Question

Which pair has the same dimensions?

• A. Density and relative density
• B. Work and power
• C. Momentum and impulse
• D. Stress and strain

Answer 1

The correct option is C Momentum and impulse

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.