JEE Advanced2010PhysicsAtomic PhysicsActual
Paragraph: The key feature of Bohr's theory of spectrum of hydrogen atom is the quantization of angular momentum when an electron is revolving around a proton. We will extend this to a general rotational motion to find quantized rotational energy of a diatomic molecule assuming it to be rigid. The rule to be applied is Bohr's quantization condition. Question: A diatomic molecule has moment of inertia I. By Bohr's qua
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
aligned L=I & = n h 2 = n h 2 I K & = 1 2 I ^2= 1 2 I ( n h 2 I )^2 & = n^2 h^2 8 ^2 I aligned The correct answer is (d).