Two simple harmonic motions are represented by the equations

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

The ratio of the amplitudes of \(x_{1}\) and \(x_{2}\) is

[JEE Main 2021, 26 Aug (Shift 2)]

Question

Two simple harmonic motions are represented by the equations

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

The ratio of the amplitudes of \(x_{1}\) and \(x_{2}\) is

[JEE Main 2021, 26 Aug (Shift 2)]

YESPYQ · Accepted Answer

Options are free to see. Unlock the correct answer and full explanation with PYQ Pass.

Two simple harmonic motions are represented by the equations \({x}_{1}=5\sin \left(2\mathrm{πt}+\frac{\pi }{4}\right)\ma…