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Assertion: If velocity of a particle at ...

Assertion: If velocity of a particle at a certain instant is zero then its acceleration must also be zero at the same instant.
Reason: When a particle is projected upward under gravity then at the top point its instantaneous velocity becomes zero.

A

both assertion and reason are correct and reason is a correct explanation of the assertion.

B

both assertion and reason are correct but reason is not the correct explanation of assertion.

C

assertion is correct but reason is incorrect

D

assertion is incorrect but reason is correct.

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • A : When the velocity of an object is zero at an instant, the acceleration need not be zero at that instant. R : In motion under gravity, the velocity of body is zero at the top - most point.

    A
    If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).
    B
    If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).
    C
    If Assertion is true statement but Reason is false, then mark (3).
    D
    If both Assertion and Reason are false statement, then mark (4).

  • The average velocity of a particle moving on a straight line is zero in a time interval. Assertion :- It is possible that the instantaneous acceleration is never zero in the interval. Reason :- It is possible that the instantaneous velocity is never zero in the interval.

    A
    If both Assertion & Reason are True & the Reason is a correct explanation of the Assertion.
    B
    If both Assertion & Reason are True but Reason is not a correct explanation of the Assertiion.
    C
    If Assertion is True but the Reason is False.
    D
    If both Assertion & Reason are False

  • Statement-1: When velocity of a particle is zero then acceleration of particle must be zero at that instant Statement-2: Acceleration is equal to a= v ((dv)/(dx)) , where v is the velocity at that instant .

    A
    Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1
    B
    Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement-1.
    C
    Statement-1 is true, Statement-2 is false
    D
    Statement-1 is false, Statement-2 is true

    • Similar Questions

    Explore conceptually related problems

    Assertion: The average velocity of a particle is zero in a time interval. It is possible that the instantaneous acceleration is never zero in the interval. Reason: The magnitude of average velocity in an interval is equal to its average speed in that interval.

    Statement-I : When velocity of a particle is zero then acceleration of particle is zero. Statement-II : Acceleration is equal to rate of change of velocity.

    Assertion :- A particle having zero acceleration must have constant speed. Reason :- A Particle having constant speed must have zero acceleration.

    In simple harmonic motion, acceleration of the particle is zero, when its

    Assertion : A particle may be momentarily at rest and yet have non-zero acceleration. Reason : The zero velocity of a particle at any instant does not necessarily imply zero acceleration at that instant.

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