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JEE Main202324 Jan 2023Morning ShiftPhysicsUnits and DimensionsActual

Match List I with List II List I List II A . Planck's constant h I . M 1 L 2 T - 2 B . Stopping potential V s II . M 1 L 1 T - 1 C . Work function ϕ III . M 1 L 2 T - 1 D . Momentum p IV . M 1 L 2 T - 3 A - 1

Options

  1. AA - III , B - I , C - II , D - IV
  2. BA - III , B - IV , C - I , D - II
  3. CA - II , B - IV , C - III , D - I
  4. DA - I , B - III , C - IV , D - II

Correct answer

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

Step-by-step solution

The dimension of momentum is, p = M 1 L 1 T - 1 From de Broglie equation, h p = λ [ h ] = [ p ] λ = M L 2 T - 1 The stopping potential is related to maximum kinetic energy of emitted electron as V s = K E m a x e = ML 2 T - 2 AT = ML 2 T - 3 A - 1 From Einstein's photoelectric equation, the work function ϕ has dimensions of energy ϕ = ML 2 T - 2

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