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Question

The phase difference between the displacement and acceleration of a particle in a simple harmonic motion is


A
π2 rad
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B
Zero
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C
π rad
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D
3π2 rad
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Solution

The correct option is C π rad

For simple harmonic motion of a system, displacement is given by

x=Asinωt


So, acceleration of the system will be

a=d2xdt2=Aω2sinωt=Aω2sin(ωt+π)

From both expression, phase difference between the displacement and acceleration of a particle in a simple harmonic motion is π.

Hence, option (c) is correct.

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