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BIHAR CET SHM Forms — practice questions

Explore 1 free SHM Forms questions in BIHAR CET Physics. Open each question or exercise to read its content, reference answers and available explanation.

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SHM Forms questions and exercises with answers

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A particle in SHM has displacement $x = a\cos(\omega t) + b\sin(\omega t)$. The amplitude of motion is:Read the answer and worked solution →

Worked practice questions

A particle in SHM has displacement $x = a\cos(\omega t) + b\sin(\omega t)$. The amplitude of motion is:

  1. $|a| + |b|$
  2. $\sqrt{a^2 + b^2}$
  3. $\sqrt{a^2 - b^2}$
  4. $\max(|a|,|b|)$
Show answer and solution

Correct answer: B. $\sqrt{a^2 + b^2}$

**Express as single sinusoid:** $x = R\sin(\omega t + \phi)$ with $R\sin\phi = a$ and $R\cos\phi = b$. So $R^2 = a^2 + b^2$ ⇒ $R = \sqrt{a^2+b^2}$. (Classic Asin + Bcos identity.)

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