The equation of a plane progressive wave is given by y = 5 (200t - x 150 ) where x and y are in cm and t is in second. The velocity of the wave is _______ m/s.

Step-by-step solution

The given equation of the wave is y = 5 (200t - x 150 ) Rewriting the equation, we get y = 5 (200 t - x 150 ) Comparing this with the standard wave equation y = A ( t - kx) , we have: = 200 rad/s k = 150 rad/cm The velocity of the wave is given by v = k v = 200 150 = 30000 cm/s Converting to m/s, we get v = 30000 100 = 300 m/s Answer: 300