Energy levels A, B and C of a certain atom correspond to increasing values of energy i.e., `E_(A) lt E_(B) lt E_(C)` .If `lambda_(1), lambda_(2)` and `lambda_(3)` are the wavelengths of radiations corresponding to the transitions Cto B, B to A and C to A respectively as shown in Fig. 12.04, then which of the following statement is correct?

Options

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

Answer

B

Explanation

Here ` E_(B) - E_(A) = (hc)/(lambda_(1)) , E_(c) - E_(B) = (hc)/(lambda_(1)) and E_(C) = E_(A) = (hc)/(lambda_(3))`
On simplyfing these equestions we get the relation ` (1)/(lambda_(3)) =(1)/(lambda_(1)) +(1)/(lambda_(2))`