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MHT CET20242 May 2024Evening ShiftPhysicsAtomic PhysicsActual

An electron of stationary Hydrogen atom passes from fifth energy level to ground level. The velocity that the atom acquired as a result of photo emission is ( m = mass of electron, R = Rydberg's constant) ( h = Planck's constant)

Options

  1. A24 Rh 25 ~m
  2. B25 Rh 24 ~m
  3. C25 ~m 24 Rh
  4. D24 ~m 25 Rh

Correct answer

A. 24 Rh 25 ~m

Step-by-step solution

1 = R ( 1 n ₁^2 - 1 n ₂ ^2 ) In this case, n ₁=1 and n ₂=5 1 =R ( 1 1^2 - 1 5^2 )= 24 25 R...(i) Momentum of Photon, p = h = h ( 24 25 R ) ...[From (i)] By conservation of momentum, Momentum of Photon = Momentum of atom aligned & h ( 24 25 R )= mv & v = 24 Rh 25 ~m aligned

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