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Q.

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

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a

7T24

b

5T12

c

7T12

d

5T24

answer is D.

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Detailed Solution

∠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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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