Match List I with List II

List I List II

A. Torque I. $M{L}^{- 2}{T}^{- 2}$

B. Stress II. $M{L}^{2}{T}^{- 2}$

C. Pressure gradient III. $M{L}^{- 1}{T}^{- 1}$

D. Coefficient of
viscosity IV. $M{L}^{- 1}{T}^{- 2}$

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Question

Match List I with List II

	List I		List II
A.	Torque	I.	$M{L}^{- 2}{T}^{- 2}$
B.	Stress	II.	$M{L}^{2}{T}^{- 2}$
C.	Pressure gradient	III.	$M{L}^{- 1}{T}^{- 1}$
D.	Coefficient of viscosity	IV.	$M{L}^{- 1}{T}^{- 2}$

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Quantrex Academy · Accepted Answer

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

The dimensions of the quantities are as follows.
$F = ML{T}^{- 2}r = Lv = L{T}^{- 1}A = {L}^{2}$
The dimensional form of stress is same as pressure.
Torque = Force $\times$ distance $= {ML}^{2}{T}^{- 2}$
Stress $= \dfrac{\text{Force}}{\text{Area}} = M{L}^{- 1}{T}^{- 2}$
Pressure Gradient $= \dfrac{dp}{dx} = {ML}^{- 2}{T}^{- 2}$
$η = \dfrac{F}{6\pirv} = \dfrac{ML{T}^{- 2}}{L \cdot {LT}^{- 1}} = {ML}^{- 1}{T}^{- 1}$

Match List I with List II List I List II A. Torque I. M L ^ - 2 T ^...

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