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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Simple Harmonic Motion

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Simple Harmonic Motion

The figure displays two simple harmonic motions. Which parameter...

The figure displays two simple harmonic motions.
The figure displays two simple harmonic motions. Which parameter has different values in the two motions?
Which parameter has different values in the two motions?

Options

  1. Aamplitude
  2. Bphase
  3. Cmaximum velocity
  4. Dfrequency

Correct answer

B. phase

Step-by-step solution

From the given figure, we can observe the following for the two simple harmonic motions A and B:

1. Both motions have the same maximum displacement from the mean position, which means their amplitudes are equal.
2. Both motions complete their respective quarter cycles in the same sequence of snapshots, indicating that their time periods and frequencies are the same.
3. Since the amplitude AA and angular frequency ω\omega are the same, the maximum velocity v_{\text\max} = A\omega is also the same for both motions.
4. At the initial position, the particle in motion A is at the mean position and moving towards the right (positive direction), corresponding to an initial phase of 00. In contrast, the particle in motion B is at the mean position but moving towards the left (negative direction), corresponding to an initial phase of π\pi.

Therefore, the two motions differ only in their phase.
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