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Two particles P and Q start from the origin and execute simple harmonic motion along x-axis with the same amplitude and time periods 3s and 6s. 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

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detailed solution

Correct option is B

Since the particles start from x=0 and have the same amplitude but different time periods, they will meet again at x=0 where their velocities are maximum equal to aω1 and aω2, i.e.
v1v2=ω1ω2=2πT1×T22π=T2T1=63=2

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