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AP EAMCET · PHYSICS · Atomic Physics

When a hydrogen atom emits a photon during a transition from n=4 to n=2, its recoil speed is about

  1. A 4.28 m s-1
  2. B 0.814 m s-1
  3. C 2.07 m s-1
  4. D 0.407 m s-1
Verified Solution

Answer & Solution

Correct Answer

(B) 0.814 m s-1

Step-by-step Solution

Detailed explanation

The expression for the momentum of the photon, p=hλ mv=hλ v=hmλ From the formula for the Bohr's for H-atom, 1λ=R1n12-1n22 Substitute the given values in the above equation. 1λ=1.097×107 122-142 ⇒  λ=4.86×10-7 m…
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