The displacement y (in$$ $$cm) produced by a simple harmonic wave is $$y=10$$$$π$$$$sin2000$$$$π$$t−π$$x17$$. The periodic time and maximum velocity of the particles in the medium will respectively be

Correct option is 310-3 sec and 200 m/sec

Questions

The displacement y (in cm) produced by a simple harmonic wave is $y = \frac{10}{π} \sin (2000 πt - \frac{πx}{17})$ . The periodic time and maximum velocity of the particles in the medium will respectively be

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10-3 sec and 330 m/sec

10-4 sec and 20 m/sec

10-3 sec and 200 m/sec

10-2 sec and 2000 m/sec

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detailed solution

Correct option is C

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

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The displacement y (in cm) produced by a simple harmonic wave is $y = \frac{10}{π} \sin (2000 πt - \frac{πx}{17})$ . The periodic time and maximum velocity of the particles in the medium will respectively be