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Q. No.Two stones of masses \(m\) and \(2m\) are whirled in horizontal circles, the heavier one in a radius \(\frac{r}{2}\) and the lighter one in a radius \(r\). The tangential speed of lighter stone is \(n\) times that of the value of heavier stone when they experience the same centripetal forces. The value of \(n\) is:
| 1. | \(3\) | 2. | \(4\) |
| 3. | \(1\) | 4. | \(2\) |
Subtopic: Â Uniform Circular Motion |
From NCERT
NEET - 2015
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A car is moving in a circular horizontal track of radius \(10~\text m\) with a constant speed of \(10~\text{m/s}.\) A bob is suspended from the roof of the car by a light wire of length \(1.0~\text m.\) The angle made by the wire with the vertical is:
| 1. | \(\dfrac{\pi}{3} \) | 2. | \(\dfrac{\pi}{6}\) |
| 3. | \(\dfrac{\pi}{4}\) | 4. | \(0^\circ\) |
Subtopic: Â Uniform Circular Motion |
 71%
From NCERT
NEET - 2013
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A roller coaster is designed such that riders experience "weightlessness" as they go around the top of a hill whose radius of curvature is \(20\) m. The speed of the car at the top of the hill is between:
| 1. | \(14\) m/s and \(15\) m/s |
| 2. | \(15\) m/s and \(16\) m/s |
| 3. | \(16\) m/s and \(17\) m/s |
| 4. | \(13\) m/s and \(14\) m/s |
Subtopic: Â Uniform Circular Motion |
 73%
From NCERT
AIPMT - 2008
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A tube of length \( L\) is filled completely with an incompressible liquid of mass \(M\) and closed at both ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity \(\omega\). The force exerted by the liquid at the other end is:
| 1. | \(ML \omega^2 \over 2\) | 2. | \(ML^2 \omega \over 2\) |
| 3. | \(ML \omega^2 \) | 4. | \(ML^2 \omega^2 \over 2\) |
Subtopic: Â Uniform Circular Motion |
 57%
From NCERT
AIPMT - 2006
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Q. No.
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