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Question

Two particles P and Q start from origin and execute S.H.M 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 are at mean position is

A
1 : 2
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B
2 : 1
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C
2 : 3
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D
3 : 2
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Solution

The correct option is C 2 : 1
Velocity at mean position =Vmax
Vmax=Aω
ω=2πT
V1=A2πT1 {A1=A2=A }
V2=A×2πT2
V1V2=T2T1
V1V2=63
V1V2=21

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