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Q72 (NDA-II/2014) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts Answer Verified

The dimension of ‘impulse* is the same as that of

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Your answer:  ·  Correct: D
Explanation

Impulse is defined as the product of force and the duration of time over which it acts (I = FΔt). According to the Impulse-Momentum Theorem, the impulse acting on an object is equal to its change in linear momentum (Δp). Dimensionally, impulse is the product of force ([MLT⁲]) and time ([T]), resulting in [MLTⁱ]. Linear momentum is defined as the product of mass ([M]) and velocity ([LTⁱ]), which also yields the dimensions [MLTⁱ]. Consequently, impulse and linear momentum share the same SI units, typically expressed as N·s or kg·m/s. In contrast, pressure has dimensions of [MLⁱT⁲], work has [ML²T⁲], and angular momentum has [ML²Tⁱ]. Therefore, impulse is dimensionally equivalent only to linear momentum.

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