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The dimensions of impulse are equal to that of

Asked in CBSE AIPMT 1996 · Pairs with the same dimensions

(1) pressure
(2) linear momentum
(3) force
(4) angular momentum

Answer: (2) linear momentum

Step-by-step solution

Idea: the impulse-momentum theorem says the two are the same thing measured two ways.

J=F Δ t=[MLT⁻²][T]=[MLT⁻¹]

p=mv=[M][LT⁻¹]=[MLT⁻¹]

Impulse equals the change in linear momentum, so their dimensions agree.

Why the other options are wrong

(1) comes from pressure is [ML⁻¹T⁻²], a force per unit area rather than a force times a time
(3) comes from force is [MLT⁻²]; impulse is that force acting for a time, so it has one power of time more
(4) comes from angular momentum is [ML²T⁻¹], a length larger

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