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Q.

An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the electron acquired as a result of photon emission will be:

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a

24hR25m

b

24m25hR

c

25hR24m

d

25m24hR

answer is A.

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Detailed Solution

For fifth energy level, n2=5  and for ground level,  n1=1. The wavelength λ of radiation emitted is given by 
 1λ=Rz2(1n121n22)=R×12(112152)=24R25
Linear momentum of photon emitted 
 p=hλ=h×24R25
As hydrogen atom is stationary, therefore momentum acquired by electron as a result of photon emission =mv=p=24hR25
v=24hR25m

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