Match List I with List II: List I List II A. Pressure gradient I. [] B. Energy density II. [] C. Electric field III. [] D. Latent heat 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. Pressure gradient I. [ $M^{0} L^{2} T^{- 2}$ ]

B. Energy density II. [ $M^{1} L^{- 1} T^{- 2}$ ]

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

D. Latent heat IV. [ $M^{1} L^{1} T^{- 3} A^{- 1}$ ]

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

1 A – III, B – II, C – I, D – IV

2 A – II, B – III, C – IV, D – I

3 A – III, B – II, C – IV, D – I

4 A – II, B – III, C – I, D – IV

Ans.
(3)

Pressure gradient = $\frac{d p}{d x} = \frac{[M L^{- 1} T^{- 2}]}{[L]} = [M^{1} L^{- 2} T^{- 2}]$

Energy density = $\frac{energy}{volume} = \frac{[M L^{2} T^{- 2}]}{[L^{3}]} = [M^{1} L^{- 1} T^{- 2}]$

Electric field = $\frac{Force}{charge} = \frac{[M L T^{- 2}]}{[A \cdot T]} = [M^{1} L^{1} T^{- 3} A^{- 1}]$

Latent heat = $\frac{heat}{mass} = \frac{[M L^{2} T^{- 2}]}{[M]} = [M^{0} L^{2} T^{- 2}]$

Solution

1 A – III, B – II, C – I, D – IV

2 A – II, B – III, C – IV, D – I

3 A – III, B – II, C – IV, D – I

4 A – II, B – III, C – I, D – IV

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	List I		List II
A.	Pressure gradient	I.	[ $M^{0} L^{2} T^{- 2}$ ]
B.	Energy density	II.	[ $M^{1} L^{- 1} T^{- 2}$ ]
C.	Electric field	III.	[ $M^{1} L^{- 2} T^{- 2}$ ]
D.	Latent heat	IV.	[ $M^{1} L^{1} T^{- 3} A^{- 1}$ ]

Solution

Q. Match List I with List II: List I List II A. Pressure gradient I. [M0L2T–2] B. Energy density II. [M1L–1T–2] C. Electric field III. [M1L–2T–2] D. Latent heat IV. [M1L1T–3A–1] Choose the correct answer from the options given below: [2023]

1 A – III, B – II, C – I, D – IV

2 A – II, B – III, C – IV, D – I

3 A – III, B – II, C – IV, D – I

4 A – II, B – III, C – I, D – IV

Ans. (3) Pressure gradient = dpdx=[ML–1T–2][L]=[M1L–2T–2] Energy density = energyvolume=[ML2T–2][L3]=[M1L–1T–2] Electric field = Forcecharge=[MLT–2][A·T]=[M1L1T–3A–1] Latent heat = heatmass=[ML2T–2][M]=[M0L2T–2]

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