Home Physics Simple Harmonic Motion (Oscillations) Mix The displacement of a linear harmonic oscill…
Physics Simple Harmonic Motion (Oscillations) Mix MCQ (Single Correct)

The displacement of a linear harmonic oscillator is given by x = A cos ω t. The curves showing the variation of the potential energy with t and x (see figure) are displayed respectively by:

A
I and III
B
I and IV
C
II and III
D
II and IV

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Text Solution

Verified by Experts
The correct answer is:
A

Potential energy is minimum (in this case zero) at mean position (x ∝ 0) and maximum at extreme positions (x = ± A)

At time t = 0, x = A. Hence P.E. should be maximum. Therefore graph I is correct.

Further in graph III, P.E. is minimum at x = 0. Hence this is also correct.

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