Question

Match List-I with List-II.

Choose the correct answer from the options given below :

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

Hint:

To find the dimensional formula of a physical quantity, express it in terms of fundamental quantities like mass (M), length (L), and time (T). Remember the definitions and basic formulas of the given quantities.

Answer 1

The Correct Option is C

Match the physical quantities in List-I with their corresponding dimensions in List-II.

1. Mass density: Mass per unit volume. Dimension: \( [ML^{-3}T^0] \).
2. Impulse: Change in momentum. Dimension: \( [MLT^{-1}] \).
3. Power: Work done per unit time. Dimension: \( [ML^2T^{-3}] \).
4. Moment of inertia: Represented as \( I = mr^2 \). Dimension: \( [ML^2] \).

The matches are:

• (A) Mass density - (IV) \( [ML^{-3}T^0] \)
• (B) Impulse - (II) \( [MLT^{-1}] \)
• (C) Power - (I) \( [ML^2T^{-3}] \)
• (D) Moment of inertia - (III) \( [ML^2] \)

The correct answer is (A)-(IV), (B)-(II), (C)-(I), (D)-(III).