First slide

Bohr's atom model

Question

A stationary hydrogen atom of mas s 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

Moderate

A

$\frac{3}{4} \frac{R h}{M}$
B

$\frac{R h}{4 M}$
C

$\frac{R h}{2 M}$
D

$\frac{R h}{M}$

Solution

From conservation of momentum:
$M V = \frac{h}{λ} = h R (1 - \frac{1}{4}) \Rightarrow V = \frac{3}{4} \frac{h R}{M}$

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