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Question: A stationary hydrogen atom of mass M emits a photon corresponding to the first line of Lyman series....

A stationary hydrogen atom of mass M emits a photon corresponding to the first line of Lyman series. If R is the Rydberg's constant, the velocity that the atom acquires is –

A

34\frac { 3 } { 4 } RhM\frac{Rh}{M}

B

Rh4M\frac{Rh}{4M}

C

Rh2M\frac{Rh}{2M}

D

RhM\frac{Rh}{M}

Answer

\frac { 3 } { 4 }$$\frac{Rh}{M}

Explanation

Solution

MV = hλ\frac{h}{\lambda} = nR [1–14]\left\lbrack 1–\frac{1}{4} \right\rbrack Ž V = 3hR4M\frac{3hR}{4M}