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Can you explain the answer of this question below:

A man spends Rs 500 in buying 12 tables and chairs. The cost of one table is Rs 50 and that of one chair is Rs 40. What is the ratio of the numbers of the chairs and tables purchased?

  • A:

    5:4

  • B:

    3:2

  • C:

    1:5

  • D:

    None of these

The answer is d.

Rohit Shah answered
Let x = no. Of tables and y = no. Of chairs here, 12 tables and chairs were bought. So, x+y = 12 ...(1) and cost of 1 table is 50 so cost of x tables is 50x similarily cost of y chairs is 40y hence, 50x + 40y = 500 ...(2) solving both the equations we get, x = 2 and y = 10 hence 2:10 = 1:5The answer is c.

Which of the following has least mass?
  • a)
    2 g-atom of nitrogen
  • b)
    3X1023 atoms of C
  • c)
    1 mole of S
  • d)
    7.0 g of Ag
Correct answer is 'B'. Can you explain this answer?

Sparsh Saha answered
Explanation:
To find out the least mass among the given options, we need to calculate the mass of each option.

a) 2 g-atom of nitrogen:
The atomic mass of nitrogen is 14. So, the mass of 1 nitrogen atom is 14/6.022 x 10^23 g. Therefore, the mass of 2 g-atoms of nitrogen is 2 x 14/6.022 x 10^23 g = 4.651 x 10^-22 g.

b) 3x10^23 atoms of C:
The atomic mass of carbon is 12. So, the mass of 1 carbon atom is 12/6.022 x 10^23 g. Therefore, the mass of 3 x 10^23 atoms of carbon is 3 x 12/6.022 x 10^23 g = 5.972 x 10^-21 g.

c) 1 mole of S:
The molar mass of sulfur is 32 g/mol. Therefore, 1 mole of sulfur has a mass of 32 g.

d) 7.0 g of Ag:
The atomic mass of silver is 108. So, the mass of 1 silver atom is 108/6.022 x 10^23 g. Therefore, the mass of 7.0 g of silver is 7.0/108 x 6.022 x 10^23 = 3.953 x 10^22 atoms.

Conclusion:
Out of the given options, 3x10^23 atoms of C has the least mass (5.972 x 10^-21 g).

Which of the following is formed when toluene reacts with fuming nitric acid?
  • a)
    nitrobenzene
  • b)
    nitrotoluene
  • c)
    p-nitrotoluene
  • d)
    TNT
Correct answer is option 'D'. Can you explain this answer?

##toulene undergoes nitration on reacting with nitric acid nd sulphuric acid...it forms di nitro toulene ...then again on heating.. explosive trinitrotoluene forms .

Can you explain the answer of this question below:
Voltage in the secondary coil of a transformer does not depend upon.
  • A:
    Voltage in the primary coil
  • B:
    Ratio of number of turns in the two coils
  • C:
    Frequency of the source
  • D:
    Both a and b

The answer is c.

Vijay Bansal answered
As, V1/V2 = N1/N2;so. V2 = (V1 x N2)/N1Hence we can conclude voltage in secondary coil i.e V2 is independent of Frequency of the source but depends on Voltage in the primary coil and Ratio of number of turns in the two coils.

Can you explain the answer of this question below:
Two solid rubber balls A and B having masses 200 and 400 gm respectively are moving in opposite directions with velocity A equal to 0.3 m/s. After collision the two balls come to rest, then the velocity of B is
  • A:
    0.15 m/sec
  • B:
    1.5 m/sec
  • C:
    - 0.15 m/sec
  • D:
    None of the above

The answer is c.

M1= 200gm or 0.2kg, v1= 0.3m/s m2=400gm or 0.4 kg v2=? m1v1=m2v2 because after collision two ball are stop so collision is elastic and it's not depends on mass(action reactions rule) and it's then possible when two ball moving in opposite direction 0.2×0.3=0.4×(-v2) 0.06/0.4=- v2 v2=-0.15 ans.

If 2x+y=5 and 3x-4y=2, then the value of 2xy is
  • a)
    4
  • b)
    6
  • c)
    8
  • d)
    10
Correct answer is 'A'. Can you explain this answer?

Rajat Kapoor answered
2x + y = 5 ...(i)and3x - 4y = 2 ...(ii)Multiplying (i) by 4 and adding (ii) to it, we get : 11x = 22 or x = 2.Putting x = 2 in (i), we get : y = 1. So, 2xy = 2 * 2 * 1 = 4.

You are given several identical resistances each of value R=10 Ω and each capable of carrying maximum current of 1 ampere. It is required to make a suitable combination of these resistances to produce a resistance of 5Ω which can carry a current of 4 amperes. The minimum number of resistances of the type R that will be required for this job
  • a)
    4
  • b)
    10
  • c)
    8
  • d)
    20
Correct answer is 'C'. Can you explain this answer?

Rajeev Saxena answered
To carry a current of 4 amperes, we need four paths, each carrying a current of one ampere. Let r be the resistance of each path. These are connected in parallel. Hence, their equivalent resistance will be r/4. According to the given problem
r/4=5
r=20
For this propose two resistances should be connected. There are four such combinations. Hence, the total number of resistance = 4 * 2 =8

Which of the following is the second most abundant element in the earth's crust?
  • a)
    carbon
  • b)
    oxygen
  • c)
    silicon
  • d)
    nitrogen
Correct answer is option 'C'. Can you explain this answer?

Oxygen is the most abundant element in the earth crust. Silicon is the second most abundant element and aluminium is the 3rd.

The closest distance of approach of an α - particle travelling with a velocity 'V' to a certain nucleus is 'x'. The distance of closest approach of α - particle travelling with a velocity 3V to the same nucleus is
  • a)
    3x
  • b)
    x/3
  • c)
    9x
  • d)
    x/9
Correct answer is option 'D'. Can you explain this answer?

Kiran Singh answered
Object is known as its perigee. This term is commonly used in astronomy and space exploration to refer to the point in an object's orbit where it is closest to the object it is orbiting. For example, the moon's perigee is the point in its orbit where it is closest to Earth. Similarly, a spacecraft's perigee is the point in its orbit where it is closest to the planet it is orbiting. The opposite of perigee is apogee, which is the point in an object's orbit where it is farthest from the object it is orbiting.

The skull of bird is
  • a)
    Monocondylic
  • b)
    Dicondylic
  • c)
    Amphicondylic
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?

Soumya answered
Birds have single occipital condyle. so they are monocondylic. reptiles are also monocondylic skull.

Which of the following compounds are widely distributed in both plants and animals?
  • a)
    insulin
  • b)
    vitamins
  • c)
    steroids
  • d)
    acetic acid
Correct answer is option 'C'. Can you explain this answer?

Sujata Chandel answered
A steroid is a biologically active organ compound with four rings arranged in specific molecular configuration steroids have a two principal biological functions as important components of cell membrane fluidity and as signaling molecules....

Edible part of Cauliflower is
  • a)
    Bud
  • b)
    Bract
  • c)
    Inflorescence
  • d)
    Leaves
Correct answer is option 'C'. Can you explain this answer?

Ramesh Chand answered
Cauliflower belongs to the species Brassica oleracea from the family Brassicaceae. The edible part of plant though includes the outer jacket leaves and white center called as the curd. This white curd or cauliflower head is actually a white inflorescence meristem which resembles the broccoli. Therefore, the correct answer is option 'C'.

A 100 mH coil carries a current of 10 A. The magnetic energy stored in the coil is
  • a)
    0.1 J
  • b)
    0.5 J
  • c)
    1 J
  • d)
    5 J
Correct answer is 'D'. Can you explain this answer?

Mansi Nambiar answered
Solution:

Given,
Inductance, L = 100mH = 0.1 H
Current, I = 10A

The magnetic energy stored in an inductor is given as:
W = 1/2 LI^2

Substituting the given values, we get:
W = 1/2 x 0.1 x (10)^2
W = 5J

Therefore, the magnetic energy stored in the coil is 5J, which is option D.

Explanation:

The magnetic energy stored in an inductor is the energy required to establish a magnetic field around it when a current flows through it. This energy is stored in the form of a magnetic field around the inductor and is given by the formula W = 1/2 LI^2.

The inductance of the coil measures the amount of magnetic energy stored in the coil when a current flows through it. The unit of inductance is Henry (H) and is defined as the amount of inductance when a current of 1 ampere flows through a coil and produces a magnetic flux of 1 weber.

The current flowing through the coil also determines the magnetic energy stored in it. The higher the current, the higher the magnetic energy stored in the coil.

In this problem, the inductance of the coil is given as 100mH or 0.1H and the current flowing through it is 10A. Using the formula W = 1/2 LI^2, we can calculate the magnetic energy stored in the coil, which is 5J.

Which of the following words would correctly decode the word ZHOFRPH if the simple alphabet shifting code is used ?
  • a)
    ARTISTS
  • b)
    COMPUTE
  • c)
    MAILING
  • d)
    WELCOME
Correct answer is option 'D'. Can you explain this answer?

Kunal Datta answered
Explanation:

The simple alphabet shifting code is a type of code in which each letter of the alphabet is shifted a certain number of places to the right or left to create a new code. For example, if the code is a shift of 3 places to the right, A becomes D, B becomes E, C becomes F, and so on.

To decode the word ZHOFRPH using this code, we need to know the number of places that each letter of the alphabet has been shifted. This information is not given in the question, so we need to use trial and error to determine the correct shift.

We can start by looking at the first letter of the code, Z. If we shift it to the left by 1 place, we get Y. If we shift it to the left by 2 places, we get X. If we keep shifting it to the left, we eventually get S. This suggests that the shift is 3 places to the left, or 23 places to the right.

Using this shift, we can decode the rest of the letters in the word as follows:

- Z -> W
- H -> E
- O -> L
- F -> I
- R -> O
- P -> M
- H -> E

Putting these letters together, we get the word WELCOME.

Therefore, option D is the correct answer.

For a reaction A + B → C + D, if concentration of A is doubled without altering the concentration of B, the rate gets doubled. If the concentration of B is increased by nine times without altering the concentration of A, the rate gets tripled. The order of reacton is
  • a)
    2
  • b)
    1
  • c)
    3/2
  • d)
    4/3
Correct answer is option 'C'. Can you explain this answer?

Hansa Sharma answered
r = k [A]α [B]β .... (i)
2r = k [2.A]α [B]β . . . (ii)
3r = k [A]α [9B]β . . . (iii) 
Dividing eqn. (ii) by eqn. (i), we get 2 = 2α or α = 1
Dividing eqn. (iii) by eqn. (i), we get
3 = 9β or 3 = 3 or 2β = 1 or β = 1/2. 
∴ order og reaction

Universal time is based on
  • a)
    Rotation of the earth on its axis
  • b)
    Earth's orbital motion around the earth
  • c)
    Vibrations of cesium atom
  • d)
    Oscillations of quartz crystal
Correct answer is option 'C'. Can you explain this answer?

Universal Time Based on Vibrations of Cesium Atom

Introduction:
Universal time is a standard time scale used for civil timekeeping around the world. It is based on the vibrations of cesium atoms, which are extremely regular and predictable.

Cesium Atom:
Cesium is a chemical element with the symbol Cs and atomic number 55. It is one of the most electropositive and alkaline elements, and thus highly reactive. Cesium atoms have a unique property where they oscillate at a very precise frequency when exposed to microwaves. This frequency is used to determine the length of a second, which is the basis for universal time.

Vibrations of Cesium Atom:
The vibrations of cesium atoms are measured using atomic clocks, which are designed to keep extremely accurate time. These clocks use lasers to measure the oscillations of cesium atoms and compare them to the length of a second. The length of a second is defined as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium-133 atom.

Advantages of Using Cesium Atom for Universal Time:
There are several advantages to using cesium atoms for universal time. Firstly, cesium atoms are extremely stable and consistent, which makes them ideal for timekeeping. Secondly, the frequency of cesium atoms is extremely high, which means that atomic clocks can measure time with incredible accuracy. Finally, cesium atoms are readily available and relatively inexpensive, which makes them a practical choice for universal timekeeping.

Conclusion:
In conclusion, universal time is based on the vibrations of cesium atoms, which are extremely regular and predictable. Atomic clocks use lasers to measure these vibrations and determine the length of a second, which is the basis for universal time. The use of cesium atoms for universal timekeeping has many advantages, including stability, accuracy, and cost-effectiveness.

Haemoglobin contains 0.334% of iron by weight. If molecular weight of haemoglobin is approximately 67200, then the number of iron atoms (At.wt. of Fe is 56) present in one molecule of haemoglobin are
  • a)
    1
  • b)
    2
  • c)
    4
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?

Vivek Patel answered
Percentage of Fe = 0.33% molecular weight of haemoglobin
Therefore,
Weight of Fe present = x 67200 = 221.76
Atomic mass of Fe = 56
Number of approximate atoms present = = 3.96 ∼ 4
Hence, there are 4 Fe atoms in one haemoglobin molecule

Can you explain the answer of this question below:
The working of a dynamo is based on principle of
  • A:
    Conversion of energy into electricity
  • B:
    Magnetic effects of current
  • C:
    Electromagnetic induction
  • D:
    Heat effects of current

The answer is c.

Jyoti Kapoor answered
The dynamo operates on the principle of the production of dynamically induced emf. Hence when ever flux is cut by the conductor, emf is poduced in it according to the law of electromagnetic induction.

Deltoid ridge of humerus in meant for
  • a)
    Articulation
  • b)
    Attachment of muscles
  • c)
    Protection
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Sapna Patel answered
In  human anatomy, the deltoid tuberosity is a rough, triangular area on the anterolateral (front-side) surface of the middle of the humerus to which the deltoid region is present.

A woman who exhibits male secondary sexual characteristics may have a tumor in her
  • a)
    Ovary
  • b)
    Pancreas
  • c)
    Thrroid gland
  • d)
    Adrenal gland
Correct answer is option 'D'. Can you explain this answer?

Kritika Singh answered
Adrenal glands secrete male androgen too and a tumor in it may cause male characters in female.. In adrenal gland zona reticularis secrete sex corticoids..

Back cross involves :
  • a)
    crossing between two F₁ hybrids
  • b)
    crossing between two hybrids in F₂
  • c)
    crossing the F₁ hybrid to either of the parents
  • d)
    crossing between the two parents
Correct answer is option 'C'. Can you explain this answer?

Tarun Majumdar answered
Explanation:
Backcross involves crossing the F1 hybrid to either of the parents. It is a type of breeding technique used to transfer a desired trait from one parent to an offspring. The desired trait can be present in one of the parents which is used for backcrossing. This technique is widely used in plant and animal breeding to produce offspring with desirable traits.

Steps involved in backcrossing:

1. Select the parent with the desired trait: The first step in backcrossing is to select the parent with the desired trait. This parent is used as one of the parents in the cross.

2. Cross the F1 hybrid with the selected parent: The F1 hybrid is then crossed with the selected parent to produce the first generation of offspring.

3. Select the offspring with the desired trait: The offspring from the first generation are then screened for the desired trait. The ones with the desired trait are selected for the next round of backcrossing.

4. Repeat the process: The selected offspring are then crossed with the same parent to produce the next generation of offspring. This process is repeated until the offspring have the desired trait and are genetically similar to the parent with the trait.

Applications of backcrossing:

Backcrossing is widely used in plant and animal breeding to produce offspring with desirable traits. Some of the applications of backcrossing are:

1. To introduce disease resistance in plants
2. To introduce desirable traits in domestic animals
3. To improve crop yield
4. To improve the quality of fruits and vegetables.

Conclusion:

Backcrossing is a breeding technique used to transfer a desired trait from one parent to an offspring. It involves crossing the F1 hybrid with either of the parents. This technique is widely used in plant and animal breeding to produce offspring with desirable traits.

In the following question, a statement of Assertion(A) is given followed by a corresponding statement of Reason(R).
Read the statements carefully, and mark the correct answer.
Assertion(A): In the descending limb of loop of Henle, the urnie is hypertonic, while in ascending limb of loops of Henle, the urine is hypotonic.
Reason(R): Descending limb is impermeable to Na+, while ascending limb is impermeable to H2O.
  • a)
    Both assertion and reason are true and reason is the correct explanation of assertion.
  • b)
    Both assertion and reason are true but reason is not the correct explanation of assertion.
  • c)
    Assertion is true but reason is false.
  • d)
    Both assertion and reason are false.
Correct answer is option 'A'. Can you explain this answer?

Ashutosh Rane answered
The loop of Henle, also called the nephron loop, is a U-shaped tube that extends from the proximal tubule. It consists of a descending limb and ascending limb.The descending limb is permeable to water and noticeably less impermeable to salt, and thus only indirectly contributes to the concentration of the interstitium. As the filtrate descends deeper into the hypertonic interstitium of the renal medulla, water flows freely out of the descending limb by osmosis until the tonicity of the filtrate and interstitium equilibrate. Longer descending limbs allow more time for water to flow out of the filtrate, so longer limbs make the filtrate more hypertonic than shorter limbs.Unlike the descending limb, the ascending limb of Henle's loop is impermeable to water, a critical feature of the countercurrent exchange mechanism employed by the loop. The ascending limb actively pumps sodium out of the filtrate, generating the hypertonic interstitium that drives countercurrent exchange. In passing through the ascending limb, the filtrate grows hypotonic since it has lost much of its sodium content. This hypotonic filtrate is passed to the distal convoluted tubule in the renal cortex.

In the following question, a statement of Assertion(A) is given followed by a corresponding statement of Reason(R). Read the statements carefully, and mark the correct answer.
Assertion(A): A single strand of m-RNA is capable of forming a number of different polypeptide chains.
Reason(R): Termination codons occur in m-RNA.
  • a)
    Both assertion and reason are true and reason is the correct explanation of assertion.
  • b)
    Both assertion and reason are true but reason is not the correct explanation of assertion.
  • c)
    Assertion is true but reason is false.
  • d)
    Both assertion and reason are false.
Correct answer is option 'B'. Can you explain this answer?

Raghav Pillai answered
Messenger RNA (mRNA) is a molecule of RNA encoding a chemical "blueprint" for a protein product. mRNA brings instructions from the DNA for the formation of particular type of polypeptide. The instructions are present in the base sequence of its nucleotides. mRNA has methylated region at the 5'terminus. It functions as a cap for attachment with ribosome. Cap is followed by an initiation codon (AUG) either immediately or after a small noncoding region. An mRNA may specify only a singled monocistronic while the latter is known as polycistronic.
Three of the 64 codons are UAG (amber), UAA (ochre) and UGA (opal or umber), they bring about termination of polypeptide chain synthesis and are called termination codons or stop codons.

The father is five times older than his son. After 4 years, the sum of their ages would be 44 years. Then the son's age at present is
  • a)
    5 years
  • b)
    6 years
  • c)
    7 years
  • d)
    8 years
Correct answer is option 'B'. Can you explain this answer?

Lalit Yadav answered
Suppose the present ages of father and son are 5x, x years respectively
By hypothesis, (5x + 4) + (x + 4) = 44
or 6x + 8 = 44
or 6x = 36
∴ x = 6
Hence present age of son = x = 6 years

Can you explain the answer of this question below:

Plants and living beings are the examples of

  • A:

    open system

  • B:

    closed system

  • C:

    isolated system

  • D:

    adiabatic system

The answer is a.

Swara Dey answered
Open System
An open system is one that can exchange both matter and energy with its surroundings. Plants and living beings are examples of open systems as they take in nutrients and release waste into the environment while also exchanging energy with their surroundings through processes like respiration and photosynthesis.

Closed System
A closed system is one that can exchange energy with its surroundings but not matter. For example, a sealed jar containing air would be a closed system as the air molecules can exchange energy with the jar but cannot escape or be replenished.

Isolated System
An isolated system is one that cannot exchange either matter or energy with its surroundings. An example of an isolated system would be the universe as a whole.

Adiabatic System
An adiabatic system is one that does not exchange heat with its surroundings. This means that any change in its energy must come from within the system itself, rather than being transferred in the form of heat.

In summary, plants and living beings are examples of open systems as they exchange both matter and energy with their surroundings.

If a spring is extended to length l, then according to Hooke's law
  • a)
    F=kl
  • b)
    F=k/l
  • c)
    F=k2l
  • d)
    F=k2/l
Correct answer is option 'A'. Can you explain this answer?

The Correct option is A. Hooke's law states that the force(F) needed to extend or compress a spring by some distance l sacked linearly with respect to that distant. That is F= kl. Here the -ve sign indicates the spring restoring force is opposite to the stretch direction.

Assume that the nucleus of the fluorine atom is a sphere of radius 5 x 10-13 cm. What is the density of matter in the nucleus?
  • a)
    6.02 x 1023 g/mL
  • b)
    6.02 x 1013 g/mL
  • c)
    12.02 x 1023 g/mL
  • d)
    12.02 x 1013 g/mL
Correct answer is option 'B'. Can you explain this answer?

Nitya Menon answered
Density is defined as mass per unit volume. To calculate the density of matter in the nucleus of the fluorine atom, we need to determine the mass and volume of the nucleus.

1. Determining the Volume of the Nucleus:
The given information states that the nucleus of the fluorine atom is a sphere with a radius of 5 x 10^-13 cm. The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius.
Using this formula, we can calculate the volume of the nucleus as follows:
V = (4/3)π(5 x 10^-13)^3
V ≈ 523.6 x 10^-39 cm^3

2. Determining the Mass of the Nucleus:
To find the mass of the nucleus, we need to know the atomic mass of fluorine. The atomic mass of fluorine is approximately 19 atomic mass units (amu). One atomic mass unit is defined as 1/12th the mass of a carbon-12 atom.
The molar mass of fluorine can be calculated by multiplying the atomic mass by Avogadro's number (6.02 x 10^23):
Molar mass of fluorine (F) = 19 amu x (6.02 x 10^23 g/mol)
Molar mass of fluorine (F) ≈ 1.14 x 10^25 g/mol

The mass of one fluorine nucleus can be obtained by dividing the molar mass by Avogadro's number:
Mass of one fluorine nucleus = (1.14 x 10^25 g/mol) / (6.02 x 10^23)
Mass of one fluorine nucleus ≈ 19 x 10^2 g

3. Calculating the Density of Matter in the Nucleus:
Finally, we can calculate the density of matter in the nucleus by dividing the mass of the nucleus by its volume:
Density = Mass / Volume
Density = (19 x 10^2 g) / (523.6 x 10^-39 cm^3)
Density ≈ 3.63 x 10^40 g/cm^3

The answer provided in option B, 6.02 x 10^13 g/mL, is incorrect. The correct answer is 3.63 x 10^40 g/cm^3.

A cube is subjected to a uniform volumatric compression. If side of cube decreases by 1%, then its bulk strain is
  • a)
    0.05
  • b)
    0.03
  • c)
    0.02
  • d)
    0.01
Correct answer is option 'B'. Can you explain this answer?

The answer should be 0.03.as per the question side of cube decreased by 1% or by 0.01.since we know bulk strain=change in volume divided by original volume. as volume of cube =cube of side of square. hence bulk strain=change in volume by original volume = 3*(change in side by original side) =0.03

If intensity of incident light is increased in PEE then which of the following is true
  • a)
    Maximum K.E. of ejected electron will increase
  • b)
    Work function will remain unchanged
  • c)
    Stopping potential will decrease
  • d)
    Maximum K.E. of ejected electron will decrease
Correct answer is option 'B'. Can you explain this answer?

Eram Zia answered
Work function is a the property of metal .it is that amount of energy which is needed to eject an election from this metal surface and it is fixed for every metal . can't be increase or decrease by changing the intensity of light (no of photon)

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