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Question

A particle executes SHM, at what value of displacement are the kinetic and potential energies equal ?

A
2 A
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B
A2
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C
32A
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D
23A
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Solution

The correct option is B A2
We know that,
For a particle executing SHM, about mean position x=0.
The total energy of the particle
E=12mω2A2
Kinetic energy of the particle
K=12mω2(A2x2)
Potential energy of the particle
U=12mω2x2
If, K=U
12mω2(A2x2)=12mω2x2
2x2=A2
Then, x=A2=0.707A
Thus, option (b) is the correct answer.

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