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

A particle is executing uniform circular motion with velocity $\vec{v}$ and acceleration $\vec{a}$. Which of the following is true?
  1. $\vec{v}$ is a constant; $\vec{a}$ is a constant
  2. $\vec{v}$ is not a constant; $\vec{a}$ is a constant
  3. $\vec{v}$ is a constant; $\vec{a}$ is not a constant
  4. $\vec{v}$ is not a constant; $\vec{a}$ is not a constant

Solution

$\vec{v}$ is not a constant; $\vec{a}$ is not a constant In uniform circular motion $\vec{v}$ keeps changing at every instant while magnitude of a remains same but its direction keeps changing. Thus $\vec{a}$ is also not constant.

Asked in: NEET 2023 (Manipur)

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