Question

Match the following physical quantities with their respective dimensional formula:

(a) Angular Momentum	(e) $\left[{ML}^2{T}^{-3}\right]$
(b) Impulse	(f) $\left[{ML}^2{T}^{-1}\right]$
(c) Pressure	(g) $\left[ML{T}^{-1}\right]$
(d) Power	(h) $\left[{ML}^{-1}{T}^{-2}\right]$

• A. a-f, b-g, c-h, d-e
• B. a-f, b-g, c-e, d-h
• C. a-g, b-h, c-f, d-e
• D. a-g, b-h, c-e, d-f

Answer 1

The correct option is A a-f, b-g, c-h, d-e

Angular momentum has formula $J=mvr$. Hence its dimensions are $\left[J\right]=\left[M{L}^2{T}^{-1}\right]$

Impulse has a formula $I=Ft$. Hence its dimensions are $\left[I\right]=\left[ML{T}^{-1}\right]$

Pressure has a formula $P=\frac{F}{A}$. Hence its dimensions are $\left[P\right]=\left[M{L}^{-1}{T}^{-2}\right]$

Power has a formula $W=Fv$. Hence its dimensions are $\left[W\right]=\left[M{L}^2{T}^{-3}\right]$