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Questions  

A particle is executing SHM of amplitude A and time period T along a straight line. Then time required for the particle to directly move from x=A2to x=+A2is

a
7T24
b
5T12
c
7T12
d
5T24

detailed solution

Correct option is D

∠POM=cos−1OMOP = cos−1  A/2A  =  π4 ∠QON=cos−1ONOQ = cos−1  A/2A  =  π3 ∴     ∠POQ=  π4+π3=7π12 π−π4+π3=π−7π12=5π12 ∴    t=5π/12ω=5π/122π/T= 5T24

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