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Question: The order of energies of energy levels A, B and C is E<sub>A</sub>\< E<sub>B</sub>\< E<sub>C</sub>. ...

The order of energies of energy levels A, B and C is EA< EB< EC. If the wavelength corresponding to transition C ® B, B ® A and C ® A are l1, l2 and l3 respectively, then which of the following relation is correct?

A

l1 + l2 + l3 = 0

B

l32 = l12 + l22

C

l3 = l1 + l2

D

l3 = λ1λ2λ1+λ2\frac{\lambda_{1}\lambda_{2}}{\lambda_{1} + \lambda_{2}}

Answer

l3 = λ1λ2λ1+λ2\frac{\lambda_{1}\lambda_{2}}{\lambda_{1} + \lambda_{2}}

Explanation

Solution

ECA = ECB + EBA

1λ3\frac{1}{\lambda_{3}}= λ1+λ2λ1λ2\frac{\lambda_{1} + \lambda_{2}}{\lambda_{1}\lambda_{2}}

\ l3 = λ1λ2λ1+λ2\frac{\lambda_{1}\lambda_{2}}{\lambda_{1} + \lambda_{2}}