Class 11 Exam > Class 11 Questions > Which of the following statements not true?a)...
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Which of the following statements not true?
- a)The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point
- b)The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector
- c)The net acceleration of a particle in uniform circular motion is always along the radius of the circle towards the centre
- d)The net acceleration of a particle in circular motion is always along the radius of the circle towards the centre
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following statements not true?a)The velocity vector of a ...
Explanation:The net acceleration of a particle in circular motion is along the radius of the circle towards the centre Only in case of uniform circular motion.
This question is part of UPSC exam. View all Class 11 courses
Most Upvoted Answer
Which of the following statements not true?a)The velocity vector of a ...
**Explanation:**
The correct answer is option D: "The net acceleration of a particle in circular motion is always along the radius of the circle towards the center."
Let's break down each statement and discuss why option D is not true:
a) The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point.
- This statement is true. The velocity vector of a particle represents the direction and magnitude of its motion at a specific point. The tangent to the path of the particle at that point gives the direction of motion.
b) The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector.
- This statement is true. In uniform circular motion, the speed of the particle remains constant, but its direction changes continuously. As a result, the average acceleration over one complete cycle is zero because the particle returns to its initial position with the same speed.
c) The net acceleration of a particle in uniform circular motion is always along the radius of the circle towards the center.
- This statement is true. In uniform circular motion, the net acceleration of a particle is directed towards the center of the circle. This centripetal acceleration is responsible for keeping the particle moving in a circular path and preventing it from moving in a straight line.
d) The net acceleration of a particle in circular motion is always along the radius of the circle towards the center.
- This statement is not true. Circular motion can be divided into two types: uniform circular motion and non-uniform circular motion. In uniform circular motion, the net acceleration is always directed towards the center of the circle. However, in non-uniform circular motion, the net acceleration can have components both along the radius towards the center and perpendicular to the radius. This tangential acceleration is responsible for changes in the speed of the particle.
Therefore, option D is the correct answer because the net acceleration in circular motion can have components along the radius and tangential to the motion, depending on whether it is uniform or non-uniform circular motion.
The correct answer is option D: "The net acceleration of a particle in circular motion is always along the radius of the circle towards the center."
Let's break down each statement and discuss why option D is not true:
a) The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point.
- This statement is true. The velocity vector of a particle represents the direction and magnitude of its motion at a specific point. The tangent to the path of the particle at that point gives the direction of motion.
b) The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector.
- This statement is true. In uniform circular motion, the speed of the particle remains constant, but its direction changes continuously. As a result, the average acceleration over one complete cycle is zero because the particle returns to its initial position with the same speed.
c) The net acceleration of a particle in uniform circular motion is always along the radius of the circle towards the center.
- This statement is true. In uniform circular motion, the net acceleration of a particle is directed towards the center of the circle. This centripetal acceleration is responsible for keeping the particle moving in a circular path and preventing it from moving in a straight line.
d) The net acceleration of a particle in circular motion is always along the radius of the circle towards the center.
- This statement is not true. Circular motion can be divided into two types: uniform circular motion and non-uniform circular motion. In uniform circular motion, the net acceleration is always directed towards the center of the circle. However, in non-uniform circular motion, the net acceleration can have components both along the radius towards the center and perpendicular to the radius. This tangential acceleration is responsible for changes in the speed of the particle.
Therefore, option D is the correct answer because the net acceleration in circular motion can have components along the radius and tangential to the motion, depending on whether it is uniform or non-uniform circular motion.
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Which of the following statements not true?a)The velocity vector of a particle at a point is always along the tangent to the path of the particle at that pointb)The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vectorc)The net acceleration of a particle in uniform circular motion is always along the radius of the circle towards the centred)The net acceleration of a particle in circular motion is always along the radius of the circle towards the centreCorrect answer is option 'D'. Can you explain this answer?
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Which of the following statements not true?a)The velocity vector of a particle at a point is always along the tangent to the path of the particle at that pointb)The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vectorc)The net acceleration of a particle in uniform circular motion is always along the radius of the circle towards the centred)The net acceleration of a particle in circular motion is always along the radius of the circle towards the centreCorrect answer is option 'D'. 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 not true?a)The velocity vector of a particle at a point is always along the tangent to the path of the particle at that pointb)The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vectorc)The net acceleration of a particle in uniform circular motion is always along the radius of the circle towards the centred)The net acceleration of a particle in circular motion is always along the radius of the circle towards the centreCorrect answer is option 'D'. 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 not true?a)The velocity vector of a particle at a point is always along the tangent to the path of the particle at that pointb)The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vectorc)The net acceleration of a particle in uniform circular motion is always along the radius of the circle towards the centred)The net acceleration of a particle in circular motion is always along the radius of the circle towards the centreCorrect answer is option 'D'. Can you explain this answer?.
Which of the following statements not true?a)The velocity vector of a particle at a point is always along the tangent to the path of the particle at that pointb)The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vectorc)The net acceleration of a particle in uniform circular motion is always along the radius of the circle towards the centred)The net acceleration of a particle in circular motion is always along the radius of the circle towards the centreCorrect answer is option 'D'. 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 not true?a)The velocity vector of a particle at a point is always along the tangent to the path of the particle at that pointb)The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vectorc)The net acceleration of a particle in uniform circular motion is always along the radius of the circle towards the centred)The net acceleration of a particle in circular motion is always along the radius of the circle towards the centreCorrect answer is option 'D'. 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 not true?a)The velocity vector of a particle at a point is always along the tangent to the path of the particle at that pointb)The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vectorc)The net acceleration of a particle in uniform circular motion is always along the radius of the circle towards the centred)The net acceleration of a particle in circular motion is always along the radius of the circle towards the centreCorrect answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice Which of the following statements not true?a)The velocity vector of a particle at a point is always along the tangent to the path of the particle at that pointb)The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vectorc)The net acceleration of a particle in uniform circular motion is always along the radius of the circle towards the centred)The net acceleration of a particle in circular motion is always along the radius of the circle towards the centreCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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