Two coherent sources produce waves of different intensities which interfere. After interference, the

Question

Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is 16 . The intensity of waves is in the ratio

Professor PC Thomas Classes · Answer

$\frac{I_{max}}{I_{min}} = (\frac{\sqrt{I_1}+\sqrt{I_2}}{\sqrt{I_1}-\sqrt{I_2}})^2 = 16 \implies \frac{\sqrt{I_1}}{\sqrt{I_2}} = \frac{5}{3} \implies \frac{I_1}{I_2} = \frac{25}{9}$.