The relation between time and displacement for two particles is given by
${y_1} = 0.06\sin 2\pi (1.04t + {\phi _1})$,
${y_2} = 0.03\sin 2\pi (1.04t + {\phi _2})$
The ratio of the intensity of the waves produced by the vibrations of the two particles will be
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(c) $\frac{{{I_1}}}{{{I_2}}} = \frac{{a_1^2}}{{a_2^2}} = {\left( {\frac{{0.06}}{{0.03}}} \right)^2} = \frac{4}{1}$
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