Match List I with List II List I List II A. Torque I. B. Stress II. C, Pressure gradient III. D. Coefficient of viscosity IV. Choose the correct answer from the options given below: [2023]

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Q.
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. $M L^{- 1} T^{- 2}$

Choose the correct answer from the options given below: [2023]

1 A – II, B – I, C – IV, D – III

2 A – II, B – IV, C – I, D – III

3 A – III, B – IV, C – I, D – II

4 A – IV, B – II, C – III, D – I

Ans.
(2)

A. Torque $\Rightarrow \vec{τ} = \vec{r} \times \vec{F}$

$[τ] = [L] [M L T^{- 2}] \Rightarrow M L^{2} T^{- 2}$

B. Stress = $\frac{F}{A} \Rightarrow \frac{M L T^{- 2}}{L^{2}}$

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

C. Pressure gradient = $\frac{△ P}{△ X}$

$\Rightarrow \frac{[F / A]}{[L]} = \frac{M L T^{- 2}}{L^{3}} \Rightarrow M L^{- 2} T^{- 2}$

D. Coefficient of viscosity $\Rightarrow F = 6 π η r v$

$M L T^{- 2} = [η] L^{2} T^{- 1}$

$[η] = M L^{- 1} T^{- 1}$

Solution

Q.
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. $M L^{- 1} T^{- 2}$

Choose the correct answer from the options given below: [2023]

1 A – II, B – I, C – IV, D – III

2 A – II, B – IV, C – I, D – III

3 A – III, B – IV, C – I, D – II

4 A – IV, B – II, C – III, D – I

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	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.	$M L^{- 1} T^{- 2}$

Solution

Q. Match List I with List II List I List II A. Torque I. ML–2T–2 B. Stress II. ML2T–2 C, Pressure gradient III. ML–1T–1 D. Coefficient of viscosity IV. ML–1T–2 Choose the correct answer from the options given below: [2023]

1 A – II, B – I, C – IV, D – III

2 A – II, B – IV, C – I, D – III

3 A – III, B – IV, C – I, D – II

4 A – IV, B – II, C – III, D – I

Ans. (2) A. Torque ⇒τ→=r→×F→ [τ]=[L][MLT–2] ⇒ ML2T–2 B. Stress = FA ⇒ MLT–2L2 [Stress] = ML–1T–2 C. Pressure gradient = △P△X ⇒ [F/A][L]=MLT–2L3 ⇒ ML–2T–2 D. Coefficient of viscosity ⇒ F=6πηrv MLT–2=[η]L2T–1 [η]=ML–1T–1

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Q.
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. $M L^{- 1} T^{- 2}$

Choose the correct answer from the options given below: [2023]