Easy MCQ +4 / -1 PYQ · JEE Mains 2023

Match List I with List II

List I List II
A. Surface tension I. $\mathrm{kg~m^{-1}~s^{-1}}$
B. Pressure II. $\mathrm{kg~ms^{-1}}$
C. Viscosity III. $\mathrm{kg~m^{-1}~s^{-2}}$
D. Impulse IV. $\mathrm{kg~s^{-2}}$

Choose the correct answer from the options given below :

  1. A A-IV, B-III, C-I, D-II Correct answer
  2. B A-IV, B-III, C-II, D-I
  3. C A-I, B-I, C-III, D-IV
  4. D A-III, B-IV, C-I, D-II

Solution

$$ \begin{aligned} \text { (A) } \text { Surface Tension }=\frac{\mathrm{F}}{\ell} & =\frac{\mathrm{MLT}^{-2}}{\mathrm{~L}}=\mathrm{ML}^{0} \mathrm{~T}^{-2} \\\\ & =\mathrm{kg\,s}^{-2}(\mathrm{IV}) \end{aligned} $$<br/><br/> $$ \begin{aligned} & \text { (B) Pressure }=\frac{F}{\mathrm{~A}}=\frac{\mathrm{MLT}^{-2}}{\mathrm{~L}^2} \\\\ & =\mathrm{kg} \,\mathrm{m}^{-1} \mathrm{~s}^{-2}(\mathrm{III}) \end{aligned} $$<br/><br/> $\begin{aligned} \text { (C) Viscosity } & =\frac{\mathrm{F}}{\mathrm{A}\left(\frac{\mathrm{dV}}{\mathrm{dz}}\right)}=\frac{\mathrm{MLT}^{-2}}{\mathrm{~L}^2\left(\frac{\mathrm{LT}^{-1}}{\mathrm{~L}}\right)} \\\\ & =\mathrm{ML}^{-1} \mathrm{~T}^{-1}=\mathrm{kg} \,\mathrm{m}^{-1} \mathrm{~s}^{-1}(\mathrm{I})\end{aligned}$ <br/><br/>$$ \begin{aligned} \text { (D) } \text { Impulse } & =\int F d t=\mathrm{MLT}^{-2} \times \mathrm{T} \\\\ & =\mathrm{MLT}^{-1}=\mathrm{kg\,ms}^{-1} \text { (II) } \end{aligned} $$

About this question

Subject: Physics · Chapter: Properties of Solids and Liquids · Topic: Elasticity

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