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JEE Main 2024 (5 Apr, Shift 1) · Energy of the Electron & Energy Levels

Energy of the Electron & Energy Levels question from JEE Main 2024 (5 Apr, Shift 1)

Q14JEE Main 2024 · 5 APR · SHIFT 1Easy

Energy of the Electron & Energy Levels

An electron rotates in a circle around a nucleus having positive charge ZeZe. Correct relation between total energy (E) of electron to its potential energy (U) is:

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Answer: (c)

  1. For a circular orbit U=−kZe2rU = -\frac{kZe^2}{r} and KE=kZe22r=−U2KE = \frac{kZe^2}{2r} = -\frac{U}{2}.
  2. E=KE+U=U2⇒2E=UE = KE + U = \frac{U}{2} \Rightarrow 2E = U
  3. So the answer is (c) 2E=U2E = U.
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