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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 velocity vector is tangent to the circle
- b)The acceleration vector is tangent to the circle
- c)The acceleration vector is normal to the plane of circle
- d)The velocity and acceleration vectors are perpendicular to each other
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of the following statements is false for a particle moving in a ...
For a particle moving in a circle with constant angular speed, the velocity vector is always tangent to the circle and the acceleration vector always points towards the centre of the circle or is always along the radius of the circle. Since, the tangential vector is perpendicular to radial vector, therefore, velocity vector will be perpendicular to the acceleration vector. But in no case acceleration vector is tangent to the circle.
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Which of the following statements is false for a particle moving in a ...
False Statement for a Particle Moving in a Circle with Constant Angular Speed
Explanation:
When a particle moves in a circle with a constant angular speed, there are certain characteristics of its motion that can be observed. Let's analyze each statement given and determine which one is false.
a) The velocity vector is tangent to the circle:
This statement is true. The velocity vector of a particle moving in a circle is always tangent to the circle at any point. The direction of the velocity vector is always changing, but its magnitude remains constant.
b) The acceleration vector is tangent to the circle:
This statement is false. The acceleration vector of a particle moving in a circle is directed towards the center of the circle. This acceleration is called centripetal acceleration. It is responsible for keeping the particle moving in a circular path and is always perpendicular to the velocity vector.
c) The acceleration vector is normal to the plane of the circle:
This statement is true. The acceleration vector of a particle moving in a circle is always directed towards the center of the circle and is perpendicular to the plane of the circle. This means that the acceleration vector lies in a direction perpendicular to the plane of motion.
d) The velocity and acceleration vectors are perpendicular to each other:
This statement is true. The velocity vector and the acceleration vector of a particle moving in a circle are always perpendicular to each other. The velocity vector is directed tangent to the circle, while the acceleration vector is directed towards the center of the circle. Since these two vectors are at right angles to each other, they are perpendicular.
Therefore, the false statement is option b) The acceleration vector is tangent to the circle. The acceleration vector of a particle moving in a circle is always directed towards the center of the circle, not tangent to it.
Explanation:
When a particle moves in a circle with a constant angular speed, there are certain characteristics of its motion that can be observed. Let's analyze each statement given and determine which one is false.
a) The velocity vector is tangent to the circle:
This statement is true. The velocity vector of a particle moving in a circle is always tangent to the circle at any point. The direction of the velocity vector is always changing, but its magnitude remains constant.
b) The acceleration vector is tangent to the circle:
This statement is false. The acceleration vector of a particle moving in a circle is directed towards the center of the circle. This acceleration is called centripetal acceleration. It is responsible for keeping the particle moving in a circular path and is always perpendicular to the velocity vector.
c) The acceleration vector is normal to the plane of the circle:
This statement is true. The acceleration vector of a particle moving in a circle is always directed towards the center of the circle and is perpendicular to the plane of the circle. This means that the acceleration vector lies in a direction perpendicular to the plane of motion.
d) The velocity and acceleration vectors are perpendicular to each other:
This statement is true. The velocity vector and the acceleration vector of a particle moving in a circle are always perpendicular to each other. The velocity vector is directed tangent to the circle, while the acceleration vector is directed towards the center of the circle. Since these two vectors are at right angles to each other, they are perpendicular.
Therefore, the false statement is option b) The acceleration vector is tangent to the circle. The acceleration vector of a particle moving in a circle is always directed towards the center of the circle, not tangent to it.
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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 velocity vector is tangent to the circle b)The acceleration vector is tangent to the circle c)The acceleration vector is normal to the plane of 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 velocity vector is tangent to the circle b)The acceleration vector is tangent to the circle c)The acceleration vector is normal to the plane of circle d)The velocity and acceleration vectors are perpendicular to each other Correct answer is option 'B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 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 velocity vector is tangent to the circle b)The acceleration vector is tangent to the circle c)The acceleration vector is normal to the plane of 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 Class 11 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 velocity vector is tangent to the circle b)The acceleration vector is tangent to the circle c)The acceleration vector is normal to the plane of 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 velocity vector is tangent to the circle b)The acceleration vector is tangent to the circle c)The acceleration vector is normal to the plane of circle d)The velocity and acceleration vectors are perpendicular to each other Correct answer is option 'B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 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 velocity vector is tangent to the circle b)The acceleration vector is tangent to the circle c)The acceleration vector is normal to the plane of 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 Class 11 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 velocity vector is tangent to the circle b)The acceleration vector is tangent to the circle c)The acceleration vector is normal to the plane of 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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