A particle executing a simple harmonic motion of period 2s. When it is at its extreme displacement from its mean position, it receives an additional energy equal to what it had in its mean position. Due to this, in its subsequent motion,
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Question

A particle executing a simple harmonic motion of period 2s. When it is at its extreme displacement from its mean position, it receives an additional energy equal to what it had in its mean position. Due to this, in its subsequent motion,

Options

G1 Physics · Accepted Answer

At the extreme, initial oscillator energy is E=(1/2)kA². An additional energy equal to E is supplied, so new total oscillation energy is 2E=(1/2)kA′². Hence A′=√2 A. The period depends only on m and k, so it is unchanged. Correct option: 1.