First slide

Interference

Question

If the ratio of intensities of two waves causing interference be 9 4, then the ratio of the resultant maximum and minimum intensities will be :

Moderate

A

9 : 4
B

3 : 2
C

25 : 1
D

5 : 1

Solution

$I_{max} = {(\sqrt{I_{1}} + \sqrt{I_{2}})}^{2} = (\sqrt{9} + \sqrt{4})^{2} = 25$
$I_{min} = {(\sqrt{I_{1}} - \sqrt{I_{2}})}^{2} = (\sqrt{9} - \sqrt{4})^{2} = 1$

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