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 $