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Q.

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

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a

18sec

b

16sec

c

14sec

d

13sec

answer is C.

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Detailed Solution

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