NEET2013PhysicsAtomic PhysicsActual
An electron in hydrogen atom makes a transition n₁ n₂ where n₁ are principle 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:
Options
- An₁=6 and n₂=2
- Bn₁=8 and n₂=1
- Cn₁=4 and n₂=2
- Dn₁=4 and n₂=2
Correct answer
D. n₁=4 and n₂=2
Step-by-step solution
Time period of an electron in Bohr orbit is aligned & T= 4 ₀^2 h^3 n^3 m e^4 T & n^3 T₁ T₂ & = n₁^3 n₂^3 aligned As T₁=8 T₂ then aligned & ( 8 T₂ T₂ ) & = n₁^3 n₂^3 & ( n₁ n₂ )^3 & = (2^2 )^3 & n₁ n₂ & =2^2 & n₁ & =2 n₂ aligned