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For a particle in uniform circular motion, the acceleration \( \vec{a} \) at a point \( \mathrm{P}(\mathrm{R}, \theta) \) on the circle of radius \( \mathrm{R} \) is (Here \( \theta \) is measured from the \( \mathrm{x} \)-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) \( -\frac{v^{2}}{R} \cos \theta \hat{i}-\frac{v^{2}}{R} \sin \theta \hat{j} \)
(d) \( \frac{v^{2}}{R} \hat{i}+\frac{v^{2}}{R} \hat{j} \)
\( \mathrm{P} \)
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