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A particle moves with simple harmonic motion in a straight line. In first \( \tau \) sec, after starting from rest it travels a distance \( a \) and in next \( \tau \) sec, it travels \( 2 a \), in same direction, then
\( \mathrm{P} \)
(a) amplitude of motion is \( 3 a \)
(b) time period of oscillation is \( 8 \pi \)
(c) amplitude of motion is \( 4 a \)
(d) time period of oscillation is \( 6 \pi \)
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