For the above transitions in a `H-`like species, select the correct relation(s) :

Options

A. `barv_(3)=barv_(1) + barv_(2)`
B. `v_(3)=(v_(1)v_(2))/(v_(1) + v_(2))`
C. `lambda_(3) = lambda_(1) + lambda_(2)`
D. `lambda_(3) = (lambda_(1)lambda_(2))/(lambda_(1)+lambda_(2)`

Answer

A, D

Explanation

`E_(3) = E_(1) + E_(2)`
Therefore, `barv_(3) = barv_(1) + barv_(2)`
Also, `(hc)/(lambda_(3)) = (hc)/(lambda_(1)) + (hc)/(lambda_(2)` So, `(1)/(lambda_(3)) = (1)/(lambda_(1)) + (1)/(lambda_(2))`
Thus, `lambda_(3) = (lambda_(1)lambda_(2))/(lambda_(1) + lambda_(2))`