Question

Match List I with List II

List I		List II
A.	Angular momentum	I.	ML2T−2
B.	Torque	II.	ML−2T−2
C.	Stress	III.	ML2T−1
D.	Pressure gradient	IV.	ML−1T−2

Choose the correct answer from the options given below.

• A. A - IV, B - II, C - I, D - III
• B. A - II, B - III, C - IV, D - I
• C. A - III, B - I, C - IV, D - II
• D. A - I, B - IV, C - III, D - II

Hint:

For matching dimensional formulas, remember that torque and angular momentum share similar dimensions, and stress and pressure gradient have different dimensional formulas based on their respective definitions.

Answer 1

The Correct Option is C

We match the physical quantities with their dimensions:

• Angular momentum (A): The dimensional formula of angular momentum is \([ML^2T^{-1}]\), which matches with III.
• Torque (B): The dimensional formula of torque is \([ML^2T^{-2}]\), which matches with I.
• Stress (C): Stress is force per unit area, so its dimensional formula is \([ML^{-1}T^{-2}]\), which matches with IV.
• Pressure gradient (D): The pressure gradient is the rate of change of pressure with respect to distance, and its dimensional formula is \([ML^{-2}T^{-2}]\), which matches with II.

Thus, the correct matching is: A-III, B-I, C-IV, D-II