Equation of displacement of two waves are given as {y₁} = 10,sin ,left( {3π t, + ,π /3,} r

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14.Waves and Sound

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The equation of displacement of two waves are given as ${y_1} = 10\,\sin \,\left( {3\pi t\, + \,\pi /3\,} \right)$ , ${y_2} = 5\,\left( {\sin \,3\pi t + \,\sqrt 3 \,\cos \,3\pi t} \right)$ , then what is the ratio of their amplitude

A

$1 : 2$

B

$2 : 1$

C

$1 : 1$

D

None of these

Solution

$A_{1}=10$

$A=\sqrt{5^{2}+(5 \sqrt{3})^{2}}=10$

$=\frac{\mathrm{A}_{1}}{\mathrm{A}}=\frac{10}{10}=1$

Standard 11

Physics

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