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: In a CO molecule, the distance between C (mass =12 amu ) a
Options
- A2.4 10⁻¹⁰ ~m
- B1.9 10⁻¹⁰ ~m
- C1.3 10⁻¹⁰ ~m
- D4.4 10⁻¹¹ ~m
Correct answer
C. 1.3 10⁻¹⁰ ~m
Step-by-step solution
I= r^2 ( where = reduced mass) = m₁ m₂ m₁+m₂ = 48 7 amu =11.43 10⁻²⁷ ~kg Substituting in I= r^2 we get, aligned r & = I = 1.87 10⁻⁴⁶ 11.43 10⁻²⁷ & =1.28 10⁻¹⁰ ~m aligned The correct answer is (c).