First slide

Young's double slit Experiment

Question

If an interference pattern have maximum and minimum intensities in 36 : 1 ratio, then what will be the ratio of amplitudes?

Moderate

A

3 : 7
B

7 : 4
C

4 : 3
D

7 : 5

Solution

$\frac{I_{max}}{I_{min}} = {(\frac{\frac{a_{1}}{a_{2}} + 1}{\frac{a_{1}}{a_{2}} - 1})}^{2} \Rightarrow \frac{a_{1} + a_{2}}{a_{1} - a_{2}} = 6$
$\frac{a_{2}}{a_{1}} = 7 : 5$

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