GATE Chemistry Mock Test - 3

Choose the most appropriate word from the options given blow to complete the following sentence:            Given the seriousness of the situation that he had to face, his ____ was impressive:           

Choose the most appropriate alternative from the options given below to complete the following sentence:            If the tired soldier wanted to lie, down, he _______ the mattress, out on the balcony.           

One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions, were against them. Which one of the following statements best sums up the meaning of the above passage?           

A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. The probability that they will meet on that day is:           

The data given in the following table summarizes the monthly budget of an average household.

The approximate percentage of the monthly budget not spent on savings is:           

There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighing required to identify the heavier bag is:           

Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has is:           

Which of the following statement is incorrect?

The reagents A and B in the following reactions are:
 

The given carbocation rearrangement into:

The reaction given below is an example of:

Major product formed in the following chemical reaction would be?

Which of the following chemical conversion is incorrectly presented?

Choose correct statement/s:           

Which is true about the structure of H₂Ru₆(CO)₁₈?        

Anhydrous AlCl₃ cannot be obtained from which of the following reactions:        

Number of nodes in 1-D S.H.O models is given by (V = Vibrational Quantum number):           

The percent transmittance of 8 × 10^–5 M solution of KMnO₄ is 39.8 when measured at 510 nm in a cell of path length of 1 cm. The absorbance and the molar extinction coefficient (in M^–1 cm^–1) of this solution respectively, are:

Emf of Cd-cell is 1.018 V at 25°C. The temperature coefficient of cell is –5.2 × 10^–5 VK^–1. How cell temperature will change during operation?           

What is the normal freezing point of the solution represented by the phase diagram?     

At 30°C the solubility of Ag₂CO₃ (K_sp = 8 × 10^–12) would be greatest in one litre of:

If a particle has linear momentum  at position  , then its angular momentum is:

Aluminum metal has a density of 2.72g/cm³ and crystallizes in lattice with an edge length of 404 pm. Which of the following alternative are correct:           

Choose correct statemet(s) in reference to fractional distillation:           

Which of the following is not a water absorber and dehydrating substance:          

In bis(dimethylglyoximato)nickel(II), the number of Ni—N, Ni—O and intramolecular hydrogen bond(s), respectively are:           

The correct non-linear and iso-structural pair is:

In which of the following arrangements the sequence is not strictly according to the property written against it:

Molar conductance at infinite dilution for BaCl₂, KCl, K₂SO₄ and Cl^- are 280, 150,300 and 76 ohm^-1m²mol^-1 respectively. Calculate the transport number of Ba⁺² in BaSO₄ solution at infinite dilution.

For a given gas Critical temperature (T_c) was found to be 40 K. Hence, T_i would be?

Energy for a particle in 1-D box is given by E_n = 72h²/ma² where ‘a’ is length of box. Find its quantum mechanical state?

What is [H⁺] in a solution obtained when 0.1 M ammonia is just neutralized by a strong HCl? Given: (Kb = 1.8 × 10^–5) [In the multiple of 10^-6, up to two decimal places]:

¹H NMR spectrum of [Ru(h⁴-C₈H₈)(CO)₃] at 23°C consists of a sharp single line. The number of signals observed at low temperature (–140°C) in its spectrum is:

Choose the correct statement(s) in reference to [Re₂Cl₈]²-:           

Gelatin added during the polarographic measurement carried out using dropping mercury electrode:           

Choose correct statement(s):  I. In hemoglobin, the heme part is synthesized in a series of steps in the mitochondria and the cytosol of immature red blood cells, while the globin protein parts are synthesized by ribosomes in the cytosol II. Most of the amino acids in hemoglobin form alpha helices, and these helices are connected by short non-helical segments. Hydrogen bonds stabilize the helical sections inside this protein, causing attractions within the molecule, which then causes each polypeptide chain to fold into a specific shape. III. Oxyhemoglobin is formed during physiological respiration when oxygen binds to the heme component of the protein hemoglobin in red blood cells.  IV. Deoxygenated hemoglobin is the form of hemoglobin without the bound oxygen.           

1g charcoal show chemical adsorption of some acetic acid on coming in contact with 100 mL of 0.50 M acetic acid and the molarity of acetic acid is reduced to 0.49 M. If surface area of charcoal is 3.015 × 10² m²/g, the surface area of each chemical adsorbed molecule of acetic acid is:

The major product formed in the following reaction is:

At low pressure if RT = 2(aP)^1/2, then, the volume occupied by a real gas is?

In a cubic crystal, the plane [100] is equally inclined to the planes?           

Angular momentum of a particle on a ring would be?           

Consider the following chemical reaction and choose the correct product:

Consider the following chemical reaction and choose the correct product:
 

Consider the following chemical reaction and choose the correct product:

Match correctly the given carbonyls with their corresponding IR stretching value:
 

Carbonyl                                                           

            (W) ¹²C O¹⁶                                           (k) 2160

            (X) ¹³C O¹⁶                                            (l) 1830

            (Y) ¹³C O¹⁷                                            (m) 1951

            (Z) ¹²C O¹⁷                              (n) 2106

Consider the following chemical reaction and choose the correct product:

Only two products are obtained in the following reaction sequence. The structures of the products from the list I-IV are:

 

In ESR spectrum of organic radicals, g-value for organic radicals generally ranges from?           

If unit cell of a material has ccp array of Oxygen atoms with ‘m’ fraction of Octahedral holes occupied by Aluminium ions and ‘n’ fraction of Tetrahedral holes occupied by Magnesium ions. Then ‘m’ and ‘n’ are respectively:           

Choose the correct statement(s) in reference to MO theory:           
(I) Total energy depends upon S₁₂ and H₁₂           
(II) Combination is better when energy of Փ₁ = Փ₂           
(III) Only those orbitals overlap which have symmetry related to molecular axis           
(IV) C₁C₂ represents electron probability density in the overlapping region of Փ₁ and Փ₂                  

A sample of rock from moon contains equal number of atoms of uranium and lead (t_1/2 for U = 4.5 × 10⁹ years). The age of the rock would be:

Products A and B are:

When 80 mL of 0.20 M HCl is mixed with 120 mL of 0.15 MKOH, the resulting solution is same as a solution of:           

B₂H₆ reacts with
(I) Water to give boric acid and H₂    (II) Oxygen to give B₂O₃ and H₂
(III) Water to give boric acid and H₂O                                     (IV) Oxygen to give B₂O₃ and H₂O

Choose the correct statement(s) in reference to radical polymerization:           

Consider the cell Cd|CdCl₂.2H₂O|AgCl_(s)| Hg
The emf of the cell at 15°C is 0.67531 V and temperature coefficient of emf is 0.00065 V deg^–1. Calculate the value of heat flow (in Joules/mol) if the process is carried reversibly: [rounded up to first decimal places]

Conductivity of 0.1 M solution is 0.025 Scm²mol^-1. If 0.1 M solution having equal volume of HCl is added, conductivity decreases to 0.015 Scm²mol^-1. Calculate molar conductivity of NaCl solution:

The chemisorption of H₂ on an activated surface becomes 40% faster if temperature is raised from 500 K to 1000 K. Calculate the activation energy of chemisorptions (in KJ/mol). (rounded up to first decimal place)

If a beam of electrons collide on an energy barrier of height 0.064 eV and infinite width, find the fraction of electrons reflected if energy of coming electron is  0.050 eV:

Calculate number of metal-metal per metal bonds in (u-H)₂ [Cp(NO)WH]₂:

Energy of hydrogen atom is given by E_n = -e²/128ᴨa_o where a_o  is the Bohr’s radius. What would be the value of degeneracy?

Choose the correct statement(s) in reference to Raman Spectroscopy:
(I) Polarized light in one direction only gives access to some Raman–active modes, but rotating the polarization gives access to other modes.
(II) The symmetry of a vibrational mode is deduced from the depolarization ratio ρ, which is the ratio of the Raman scattering with polarization orthogonal to the incident laser and the Raman scattering with the same polarization as the incident laser
(III) Spontaneous Raman spectroscopy  is the term used to describe Raman spectroscopy without enhancement of sensitivity.
(IV) Resonance Raman spectroscopy – The excitation wavelength is matched to an electronic transition of the molecule or crystal, so that vibrational modes associated with the excited electronic state are greatly enhanced.