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For a particle in uniform circular motion the acceleration $\overrightarrow{a}$ at a point $P (R, \theta)$ on the circle of radius R is (here $\theta$ is measured from the x-axis)

( A ) $-\frac{v^2}{R} \cos \theta \hat{i} - \frac{v^2}{R} \sin \theta \hat{j}$
( B ) $-\frac{v^2}{R} \sin \theta \hat{i} + \frac{v^2}{R} \cos \theta \hat{j}$
( C ) $\frac{v^2}{R} \hat{i} + \frac{v^2}{R} \hat{j}$
( D ) $-\frac{v^2}{R} \cos \theta \hat{i} + \frac{v^2}{R} \sin \theta \hat{j}$

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