wave_mechanics progressive_waves Question 7

Question: The equation of a progressive wave is given by $ y=a\sin (628t-31.4x) $ If the distances are expressed in cms and time in seconds, then the wave velocity will be

[DPMT 1999]

Options:

A) 314 cm/sec

B) 628 cm/sec

C) 20 cm/sec

D) 400 cm/sec

Show Answer

Answer:

Correct Answer: C

Solution:

$ v=\frac{\text{Co-efficient of }t}{\text{Co-efficient of }x} $

$ =\frac{628}{31.4}=20cm/sec $