An electron in hydrogen atom makes a transition n1 n2 where n1 and n2 are principal quantum numbers of the two states. Assuming Bohr's model to be valid, the time period of the electron in the initial state is eight times that in the final state. The possible values of n1 and n2 are
- n1 = 6 and n2 = 2
- n1 = 8 and n2 = 1
- n1 = 8 and n2 = 2
- n1 = 4 and n2 = 2
Answer
(4) n1 = 4 and n2 = 2
Solution
In Bohr's model, rn n2 and vn 1n.
Tn = 2 rnvn n3
T1T2 = 8
( n1n2 )3 = 8
n1 = 2n2
Among the options only n1 = 4, n2 = 2 satisfies this.
Answer: (4)