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CUET · PHYSICS · PYQ PAPER 2023

The correct relation(s) among total energy, kinetic energy and potential energy as per Bohr's theory of hydrogen atom is/are
(A) T.E. \(=-\) K.E.
(B) K.E. \(=\) P.E.
(C) K.E. \(=-\frac{\text { P.E. }}{2}\)
(D) T.E. \(=\frac{\text { P.E. }}{2}\)
(E) T.E. \(=\) P.E.
Choose the correct answer from the options given below :

  1. A (A), (C) and (D) only
  2. B (A) and (D) only
  3. C (C), (D) and (E) only
  4. D (A), (B) and (C) only
Verified Solution

Answer & Solution

Correct Answer

(A) (A), (C) and (D) only

Step-by-step Solution

Detailed explanation

K.E. \(=\) \(\frac{1}{2} mv^2\) P.E. \(=\) \(-\frac{e^2}{4\pi\epsilon_0 r}\) From centripetal force: \(\frac{mv^2}{r} = \frac{e^2}{4\pi\epsilon_0 r^2} \implies mv^2 = \frac{e^2}{4\pi\epsilon_0 r}\) K.E. \(=\)…