The electrons in a `H`- atom kept at rest , jumps from the mth shell to the nth shell `(m gt n)`. Suppose instead of emitting electromagnetic wave, the energy released is converted into kinetic energy of the atom. Assuming Bohr's model and conservation of angular momentum are valid. Now , answer the following questions:
Calculate the angular velocity of the atom about the nucleus if `l` is the momentum of inertia

Options

A. `((m + n))/(6.28) (h)/(l)`
B. `((m + n))/(1.57) (h)/(l)`
C. `((m - n))/(6.28) (h)/(l)`
D. `((m - n))/(1.57) (h)/(l)`

Answer

C

Explanation

Change in angular momentum `= 1 omega`
` implies (mh)/(2 pi) = (nh)/(2 pi) = 1 omega implies omega =((m - n) h)/(6.8I)`