Question:
The energy of a hydrogen atom in its ground state is \(-13.6\text{ eV}\). The energy of the level corresponding to the quantum number \(n = 5\) is
The energy of a hydrogen atom in its ground state is \(-13.6\text{ eV}\). The energy of the level corresponding to the quantum number \(n = 5\) is
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Energy is inversely proportional to \(n^2\).
Updated On: Apr 20, 2026
- \(-5.40\text{ eV}\)
- \(-0.54\text{ eV}\)
- \(-8.5\text{ eV}\)
- \(-2.72\text{ eV}\)
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept:
Energy of hydrogen atom: \(E_n = -\frac{13.6}{n^2}\text{ eV}\).
Step 2: Detailed Explanation:
For \(n=5\): \(E_5 = -\frac{13.6}{5^2} = -\frac{13.6}{25} = -0.544\text{ eV} \approx -0.54\text{ eV}\).
Step 3: Final Answer:
\(\boxed{-0.54\text{ eV}}\)
Energy of hydrogen atom: \(E_n = -\frac{13.6}{n^2}\text{ eV}\).
Step 2: Detailed Explanation:
For \(n=5\): \(E_5 = -\frac{13.6}{5^2} = -\frac{13.6}{25} = -0.544\text{ eV} \approx -0.54\text{ eV}\).
Step 3: Final Answer:
\(\boxed{-0.54\text{ eV}}\)
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