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JEE Main 2023 (13 Apr, Shift 1) · Energy in SHM

Energy in SHM question from JEE Main 2023 (13 Apr, Shift 1)

Q42JEE Main 2023 · 13 APR · SHIFT 1Easy

Energy in SHM

Which graph represents the difference between total energy and potential energy of a particle executing SHM vs its distance from mean position?

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Answer: (a)

  1. E−PE=KE=12k(A2−x2)E - PE = KE = \frac{1}{2}k(A^2 - x^2)
  2. This is a downward parabola: maximum at x=0x = 0, zero at x=±Ax = \pm A, rounded (not pointed) at the top.
  3. So the answer is (a).
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