2 coherent sources whose intensity ratio is 81:1 produce interference

1.	2 coherent sources whose intensity ratio is 81:1 produce interference fringe. calculate ratio of intensity of maxima and minima in fringe system
Answer» ANSWER: The RATIO of the INTENSITY of MAXIMA and minima is 25:16. Explanation: Given that, Ratio of intensity $\dfrac{I_{1}}{I_{2}} = \dfrac{81}{1}$ We know that, The intensity of maxima is $I_{max} = (\sqrt{I_{1}}+\sqrt{I_{2}})^{2}$ ...(I) Put the value of $I_{1}$ and $I_{2}$ in equation (I) $I_{max} = 100$ The intensity of minima $I_{min} = (\sqrt{I_{1}}-\sqrt{I_{2}})^{2}$ ....(II) Put the value of $I_{1}$ and $I_{2}$ in equation (II) $I_{min} = 64$ Now, the ratio of the intensity of maxima and minima $\dfrac{I_{max}}{I_{min}}= \dfrac{100}{64}$ $\dfrac{I_{max}}{I_{min}}= \dfrac{25}{16}$ Hence, the ratio of the intensity of maxima and minima is 25:16.