Three ascending energy states of an atom are A,B,C. The wavelengths of emitted radiations due to transition from C to B and from B to A are `lambda_1 and lambda_2` respectively. What will be the wavelength of emitted radiation due to transition from C to A ?

Explanation

`E_C-E_B=(hc)/(lambda_1) , E_B-E_A =(hc)/(lambda_2)`
Now, if the wavelength of the radiation due to transition from C to A Be `lambda` , then
or, `(E_C-E_B)+(E_B-E_A) or, (hc)/(lambda) or, (hc)/(lambda_1) +(hc)/(lambda_2)= (hc)/(lambda)`
so, `1/(lambda) =1/(lambda_1)+1/(lambda_2) or, lambda =(lambda_1 lambda_2)/(lambda_1+lambda_2)`