Two particles P and Q start from origin and execute Simple Harmonic Motion along X-axis with same amplitude but with periods 3 seconds and 6 seconds respectively. The ratio of the velocities of P and Q when they meet is
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a
1 : 2
b
2 : 1
c
2 : 3
d
3 : 2
answer is B.
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Detailed Solution
The particles will meet at the mean position when P completes one oscillation and Q completes half an oscillationSo vPvQ=aωPaωQ=TQTP=63=21