The equation of a transverse wave on a stretched string is given by $y = 0.05 \sin 2\pi \left(\frac{t}{0…
The equation of a transverse wave on a stretched string is given by $y = 0.05 \sin 2\pi \left(\frac{t}{0.002} - \frac{x}{0.1}\right)$, where $x$ and $y$ are expressed in metre and $t$ in second. The speed of the wave is
100 ms$^{-1}$
50 ms$^{-1}$
200 ms$^{-1}$
400 ms$^{-1}$
Solution
Speed of wave $= \frac{\text{Coefficient of } t}{\text{Coefficient of } x} = \frac{\frac{2\pi}{0.002}}{\frac{2\pi}{0.1}} = 50\text{ ms}^{-1}$