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JEE PHYSICS MCQ: OSCILLATIONS

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A block of mass one kg\mathrm{kg} is fastened to a spring with a spring constant 50 Nm−150 \mathrm{~Nm}^{-1}. The block is pulled to a distance x=10 cmx=10 \mathrm{~cm} from its equilibrium position at x=0x=0 on a frictionless surface from rest at t=0t=0. Write the expression for its x(t)x(t) and v(t)v(t).
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Correct option: A
0.707cos⁡7.07t ms−10.707 \cos 7.07 t \mathrm{~ms}^{-1}
Option A (0.707cos⁡7.07t ms−10.707 \cos 7.07 t \text{{ ms}}^{-1}) is correct because it represents the velocity of the block as a function of time, derived from simple harmonic motion equations.

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