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Questions  

The periodic time of a body executing simple harmonic motion is 3 sec. After how much interval from time t = 0, its displacement will be half of its amplitude 

a
18sec
b
16sec
c
14sec
d
13sec

detailed solution

Correct option is C

y=asin2πTt ⇒a2=asin2πt3 ⇒12=sin2πt3⇒sin2πt3=sinπ6 ⇒2πt3=π6 ⇒t=14sec

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