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:  Uniform Circular Motion |
From NCERT
NEET - 2015
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A car is moving in a circular horizontal track of radius $$10$$ m with a constant speed of $$10$$ m/s. A bob is suspended from the roof of the car by a light wire of length $$1.0$$ m. The angle made by the wire with the vertical is:
 1 $$\pi \over 3$$ 2 $$\pi \over 6$$ 3 $$\pi \over 4$$ 4 $$0^\circ$$
Subtopic:  Uniform Circular Motion |
70%
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:  Uniform Circular Motion |
71%
From NCERT
AIPMT - 2008
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A tube of length $$\text L$$ is filled completely with an incompressible liquid of mass $$\text M$$ and closed at both ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. 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:  Uniform Circular Motion |
57%
From NCERT
AIPMT - 2006
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