List of top Physics Questions on Waves and Oscillations asked in UPSEE

Two SHM are represented by the equations $x_{1}=20 \sin \left[5 \pi t+\frac{\pi}{4}\right]$ and $x_{2}=10(\sin 5 \pi t+\sqrt{3} \cos 5 \pi t)$ The ratio of the amplitudes of the two motions is

A string has a length of 5m between fixed points and has fundamental frequency of 20 Hz. What is the frequency of the second overtone ?