Match List I with List II List I List II A . Planck's constant h I . M 1   L 2   T - 2 B .…

Match List I with List II

List I List II
A. Planck's constant h I. M1 L2 T-2
B. Stopping potential Vs II. M1 L1 T-1
C. Work function ϕ III. M1 L2 T-1
D. Momentum p IV. M1 L2 T-3 A-1

 

  1. A-III,B-I,C-II,D-IV
  2. A-III,B-IV,C-I,D-II
  3. A-II,B-IV,C-III,D-I
  4. A-I,B-III,C-IV,D-II

Solution

The dimension of momentum is,

p=M1L1T-1

From de Broglie equation,

hp=λ

[h]=[p]λ=ML2T-1

The stopping potential is related to maximum kinetic energy of emitted electron as

Vs=KEmaxe

=ML2T-2AT=ML2T-3A-1

From Einstein's photoelectric equation, the work function ϕ has dimensions of energy 

ϕ=ML2T-2

Asked in: JEE Main 2023 (24 Jan Shift 1)

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