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HPCET Superposition — practice questions

Explore 1 free Superposition questions in HPCET Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Superposition questions and exercises with answers

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If $x_1 = A\sin(\omega t)$ and $x_2 = A\sin(\omega t + \pi/3)$, the resultant amplitude of $x_1 + x_2$ is:Read the answer and worked solution →

Worked practice questions

If $x_1 = A\sin(\omega t)$ and $x_2 = A\sin(\omega t + \pi/3)$, the resultant amplitude of $x_1 + x_2$ is:

  1. $A$
  2. $\sqrt 3 A$
  3. $\sqrt 2 A$
  4. $2A$
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Correct answer: B. $\sqrt 3 A$

Two SHMs of same $\omega$ add as vectors (phasors). **Resultant amplitude:** $A_R = \sqrt{A^2 + A^2 + 2A^2\cos(\pi/3)} = \sqrt{2A^2(1+\cos 60°)} = \sqrt{2A^2 \cdot 3/2} = \sqrt{3}A$.

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