Question

Dimensions of impulse are the same as that of

• A. force
• B. momentum
• C. energy
• D. acceleration

Answer 1

The correct option is B

momentum

The explanation for the correct option(s):

B: momentum.

We know that,

Impulse $=$Force $\times$ Time

$=$Dimensional formula of force $\times$ Dimensional formula of time

$=$$\left[ML{T}^{-2}\right]\times \left[T\right]$

$=$$\left[ML{T}^{-1}\right]$

We also know that $\left[ML{T}^{-1}\right]$ is also a dimension formula for momentum.

The explanation for the incorrect option(s):

A: force

The dimensional formula of force is $\left[ML{T}^{-2}\right]$

C: energy

The dimensional formula of energy is $\left[M{L}^2{T}^{-2}\right]$

D: acceleration

The dimensional formula of energy is $\left[L{T}^{-2}\right]$

Hence, option (B) the correct.