Question

The wave from coherent source meet at a point in a path difference of $\Delta x$. Both the wave have same intensities. Match the following two columns

Answer 1

In such case we can find the resultant intensity by

$\overrightarrow{I}=\overrightarrow{I_1}+\overrightarrow{I_2}$ where $|\overrightarrow{I_1}|=|\overrightarrow{I_2}|$

For first $\frac{\lambda }{3}$ corresponds to phase difference of $\frac{2\pi }{3}$.Thus resultant intensity will be equal to intensity of Interfering wave.

For second $\frac{\lambda }{6}$ corresponds to phase difference of $\frac{\pi }{3}$.Thus resultant intensity will be $\sqrt{3}$ to intensity of Interfering wave.

For third $\frac{\lambda }{4}$ corresponds to phase difference of $\frac{\pi }{2}$.Thus resultant intensity will be $\sqrt{2}$ to intensity of Interfering wave.