MCQ
A gas absorbs a photon of $355\, nm$ and emits at two wavelengths. If one of the emissions is at $680\, nm,$ the other is at : ................. $\mathrm{nm}$
  • A
    $1035$
  • B
    $325$
  • $743$
  • D
    $518$

Answer

Correct option: C.
$743$
c
Here a photon is divided into two photons of different wavelength.

According to the law of conservation of energy,

Energy of photon before dividing into two parts $=$ Energy of first photon $+$ Energy of second photon

$\frac{h c}{\lambda}=\frac{h c}{\lambda_{1}}+\frac{h c}{\lambda_{2}}$

$\Rightarrow \frac{1}{\lambda}=\frac{1}{\lambda_{1}}+\frac{1}{\lambda_{2}}$

$\Rightarrow \frac{1}{355}=\frac{1}{680}+\frac{1}{\lambda_{2}}$

$\lambda_{2}=742.77 \mathrm{\,nm}=743 \mathrm{\,nm}$

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