Question

The equation of progressive wave is y=a sin(200t−x). where x is in meter and t is in second. The velocity of wave is

A. 200 m/s
B. 100 m/s
C, 50 m/s
D. None of these

Answer 1

The velocity of the wave in the given equation is 200 m/s. Therefore, the correct option is A.

Step-by-step explanation:

The given equation of the progressive wave is y = a sin(200t - x). Here, x represents distance in meters and t represents time in seconds.

The velocity of a wave is given by the formula v = λf, where v is the wave velocity, λ is the wavelength, and f is the frequency.

Comparing the equation of the wave with the general form of a sinusoidal wave y = A sin(kx - ωt), we can see that the angular frequency, ω, is equal to 200 radians per second. Therefore, the wave velocity, v, is equal to 200 meters per second.

Therefore, the correct answer is A. 200 m/s.