For a particle in uniform anti clockwise circular motion, the acceleration a→ at a point P(R,θ) on the circle of radius R is (Here θ is measured from the x-axis)

# For a particle in uniform anti clockwise circular motion, the acceleration $\stackrel{\to }{a}$ at a point $P\left(R,\theta \right)$ on the circle of radius R is (Here $\theta$ is measured from the x-axis)

1. A

$\frac{{v}^{2}}{R}\stackrel{^}{i}+\frac{{v}^{2}}{R}\stackrel{^}{j}$

2. B

$\frac{-{v}^{2}}{R}\mathrm{cos}\theta \stackrel{^}{i}+\frac{{v}^{2}}{R}\mathrm{sin}\theta \stackrel{^}{j}$

3. C

$\frac{-{v}^{2}}{R}\mathrm{sin}\theta \stackrel{^}{i}+\frac{{v}^{2}}{R}\mathrm{cos}\theta \stackrel{^}{j}$

4. D

$\frac{-{v}^{2}}{R}\mathrm{cos}\theta \stackrel{^}{i}-\frac{{v}^{2}}{R}\mathrm{sin}\theta \stackrel{^}{j}$

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### Solution:

For a particle in uniform circular motion,

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