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Question

A particle executes SHM between x = - A and x =  + A. The time taken by it to go from 0 to A2 is T1 and to go from A2 to A is T2. Then
 


Solution

The correct option is B
When y=A2,t=T1A=A
and y=A2+A2=A,t=T1+T2,A=A. Now, y=Asinωt
A2=AsinωT1orT1=12=sinπ6 
ωT1=π6T1=π6ω...(1)
and A=Asinω(T1+T2)
ω(T1+T2)=π2T1+T2=π2ωT2=π2ωπ6ω from (1)
T2=2π6ωT2>T1

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