A progressive wave is represented by \( y = 10 \text{Sin} (1000\pi t - \frac{\pi x}{34}) \) . two layers of the wave separated by 153cm have a phase difference of
Correct Option:
E
Correct Answer: Option E
Comparing y = 10Sin\( (1000\pi t - \frac{\pi x}{34} ) \\
\text{With } y = a \text{Sin }(net - kx)\\
K = \frac{\pi}{34}, \text{and phase difference}\\
J = KAC = \frac{\pi}{34} \times 1.53rad.\\
\text{But} \pi rad = 180^0 \\ \text{Therefore } \frac{1.53rad}{34} = \frac{1.53 \pi}{34} \times \frac{1}{\pi} \times 180^0 \\ =8.1^0 \)
J = KAC = \frac{\pi}{34} \times 1.53rad.\\
\text{But} \pi rad = 180^0 \\ \text{Therefore } \frac{1.53rad}{34} = \frac{1.53 \pi}{34} \times \frac{1}{\pi} \times 180^0 \\ =8.1^0 \)