The intensity ratio of two waves is $1 : 16$. The ratio of their amplitudes is
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$\frac{{{I_1}}}{{{I_2}}} = {\left( {\frac{{{a_1}}}{{{a_2}}}} \right)^2} = \frac{1}{{16}} \Rightarrow \frac{{{a_1}}}{{{a_2}}} = \frac{1}{4}$
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