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(C) The contrast (or visibility) of fringes in an interference pattern is defined by the ratio of the difference between maximum and minimum intensiti

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intensity ratio of the sources

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(C) The contrast (or visibility) of fringes in an interference pattern is defined by the ratio of the difference between maximum and minimum intensities to their sum.Mathematically,visibility $V = \frac{I_{max} - I_{min}}{I_{max} + I_{min}}$.If the two sources have intensities $I_1$ and $I_2$,then $I_{max} = (\sqrt{I_1} + \sqrt{I_2})^2$ and $I_{min} = (\sqrt{I_1} - \sqrt{I_2})^2$.Substituting these,we get $V = \frac{2\sqrt{I_1 I_2}}{I_1 + I_2}$.Thus,the contrast depends on the intensity ratio of the sources. When $I_1 = I_2$,the contrast is maximum $(V = 1)$,resulting in perfectly dark minima $(I_{min} = 0)$.

The contrast in the fringes in an interference pattern depends on

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