MHT CET20243 May 2024Evening ShiftPhysicsAtomic PhysicsActual
A diatomic molecule has moment of inertia 'I'. By applying Bohr's quantization condition, its rotational energy in the n ^ th level is [ n 1] [h= Planck's constant ]
Options
- A1 n ^2 ( ~h ^2 8 ^2 I )
- B1 n ( h^2 8 ^2 I )
- Cn ( h ^2 8 ^2 I )
- Dn ^2 ( ~h ^2 8 ^2 I )
Correct answer
D. n ^2 ( ~h ^2 8 ^2 I )
Step-by-step solution
According to Bohr's quantization condition L = nh 2 = I = nh 2 I Rotational KE = 1 2 I ^2= 1 2 I ( nh 2 I )^2= n ^2 ~h ^2 8 ^2 I