Q.

Statement I : Centripetal acceleration is always directed towards the centre of rotation of an object undergoing uniform circular motion.Statement II: For uniform circular motion centripetal acceleration is a constant vector.

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a

If both statement I and statement II are true and statement II is the correct explanation of statement I

b

If both statement I and statement II are true but statement II is not the correct explanation of statement I

c

If statement I is true but statement II is false

d

If both statement I and statement II are false.

answer is C.

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Detailed Solution

Centripetal acceleration = v2RFor uniform circular motion, v and R are constant, the magnitude of the centripetal acceleration is constant. But the direction changes-pointing always towards the centre. Therefore, a centripetal acceleration is not a constant vector.
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Statement I : Centripetal acceleration is always directed towards the centre of rotation of an object undergoing uniform circular motion.Statement II: For uniform circular motion centripetal acceleration is a constant vector.