What is the phase difference at a given instant of time between two particles $25\text{ m}$ apart, when the…
What is the phase difference at a given instant of time between two particles $25\text{ m}$ apart, when the wave $y(x, t) = 0.03 \sin \pi (2t - 0.01x)$ travels in a medium?
$\frac{\pi}{8}$
$\frac{\pi}{4}$
$\frac{\pi}{2}$
$\pi$
Solution
Phase difference,
$\Delta \phi = \frac{2\pi}{\lambda} \cdot \Delta x = k \cdot \Delta x = \pi \times 0.01 \times 25 = \frac{\pi}{4}$