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Assertion : Average velocity can’t be ze...

Assertion : Average velocity can’t be zero in case of uniform acceleration.
Reason : For average velocity to be zero, a non zero velocity should not remain constant.

A

If the both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states: "Average velocity can’t be zero in case of uniform acceleration." - **Analysis**: Average velocity is defined as the total displacement divided by the total time taken. For average velocity to be zero, the displacement must be zero. This can happen if the object returns to its starting point after some time, even under uniform acceleration. Therefore, the assertion is **false**. ### Step 2: Understand the Reason The reason states: "For average velocity to be zero, a non-zero velocity should not remain constant." - **Analysis**: If an object has a constant non-zero velocity, it means it is moving at a steady speed in a straight line. In this case, the displacement is not changing in a way that would allow the average velocity to be zero. Thus, for the average velocity to be zero, the object must experience a change in velocity (i.e., it must accelerate or decelerate). Hence, the reason is **true**. ### Step 3: Conclusion - The assertion is false because average velocity can indeed be zero in cases of uniform acceleration (like returning to the starting point). - The reason is true because a constant non-zero velocity does not allow for an average velocity of zero. ### Final Answer The assertion is false, and the reason is true. Therefore, the correct conclusion is that the assertion does not support the reason. ---

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states: "Average velocity can’t be zero in case of uniform acceleration." - **Analysis**: Average velocity is defined as the total displacement divided by the total time taken. For average velocity to be zero, the displacement must be zero. This can happen if the object returns to its starting point after some time, even under uniform acceleration. Therefore, the assertion is **false**. ### Step 2: Understand the Reason ...
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Knowledge Check

  • 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.

    A
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    B
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    C
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    D
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  • Assertion : The average and instantaneous velocities have same value in a uniform motion. Reason : In uniform motion, the velocity of an object increases uniformly

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    B
    Both assertion and reason are true but reason is not the correct explanations of assertion.
    C
    Assertion is true but reason is false.
    D
    Both assertion and reason is false
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