Q.5. The equation of wave motion is Y = 5sin(10πt−0.02πx+π/3) where x is in metre and t in second. The velocity of the wave is
A. 300 m/s
B. 400 m/s
C. 500 m/s
D. 600 m/s
Answer :- C. 500 m/s
Explanation :-
\therefore \quad Equation of Wave: \mathrm{y}=\mathrm{A} \sin (\mathrm{kx}-\omega \mathrm{t}+\phi)
Value of k :
\begin{aligned} & k=\frac{2 \pi}{\lambda} \ & k=0.02 \pi \ & \omega=10 \pi \end{aligned}\therefore \quad Velocity of wave is v=\frac{\omega}{k}
\begin{aligned} & v=\frac{10 \pi}{0.02 \pi} \ & v=500 \mathrm{~m} / \mathrm{s} \end{aligned}