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The equation of a wave is $y = 2 sinπ (0 .5 x - 200 t)$ , where x and y are expressed in cm and t in sec. The wave velocity is

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100 cm/sec

200 cm/sec

300 cm/sec

400 cm/sec

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detailed solution

Correct option is D

Comparing given equation with standard equation of progressive wave. The velocity of wavev=ω (Co-efficient of t)k (Co-efficient of x)=200π0.5π=400 cm/s

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The equation of a wave is y=2sinπ(0.5x−200t), where x and y are expressed in cm and t in sec. The wave velocity is

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Ready to Test Your Skills?

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The equation of a wave is $y = 2 sinπ (0 .5 x - 200 t)$ , where x and y are expressed in cm and t in sec. The wave velocity is