Question

In a wave, the path difference corresponding to a phase difference of $\varphi$ is

• A. $\frac{\pi }{2\lambda }\varphi$
• B. $\frac{\pi }{2}\varphi$
• C. $\frac{\lambda }{2\pi }\varphi$
• D. $\frac{\lambda }{\pi }\varphi$

Answer 1

Answer: (C)

Phase difference of $2\pi$ corresponds to path difference of $\lambda$. So, unit phase difference corresponds to $\frac{\lambda }{2\pi }$. Clearly, the phase difference $\varphi$ corresponds to a path difference of $\frac{\lambda }{2\pi }\varphi$