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Two simple harmonic motions are represen...

Two simple harmonic motions are represented by the equations
`y_(1) = 10 sin(3pit + pi//4) and y_(2) = 5(sin 3pit + sqrt(3)cos 3pit)` their amplitude are in the ratio of ………… .

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The correct Answer is:
A

`y_(1) = 10 sin (3pit + pi//4)` …(i)
`y_(2) = 5 sin 3pit + 5sqrt(3) cos 3pit` …(ii)
:. Y_(2) = 5 xx 2 [((1)/(2) sin 3pit + sqrt(3)/(2)] = 10 sin(3pit + pi//3)`
The ratio of amplitude is `10: 10 = 1,1`
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