First slide

Bohr Model of the Hydrogen atom.

Question

When the electron jumps from a level n = 4 to n = 1 the momentum of recoiled hydrogen atom will be

Easy

A

$6 .5 \times 10^{- 27} {kgms}^{- 1}$
B

$12 .75 \times 10^{- 19} {kgms}^{- 1}$
C

$13 .6 \times 10^{- 19} {kgms}^{- 1}$
D

Zero

Solution

$13 .6 (\frac{1}{1^{2}} - \frac{1}{4^{2}}) = hv$
Momentum of photon = $\frac{hν}{c}$ = momentum of atom.
$\frac{13 .6 \times 1 .6 \times 10^{- 19} (\frac{8}{9})}{3 \times 10^{8}} = p = 6 .5 \times 10^{- 27} {kgms}^{- 1}$

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