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  4. Two coherent sources whose intensity ratio is 64: 1 produce interference fringes. The ratio of intensities of maxima and minima is

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Q. Two coherent sources whose intensity ratio is 64 : 1 produce interference fringes. The ratio of intensities of maxima and minima is

CMC MedicalCMC Medical 2014

Solution:

The ratio of intensities of maxima and minima $ \frac{{{I}_{\max }}}{{{I}_{\min }}}=\frac{{{(\sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}})}^{2}}}{{{(\sqrt{{{I}_{1}}}-\sqrt{{{I}_{2}}})}^{2}}}=\frac{{{(\sqrt{64}+\sqrt{1})}^{2}}}{{{(\sqrt{64}-\sqrt{1})}^{2}}} $ $ \frac{{{I}_{\max }}}{{{I}_{\min }}}=\frac{{{(8+1)}^{2}}}{{{(8-1)}^{2}}}=\frac{81}{49} $