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
A. 2700 B. 450 C. 900 D. 1800 E. No Correct Option
Correct Answer: E
Explanation
Comparing y = 10Sin\( (1000\pi t - \frac{\pi x}{34} ) \\ \text{With } y = a \text{Sin }(net - kx)\\ K = \frac{\pi}{34}, \text{and phase difference}\\ J = KAC = \frac{\pi}{34} \times 1.53rad.\\ \text{But} \pi rad = 180^0 \\ \text{Therefore } \frac{1.53rad}{34} = \frac{1.53 \pi}{34} \times \frac{1}{\pi} \times 180^0 \\ =8.1^0 \)
