Properties of Solids & Fluids · JEE Main previous year questions

2024 32 questions

1. Q422024 · 29 Jan 2024 · Shift 1

   Given below are two statements: Statement I : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in hot water. Statement II : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in cold water. In the light of the above statements, choose the most appropriate from the options given below

   1. A.Both Statement I and Statement II are false
   2. B.Both Statement I and Statement II are true
   3. C.Statement I is true but Statement II is false
   4. D.Statement I is false but Statement II is true
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   Answer: C

2. Q452024 · 29 Jan 2024 · Shift 1

   Two vessels $A$ and $B$ are of the same size and are at same temperature. A contains $1\text{ g}$ of hydrogen and $B$ contains $1\text{ g}$ of oxygen. ${\text{P}}_{\text{A}}$ and ${\text{P}}_{\text{B}}$ are the pressures of the gases in A and B respectively, then $\frac{{\text{P}}_{\text{A}}}{{\text{P}}_{\text{B}}}$ is:

   1. A.$4$
   2. B.$32$
   3. C.$8$
   4. D.$16$
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   Answer: D

3. Q312024 · 29 Jan 2024 · Shift 2

   A small liquid drop of radius $R$ is divided into 27 identical liquid drops. If the surface tension is $T$, then the work done in the process will be:

   1. A.$4\pi R^2\text{ T}$
   2. B.$8\pi R^2\text{ T}$
   3. C.$\frac{1}{8}\pi R^{2}T$
   4. D.$3\pi R^2\text{ T}$
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   Answer: B

4. Q392024 · 29 Jan 2024 · Shift 2

   A wire of length $L$ and radius $r$ is clamped at one end. If its other end is pulled by a force $F$, its length increases by $l$. If the radius of the wire and the applied force both are reduced to half of their original values keeping original length constant, the increase in length will become:

   1. A.2 times
   2. B.4 times
   3. C.3 times
   4. D.$\frac{3}{2}$ times
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   Answer: A

5. Q322024 · 27 Jan 2024 · Shift 1

   Given below are two statements : Statement (I) :Viscosity of gases is greater than that of liquids. Statement (II) : Surface tension of a liquid decreases due to the presence of insoluble impurities. In the light of the above statements, choose the most appropriate answer from the options given below :

   1. A.Statement I is correct but statement II is incorrect
   2. B.Statement I is incorrect but Statement II is correct
   3. C.Both Statement I and Statement II are incorrect
   4. D.Both Statement I and Statement II are correct
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   Answer: B

6. Q602024 · 27 Jan 2024 · Shift 1· Numerical answer

   If average depth of an ocean is $4000\text{ m}$ and the bulk modulus of water is $2\times 10^9{\text{ Nm}}^{-2}$, then fractional compression $\frac{\Delta V}{V}$ of water at the bottom of ocean is $\alpha \times 10^{-2}$. The value of $\alpha$ is _______ (Given, $g=10{\text{ ms}}^{-2},\rho =1000{\text{ kg m}}^{-3}$)

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   Answer: 2

7. Q592024 · 27 Jan 2024 · Shift 2· Numerical answer

   The reading of pressure metre attached with a closed pipe is $4.5\times 10^4{\text{ N/m}}^2$. On opening the valve, water starts flowing and the reading of pressure metre falls to $2.0\times 10^4{\text{ N/m}}^2$. The velocity of water is found to be $\sqrt{V}\text{ m/s}$. The value of $V$ is _______.

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   Answer: 50