2SO4 involves the decomposition of sulfuric acid using an electric current. This process results in the formation of various products depending on the concentration of the sulfuric acid and the conditions of the electrolysis.

Products of Electrolysis
- When 50% H2SO4 is electrolyzed, the main products that are generally formed are hydrogen gas (H2) and oxygen gas (O2).
- The reaction at the anode is 2H2O → O2 + 4H+ + 4e-, leading to the formation of oxygen gas.
- The reaction at the cathode is 2H+ + 2e- → H2, resulting in the generation of hydrogen gas.
- Therefore, the electrolysis of 50% H2SO4 mainly produces H2 and O2 as the final products.

Other Possible Products
- In some cases, the electrolysis of sulfuric acid can also lead to the formation of hydrogen peroxide (H2O2) as a byproduct. This is due to the presence of oxygen and hydrogen ions in the electrolyte.
- The formation of hydrogen peroxide can occur through various intermediate reactions involving the reduction of oxygen at the cathode.

Correct Answer
- In the given options, the correct answer is H2O2 (hydrogen peroxide) as one of the products of the electrolysis of 50% H2SO4.
- While hydrogen gas (H2) and water (H2O) are the primary products, the presence of oxygen can lead to the formation of hydrogen peroxide (H2O2) as an additional product.
In conclusion, the electrolysis of 50% H2SO4 produces hydrogen gas, oxygen gas, and hydrogen peroxide as the main products.

Select the incorrect statement from the following option.
  • a)
    Emission spectrum results when an electron in an atom undergoes a transition from an excited state to the ground state.
  • b)
    In the emission spectrum, transition takes place with the emission of a photon of energy hv
  • c)
    In the emission spectrum, transition takes place with the absorption of a photon of energy hv.
  • d)
    All of the mentioned
Correct answer is option 'C'. Can you explain this answer?

Gayathri Nair answered
Incorrect statement: In the emission spectrum, transition takes place with the absorption of a photon of energy hv.

Explanation:
The emission spectrum is a set of wavelengths of electromagnetic radiation emitted by an atom when its electrons transition from higher energy levels (excited state) to lower energy levels (ground state). The emission spectrum is a characteristic property of each element and can be used to identify the presence of specific elements.

Statement (a): Emission spectrum results when an electron in an atom undergoes a transition from an excited state to the ground state.
This statement is correct. When an electron in an atom jumps from a higher energy state to a lower energy state, it emits a photon of specific energy, resulting in the emission spectrum.

Statement (b): In the emission spectrum, transition takes place with the emission of a photon of energy hv.
This statement is correct. In the emission spectrum, the transition of an electron from a higher energy level to a lower energy level results in the emission of a photon of specific energy. The energy of the emitted photon is given by the equation E = hv, where E is the energy of the photon, h is Planck's constant, and v is the frequency of the photon.

Statement (c): In the emission spectrum, transition takes place with the absorption of a photon of energy hv.
This statement is incorrect. In the emission spectrum, the transition of an electron occurs with the emission, not absorption, of a photon. When an electron drops from a higher energy level to a lower energy level, it releases energy in the form of a photon.

Therefore, the incorrect statement is option (c). The emission spectrum is characterized by the emission of photons, not the absorption of photons.

Consider the following statements about Infrared (IR) spectroscopy.
A. It is used to determine the band gap, the band structure, and the charge carrier concentration of a compound.
B. It is used to identify the functional group(s) of a compound.
C. It is used to characterize different stretching and bending modes of vibration in molecules.
D. Heteronuclear diatomic molecules are IR-active.
The correct statements are
  • a)
    A, B, C, and D
  • b)
    B, C, and D only
  • c)
    A, B, and C only
  • d)
    B and C only 
Correct answer is option 'B'. Can you explain this answer?

Aniruddh Nair answered

Explanation:

Identifying the correct statement:
- Statement B is the correct statement about Infrared (IR) spectroscopy.
- IR spectroscopy is commonly used to identify the functional group(s) present in a compound based on the characteristic absorption bands in the infrared region.

Explanation of Incorrect Statements:

Statement A:
- IR spectroscopy is not typically used to determine the band gap, band structure, or charge carrier concentration of a compound.
- These properties are more commonly studied using techniques such as UV-Vis spectroscopy, X-ray crystallography, or Hall effect measurements.

Statement C:
- IR spectroscopy is used to characterize different stretching and bending modes of vibration in molecules.
- This is one of the key applications of IR spectroscopy, as different functional groups exhibit characteristic IR absorption bands corresponding to specific vibrational modes.

Statement D:
- Heteronuclear diatomic molecules are typically not IR-active.
- IR absorption in diatomic molecules is primarily observed in homonuclear molecules due to changes in dipole moment during vibration.

Therefore, the correct statement is B: "It is used to identify the functional group(s) of a compound."

Which of the following term describe saponification?
  • a)
    Cleaving of ester molecules into carboxylic acid and alcohol
  • b)
    Dehydration synthesis by removing water
  • c)
    Hydrolysis of a salt by adding a weak acid
  • d)
    Synthesis of two alkyl groups to make an ether
Correct answer is option 'A'. Can you explain this answer?

Saponification Explained
Saponification is a chemical reaction that plays a crucial role in the production of soap. It involves the transformation of fats or oils (which are typically esters) into soap and glycerin. Here’s a detailed breakdown of why option 'A' is the correct answer:
Definition of Saponification
- Saponification specifically refers to the hydrolysis of esters in the presence of a strong base.
- In the case of fats and oils, they are triglycerides, which are esters formed from glycerol and fatty acids.
Process of Saponification
- When a triglyceride undergoes saponification, it reacts with a strong base like sodium hydroxide (NaOH) or potassium hydroxide (KOH).
- This reaction cleaves the ester bonds, resulting in the formation of carboxylate salts (the soap) and glycerol.
Key Reaction Components
- Ester Cleavage: The reaction breaks the ester bonds, leading to the production of carboxylic acids and alcohol.
- Alkaline Hydrolysis: The presence of a base facilitates the hydrolysis process, effectively breaking down the ester molecules.
Conclusion
- Therefore, option 'A' accurately describes saponification as it highlights the cleaving of ester molecules into carboxylic acids and alcohols, making it the correct choice among the options provided.
Understanding saponification is essential for grasping the chemistry behind soap production and its applications in everyday life.

Starting from the same point at the same time, A and B run on a 3600 m circular track with speeds of 4 m/s and 6 m/s, clockwise. After A completes the first round on the track, she reverses direction and runs anticlockwise. After how many seconds of starting the run would they cross for the first time?
  • a)
    1200
  • b)
    1620
  • c)
    1080
  • d)
    1020
Correct answer is option 'C'. Can you explain this answer?

Academia Elite answered
Given, speed of A = 4 m/s and Speed of B = 6 m/s
Length of track = 3600m
To complete 1 lap on the track, time taken by A = 3600/4 = 900 s
Similarly, time taken by B to complete 1 lap on track = 600 s
Now, by the time A completes 1 lap, B will have completed = 900/600 = 1.5 lap
Hence, after 900 seconds their position will be like the following:

Distance between A and B = 1800 m
Let A and B meet at a distance of x from B.

⇒ 4x = 6 × 1800 - 6x
⇒ 10x = 10800
⇒ x = 1080
∴ Time taken to travel x distance = x/6 = 1080/6 = 180 s
∴ Total time before A and B cross each other = 900 + 180 = 1080 s.
∴ After 1080 seconds of starting the run would they cross for the first time.

MnO4- absorbs at 12000cm-1 and 23000cm-1 and show two peaks in its electronic spectrum. Calculate Δt?
  • a)
    1100cm-1
  • b)
    11000cm-1
  • c)
    35000cm-1
  • d)
    -11000cm-1
Correct answer is option 'B'. Can you explain this answer?

Academia Elite answered
  • Energy Levels: In quantum physics, energy levels define the discrete energy values that an electron in an atom or molecule can have. In this context, absorbance refers to the energy required to make a transition from one energy level to another.
  • Quantum Mechanics: The study of particles at the quantum level where energy is quantized. The concept of energy transitions is fundamental in quantum mechanics.
  • Absorption Spectrum: The range of a substance's absorbance at various frequencies. Here, two absorption peaks are given, which suggest two different electronic transitions.
  • Transition Energy: The energy difference between the initial and the final energy level. This is essentially a calculation of how much energy an electron absorbs or emits as it changes its state.
The given question is based on the formula for the transition energy (Δt) between different absorbance in the electronic spectrum. The concept it relates to is called transition energy, which in quantum mechanics is the energy required to transition from one state (energy level) to another.
The formula of transition energy is:
Δt = Efinal - Einitial

Here, Efinal stands for the energy of the final state and Einitial the energy of the initial state.
In the given question, the two absorption values are given as 12000 cm-1 and 23000 cm-1. To calculate the transition energy, Δt, we take the difference between these two values:
Δt = 23000 cm-1 - 12000 cm-1
Δt = 11000 cm-1 
Therefore, from the given options, (2) 11000 cm-1 is the correct answer.

Given below are two statements:
Statement I: In CH2F2 molecule ∠FCF is less than 109.5°
Statement II: In CH2F2 molecule both ∠FCF and ∠HCH are equal
In the light of the above statements, choose the most appropriate answer from the options given below
  • a)
    Both Statement I and Statement II are correct
  • b)
    Both Statement I and Statement II are incorrect
  • c)
    Statement I is correct but Statement II is incorrect
  • d)
    Statement I is incorrect but Statement II is correct.
Correct answer is option 'C'. Can you explain this answer?

Academia Elite answered
In difluoromethane, the F–C–F bond angle is less than 109.5° indicating less than 25 percent 's' character, but the H–C–H bond angle is larger than 109°5' showing more 's' character to the C–H bond. 
In CH2F2, the H–C–H Bond angle is 111.9° but the F–C–F bond angle is 108.3°. From VSEPR theory, the more electronegative F atom effectively increased the separation between the bond pairs, reducing lone pair–lone pair repulsion. Repulsion from the C–H bond pairs reduces the F–C–F bond angle. From Bent's Rule, the F–C–F bond angle is smaller than symmetrical 109.5° indicating that the C–F bond involves less than 25% 's' character, whereas C–H bond uses greater 's' character as reflected in the widening of H–C–H angle.  

The filling of molecular orbital takes place according to
  • a)
    The Aufbau Principle
  • b)
    Pauli Exclusion Principle
  • c)
    Hund’s rule of maximum multiplicity
  • d)
    All of the mentioned
Correct answer is option 'D'. Can you explain this answer?

Academia Elite answered
According to these principles, molecular orbitals are filled in order of increasing energy. Two electrons in the same orbital cannot have the same set of all four quantum numbers identical.

Dividing sixty by half and adding half of forty yields
  • a)
    50
  • b)
    70
  • c)
    100
  • d)
    140
Correct answer is option 'D'. Can you explain this answer?

Academia Elite answered
Dividing sixty by half means dividing sixty by 0.5, which is equivalent to multiplying sixty by 2.
⇒ Dividing sixty by half can be written as 60 / (1/2)
= 60 × 2 = 120.
Adding half of forty means adding 0.5 × 40 = 20 to the result. 
∴ Dividing sixty by half and adding half of forty yields 120 + 20 = 140.

Consider the following statements for deoxy-hemerythrin and deoxy-hemocyanin:
A. they are involved in O2 transport in biological systems
B. they contain two metal ions in their active site
C. active site metal centres are bridged by amino acid residues
D. they prefer to bind only one O2 per active site
The correct statements are
  • a)
    A, B and D 
  • b)
    A, C and D 
  • c)
    B, C and D 
  • d)
    A and C
Correct answer is option 'A'. Can you explain this answer?

Deoxy-hemerythrin and deoxy-hemocyanin


Statement Analysis:

Let's analyze each statement to determine its correctness.

Statement A: they are involved in O2 transport in biological systems
- This statement is correct. Both deoxy-hemerythrin and deoxy-hemocyanin are involved in the transport of oxygen in biological systems.

Statement B: they contain two metal ions in their active site
- This statement is incorrect. Deoxy-hemerythrin contains two iron ions in its active site, while deoxy-hemocyanin contains two copper ions in its active site. Therefore, this statement is only true for deoxy-hemerythrin, not for deoxy-hemocyanin.

Statement C: active site metal centers are bridged by amino acid residues
- This statement is correct. Both deoxy-hemerythrin and deoxy-hemocyanin have metal centers in their active sites that are bridged by amino acid residues. In deoxy-hemerythrin, the iron ions are bridged by histidine residues, while in deoxy-hemocyanin, the copper ions are bridged by histidine residues.

Statement D: they prefer to bind only one O2 per active site
- This statement is incorrect. Deoxy-hemerythrin can bind two oxygen molecules per active site, while deoxy-hemocyanin can bind only one oxygen molecule per active site. Therefore, this statement is only true for deoxy-hemocyanin, not for deoxy-hemerythrin.

Correct Statements:

Based on the analysis above, the correct statements are:

- A. they are involved in O2 transport in biological systems
- B. they contain two metal ions in their active site (only true for deoxy-hemerythrin)
- D. they prefer to bind only one O2 per active site (only true for deoxy-hemocyanin)

Therefore, the correct answer is option 'A' (A, B, and D).

The number of allowed EPR lines expected for a metal ion with 3 unpaired electrons and a nuclear spin (I) of 7/2 is
  • a)
    8
  • b)
    32
  • c)
    36
  • d)
    24
Correct answer is option 'D'. Can you explain this answer?

JKL Classes answered
Number of lines for EPR can be determined by the equation 
No. Of Lines = unpaired electrons (2nI+1)
where, I = nuclear spin
n = no. of metals 
Given: 
unpaired electrons = 3
n = 1 (only metal ion is present)
I = 7/2
No. of Lines = 3 X (2 X 1 X 7/2 +1)
No. of Lines = 24 lines
Hence, the number of lines observed in EPR are 24 lines.

For a system of two fermionic particles that can be in any one of three possible quantum states each, the ratio of the probability that two particles are in the same state to that when the two particles are in different states is
  • a)
    1
  • b)
    1/2
  • c)
    0
  • d)
    1/3
Correct answer is option 'C'. Can you explain this answer?

JKL Classes answered
  • For a system of two fermionic particles, the Pauli exclusion principle applies, which states that no two fermions can occupy the same quantum state simultaneously.
  • This means that the probability of finding two fermions in the same quantum state is zero.
  • Therefore, the ratio of the probability that two fermionic particles are in the same state to the probability that they are in different states is 0.
  • Since fermions cannot occupy the same state, the ratio doesn't have a well-defined value.
  • The probability of finding two fermions in the same state is zero, making the ratio undefined in this case.
Hence, the probability that two particles are in the same state to that when the two particles are in different states is 0.

Suppose a, b, c, d and e are five positive integers such that the values of a + b, b + c, c + d, d + e and e + 7 are same. Which of the following values is always same as a?
  • a)
    c + e
  • b)
    c + d + 7
  • c)
    d + e - 7
  • d)
    (b + c + d)/3
Correct answer is option 'C'. Can you explain this answer?

JKL Classes answered
Given the conditions that a + b, b + c, c + d, d + e, and e + 7 have the same value
⇒ a + b = b + c = c + d = d + e = e + 7
From a + b = b + c, we can infer that a = c.
From b + c = c + d, we can infer that b = d.
From c + d = d + e, we can infer that c = e.
From d + e = e + 7, we can infer that d = 7
Substituting these values into the equation a + b = b + c, we have:
a + b = b + c
⇒ a + b = b + e (since c = e)
⇒ a = e
⇒ a = 7 + e - 7
⇒ a = d + e - 7
∴ The value of d + e - 7 is always the same as the value of a.

In the vibrational spectrum of CO2, the number of fundamental vibrational modes common in both infrared and Raman are
  • a)
    Two
  • b)
    three
  • c)
    zero
  • d)
    one
Correct answer is option 'C'. Can you explain this answer?

Academia Elite answered
  • CO2 is a linear molecule.
  • The rotation of a linear molecule changes with the angle between the molecule and the 2 perpendicular axes.
  • CO2 which is a linear molecule has two rotational degrees of freedom.
  • Thus, for linear molecules like CO2, the vibrational degree of freedom is 4.
  • CO2 molecule that possesses a centre of symmetry.
  • Thus, in the vibrational spectrum of CO2, the number of fundamental vibrational modes common in both infrared and Raman are Zero. (According to Rule of mutual exclusion)
Hence, option 3 is the correct answer.

The μeff of [Fe(S2CNEt2)3] changes with temperature with the involvement of two electronic states. The states are 
  • a)
    low spin 2T2g and high-spin 6A1g
  • b)
    low spin 1T1g and high-spin 3A2g.
  • c)
    low spin 2Eg and high-spin 6A1g.
  • d)
    low spin 2T2g and high-spin 4A1g.
Correct answer is option 'A'. Can you explain this answer?

Academia Elite answered
  • In [Fe(S2CNEt2)3], the oxidation state of Fe = +3
  • he observed electronic spectra of d2, d3, d7, and d8 octahedral and tetrahedral complexes ion, is as follows:
  • On increasing the temperature the electronic state of Fe3+ changes from ground state low-spin 2T2g to exited state high-spin 6A1g.

The number of bonding molecular orbitals and the number of available skeletal electrons in [B6H6]2−, respectively, are
  • a)
    7 and 14
  • b)
    6 and 12 
  • c)
    18 and 12
  • d)
    6 and 14
Correct answer is option 'A'. Can you explain this answer?

Academia Elite answered
[B6H6]2− has 6 + 1 = 7 binding molecular orbital
  • [B6H6]2− has B - H bond and each bond contributes 2 electrons.
  • Total number of electrons
= 2 × 6 + 2 (for 2 negative charge)
= 12 + 2 
= 14 e-
  • Hence, the number of bonding molecular orbitals and the number of available skeletal electrons in [B6H6]2−, respectively, are 7 and 14.
  • Correct option is (a).

The number of inorganic sulfides in cubane like ferredoxin and their removal method, respectively, are
  • a)
    eight and washing with an acid
  • b)
    four and washing with a base
  • c)
    eight and washing with a base
  • d)
    four and washing with an acid
Correct answer is option 'D'. Can you explain this answer?

Academia Elite answered
  • Inorganic sulfides can be present in cubane-like ferredoxins, which are metalloproteins involved in electron transfer reactions. The number of inorganic sulfides in cubane-like ferredoxins can vary depending on the specific ferredoxin and its metal center.
  • Typically, cubane-like ferredoxins contain a cubane cluster of iron-sulfur (Fe-S) atoms, which can include both inorganic sulfides (S2-) and inorganic iron (Fe2+). The cluster is often represented as [4Fe-4S] or [Fe4S4], indicating the presence of four iron atoms and four sulfur atoms in the cluster.
  • Cubane like ferredoxin is Fe4S4
  • It has four inorganic sulfide (S2-) which can be removed by treatment with acid.

The ratio of two numbers a and b is 3:7. After adding 9 to each number, the ratio becomes 9:17. The numbers a and b are:
  • a)
    (6,14)
  • b)
    (9,21)
  • c)
    (15,35)
  • d)
    (18,42)
Correct answer is option 'D'. Can you explain this answer?

Academia Elite answered
Let the number be 3x and 7x.
(3x+9):(7x+9) = 9:17, or
17(3x+9) = 9(7x+9), or
51x+153 = 63x+81, or
x = 6
Therefore the numbers are :-
First number = 3x = 3*6 = 18
Second number = 7x = 7*6 = 42
So, the correct option is (D)

The present age of a father is square of the age of his son. After six years, the age of the father would be 3(1/2) times the age of the son. The present age of the father is
  • a)
    36
  • b)
    42
  • c)
    48
  • d)
    54
Correct answer is option 'A'. Can you explain this answer?

Academia Elite answered
Let present age of father be 'x' years and present age of son be 'y' years.
At present, x = y2...(i)
After 6 years, (x + 6) = 7/2(y + 6)
⇒ 2(x + 6) = 7(y + 6)
⇒ 2x + 12 = 7y + 42
⇒ 2x = 7y + 30
⇒ 2y2 = 7y + 30 [Using (i)]
⇒ 2y2 - 7y - 30 = 0
⇒ y = 6, −(5/2)
∴ Present age of son = 6 years [∵ age cannot be negative]
∴ Present age of father = 62 = 36 years

The rotational spectrum of 12C16O shows the gap between the spectral lines from J"=3→4 to J" =9→10 is 24 cm-1. The rotational constant of 13C16O in cm-1 is closest to
  • a)
    2.98
  • b)
    0.88
  • c)
    1.90
  • d)
    2.08
Correct answer is option 'C'. Can you explain this answer?

Academia Elite answered
  • Now, the energy separation of 12C16O rotational energy levels between J"=3 and J" = 9 is 24 cm-1.
  • From the rotation energy level J"=3 to J" = 9, there are 7 energy levels and 6 spectral lines. These are for 3→4, 4→5, 5→6, 6→7, 7→8, 8→9 transitions.
  • The energy separation between the two successive spectral lines is 2B. Thus, the energy separation between rotation energy level J"=3 to J" = 9 is 12B (6 spectral lines = 2B×6 = 12B).
  • Hence, 12B = 24cm−1
  • Thus for 12C16O, 
    B12C16O=2cm−1
  • As the reduced mass changes (μ) the value of rotational constant (B) also changes as


    ≈1.9
  • So, the value of rotational constant B for 13C16O is closest to 1.9 cm-1
Thus, the rotational constant of 13C16O in cm-1 is closest to 1.9 cm-1

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