The two interfering waves have intensities in the ratio 9 : 4. The ratio of intensities of maxima and minima in the interference pattern will be

(1) 1 : 25

(2) 25 : 1

(3) 9 : 4

(4) 4 : 9

(2) $\frac{{I}_{\mathrm{max}}}{{I}_{\mathrm{min}}}={\left(\frac{\sqrt{\frac{{I}_{1}}{{I}_{2}}}+1}{\frac{\sqrt{{I}_{1}}}{\sqrt{{I}_{2}}}-1}\right)}^{2}={\left(\frac{\sqrt{\frac{9}{4}}+1}{\sqrt{\frac{9}{4}}-2}\right)}^{2}=\frac{25}{1}$

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