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Q.

The displacement y (in cm) produced by a  simple harmonic wave is  y=10πsin2000πt−πx17. The periodic time and maximum velocity of the particles in the medium will respectively be

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a

10-3 sec and 330 m/sec

b

10-4 sec and 20 m/sec

c

10-3 sec and 200 m/sec

d

10-2 sec and 2000 m/sec

answer is C.

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Detailed Solution

Comparing with y=asin(ωt−kx)⇒a=10π,  ω=200 π ∴vmax=aω=10π×2000 π=200m/sec and ω=2πT⇒200 π=2πT⇒T=10−3sec
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The displacement y (in cm) produced by a  simple harmonic wave is  y=10πsin2000πt−πx17. The periodic time and maximum velocity of the particles in the medium will respectively be