The equation of wave is y=60 (1200 t-6 x) , where ' y ' is in micron, ' t ' is in second and ' x ' is in metre. The ratio of maximum particle velocity to the wave velocity of wave propagation is

Step-by-step solution

The wave equation y = 60 (1200t - 6x) has amplitude A = 60 10⁻⁶ m, angular frequency = 1200 rad/s, and wave number k = 6 rad/m. Maximum particle velocity is v_ p, max = A = (60 10⁻⁶)(1200) = 0.072 m/s. Wave velocity is v_w = / k = 1200 / 6 = 200 m/s. The ratio v_ p, max / v_w = A / ( / k) = Ak = (60 10⁻⁶)(6) = 3.6 10⁻⁴ , matching option C.