JEE Main2012PhysicsAtomic PhysicsActual
A diatomic molecule is made of two masses m₁ and m₂ which are separated by a distance r . If we calculate its rotational energy by applying Bohr's rule of angular momentum quantization, its energy will be given by ( n is an integer)
Options
- A(m₁+m₂ )^2 n^2 h^2 2 m₁^2 m₂^2 r^2
- Bn^2 h^2 2 (m₁+m₂ ) r^2
- C2 n^2 h^2 (m₁+m₂ ) r^2
- D(m₁+m₂ ) n^2 h^2 2 m₁ m₂ r^2
Correct answer
D. (m₁+m₂ ) n^2 h^2 2 m₁ m₂ r^2
Step-by-step solution
r₁= m₂ r m₁+m₂ ; r₂= m₁ r m₁+m₂ (l₁+l₂ ) = n h 2 =nhK . E= 1 2 (l₁+l₂ ) ^2= n^2 h^2 (m₁+m₂ ) 2 m₁ m₂ r^2