Match List I with List II : List I (Physical Quantity) List II (D… - Vidyadip

MCQ

Match List $I$ with List $II$ :

List $I$ (Physical Quantity)	List $II$ (Dimensional Formula)
$(A)$ Pressure gradient	$(I)$ $\left[ M ^0 L ^2 T ^{-2}\right]$
$(B)$ Energy density	$(II)$ $\left[ M ^1 L ^{-1} T ^{-2}\right]$
$(C)$ Electric Field	$(III)$ $\left[ M ^1 L ^{-2} T ^{-2}\right]$
$(D)$ Latent heat	$(IV)$ $\left[ M ^1 L ^1 T ^{-3} A ^{-1}\right]$

Choose the correct answer from the options given below:

A
$(A)-(III), (B)-(II), (C)-(I), (D)-(IV)$
B
$(A)-(II), (B)-(III), (C)-(IV), (D)-(I)$
✓
$(A)-(III), (B)-(II), (C)-(IV), (D)-(I)$
D
$(A)-(II), (B)-(III), (C)-(I), (D)-(IV)$

✓

Answer

Correct option: C.

$(A)-(III), (B)-(II), (C)-(IV), (D)-(I)$

c
Pressure gradient$=\frac{ dp }{ dx }=\frac{\left[ ML ^{-1} T ^{-2}\right]}{[ L ]}$

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

Energy density $=\frac{\text { energy }}{\text { volume }}=\frac{\left[ ML ^2 T ^{-2}\right]}{\left[ L ^3\right]}$

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

$\text { Electric field }=\frac{\text { Force }}{\text { ch arge }}=\frac{\left\lfloor MLT ^{-2}\right\rfloor}{[ A . T ]}$

$=\left[ M ^1 L ^1 T ^{-3} A ^{-1}\right]$

$\text { Latent heat }=\frac{\text { heat }}{\text { mass }}=\frac{\left[ ML ^2 T ^{-2}\right]}{[ M ]}$

$=\left[ M ^0 L ^2 T ^{-2}\right]$

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