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Match List I with List II.
List-IList-II
(A) Spring constant(I) [T⁻¹]
(B) Angular speed(II) [MT⁻²]
(C) Angular momentum(III) [ML²]
(D) Moment of Inertia(IV) [ML²T⁻¹]

Choose the correct answer from the options given below:

Asked in JEE Main 12th April 1st Shift 2023 · Matching quantities to their dimensions

Answer: (3) (A)-(II), (B)-(I), (C)-(IV), (D)-(III)

Step-by-step solution

A: a spring constant is force per unit length, [MT⁻²], so (II).

B: angular speed is radians per second, [T⁻¹], so (I).

C: angular momentum is [ML²T⁻¹], so (IV).

D: moment of inertia is mr², [ML²], so (III).

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

Why the other options are wrong

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