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Q.

The displacement of an object attached to a spring and executing simple harmonic motion is given by X=2×10−2 cost Ï€t  metre. The time at which themaximum speed first occurs is

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a

0.125 s

b

0.25 s

c

0.5 s

d

0.75 s

answer is C.

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Detailed Solution

given that X=2×10−2cos⁡πtV=dxdt=2π×10−2sin⁡πtThe velocity would be maximum when sin Ï€t=±1For first time maximum velocityπt=π/2 or t=12=0⋅5 second.
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