Two simple harmonic motions are represented by the equations x₁ = 5 sin (2π t + (π)/4) and x₂ = 5 2 (sin 2π t + cos 2π t). The amplitude of second motion is................ times the amplitude in first motion.

Oscillations and Waves: JEE Main 2021 Physics question

JEE Main 2021 · 26 Aug, Evening shift · Q63

JEE Main 202126 Aug, Evening shiftPhysicsMediumOscillations and Waves185× since 2002

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.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 Oscillations and Waves Question with Answer (26 Aug Evening shift, Q63) | JEE Arc

JEE Main 2021 · 26 Aug, Evening shift · Q63

JEE Main 202126 Aug, Evening shiftPhysicsMediumOscillations and Waves185× since 2002

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.

Your answerType your answer. Integers and decimals are accepted.