Properties of Solids & Fluids · JEE Main previous year questions

2023 34 questions

1. Q342023 · 29 Jan 2023 · Shift 1

   Surface tension of a soap bubble is $2.0\times 10^{-2}\mathrm{N}{\mathrm{m}}^{-1}$. Work done to increase the radius of soap bubble from $3.5\mathrm{cm}$ to $7\mathrm{cm}$ will be: Take $\left[\pi =\frac{22}{7}\right]$

   1. A.$18.48\times 10^{-4}\mathrm{J}$
   2. B.$5.76\times 10^{-4}\mathrm{J}$
   3. C.$0.72\times 10^{-4}\mathrm{J}$
   4. D.$9.24\times 10^{-4}\mathrm{J}$
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   Answer: A

2. Q452023 · 29 Jan 2023 · Shift 1

   A bicycle tyre is filled with air having pressure of $270\mathrm{kPa}$ at $27^{\circ }\mathrm{C}$. The approximate pressure of the air in the tyre when the temperature increases to $36^{\circ }\mathrm{C}$ is

   1. A.262 kPa
   2. B.360 kPa
   3. C.270 kPa
   4. D.278 kPa
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   Answer: D

3. Q552023 · 29 Jan 2023 · Shift 2· Numerical answer
   
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   Answer: 25

4. Q322023 · 25 Jan 2023 · Shift 1

   Match List I with List II $$\begin{array}{llll}& \text{List I}& & \text{List II}\\ \text{A.}& \text{Surface tension}& \text{I.}& \mathrm{kg}{\mathrm{m}}^{-1}{\mathrm{s}}^{-1}\\ \text{B.}& \text{Pressure}& \text{II.}& \mathrm{kg}\mathrm{m}{\mathrm{s}}^{-1}\\ \text{C.}& \text{Viscosity}& \text{III.}& \mathrm{kg}{\mathrm{m}}^{-1}{\mathrm{s}}^{-2}\\ \text{D.}& \text{Impulse}& \text{IV.}& \mathrm{kg}{\mathrm{s}}^{-2}\end{array}$$ Choose the correct answer from the options given below :

   1. A.A-IV, B-III, C-I, D-II
   2. B.A-IV, B-III, C-II, D-I
   3. C.A-II, B-I, C-III, D-IV
   4. D.A-III, B-IV, C-I, D-II
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   Answer: A

5. Q432023 · 25 Jan 2023 · Shift 2

   Match List I with List II $$\begin{array}{llll}& \text{List I}& & \text{List II}\\ \text{A.}& \text{Young’s Modulus (Y)}& \text{I.}& [\mathrm{M}{\mathrm{L}}^{-1}{\mathrm{T}}^{-1}]\\ \text{B.}& \text{Co-efficient of Viscosity }(\eta )& \text{II.}& [\mathrm{M}{\mathrm{L}}^2{\mathrm{T}}^{-1}]\\ \text{C.}& \text{Planck’s Constant (h)}& \text{III.}& [\mathrm{M}{\mathrm{L}}^{-1}{\mathrm{T}}^{-2}]\\ \text{D.}& \text{Work function }(\phi )& \text{IV.}& [\mathrm{M}{\mathrm{L}}^2{\mathrm{T}}^{-2}]\end{array}$$ Choose the correct answer from the options given below :

   1. A.A-II, B-III, C-IV, D-I
   2. B.A-I, B-II, C-III, D-IV
   3. C.A-I, B-III, C-IV, D-II
   4. D.A-III, B-I, C-II, D-IV
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   Answer: D

6. Q342023 · 24 Jan 2023 · Shift 1

   A $100\mathrm{m}$ long wire having cross-sectional area $6.25\times 10^{-4}{\mathrm{m}}^2$ and Young's modulus is $10^{10}\mathrm{N}{\mathrm{m}}^{-2}$ is subjected to a load of $250\mathrm{N}$, then the elongation in the wire will be :

   1. A.$6.25\times 10^{-6}\mathrm{m}$
   2. B.$4\times 10^{-3}\mathrm{m}$
   3. C.$4\times 10^{-4}\mathrm{m}$
   4. D.$6.25\times 10^{-3}\mathrm{m}$
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   Answer: B

7. Q422023 · 24 Jan 2023 · Shift 2

   Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Steel is used in the construction of buildings and bridges. Reason R : Steel is more elastic and its elastic limit is high. In the light of above statements, choose the most appropriate answer from the options given below

   1. A.Both A and R are correct and R is the correct explanation of A
   2. B.A is correct but R is not correct
   3. C.Both A and R are correct but R is NOT the correct explanation of A
   4. D.A is not correct but R is correct
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   Answer: A

8. Q472023 · 24 Jan 2023 · Shift 2

   The frequency $(\nu )$ of an oscillating liquid drop may depend upon radius $(r)$ of the drop, density $(\rho )$ of liquid and the surface tension (s) of the liquid as $\nu =r^a{\rho }^b{s}^c$. The values of a, b and c respectively are

   1. A.$\left(\frac{3}{2},\frac{1}{2},-\frac{1}{2}\right)$
   2. B.$\left(-\frac{3}{2},-\frac{1}{2},\frac{1}{2}\right)$
   3. C.$\left(\frac{3}{2},-\frac{1}{2},\frac{1}{2}\right)$
   4. D.$\left(-\frac{3}{2},\frac{1}{2},\frac{1}{2}\right)$
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   Answer: B

9. Q582023 · 24 Jan 2023 · Shift 2· Numerical answer

   A Spherical ball of radius 1mm and density 10.5 g/cc is dropped in glycerine of coefficient of viscosity 9.8 poise and density 1.5 g/cc. Viscous force on the ball when it attains constant velocity is $3696\times 10^{-x}\mathrm{N}$. The value of $x$ is _______. (Given, $\mathrm{g}=9.8m/{\mathrm{s}}^2$ and $\pi =\frac{22}{7}$)

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   Answer: 7