First slide

Electromagnetic radiation and spectra

Question

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

Moderate

A

1035 nm
B

325 nm
C

743 nm
D

518 nm

Solution

Energy values are additive
$E = E_{1} + E_{2} hv = {hv}_{1} + {hv}_{2} \frac{hc}{λ} = \frac{hc}{λ_{1}} + \frac{hc}{λ_{2}} ∴ \frac{1}{λ} = \frac{1}{λ_{1}} + \frac{1}{λ_{2}} \frac{1}{355} = \frac{1}{680} + \frac{1}{λ_{2}} ∴ \frac{1}{λ_{2}} = (\frac{1}{355} - \frac{1}{680}) = 1.3463 \times 10^{- 3} nm λ_{2} = 743 nm$

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