Question

The equation of wave motion is \(Y = 6sin(12πt-0.02πx+\frac{π}{3})\) where x is in metre and time in second. The velocity of the wave is

• A. \(200\) m/s
• B. \(300\) m/s
• C. \(400\) m/s
• D. \(600\) m/s

Hint:

Wave speed equals omega divided by k.

Answer 1

The Correct Option is D

Step 1: Use frequency and wavelength:
$f = \omega/2\pi = 6$ Hz. $\lambda = 2\pi/k = 100$ m.

Step 2: Speed:
$v = f\lambda = 6\times100$.

Step 3: Result:
$v = 600$ m/s, option (D).

Final Answer:
The wave velocity is 600 m/s. \[ \boxed{\text{(D) }600\ \text{m/s}} \]