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SHM as projection of circular motion - class-XI

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Two SHMs are represented by the equations 
$y1=10sin(3\Omega t+\frac{\Omega }{4})$ and
$y2=5[sin3\Omega t+\sqrt{3}cos 3\Omega t]$. their amplitudes and in the ratio

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A
2:1
💡 Explanation:

Compare the given equations with,

$y=a\sin \omega t$

Where a is amplitude of wave

Here, a1 = 10

 a2 = 5

So the ratio is

$\dfrac{{{a} _{1}}}{{{a} _{2}}}=\dfrac{10}{5}=\dfrac{2}{1}$

Or $2:1$

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