MHT CET · Physics · Atomic Physics
The magnitude of total energy and angular momentum of an electron in the \(\mathrm{n}^{\mathrm{th}}\) orbit of a Bohr atom is denoted by \(E_{n}\) and \(L_{n}\) respectively. Then
- A \(\mathrm{E}_{\mathrm{n}} \propto \mathrm{L}_{\mathrm{n}}\)
- B \(\mathrm{E}_{\mathrm{n}} \propto \mathrm{L}_{\mathrm{n}}^{3}\)
- C \(\mathrm{E}_{\mathrm{n}} \propto \frac{1}{\mathrm{~L}_{\mathrm{n}}^{2}}\)
- D \(\mathrm{E}_{\mathrm{n}} \propto \frac{1}{\mathrm{~L}_{\mathrm{n}}}\)
Answer & Solution
Correct Answer
(C) \(\mathrm{E}_{\mathrm{n}} \propto \frac{1}{\mathrm{~L}_{\mathrm{n}}^{2}}\)
Step-by-step Solution
Detailed explanation
\(L_{n} = n \frac{h}{2\pi}\) \(n \propto L_{n}\)
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