First slide

Travelling wave

Question

The equation of a wave is $y = 2 sinπ (0 .5 x - 200 t)$ , where x and y are expressed in cm and t in sec. The wave velocity is

Moderate

A

100 cm/sec
B

200 cm/sec
C

300 cm/sec
D

400 cm/sec

Solution

Comparing given equation with standard equation of progressive wave. The velocity of wave
$v = \frac{ω (Co-efficient of t)}{k (Co-efficient of x)} = \frac{200 π}{0 .5 π} = 400 cm / s$

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