Energy levels `A, B, C` of a certain atom corresponding to increasing values of energy i.e., `E_(A) lt E_(B) lt E_(C)`. If `lambda_(1), lambda_(2), lambda_(3)` are the wavelengths of radiations correspnding to the transitions `C` to `B, B` to `A` and `C` to `A` respectively, which o fthe following statements is correct?

Options

A. `lambda_(3)=lambda_(1)+lambda_(2)`
B. `lambda_(3) =(lambda_(1)lambda_(2))/(lambda_(1)+lambda_(2))`
C. `lambda_(1)+lambda_(2)+lambda_(3)=0`
D. `lambda_(3)^(2)=lambda_(1)^(2)+lambda_(2)^(2)`

Answer

B

Explanation

`(hc)/(lamda_(1))+(hc)/(lamda_(2))=(hc)/(lamda_(3)) implies (lamda_(1)+lamda_(2))/(lamda_(1) lamda_(2))=(1)/(lamda_(3))`
`lamda_(3)=(lamda_(1)lamda_(2))/(lamda_(1)+lamda_(2))`