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The dimensional formula of angular impulse is

Asked in JEE Main 1st Feb 1st Shift 2024 · Dimensional formula of a named quantity

(1) [ML²T⁻¹]
(2) [ML²T⁻²]
(3) [MLT⁻¹]
(4) [ML⁻²T⁻¹]

Answer: (1) [ML²T⁻¹]

Step-by-step solution

Idea: angular impulse is torque times time, and it equals the change in angular momentum.

Torque × time =[ML²T⁻²][T]=[ML²T⁻¹].

Angular momentum =mvr=[M][LT⁻¹][L]=[ML²T⁻¹], the same thing.

Why the other options are wrong

(2) comes from is a torque, which is angular impulse per unit time
(3) comes from is linear impulse, one power of length short
(4) comes from inverts the length exponent

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