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JEE PHYSICS MCQ: OSCILLATIONS

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A particle performs Simple Harmonic Motion of amplitude A{A} and angular frequency ω\omega along a straight line. When it is at a distance 32 A\frac{\sqrt{3}}{2} {~A} from mean position, its kinetic energy gets increased suddenly by an amount 12mω2A2\frac{1}{2} m \omega^2 A^2, due to an impulsive force. Then new amplitude of oscillations of the particle will be :
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Correct option: C
2 A\sqrt{2} {~A}
Option C (2 A\sqrt{2} {~A}) is correct because the new amplitude is calculated by equating the new total energy after the impulse to the potential energy at the new amplitude.

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