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Question

Physics Question on Wave characteristics

The equation of progressive wave is y=0.2sin2π[t0.01x0.3]y=0.2 \sin 2 \pi\left[\frac{t}{0.01}-\frac{x}{0.3}\right], where xx and yy are in metre and t is second. The velocity of propagation of the wave is

A

30 m/s

B

40 m/s

C

300 m/s

D

400 m/s

Answer

30 m/s

Explanation

Solution

v= coefficient of t coefficient of x=2π/0.012π/0.3=30m/sv =\frac{\text { coefficient of } t }{\text { coefficient of } x }=\frac{2 \pi / 0.01}{2 \pi / 0.3}=30 \,m / s