CUET · PHYSICS · PYQ PAPER 2023
The electron in a hydrogen atom rises from its n = 1 state to n = 4 state by absorbing energy. The energy of the electron in the n = 1 state is -13.6 eV. How much energy is absorbed by the electron in transition?
- A -0.85 eV
- B 12.75 eV
- C -12.75 eV
- D 0.85 eV
Answer & Solution
Correct Answer
(B) 12.75 eV
Step-by-step Solution
Detailed explanation
\(E_n = \frac{E_1}{n^2}\) \(E_4 = \frac{-13.6 \text{ eV}}{4^2} = -0.85 \text{ eV}\) \(\Delta E = E_4 - E_1 = -0.85 \text{ eV} - (-13.6 \text{ eV})\) \(\Delta E = 12.75 \text{ eV}\)
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