Units And Dimensions Question 1

Question 1 - 2024 (01 Feb Shift 1)

The dimensional formula of angular impulse is :

(1) $\left[\mathrm{ML}^{-2} \mathrm{~T}^{-1}\right]$

(2) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-2}\right]$

(3) $\left[\mathrm{MLT}^{-1}\right]$

(4) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-1}\right]$

Show Answer

Answer: (4)

Solution:

Angular impulse $=$ change in angular momentum.

[ Angular impulse $]=[$ Angular momentum $]=[\mathrm{mvr}]$

$=\left[\mathrm{ML}^{2} \mathrm{~T}^{-1}\right]$