Two simple harmonic motions are represented by the equations

${x}_{1}=5 \sin \left(2 \pi {t}+\frac{\pi}{4}\right)$ and ${x}_{2}=5 \sqrt{2}(\sin 2 \pi {t}+\cos 2 \pi {t})$

The amplitude of second motion is ....... times the amplitude in first motion.

  • A$8$
  • B$2$
  • C$10$
  • D$5$
JEE MAIN 2021, Medium
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