A bob is whirled in a horizontal plane by means of a string with an initial speed of $$\omega$$ rpm. The tension in the string is $$T$$. If speed becomes $$2\omega$$ while keeping the same radius, the tension in the string becomes:
 1 $$4 T$$ 2 $$\dfrac{T}{4}$$ 3 $$\sqrt{2} T$$ 4 $$T$$
Subtopic: Â Uniform Circular Motion |
Â 65%
From NCERT
NEET - 2024
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A bob is whirled in a horizontal circle by means of a string at an initial speed of $$10$$ rpm. If the tension in the string is quadrupled while keeping the radius constant, the new speed is:
 1 $$20$$ rpm 2 $$40$$ rpm 3 $$5$$ rpm 4 $$10$$ rpm
Subtopic: Â Uniform Circular Motion |
Â 62%
From NCERT
NEET - 2024
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A block of mass $$10~\text{kg}$$ is in contact with the inner wall of a hollow cylindrical drum of radius $$1~\text{m}$$. The coefficient of friction between the block and the inner wall of the cylinder is $$0.1$$. The minimum angular velocity needed for the cylinder, which is vertical and rotating about its axis, will be: $$\left(g= 10~\text{m/s}^2\right )$$
1. $$10~\pi~\text{rad/s}$$
2. $$\sqrt{10}~\pi~\text{rad/s}$$
3. $$\frac{10}{2\pi}~\text{rad/s}$$
4. $$10~\text{rad/s}$$

Subtopic: Â Uniform Circular Motion |
Â 66%
From NCERT
NEET - 2019
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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 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 |
Â 71%
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 |
Â 57%
From NCERT
AIPMT - 2006
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A particle of mass m is tied to a string of length $$l$$ and whirled into a horizontal plane. If the tension in the string is T, then the speed of the particle will be:

1. $\sqrt{\frac{Tl}{m}}$

2. $\sqrt{\frac{2Tl}{m}}$

3. $\sqrt{\frac{3Tl}{m}}$

4. $\sqrt{\frac{T}{ml}}$

Subtopic: Â Uniform Circular Motion |
Â 78%
From NCERT
AIPMT - 1998
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