Question

1)An electron of mass ‘m’ confined to a one-dimensional box of length b, if it makes a radiative transition from the second excited state to the ground state, the frequency of the photon emitted 

a.9h2/8mb2

b.3h/8mb2

c.h/mb2

d.2h/8mb2​

Answer 1

Answer:

a) 9h2/8mb2

Explanation:

I am not a PRO at this but i Belive it is correct

Answer 2

answer is option C

Explanation:

For a one dimensional box energy is given by n2h2/8ma2

second excited state means n=3 and ground state is n=1

applying in formula we get

E=(3square minus 1 square)h2/8ma2

E=(9-1)h2/8ma2

E=8h2/8ma2

but here we need frequency

frequency = energy/h

substituiting we get

8h2/8ma2/h = h/ma2