The maximum velocity and acceleration of a particle in SHM are 100cm/s and 157cm/s2 respectively. The time period in seconds will be :
A
4
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B
1.57
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C
0.25
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D
1
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Solution
The correct option is A4 In SHM,
Maximum velocity vmax=Aω=100cm/s...........(1)
Maximum acceleration amax=Aω2=157cm/s2.......(2)
dividing eq.(1) to eq.(2), we get ω=157100=1.57rad/s
Time period (T)=2πω ⇒T=2×3.141.57=4s
Hence, option (a) is the correct answer.