Question:
Which one of the following statements is false for a particle moving in a circle with constant angular speed?
Which one of the following statements is false for a particle moving in a circle with constant angular speed?
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Uniform circular motion:
- Velocity $\rightarrow$ tangent
- Acceleration $\rightarrow$ centre
Updated On: May 4, 2026
- linear velocity vector is along the tangent to the circle.
- linear acceleration vector is along the tangent to the circle.
- linear acceleration vector points to the centre of the circle.
- the velocity and acceleration vectors are perpendicular to each other.
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The Correct Option is B
Solution and Explanation
Concept:
In uniform circular motion:
• Velocity is tangential
• Acceleration is centripetal (towards centre)
Step 1: Check each statement.
• (A) True $\rightarrow$ velocity is tangential
• (B) False $\rightarrow$ acceleration is NOT tangential
• (C) True $\rightarrow$ acceleration is towards centre
• (D) True $\rightarrow$ velocity $\perp$ acceleration
Step 2: Conclusion.
\[ \text{Incorrect statement is (B)} \]
• Velocity is tangential
• Acceleration is centripetal (towards centre)
Step 1: Check each statement.
• (A) True $\rightarrow$ velocity is tangential
• (B) False $\rightarrow$ acceleration is NOT tangential
• (C) True $\rightarrow$ acceleration is towards centre
• (D) True $\rightarrow$ velocity $\perp$ acceleration
Step 2: Conclusion.
\[ \text{Incorrect statement is (B)} \]
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