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Physics · JEE | OSCILLATIONS

हिन्दी

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Both kinetic energy and potential energy of a linear simple harmonic oscillator peak twice during each period of SHM. Reason (R): Both kinetic energy and potential energy depend upon the square of time-dependent harmonic functions (cosine or sine) which complete two full cycles per period of displacement oscillation. In the light of the above statements, choose the correct answer from the options given below:

  1. A
    Both (A) and (R) are true and (R) is the correct explanation of (A).
  2. B
    Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
  3. C
    (A) is true but (R) is false.
  4. D
    (A) is false but (R) is true.
View Answer & Solution

Correct answer · Option A

Both (A) and (R) are true and (R) is the correct explanation of (A).

Explanation

Both kinetic energy \( K \propto \sin^2(\omega t + \phi) \) and potential energy \( U \propto \cos^2(\omega t + \phi) \) oscillate with frequency \( 2\omega \), peaking twice per cycle \( T \).
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