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Q.

The amplitude and time period of a particle of  mass 0.1 kg executing simple harmonic motion are 1m and 6.28 s, respectively. Then its angular frequency and acceleration at a displacement of 0.5 m are respectively

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a

1 rad/s, 0.5 m/s2

b

2 rad/s, 1 m/s2

c

0.5 rad/s, 0.5 m/s2

d

1 rad/s , 1 m/s2

answer is A.

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Detailed Solution

ω=2πT;a=ω2x
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The amplitude and time period of a particle of  mass 0.1 kg executing simple harmonic motion are 1m and 6.28 s, respectively. Then its angular frequency and acceleration at a displacement of 0.5 m are respectively