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Assertion: Centripetal acceleration is a...

Assertion: Centripetal acceleration is always direction towards the centre of rotation of an object undergoing uniform circular motion
Reason: Centripetal acceleration is a constant vector

A

If both the assertion and reason are true and reason is a true explantion of the assertion.

B

If both the assertion and reason are true but the reason is not true the correct explantion of the assertion.

C

If the assertion is true but reason false

D

If both the assertion and reason are false.

Text Solution

Verified by Experts

The correct Answer is:
c
Centripetal accleration `=(v^(2))/R`
For uniform circular motion, v and R are constant, the magnitude of the centripetal acceleration is constants. But the direction change-pointing always towards the centre. Therefore, a centripetal acceleration is not a constant vector.
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Knowledge Check

  • In a uniform circular motion, the centripetal acceleration is

    A
    Towards the centre of the circular path and perpendicular to the instantaneous velocity
    B
    Away from the centre of the circular path and perpendicular to the instantaneous velocity
    C
    A variable acceleration making `45^@` with the instantaneous velocity
    D
    A variable acceleration , parallel to the instantaneous velocity

  • If an object undergoes a uniform circular motion, then its

    A
    acceleration remains uniform
    B
    velocity changes
    C
    speed changes
    D
    velcoity remains uniform

  • For a particle in circular motion the centripetal acceleration is

    A
    Less than its tangential acceleration
    B
    Equal to its tangential acceleration
    C
    More than its tangential acceleration
    D
    May be more or less than its tangential acceleration

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