In Young's double slit experiment, the ratio of intensities at two points on a screen when waves from the…

In Young's double slit experiment, the ratio of intensities at two points on a screen when waves from the two slits have a path difference of zero and $\frac{\lambda}{4}$ is $\left[\cos 0^{\circ}=\sin 90^{\circ}=1, \sin 0^{\circ}=\cos 90^{\circ}=0\right]$
  1. $2: 1$
  2. $3: 1$
  3. $2: 3$
  4. $3: 2$

Solution

$I=4 I_{0} \cos ^{2} \frac{\phi}{2}$ $\phi=\frac{2 \pi}{\lambda} \times \frac{\lambda}{4}=\frac{\pi}{2}$ $\frac{\phi}{2}=\frac{\pi}{4}$ $\frac{1}{I_{0}}=4 \cos ^{2} \frac{\pi}{4}=\frac{4}{2}=2: 1$

Asked in: MHT CET 2020 (20 Oct Shift 2)

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