Monochromatic radiation of wavelength is incident on a hydrogen s… - Vidyadip

MCQ

Monochromatic radiation of wavelength $\lambda$ is incident on a hydrogen sample containing in ground state. Hydrogen atoms absorb the light and subsequently emit radiations of ten different wavelengths. The value of $\lambda$ is.....$nm$

✓
$95 $
B
$103$
C
$73$
D
$88$

✓

Answer

Correct option: A.

$95 $

a
$\frac{n(n-1)}{2}=10$

$\rightarrow n=5$

$\frac{1}{\lambda}=R\left[1-\frac{1}{5^{2}}\right]$

$\Rightarrow \frac{1}{\lambda}=R\left[\frac{25-1}{25}\right]$

$\Rightarrow=\frac{25}{24 \times 109677} \mathrm{cm}$

$\Rightarrow \lambda=95 n m$

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