CUET · PHYSICS · PYQ PAPER 2025
The kinetic energy of an electron in the H-atom in the second excited state is k units. Its total energy and potential energy, respectively, in the ground state will be
- A - 9 k, - 18k
- B - k, - 2 k
- C - 4 k, - 16 k
- D - k, 2 k
Answer & Solution
Correct Answer
(A) - 9 k, - 18k
Step-by-step Solution
Detailed explanation
Second excited state: \(n=3\) Kinetic energy: \(K.E._n = \frac{C}{n^2}\) \(k = \frac{C}{3^2} \implies C = 9k\) Ground state: \(n=1\) Total energy: \(T.E._1 = -\frac{C}{1^2} = -C = -9k\) Potential energy: \(P.E._1 = 2 \times T.E._1 = 2(-9k) = -18k\)
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