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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 perpendicular to each other.
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Which of the following statements is FALSE for a particle moving in a...
False Statement: The acceleration vector is tangent to the circle.
Explanation:
When a particle moves in a circle with a constant angular speed, it undergoes circular motion. In circular motion, the particle moves along the circumference of the circle, and its velocity and acceleration vectors have specific directions.
Velocity Vector:
The velocity vector of a particle in circular motion is always tangent to the circle. This means that the direction of the velocity vector is always perpendicular to the radius at any point on the circle. The magnitude of the velocity vector remains constant if the angular speed is constant.
Acceleration Vector:
The acceleration vector of a particle in circular motion is directed towards the center of the circle. This means that the acceleration vector points in the same direction as the radius of the circle. The magnitude of the acceleration vector depends on the speed of the particle and the radius of the circle.
Explanation of the False Statement:
The false statement is option (b) - "The acceleration vector is tangent to the circle." This statement is incorrect because the acceleration vector is not tangent to the circle. As mentioned earlier, the acceleration vector is directed towards the center of the circle, which is perpendicular to the velocity vector.
Visualization:
To visualize this, imagine a particle moving in a circular path with a constant angular speed. At any point on the circle, draw the velocity vector tangent to the circle and the acceleration vector pointing towards the center of the circle. You will observe that these vectors are perpendicular to each other.
Conclusion:
In summary, the false statement is that the acceleration vector is tangent to the circle. The correct statement is that the acceleration vector points towards the center of the circle, while the velocity vector is tangent to the circle.
Explanation:
When a particle moves in a circle with a constant angular speed, it undergoes circular motion. In circular motion, the particle moves along the circumference of the circle, and its velocity and acceleration vectors have specific directions.
Velocity Vector:
The velocity vector of a particle in circular motion is always tangent to the circle. This means that the direction of the velocity vector is always perpendicular to the radius at any point on the circle. The magnitude of the velocity vector remains constant if the angular speed is constant.
Acceleration Vector:
The acceleration vector of a particle in circular motion is directed towards the center of the circle. This means that the acceleration vector points in the same direction as the radius of the circle. The magnitude of the acceleration vector depends on the speed of the particle and the radius of the circle.
Explanation of the False Statement:
The false statement is option (b) - "The acceleration vector is tangent to the circle." This statement is incorrect because the acceleration vector is not tangent to the circle. As mentioned earlier, the acceleration vector is directed towards the center of the circle, which is perpendicular to the velocity vector.
Visualization:
To visualize this, imagine a particle moving in a circular path with a constant angular speed. At any point on the circle, draw the velocity vector tangent to the circle and the acceleration vector pointing towards the center of the circle. You will observe that these vectors are perpendicular to each other.
Conclusion:
In summary, the false statement is that the acceleration vector is tangent to the circle. The correct statement is that the acceleration vector points towards the center of the circle, while the velocity vector is tangent to the circle.
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Community Answer
Which of the following statements is FALSE for a particle moving in a...
Acceleration vector is always radial (i.e. towards the center) for uniform circular motion.
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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 circleb)The acceleration vector is tangent to the circlec)The velocity vector is tangent to the circle (d) The velocity and acceleration vectors are perpendicular 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 circleb)The acceleration vector is tangent to the circlec)The velocity vector is tangent to the circle (d) The velocity and acceleration vectors are perpendicular to each other.Correct answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET 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 circleb)The acceleration vector is tangent to the circlec)The velocity vector is tangent to the circle (d) The velocity and acceleration vectors are perpendicular to each other.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 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 circleb)The acceleration vector is tangent to the circlec)The velocity vector is tangent to the circle (d) The velocity and acceleration vectors are perpendicular to each other.Correct answer is option 'B'. Can you explain this answer?.
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 circleb)The acceleration vector is tangent to the circlec)The velocity vector is tangent to the circle (d) The velocity and acceleration vectors are perpendicular to each other.Correct answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET 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 circleb)The acceleration vector is tangent to the circlec)The velocity vector is tangent to the circle (d) The velocity and acceleration vectors are perpendicular to each other.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 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 circleb)The acceleration vector is tangent to the circlec)The velocity vector is tangent to the circle (d) The velocity and acceleration vectors are perpendicular 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 circleb)The acceleration vector is tangent to the circlec)The velocity vector is tangent to the circle (d) The velocity and acceleration vectors are perpendicular to each other.Correct answer is option 'B'. Can you explain this answer?, a detailed solution 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 circleb)The acceleration vector is tangent to the circlec)The velocity vector is tangent to the circle (d) The velocity and acceleration vectors are perpendicular to each other.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of 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 circleb)The acceleration vector is tangent to the circlec)The velocity vector is tangent to the circle (d) The velocity and acceleration vectors are perpendicular to each other.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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