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Question 1

Match List I with List II.

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Planck’s constant h 

$$E=h\nu$$

$$[h]=\frac{[E]}{[\nu]}=\frac{ML^2T^{-2}}{T^{-1}}=[ML^2T^{-1}]$$

So, (A) matches with (III)

Stopping potential Vs:

Potential difference has dimensions:

$$[V]=\frac{\text{work}}{\text{charge}}=\frac{ML^2T^{-2}}{AT}=[ML^2T^{-3}A^{-1}]$$

So, (B) matches with (IV)

Work function $$\phi$$:

Work function is energy:

$$[\phi]=[ML^2T^{-2}]$$

So, (C) matches with (I)

Momentum p:

$$p=mv$$

$$[p]=M\cdot LT^{-1}=[MLT^{-1}]$$

So, (D) matches with (II)

Final matching:

(A)−(III), (B)−(IV), (C)−(I), (D)−(II)

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