Q 11-14-067JEE MainJEE Main 2023 (10 Apr, Shift 1)Easy
A transverse harmonic wave on a string is given by $y(x,t)=5\sin(6t+0.003x)$, where $x$ and $y$ are in cm and $t$ in s. The wave velocity is ______ $\text{m s}^{-1}$.
Numerical value type. Enter your answer.
Answer: 20
$v=\dfrac\omega k=\dfrac{6}{0.003}=2000\ \text{cm s}^{-1}=20\ \text{m s}^{-1}$.
Solution by Sreeraj P, M.Sc Physics