Question

The dimensional formula for impulse is same as the dimensional formula for

• A. Rate of change of momentum
• B. Torque
• C. Force
• D. Momentum

Answer 1

The correct option is D Momentum

As we know,

Momentum, $\left(p\right)=\text{mass}\times \text{velocity}=m.v$
Dimension of $\left[p\right]=\left[ML{T}^{-1}\right]\dots \left(i\right)$
Impulse, $J=\text{Force}\times \text{time}=F.\Delta t$
Dimension of $\left[J\right]=\left[ML{T}^{-1}\right]\dots \left(ii\right)$

Equation $\left(i\right)$ & $\left(ii\right)$, shows momentum and impulse has same dimensions.