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JEE PHYSICS MCQ: OSCILLATIONS

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A particle having mass 10 g10 \mathrm{~g} oscillates according to the equation x=(2.0 cm)sin⁡[(100 s−1)t+π/6]x=(2.0 \mathrm{~cm}) \sin \left[\left(100 \mathrm{~s}^{-1}\right) t+\pi / 6\right]. Find the position, the velocity and the acceleration at t=0.t=0.
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Correct option: A
1.0 cm,1.73 m s−1,100 m s−21.0 \mathrm{~cm}, 1.73 \mathrm{~m} \mathrm{~s}^{-1}, 100 \mathrm{~m} \mathrm{~s}^{-2}
Option A (1.0 cm, 1.73 m s⁻¹, 100 m s⁻²) is correct because it correctly calculates the position, velocity, and acceleration at t=0 using the given equation.

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