MHT CET · Physics · Atomic Physics
If \(E\) and \(L\) denote the magnitudes of total energy and of angular momentum of electron in Bohr orbit then the true relation between them is
- A \(L \propto \frac{1}{\sqrt{E}}\)
- B \(E \propto \frac{1}{L}\)
- C \(E \propto L\)
- D \(L \propto \sqrt{E}\)
Answer & Solution
Correct Answer
(A) \(L \propto \frac{1}{\sqrt{E}}\)
Step-by-step Solution
Detailed explanation
According to Bohr's theory, for the \(n^{\text {th }}\) orbit total energy is given by
\(E \propto \frac{1}{n^2}\)
and the angular momentum is given by
\(L \propto n\)
\(\therefore L \propto \frac{1}{\sqrt{E}}\)
\(E \propto \frac{1}{n^2}\)
and the angular momentum is given by
\(L \propto n\)
\(\therefore L \propto \frac{1}{\sqrt{E}}\)
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