# 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:  Uniform Circular Motion |
78%
From NCERT
AIPMT - 1998
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A small ball is suspended from a thread. If it is lifted up with an acceleration of $$4.9$$ ms–2 and lowered with an acceleration of $$4.9$$ ms–2, then the ratio of the tension in the thread in both cases will be:
1. $$1:3$$
2. $$3:1$$
3. $$1:1$$
4. $$1:5$$

Subtopic:  Application of Laws |
74%
From NCERT
AIPMT - 1998
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If a ladder is not in a balanced condition against a smooth vertical wall, then it can be brought to a balanced condition by:

 1 decreasing the length of the ladder. 2 increasing the length of the ladder. 3 increasing the angle of inclination. 4 decreasing the angle of inclination.

Subtopic:  Application of Laws |
62%
From NCERT
AIPMT - 1998
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For rocket propulsion, the velocity of exhaust gases relative to the rocket is $$2$$ km/s. If the mass of a rocket system is $$1000$$ kg, then the rate of fuel consumption for the rocket to rise up with an acceleration $$4.9$$ m/s2 will be:
1. $$12.25$$ kg/s
2. $$17.5$$ kg/s
3. $$7.35$$ kg/s
4. $$5.2$$ kg/s

Subtopic:  Variable Mass System |
65%
From NCERT
AIPMT - 1998
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A rigid rod is placed against the wall as shown in the figure. When the velocity at its lower end is $$10$$ ms-1 and its base makes an angle $$\alpha=60^\circ$$ with horizontal, then the vertical velocity of its end $$\mathrm{B}$$ (in ms-1) will be:

 1 $$10\sqrt{3}$$ 2 $$\frac{10}{\sqrt{3}}$$ 3 $$5\sqrt{3}$$ 4 $$\frac{5}{\sqrt{3}}$$
Subtopic:  String Constraint |
61%
From NCERT
AIPMT - 1998
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If $$100$$ N force is applied to $$10$$ kg block as shown in diagram, then the acceleration produced for the slab will be:

 1 $$1. 65$$ m/s2 2 $$0.98$$ m/s2 3 $$1. 2$$ m/s2 4 $$0.25$$ m/s2
Subtopic:  Friction |
59%
From NCERT
AIPMT - 1999
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A block of mass $$m$$ is placed on a smooth wedge of inclination $$\theta$$. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block ($$g$$ is the acceleration due to gravity) will be:
1. $$mg~\mathrm{sin\theta}$$
2. $$mg$$
3. $$\frac{mg}{\mathrm{cos\theta}}$$
4. $$mg~\mathrm{cos\theta}$$

Subtopic:  Application of Laws |
56%
From NCERT
AIPMT - 2004
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The coefficient of static friction, $$\mu_s,$$ between block A of mass $$2$$ kg and the table as shown in the figure is $$0.2$$. What would be the maximum mass value of block B so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless. (Take $$g=10$$ m/s2

1. $$4.0$$ kg
2. $$0.2$$ kg
3. $$0.4$$ kg
4. $$2.0$$ kg

Subtopic:  Friction |
81%
From NCERT
AIPMT - 2004
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An object of mass $$3$$ kg is at rest. Now if a force of $$\overrightarrow{F} = 6 t^{2} \hat{i} + 4 t \hat{j}$$ is applied to the object, then the velocity of the object at $$t =3$$ second will be:
1. $$18 \hat{i} + 3 \hat{j}$$

2. $$18 \hat{i} + 6 \hat{j}$$

3. $$3 \hat{i} + 18 \hat{j}$$

4. $$18 \hat{i} + 4 \hat{j}$$

Subtopic:  Newton's Laws |
74%
From NCERT
AIPMT - 2002
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A block of mass 10 kg is placed on a rough horizontal surface with a coefficient of friction µ = 0.5. If a horizontal force of 100 N acts on the block, then the acceleration of the block will be:

1. 10 m/s2

2. 5 m/s2

3. 15 m/s2

4. 0.5 m/s2

Subtopic:  Friction |
89%
From NCERT
AIPMT - 2002
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