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Simple Harmonic Motion

JEE Main 2021 (Online) 26th August Evening Shift

INTEGER+4 / -12021
Two simple harmonic motions are represented by the equations

\({x_1} = 5\sin \left( {2\pi t + {\pi \over 4}} \right)\) 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.

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