The superposing waves are represented by the following equations :${y_1} = 5\sin 2\pi (10\,t - 0.1x)$, ${y_2} = 10\sin 2\pi (20\,t - 0.2x)$ Ratio of intensities $\frac{{{I_{\max }}}}{{{I_{\min }}}}$ will be
AIIMS 1995, Medium
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(b) ${a_1} = 5,\,\,{a_2} = 10$
$ \Rightarrow $$\frac{{{I_{\max }}}}{{{I_{\min }}}} = \frac{{{{({a_1} + {a_2})}^2}}}{{{{({a_1} - {a_2})}^2}}} = {\left( {\frac{{5 + 10}}{{5 - 10}}} \right)^2} = \frac{9}{1}$
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