Start learning →

MP DTE Superposition — practice questions

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

Practise Superposition with Quill →

Superposition questions and exercises with answers

Showing questions 1–1 of 1.

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. $2A$
Show answer and solution

Correct answer: B. $\sqrt 3 A$

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

Open this question →

How to practise

  1. Choose a Superposition question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Physics topics

MagnetismCurrent ElectricityWork and EnergyWork and PowerMagnetism and MatterElectromagnetismOpticsKinetic Theory of Gases