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Match List I with List II List-I A. Spring constant B. Angular speed C. Angular momentum D. Moment of Inertia List-II I. [T^-1] II. [MT^-2] III. [ML^2] IV. [ML^2T^-1] Choose the correct answer from the options given below:
- A-I, B-III, C-II, D-IV
- A-IV, B-I, C-III, D-II
- A-II, B-I, C-IV, D-III
- A-II, B-III, C-I, D-IV
Correct answer: A-II, B-I, C-IV, D-III
Solution
The correct matches reflect the dimensional analysis of each physical quantity: the spring constant (A) has dimensions of force per unit displacement, which is [MT^-2]; angular speed (B) is the rate of rotation, measured in radians per second, giving it dimensions of [T^-1]; angular momentum (C) is the product of moment of inertia and angular velocity, resulting in dimensions of [ML^2T^-1]; and moment of inertia (D) is mass times the square of distance, leading to dimensions of [ML^2].
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