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Which of the following statements is false for a particle moving in a circle with a constant angular speed?
- a)The acceleration vector points to the centre of the circle.
- b)The acceleration vector is tangent to the circle.
- c)The velocity vector is tangent to the circle.
- d)The velocity and acceleration vectors are perpendiculai to each other.
Correct answer is option 'B'. Can you explain this answer?
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Which of the following statements is false for a particle moving in a ...
In circular motion we know the velocity vector is tangent to the circle. If a particle moves in a circle with constant angular speed it perform uniform circular motion. In uniform circular motion the tangential acceleration of the particle is zero. The particle moves under radial acceleration only which points to the centre of the circle. Hence the velocity and acceleration vectors are perpendicular to each other.
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Which of the following statements is false for a particle moving in a ...
Understanding Circular Motion
In circular motion with constant angular speed, the dynamics of velocity and acceleration are crucial. Let's analyze each statement to understand why option 'B' is false.
Statement Analysis
- a) The acceleration vector points to the centre of the circle.
- This statement is true. In uniform circular motion, the acceleration experienced by the particle is centripetal acceleration, which always points towards the center of the circle.
- b) The acceleration vector is tangent to the circle.
- This statement is false. In uniform circular motion, the acceleration is not tangent to the circle. Instead, it is directed radially inward, towards the center, and does not have a tangential component.
- c) The velocity vector is tangent to the circle.
- This statement is true. The velocity vector of a particle in circular motion is always tangent to the circle at any point, indicating the direction of motion.
- d) The velocity and acceleration vectors are perpendicular to each other.
- This statement is true. In uniform circular motion, the velocity vector (tangent to the circle) and the acceleration vector (pointing towards the center) are perpendicular, as one represents the direction of motion and the other represents the change in direction.
Conclusion
In summary, the only false statement regarding a particle moving in a circle with constant angular speed is option 'B'. The acceleration vector is not tangent to the circle; it is directed towards the center, which is the defining characteristic of centripetal acceleration. Understanding these key concepts is essential for mastering circular motion dynamics in physics.
In circular motion with constant angular speed, the dynamics of velocity and acceleration are crucial. Let's analyze each statement to understand why option 'B' is false.
Statement Analysis
- a) The acceleration vector points to the centre of the circle.
- This statement is true. In uniform circular motion, the acceleration experienced by the particle is centripetal acceleration, which always points towards the center of the circle.
- b) The acceleration vector is tangent to the circle.
- This statement is false. In uniform circular motion, the acceleration is not tangent to the circle. Instead, it is directed radially inward, towards the center, and does not have a tangential component.
- c) The velocity vector is tangent to the circle.
- This statement is true. The velocity vector of a particle in circular motion is always tangent to the circle at any point, indicating the direction of motion.
- d) The velocity and acceleration vectors are perpendicular to each other.
- This statement is true. In uniform circular motion, the velocity vector (tangent to the circle) and the acceleration vector (pointing towards the center) are perpendicular, as one represents the direction of motion and the other represents the change in direction.
Conclusion
In summary, the only false statement regarding a particle moving in a circle with constant angular speed is option 'B'. The acceleration vector is not tangent to the circle; it is directed towards the center, which is the defining characteristic of centripetal acceleration. Understanding these key concepts is essential for mastering circular motion dynamics in physics.
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Which of the following statements is false for a particle moving in a circle with a constant angular speed?a)The acceleration vector points to the centre of the circle.b)The acceleration vector is tangent to the circle.c)The velocity vector is tangent to the circle.d)The velocity and acceleration vectors are perpendiculai to each other.Correct answer is option 'B'. Can you explain this answer?
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Which of the following statements is false for a particle moving in a circle with a constant angular speed?a)The acceleration vector points to the centre of the circle.b)The acceleration vector is tangent to the circle.c)The velocity vector is tangent to the circle.d)The velocity and acceleration vectors are perpendiculai to each other.Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Which of the following statements is false for a particle moving in a circle with a constant angular speed?a)The acceleration vector points to the centre of the circle.b)The acceleration vector is tangent to the circle.c)The velocity vector is tangent to the circle.d)The velocity and acceleration vectors are perpendiculai to each other.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is false for a particle moving in a circle with a constant angular speed?a)The acceleration vector points to the centre of the circle.b)The acceleration vector is tangent to the circle.c)The velocity vector is tangent to the circle.d)The velocity and acceleration vectors are perpendiculai to each other.Correct answer is option 'B'. Can you explain this answer?.
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