Light waves from two coherent sources arrive at two points on a screen with path difference of zero and…

Light waves from two coherent sources arrive at two points on a screen with path difference of zero and $\lambda / 2$. The ratio of the intensities at the points is
  1. two : one
  2. one:two
  3. one: one
  4. infinity: one

Solution

When path difference is zero, the resultant intensity $I=4 I_{0}$, where $I_{0}$ is the intensity of the individual waves. When the path difference is $\frac{\lambda}{2}$, the intensity $I^{\prime}=0$ $\therefore \frac{I}{I^{\prime}}=\frac{4 I_{0}}{0}=\infty$

Asked in: MHT CET 2020 (14 Oct Shift 2)

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