Question

For a certain atom, there are energy levels A,B,C corresponds to energy values `E_(A)ltE_(B)ltE_(C)`. Choose the correct option if `lambda_(1),lambda_(2),lambda_(3) `are the wavelength of rediations corresponding to the transition from C to B,B to A and C to A respectively.
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. `3lambda_(2)=lambda_(3)+2lambda_(2)`

Answer 1

Correct Answer - B
`E_(B)-E_(A)=(hc)/(lambda^(2))Rightarrow E_(0)-E_(B)(hc)/(lambda2)`
or `1/lambda_(3)=1/lambda_(1)+1/lambda_(2)Rightarrowlambda_(3)=(lambda_(1)lambda_(2))/(lambda_(1)+lambda_(2))`