Match List I with List II List I List II A Angular momentum I ML 2 T - 2 B Torque II ML - 2 T - 2 C Stress III ML 2 T - 1 D Pressure gradient IV ML - 1 T - 2 Choose the correct answer from the options given below :

Question

Aicharya · Accepted Answer

As we know, angular momentum is given by, $\vec{L} = \vec{r} \times \vec{p} \Rightarrow [L] = [M^{0} L^{1} T^{0}] [M^{1} L^{1} T^{- 1}]$

$= [M^{1} L^{2} T^{- 1}]$

Torque is given by,

$\vec{τ} = \vec{r} \times \vec{F} \Rightarrow [τ] = [L^{1}] [{MLT}^{- 2}]$

$= [{ML}^{2} T^{- 2}]$

Also, Stress $\equiv$ Pressure $= \frac{F}{A}$

Hence, [Stress] $= [{ML}^{- 1} T^{- 2}]$

Pressure Gradient $= \frac{d P}{d x}$

Therefore, [Pressure Gradient] $= [{ML}^{- 2} T^{- 2}]$

Match List I with List II List I List II A Angular momentum I ML 2 T - 2 B Torque II ML - 2 T - 2 C Stress…

Solution

	List I		List II
A	Angular momentum	I	$[{ML}^{2} T^{- 2}]$
B	Torque	II	$[{ML}^{- 2} T^{- 2}]$
C	Stress	III	$[{ML}^{2} T^{- 1}]$
D	Pressure gradient	IV	$[{ML}^{- 1} T^{- 2}]$