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A particle move along a circular arc of radius R making an angle of θ at center. The magnitude of displacement is: 1) 2Rsinθ/2. 2) 2Rsinθ. 3) Rsinθ/2. 4) Rsinθ? Correct option is A can you explain how?
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A particle move along a circular arc of radius R making an angle of θ ...
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A particle move along a circular arc of radius R making an angle of θ ...
Explanation:
- Displacement: The displacement is the shortest distance between the initial and final positions of the particle. In circular motion, the displacement is represented by a straight line drawn from the initial position to the final position, passing through the center of the circle.
- Formula: The magnitude of displacement can be calculated using the formula:
Displacement = 2Rsin(θ/2)where R is the radius of the circle and θ is the angle made by the particle at the center of the circle. - Explanation of formula: The formula is derived as follows:
- Consider a circular arc of radius R, making an angle θ at the center.
- Draw a line perpendicular to the chord passing through the center of the circle.
- The length of this perpendicular line is Rsin(θ/2).
- Since the displacement is the shortest distance between the initial and final positions, the magnitude of displacement is equal to twice the length of this perpendicular line.
- Therefore, Displacement = 2Rsin(θ/2).
- Answer: Using the formula, Displacement = 2Rsin(θ/2) = 2Rsin(θ/2) = Rsinθ.
- Correct option: Option A, i.e., 2Rsinθ/2, is the correct option.
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A particle move along a circular arc of radius R making an angle of θ at center. The magnitude of displacement is: 1) 2Rsinθ/2. 2) 2Rsinθ. 3) Rsinθ/2. 4) Rsinθ? Correct option is A can you explain how?
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A particle move along a circular arc of radius R making an angle of θ at center. The magnitude of displacement is: 1) 2Rsinθ/2. 2) 2Rsinθ. 3) Rsinθ/2. 4) Rsinθ? Correct option is A can you explain how? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle move along a circular arc of radius R making an angle of θ at center. The magnitude of displacement is: 1) 2Rsinθ/2. 2) 2Rsinθ. 3) Rsinθ/2. 4) Rsinθ? Correct option is A can you explain how? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle move along a circular arc of radius R making an angle of θ at center. The magnitude of displacement is: 1) 2Rsinθ/2. 2) 2Rsinθ. 3) Rsinθ/2. 4) Rsinθ? Correct option is A can you explain how?.
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