Q. No.A particle moves with a speed \(v\) in a circle of radius \(R.\) The \({x}\text -\)component of the average velocity of the particle in a half-revolution as shown in the figure, is:
1. \(\left(\dfrac{-v}{\pi}\right)\)
2. \(\left(\dfrac{-v}{2 \pi}\right)\)
3. \(\left(\dfrac{-v}{4 \pi}\right)\)
4. \(\left(\dfrac{-2 v}{\pi}\right)\)
1. \(\left(\dfrac{-v}{\pi}\right)\)
2. \(\left(\dfrac{-v}{2 \pi}\right)\)
3. \(\left(\dfrac{-v}{4 \pi}\right)\)
4. \(\left(\dfrac{-2 v}{\pi}\right)\)
Subtopic: Circular Motion |
Level 3: 35%-60%
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A particle of a mass \(m\) is moving in a circle of the radius \(r\) with uniform speed \(v.\) Choose the correct option:
| 1. | radial acceleration \(a_{r}=0;\) tangential acceleration \(a_{t}\neq 0.\) |
| 2. | radial acceleration \(a_{r}=0;\) tangential acceleration \(a_{t}=0.\) |
| 3. | radial acceleration \(a_{r}\neq 0;\) tangential acceleration \(a_{t}\neq 0.\) |
| 4. | radial acceleration \(a_{r}\neq 0;\) tangential acceleration \(a_{t}=0\) |
Subtopic: Circular Motion |
75%
Level 2: 60%+
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In uniform circular motion of a particle, the quantity that keeps changing is:
1. angular velocity
2. angular momentum
3. kinetic energy
4. acceleration
1. angular velocity
2. angular momentum
3. kinetic energy
4. acceleration
Subtopic: Circular Motion |
58%
Level 3: 35%-60%
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A particle moving with uniform speed in a circular path maintains:
| 1. | constant acceleration |
| 2. | constant velocity but varying acceleration |
| 3. | varying velocity and varying acceleration |
| 4. | constant velocity |
Subtopic: Circular Motion |
60%
Level 2: 60%+
NEET - 2024
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A particle moves with constant speed \(v\) along a circular path of radius \(r.\) As it travels from point \(P \) to point \(Q ,\) it subtends a central angle of \(40^\circ.\) The magnitude of the change in its velocity during this motion is:
1. \(2v \cos40^\circ\)
2. \(2v\sin40^\circ\)
3. \(2v \cos20^\circ\)
4. \(2v \sin20^\circ\)
1. \(2v \cos40^\circ\)
2. \(2v\sin40^\circ\)
3. \(2v \cos20^\circ\)
4. \(2v \sin20^\circ\)
Subtopic: Circular Motion |
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Level 2: 60%+
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Which of the following is the angle between velocity and acceleration of a body in uniform circular motion?
1. \(30^\circ\)
2. \(45^\circ\)
3. \(60^\circ\)
4. \(90^\circ\)
Subtopic: Circular Motion |
91%
Level 1: 80%+
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A particle is executing uniform circular motion with velocity \(\vec v\) and acceleration \(\vec a.\) Which of the following is true?
| 1. | \(\vec v\) is a constant; \(\vec a\) is not a constant. |
| 2. | \(\vec v\) is not a constant; \(\vec a\) is not a constant. |
| 3. | \(\vec v\) is a constant; \(\vec a\) is a constant. |
| 4. | \(\vec v\) is not a constant; \(\vec a\) is a constant. |
Subtopic: Circular Motion |
66%
Level 2: 60%+
NEET - 2023
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The tangential component of acceleration of a particle in circular motion is due to:
| 1. | speed of the particle |
| 2. | change in the direction of the velocity |
| 3. | change in the magnitude of the velocity |
| 4. | rate of change of acceleration |
Subtopic: Circular Motion |
Level 3: 35%-60%
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A car of mass \(m\) moves in a horizontal circular path of radius \(r\) metre. At an instant, its speed is \(v\) m/s and is increasing at a rate of \(a\) m/s2. Then the acceleration of the car is:
| 1. | \(\dfrac{{v}^{2}}{r}\) | 2. | \(a\) |
| 3. | \(\sqrt{{a}^{2}{+}{\left({\dfrac{{v}^{2}}{r}}\right)}^{2}}\) | 4. | \(\sqrt{a+\dfrac{v^{2}}{r}}\) |
Subtopic: Circular Motion |
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Level 1: 80%+
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A body of mass \(m\) is moving in a horizontal circle of radius \(R\) with a frequency \(\nu.\) Which of the following represents the magnitude of the centripetal acceleration acting on the body?
| 1. | \(4m\pi \nu^2R \) | 2. | \(4\pi^2 \nu R \) |
| 3. | \(4\pi^2 \nu^2R \) | 4. | \(4\pi^2 \nu^2R^2 \) |
Subtopic: Circular Motion |
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Level 1: 80%+
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