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Q.

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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a

100 cm/sec

b

200 cm/sec

c

300 cm/sec

d

400 cm/sec

answer is D.

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Detailed Solution

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