Two simple harmonic motions are represented by \[ \begin{array}{l} ...

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Two simple harmonic motions are represented by
\[
\begin{array}{l}
y_{1}=5(\sin 2 \pi t+\sqrt{3} \cos 2 \pi t) \\
y_{2}=5 \sin \left(2 \pi t+\frac{\pi}{4}\right)
\end{array}
\]
\( \mathrm{P} \)
The ratio of the amplitudes of two SHM's is
[DCE 2009; KCET 2010]
(a) \( 1: 1 \)
(b) \( 1: 2 \)
(c) \( 2: 1 \)
(d) \( 1: \sqrt{3} \)
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