A particle is executing uniform circular motion with velocity and acceleration . Which of the following is true? [2023]

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Q.
A particle is executing uniform circular motion with velocity $\vec{v}$ and acceleration $\vec{a}$ . Which of the following is true [2023]

1 $\vec{v}$ is a constant; $\vec{a}$ is not a constant

2 $\vec{v}$ is not a constant; $\vec{a}$ is not a constant

3 $\vec{v}$ is a constant; $\vec{a}$ is a constant

4 $\vec{v}$ is not a constant; $\vec{a}$ is a constant

Ans.
(2)

Direction of velocity is changing so it is not a constant and centripetal acceleration changes continuously as $\vec{v}$ is not constant and therefore $\vec{a}$ is also not constant.

Solution

Q.
A particle is executing uniform circular motion with velocity $\vec{v}$ and acceleration $\vec{a}$ . Which of the following is true [2023]

1 $\vec{v}$ is a constant; $\vec{a}$ is not a constant

2 $\vec{v}$ is not a constant; $\vec{a}$ is not a constant

3 $\vec{v}$ is a constant; $\vec{a}$ is a constant

4 $\vec{v}$ is not a constant; $\vec{a}$ is a constant

Ans.
(2)

Direction of velocity is changing so it is not a constant and centripetal acceleration changes continuously as $\vec{v}$ is not constant and therefore $\vec{a}$ is also not constant.

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Solution

Q. A particle is executing uniform circular motion with velocity v→ and acceleration a→. Which of the following is true [2023]

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

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

3 v→ is a constant; a→ is a constant

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

Ans. (2) Direction of velocity is changing so it is not a constant and centripetal acceleration changes continuously as v→ is not constant and therefore a→ is also not constant.

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Q.
A particle is executing uniform circular motion with velocity $\vec{v}$ and acceleration $\vec{a}$ . Which of the following is true [2023]

1 $\vec{v}$ is a constant; $\vec{a}$ is not a constant

2 $\vec{v}$ is not a constant; $\vec{a}$ is not a constant

3 $\vec{v}$ is a constant; $\vec{a}$ is a constant

4 $\vec{v}$ is not a constant; $\vec{a}$ is a constant

Ans.
(2)

Direction of velocity is changing so it is not a constant and centripetal acceleration changes continuously as $\vec{v}$ is not constant and therefore $\vec{a}$ is also not constant.