wave_mechanics progressive_waves Question 1

Question: The equation of a wave is$ y=2\sin \pi (0.5x-200t) $ , where x and y are expressed in cm and t in sec. The wave velocity is

[MP PMT 1986]

Options:

A) 100 cm/sec

B) 200 cm/sec

C) 300 cm/sec

D) 400 cm/sec

Show Answer

Answer:

Correct Answer: D

Solution:

Comparing given equation with standard equation of progressive wave.

The velocity of wave $ v=\frac{\omega (\text{Co-efficient of }t\text{)}}{k(\text{Co-efficient of }x)}=\frac{200\pi }{0.5\pi }=400cm/s $