The equation of displacement of two waves are given as ${y}_{1}=10\mathrm{sin}\left(3\pi t+\frac{\pi }{3}\right)$; ${y}_{2}=5\left(\mathrm{sin}3\pi t+\sqrt{3}\mathrm{cos}3\pi t\right)$. Then what is the ratio of their amplitudes

(1) 1 : 2

(2) 2 : 1

(3) 1 : 1

(4) None of these

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