MHT CET · Physics · Atomic Physics
If ' \(E\) ' and ' \(L\) ' denote the magnitude of total energy and angular momentum of revolving electron in \(\mathrm{n}^{\text {th }}\) Bohr orbit, then
- A \(\mathrm{E} \propto \mathrm{L}^{-1}\)
- B \(\mathrm{E} \propto \mathrm{L}\)
- C \(\mathrm{E} \propto \mathrm{L}^{-2}\)
- D \(\mathrm{E} \propto \mathrm{L}^2\)
Answer & Solution
Correct Answer
(C) \(\mathrm{E} \propto \mathrm{L}^{-2}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \mathrm{E} \propto \frac{1}{\mathrm{n}^2} \text { and } \mathrm{L} \propto \mathrm{n} \\ & \therefore \mathrm{E} \propto \frac{1}{\mathrm{~L}^2} \\ & \text { or } \mathrm{E} \propto \mathrm{L}^{-2}\end{aligned}\)
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