# A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity ω0. If the length of the string and angular velocity are doubled, the tension in the string which was initially T0 is now  (1) T0 (2) T0/2 (3) 4 T0 (4) 8 T0

Subtopic:  Uniform Circular Motion |
71%
From NCERT
AIIMS - 1985
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Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in horizontal circles centred at O. If the velocity of the outermost particle is v0, then the ratio of tensions in the three sections of the string is

(1) 3 : 5 : 7

(2) 3 : 4 : 5

(3) 7 : 11 : 6

(4) 3 : 5 : 6

Subtopic:  Uniform Circular Motion |
From NCERT
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A block of mass m at the end of a string is whirled round in a vertical circle of radius R. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is

(1) Rg

(2) (Rg)2

(3) R/g

(4) $\sqrt{Rg}$

Subtopic:  Non Uniform Vertical Circular Motion |
92%
From NCERT
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A bucket tied at the end of a 1.6 m long string is whirled in a vertical circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill, when the bucket is at the highest position (Take g = 10 m/s2

(1) 4 m/sec

(2) 6.25 m/sec

(3) 16 m/sec

(4) None of the above

Subtopic:  Uniform Circular Motion |
77%
From NCERT
AIIMS - 1987
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A 1 kg stone at the end of 1 m long string is whirled in a vertical circle at constant speed of 4 m/sec. The tension in the string is 6 N, when the stone is at (g = 10 m/sec2

1. Top of the circle

2. Bottom of the circle

3. Half way down

4. None of the above

Subtopic:  Uniform Circular Motion |
58%
From NCERT
AIIMS - 1982
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The tension in the string revolving in a vertical circle with a mass m at the end which is at the lowest position

(1) $\frac{m{v}^{2}}{r}$

(2) $\frac{m{v}^{2}}{r}-mg$

(3) $\frac{m{v}^{2}}{r}+mg$

(4) mg

Subtopic:  Uniform Circular Motion |
77%
From NCERT
AIIMS - 2001
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A coin, placed on a rotating turn-table slips, when it is placed at a distance of 9 cm from the centre. If the angular velocity of the turn-table is trippled, it will just slip, if its distance from the centre is

(1) 27 cm

(2) 9 cm

(3) 3 cm

(4) 1 cm

Subtopic:  Uniform Circular Motion |
59%
From NCERT
PMT - 2001
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A body of mass 0.4 kg is whirled in a vertical circle making 2 rev/sec. If the radius of the circle is 2 m, then tension in the string when the body is at the top of the circle, is

(1) 41.56 N

(2) 89.86 N

(3) 109.86 N

(4) 122.4 N

Subtopic:  Uniform Circular Motion |
55%
From NCERT
PMT - 1999
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A bucket full of water is revolved in vertical circle of radius 2m. What should be the maximum time-period of revolution so that the water doesn't fall off the bucket ?

(1) 1 sec

(2) 2 sec

(3) 3 sec

(4) 4 sec

Subtopic:  Uniform Circular Motion |
51%
From NCERT
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A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the 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. $\frac{ML{\omega }^{2}}{2}$

2. $ML{\omega }^{2}$

3. $\frac{ML{\omega }^{2}}{4}$

4. $\frac{M{L}^{2}{\omega }^{2}}{2}$

Subtopic:  Application of Laws |
60%
From NCERT
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