If force $$F=500-100t,$$ then the function of impulse with time will be:
1. $$500 t-50 t^2$$
2. $$50 t-10$$
3. $$50-t^2$$
4. $$100 t^2$$

Subtopic:  Application of Laws |
90%
From NCERT
AIPMT - 1998
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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:  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 |
58%
From NCERT
AIPMT - 1999
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Two masses as shown are suspended from a massless pulley. What would be the acceleration of the system when masses are left free?

1. $$2g/3$$
2. $$g/3$$
3. $$g/9$$
4. $$g/7$$
(where $$g$$ is the acceleration due to gravity.)

Subtopic:  Application of Laws |
93%
From NCERT
AIPMT - 2000
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A body of mass 3 kg hits a wall at an angle of 60º & returns at the same angle. The impact time was 0.2 s. Calculate the force exerted on the wall.

1. 150 $\sqrt{3}$ N

2. 50 $\sqrt{3}$ N

3. 100 N

4. 75 $\sqrt{3}$ N

Subtopic:  Application of Laws |
84%
From NCERT
AIPMT - 2000
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A mass of 1 kg is thrown up with a velocity of 100 m/s. After 5 seconds, it explodes into two parts. One part of mass 400 g comes down with a velocity of 25 m/s. Calculate the velocity of the other part.

1. 40 m/s upward

2. 40 m/s downward

3. 100 m/s upward

4. 60 m/s downward

Subtopic:  Application of Laws |
57%
From NCERT
AIPMT - 2000
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