Question

The equation of a simple harmonic progressive wave is given by y = A sin (100$\pi t-3x$). Find the distance between 2 particles having a phase difference of $\frac{\pi }{3}$.

• A. $\frac{\pi }{9}m$
• B. $\frac{\pi }{18}m$
• C. $\frac{\pi }{6}m$
• D. $\frac{\pi }{3}m$

Answer 1

Answer: (A)

$\frac{\pi }{9}m$

The equation of the wave form $y=Asin(\omega t-kx)$ has wavelength of value

$\lambda =\frac{2\pi }{k}=\frac{2\pi }{3}$

Distance between two points having phase difference $\varphi =x_2-x_1=\frac{\lambda }{2\pi }\times \varphi$

$=\frac{2\pi /3}{2\pi }\times \frac{\pi }{3}m=\frac{\pi }{9}m$