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Q.

A stationary hydrogen atom emits photon corresponding to the first line of Lyman  series. If R is the Rydberg's constant and M is the mass of the atom, then the velocity acquired by the atom is

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a

3Rh4M

b

4M3Rh

c

Rh4M

d

4MRh

answer is A.

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Detailed Solution

according to Bohr's hypothesis 1λ=R(112-122) = 3R4   hence λ=43R=hpp=3Rh4=Mv   momentum of the atom has same magnitude that of photonv=3Rh4M
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