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

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Quantrex Academy · Accepted Answer

Correct answer: B. A-III, B-I, C-IV, D-II

As we know, angular momentum is given by, $\overset{\to}{L} = \overset{\to}{r} \times \overset{\to}{p} ⇒ \left[L\right] = \left[{M}^{0}{L}^{1}{T}^{0}\right]\left[{M}^{1}{L}^{1}{T}^{- 1}\right]$

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

Torque is given by,

$\overset{\to}{τ} = \overset{\to}{r} \times \overset{\to}{F} ⇒ \left[τ\right] = \left[{L}^{1}\right]\left[{MLT}^{- 2}\right]$

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

Also, Stress $≡$ Pressure $= \dfrac{F}{A}$

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

Pressure Gradient $= \dfrac{dP}{dx}$

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

Match List I with List II List I List II A Angular momentum I [ ML...

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More from Units and Dimensions

	List I		List II
A	Angular momentum	I	$\left[{ML}^{2}{T}^{- 2}\right]$
B	Torque	II	\left[{ML}^{- 2}{T}^{- 2}\right] $</td> </tr> <tr> <td>C</td> <td>Stress</td> <td>III</td> <td>\left[{ML}^{2}{T}^{- 1}\right]$
D	Pressure gradient	IV	\left[{ML}^{- 1}{T}^{- 2}\right]