A transverse wave is represented by y = 2 sin ω t - k x cm . The value of wavelength (in cm ) for which the wave velocity becomes equal to the maximum particle velocity, will be

Step-by-step solution

The given equation is y = 2 sin ω t - k x The maximum particle velocity = A ω And the wave velocity = ω k For wave velocity to be equal to maximum particle velocity ω k = A ω ⇒ k = 1   A Since, k = 2 π λ λ = 2 π A = 4 π   cm .