Oscillations

JEE Main level, single correct, medium

68 of 194

Question 68 of 194

Two simple harmonic motions are represented by the equation y1=0.1\mathrm{y}_1=0.1 sin⁡(100πt+π3)\sin \left(100 \pi t+\frac{\pi}{3}\right) and y2=0.1cos⁡πty_2=0.1 \cos \pi t. The phase difference of the velocity of particle 1 w.r.t. the velocity of the particle 2 is

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Answer: (A) −π/6-\pi / 6

Phase difference (ϕ)=99πt+π/3−π/2(\phi)=99 \pi \mathrm{t}+\pi / 3-\pi / 2 at t=0,ϕ=−π/6t=0, \phi=-\pi / 6.

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