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JEE Main 20252 AprilMorning Shift
Exam
JEE Main
Year
2025
Date
2 April
Shift
Morning Shift
Subject
Physics
Chapter
Units and Dimensions

JEE Main 2025 · 2 April · Morning Shift · Physics · Units and Dimensions

Match List-I with List-II. List-I List-II (A) Coefficient of...

Match List-I with List-II.
List-IList-II
(A) Coefficient of viscosity(I) \left[ML^0 T^{-3}\right]
(B) Intensityof wave</td><td>(II)\left[ML^{-2} T^{-2}\right]
(C) Pressure gradient(III) \left[\mathrm{M}^{-1}LT^2\right]</td></tr><tr><td>(D) Compressibility</td><td>(IV) \left[ML^{-1} T^{-1}\right]

Choose the correct answer from the options given below :

Options

  1. A(A)−((\mathrm{A})-(\mathrm{I}),(B)−(IV),(C)−(),(\mathrm{B})-(\mathrm{IV}),(\mathrm{C})-(\mathrm{III}),(D)−(),(\mathrm{D})-(\mathrm{II}))
  2. B(A)-(IV), (B)-(I), (C)-(II), (D)-(III)
  3. C(A)−(IV),(B)−((\mathrm{A})-(\mathrm{IV}),(\mathrm{B})-(\mathrm{II}),(C)−(),(\mathrm{C})-(\mathrm{I}),(D)−(),(\mathrm{D})-(\mathrm{III}))
  4. D(A)-(II), (B)-(III), (C)-(IV), (D)-(I)

Correct answer

B. (A)-(IV), (B)-(I), (C)-(II), (D)-(III)

Step-by-step solution

(A) Coefficient of viscosity
[η]=[M1 L−1 T−1][\eta]=\left[\mathrm{M}^1 \mathrm{~L}^{-1} \mathrm{~T}^{-1}\right]
(B) Intensity [[\mathrm{I}]=[M1 L0 T−3]]=\left[\mathrm{M}^1 \mathrm{~L}^0 \mathrm{~T}^{-3}\right]
(C) Pressure gradient =[ML−2 T−2]=\left[\mathrm{ML}^{-2} \mathrm{~T}^{-2}\right]
(D) Compressibility [\mathrm{K}]=\left[\mathrm{M}^{-1} \mathrm{~L}^1 \mathrm{~T}^2\right]
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