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Question: The equation of a progressive wave is given by \(y = a\sin(628t - 31.4x)\) If the distances are exp...

The equation of a progressive wave is given by

y=asin(628t31.4x)y = a\sin(628t - 31.4x) If the distances are expressed in cms and time in seconds, then the wave velocity will be

A

314 cm/sec

B

628 cm/sec

C

20 cm/sec

D

400 cm/sec

Answer

20 cm/sec

Explanation

Solution

v=Co-efficient of tCo-efficient of x=62831.4=20cm/secv = \frac{\text{Co-efficient of }t}{\text{Co-efficient of }x} = \frac{628}{31.4} = 20cm/sec