Match List I with List II. List I List II A. Angular momentum I. [] B. Torque II. [] C. Stress III. [] D. Pressure gradient 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. Angular momentum I. [ $M L^{2} T^{- 2}$ ]

B. Torque II. [ $M L^{- 2} T^{- 2}$ ]

C. Stress III. [ $M L^{2} T^{- 1}$ ]

D. Pressure gradient IV. [ $M L^{- 1} T^{- 2}$ ]

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

1 A – I, B – IV, C – III, D – II

2 A – III, B – I, C – IV, D – II

3 A – II, B – III, C – IV, D – I

4 A – IV, B – II, C – I, D – III

Ans.
(2)

$\bar{L} = \vec{r} \times \vec{p} \Rightarrow [L] = [M^{0} L^{1} T^{0}] [M^{1} L^{1} T^{- 1}] = [M^{1} L^{2} T^{- 1}]$

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

Stress $\equiv$ Pressure = $\frac{F}{A} \Rightarrow [Stress] = [M L^{- 1} T^{- 2}]$

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

$\Rightarrow$ [Pressure Gradient] = $[M L^{- 1} T^{- 2}]$

Solution

Q.
Match List I with List II.

List I List II

A. Angular momentum I. [ $M L^{2} T^{- 2}$ ]

B. Torque II. [ $M L^{- 2} T^{- 2}$ ]

C. Stress III. [ $M L^{2} T^{- 1}$ ]

D. Pressure gradient IV. [ $M L^{- 1} T^{- 2}$ ]

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

1 A – I, B – IV, C – III, D – II

2 A – III, B – I, C – IV, D – II

3 A – II, B – III, C – IV, D – I

4 A – IV, B – II, C – I, D – III

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

Solution

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

1 A – I, B – IV, C – III, D – II

2 A – III, B – I, C – IV, D – II

3 A – II, B – III, C – IV, D – I

4 A – IV, B – II, C – I, D – III

Ans. (2) L¯=r→×p→ ⇒ [L]=[M0L1T0][M1L1T–1]=[M1L2T–1] τ¯=r→×F→ ⇒ [τ]=[L1][MLT–2]=[ML2T–2] Stress ≡ Pressure = FA ⇒ [Stress]=[ML–1T–2] Pressure Gradient = dPdx ⇒ [Pressure Gradient] = [ML–1T–2]

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Q.
Match List I with List II.

List I List II

A. Angular momentum I. [ $M L^{2} T^{- 2}$ ]

B. Torque II. [ $M L^{- 2} T^{- 2}$ ]

C. Stress III. [ $M L^{2} T^{- 1}$ ]

D. Pressure gradient IV. [ $M L^{- 1} T^{- 2}$ ]

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