JEE Main 2026 — Apr 4, Shift 2 — Physics solution

JEE Main2026Apr 4, Shift 2Physics

Match the LIST-I with LIST-II

List-I		List-II
A.	Planck's constant	I.	$M L^{2} T^{- 2}$
B.	Stopping potential	II.	$T^{- 1}$
C.	Work function	III.	$M L^{2} T^{- 1}$
D.	Threshold frequency	IV.	$M L^{2} T^{- 3} A^{- 1}$

Choose the correct answer from the options given below :

A
A-III, B-IV, C-I, D-II
B
A-I, B-II, C-III, D-IV
C
A-IV, B-III, C-I, D-II
D
A-I, B-IV, C-III, D-II

Solution

Find each dimension from its defining relation.

Planck's constant: from $E = h ν$ , $[h] = \frac{[ E ]}{[ ν ]} = \frac{M L ^{2} T ^{- 2}}{T ^{- 1}} = M L^{2} T^{- 1}$ $\Rightarrow$ (III).

Stopping potential: $E = q V_{0} \Rightarrow [V_{0}] = \frac{[ E ]}{[ q ]} = \frac{M L ^{2} T ^{- 2}}{A T} = M L^{2} T^{- 3} A^{- 1}$ $\Rightarrow$ (IV).

Work function: an energy, so $[ϕ] = M L^{2} T^{- 2}$ $\Rightarrow$ (I).

Threshold frequency: a frequency, $[ν_{0}] = T^{- 1}$ $\Rightarrow$ (II).

$∴$ A-III, B-IV, C-I, D-II.

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