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# The displacement of a body executing SHM is given by x = A sin (2πt + π3). The first time from t = 0 when the velocity is maximum is:0.33 sec0.5 sec0.25 sec0.16 sec

A
0.33 sec
B
0.25 sec
C
0.16 sec
D
0.5 sec
Solution
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#### The displacement of a body executing SHM is given by: x=Asin(2πt+π/3)Velocity, v=dxdt=2πAcos(2πt+π/3)For maximum velocity, dvdt=0⇒−4π2Asin(2πt+π/3)=0⇒sin(2πt+π/3)=sin(nπ)⇒2πt+π/3=nπfor n=1⇒2πt=π−π/3=2π3t=13=0.33secThe correct option is A.

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