A) 30 m/s
B) 40 m/s
C) 300 m/s
D) 400 m/s
Correct Answer: A
Solution :
Equation of the wave given \[y=0.02\sin 2\pi \left[ \frac{t}{0.01}-\frac{x}{0.3} \right]\] ...(1) The standard equation of the progressive wave is \[y=0.02\sin 2\pi \left[ \frac{t}{T}-\frac{x}{\lambda } \right]\] ...(2) Comparing the given equation with the standard equation of the progressive wave, we get time period, T = 0-01 sec. wavelength, \[\lambda =0.3\] The frequency of the wave is given by \[v=\frac{1}{T}=\frac{1}{0.01}=100Hz.\] Hence, the velocity of propagation of the wave \[\upsilon =v\lambda =100\times 0.3=30m/s\]
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