Question

Assume the angular momentum of a diatomic molecule is quantized according to the relation . What are the allowed rotational kinetic energies

Answer 1

Answer:

The answer to this question can be defined as follows:

Explanation:

In the given question, an equation is missing which can be defined as follows:

$I \omega =\sqrt{J(J+1)}h$

solution:

Angular momentum:

$L=I \omega =\sqrt{J(J+1)}h$

Convert Angular momentum in terms of kinetic energy:

$K = \frac{L^2}{2I}$

    $= \frac{h^2(J(J+1))}{2I}$