Two simple harmonic motions are represented by the equations $x_{1}=5 \sin \left(2 \pi t+\frac{\pi}{4}\right), x_{2}=5 \sqrt{2}(\sin 2 \pi t+\cos 2 \pi t)$ The ratio of the amplitude of $x_{1}$ and $x_{2}$ is
  • A$1:1$
  • B$1: \sqrt{2}$
  • C

    $1: 2$

  • D$1: 2 \sqrt{2}$
AIIMS 2019, Medium
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