MHT CET · Physics · Atomic Physics
In hydrogen atom, the energy of electron in first and third orbit is ' \(\mathrm{E}_1{ }^{\prime}\) and ' \(E_3{ }^{\prime}\) respectively. If \(E_3=x E_1\) then the value of \(x\) will be
- A \(\frac{1}{9}\)
- B \(\frac{1}{64}\)
- C \(\frac{1}{27}\)
- D \(\frac{1}{8}\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{9}\)
Step-by-step Solution
Detailed explanation
\(E_n \propto \frac{1}{n^2}\) \(E_3 = x E_1 \implies x = \frac{E_3}{E_1}\)
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