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_(2)lambda_(1))/(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

`E_(C)-E_(b) = (hc)/(lambda_(1))`
`E_(C) - E_(A) = (hc)/(lambda_(3))`
`E_(B) - E_(A) = (hc)/(lambda_(3))`
Solving the equations and get the answer.