Question

A progressive wave moves with a velocity of 36m/s, in a medium with a frequency of 200Hz. The phase difference between two particles separated by a distance of $1$cm along the wave is?

• A. ${40}^0$
• B. 20 rad
• C. $\frac{\pi }{9}rad$
• D. $\frac{\pi }{9}$

Answer 1

The correct option is D $\frac{\pi }{9}$

$\begin{array}{c}\lambda =\frac{v}{f}\\ \lambda =\frac{36}{200}\\ \Delta \varphi =\frac{2\pi }{\lambda }\Delta x\\ =\frac{2\pi }{36}\times 200\times 0.01\\ =\frac{2\pi \times 2}{36}\\ =\frac{\pi }{9}\\ Hence,theoptionDisthecorrectanswer.\end{array}$