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Question

Chemistry Question on Quantum Mechanical Model of Atom

A gas absorbs a photon of 355nm355 nm and emits at two wavelengths. If one of the emissions is at 680nm680 nm, the other is at:

A

518nm518 nm

B

1035nm1035 nm

C

325nm325 nm

D

743nm743 nm

Answer

743nm743 nm

Explanation

Solution

1λ=1λ1+1λ2\frac{1}{\lambda} = \frac{1}{\lambda_{1}} + \frac{1}{\lambda_{2}} 1355=1680+1λ2\frac{1}{355} = \frac{1}{680} + \frac{1}{\lambda_{2}} 1λ2=680355355×680\frac{1}{\lambda_{2}} = \frac{680 - 355}{355 \times 680} λ2=743nm\Rightarrow \lambda_{2} =743 nm