First slide

Coherent sources and their importance in interference

Question

Two waves have their amplitudes in the ratio 1 : 9. The maximum and minimum intensities when they interfere are in the ratio

Easy

A

$\frac{25}{16}$
B

$\frac{16}{26}$
C

$\frac{1}{9}$
D

$\frac{9}{1}$

Solution

$\frac{I_{max}}{I_{min}} = {(\frac{\frac{a_{1}}{a_{2}} + 1}{\frac{a_{1}}{a_{2}} - 1})}^{2} = {(\frac{\frac{1}{9} + 1}{\frac{1}{9} - 1})}^{2} = {(\frac{5}{4})}^{2} = \frac{25}{16}$

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