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Physics · JEE | OSCILLATIONS

हिन्दी

Which of the following functions of time represents a simple harmonic motion?

  1. A
    \( \u03sin^3 ωt \)
  2. B
    \( \u03sin ωt - \cos ωt \)
  3. C
    \( \cos ωt + \cos 3ωt + \cos 5ωt \)
  4. D
    \( \exp(-ω^2 t^2) \)
View Answer & Solution

Correct answer · Option B

\( \u03sin ωt - \cos ωt \)

Explanation

Linear combination of sine and cosine with the same frequency \( \sin(\omega t) - \cos(\omega t) = \sqrt{2}\sin(\omega t - \pi/4) \) represents SHM.
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