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Question: When the hydrogen atom emits a photon in going from n = 5 to n= 1 state, its recoil speed is nearly ...

When the hydrogen atom emits a photon in going from n = 5 to n= 1 state, its recoil speed is nearly –

A

10–4 m/s

B

2 × 10–2 m/s

C

4 m/s

D

8 × 102 m/s

Answer

4 m/s

Explanation

Solution

P = Ec\frac{E}{c} = mv

P = 13eVc\frac{13eV}{c} = mv

13×1.6×10193×108×1.6×1027\frac{13 \times 1.6 \times 10^{–19}}{3 \times 10^{8} \times 1.6 \times 10^{–27}} = v