Question
Two waves have their amplitudes in the ratio $1 : 9$. The maximum and minimum intensities when they interfere are in the ratio
✓
Answer
(a)$\frac{{{I_{\max }}}}{{{I_{\min }}}} = {\left( {\frac{{\frac{{{a_1}}}{{{a_2}}} + 1}}{{\frac{{{a_1}}}{{{a_2}}} - 1}}} \right)^2} = {\left( {\frac{{\frac{1}{9} + 1}}{{\frac{1}{9} - 1}}} \right)^2} = {\left( {\frac{5}{4}} \right)^2} = \frac{{25}}{{16}}.$
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