A particle is executing uniform circular motion with velocity v→ and acceleration a→. Which of the following is true?

v → is a constant a → is a constant

A particle is executing uniform circular motion with velocity v→ and acceleration a→. Which of the following is true?

v → is a constant a → is a constant

v → is not a constant a → is not a constant

v → is a constant a → is a constant

v → is a constant; a → is not a constant

v → is not a constant a → is a constant

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A particle is executing uniform circular motion with velocity $\vec{v}$ and acceleration $\vec{a}$ . Which of the following is true?

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$\vec{v}$ is not a constant $\vec{a}$ is not a constant

$\vec{v}$ is a constant $\vec{a}$ is a constant

$\vec{v}$ is a constant; $\vec{a}$ is not a constant

$\vec{v}$ is not a constant $\vec{a}$ is a constant

answer is B.

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Detailed Solution

In uniform circular motion, velocity magnitude |v| = constant but direction of velocity keep changing. Centripetal acceleration always directed towards centre; hence, its direction keeps on changing.
Hence, both $\vec{v} and \vec{a}$ are not constant.