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The equation of a wave is represented by $y = 10^{-4}\sin\left(100t - \dfrac{x}{10}\right)$ m, then the velocity of wave will be : -
A
100 m/s
B
4 m/s
C
1000 m/s
D
0.00 m/s
Detailed Solution
Compare with $y = A\sin(\omega t - kx)$: $\omega = 100$ rad/s and $k = \dfrac{1}{10}$ m$^{-1}$.
Wave velocity $v = \dfrac{\omega}{k} = \dfrac{100}{1/10} = 1000$ m/s
Wave velocity $v = \dfrac{\omega}{k} = \dfrac{100}{1/10} = 1000$ m/s