For a periodic motion represented by the equation y = sin ω t + cos ω t the amplitude of the motion is (a) 1 (b) √(2) (c) 0.5 (d) 2

Answer: (b). For asin ω t + bcos ω t, amplitude = √(a² + b²). √(1² + 1²) = √(2), i.e. y = √(2)sin (ω t + π/4). So the answer is (b) √(2).

For a periodic motion represented by the equation y = sin ω t + cos ω… | JEE Main 2023 (10 Apr, Shift 2)

Q33JEE Main 2023 · 10 APR · SHIFT 2Medium

Periodic Motion & SHM Basics

For a periodic motion represented by the equation

$y = \sin \omega t + \cos \omega t$

the amplitude of the motion is

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Answer: (b)

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