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Question

Question: The displacement of a particle is given by \(y = 5 \times 10^{- 4}\sin(100t - 50x)\), where x is in...

The displacement of a particle is given by

y=5×104sin(100t50x)y = 5 \times 10^{- 4}\sin(100t - 50x), where x is in meter and t in sec, find out the velocity of the wave

A

5000 m/sec

B

2 m/sec

C

0.5 m/sec

D

300 m/sec

Answer

2 m/sec

Explanation

Solution

v=Co-efficient of tCo-efficient of x=10050=2m/secv = \frac{\text{Co-efficient of }t}{\text{Co-efficient of }x} = \frac{100}{50} = 2m/\sec.