A ball is dropped from a height of $$5$$ m. If it rebounds up to a height of $$1.8$$ m, then the ratio of velocities of the ball after and before the rebound will be:
1. $\frac{3}{5}$

2. $\frac{2}{5}$

3. $\frac{1}{5}$

4. $\frac{4}{5}$

Subtopic: Â Conservation of Mechanical Energy |
Â 74%
From NCERT
AIPMT - 1998
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A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB = D. The height h is equal to:

1. $\frac{3}{2}D$

2. D

3. $\frac{7}{4}D$

4. $\frac{5}{4}D$

Subtopic: Â Conservation of Mechanical Energy |
Â 72%
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A block of mass M is attached to the lower end of a vertical spring. The spring is hung from the ceiling and has a force constant value of k. The mass is released from rest with the spring initially unstretched. The maximum extension produced along the length of the spring will be:

 1 Mg/k 2 2Mg/k 3 4 Mg/k 4 Mg/2k
Subtopic: Â Conservation of Mechanical Energy |
Â 68%
From NCERT
NEET - 2009
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A ball is thrown vertically downwards from a height of 20 m with an initial velocity vo. It collides with the ground, loses 50% of its energy in a collision and rebounds to the same height. The initial velocity vo is: (Take g = 10 ms-2)

1. 14 ms-1
2. 20 ms-1
3. 28 ms-1
4. 10 ms-1

Subtopic: Â Conservation of Mechanical Energy |
Â 65%
From NCERT
NEET - 2015
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The principle of conservation of energy implies that:

1.  the total mechanical energy is conserved.

2.  the total kinetic energy is conserved.

3.  the total potential energy is conserved.

4.  the sum of all types of energies is conserved.

Subtopic: Â Conservation of Mechanical Energy |
Â 54%
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The potential energy of a 1 kg particle free to move along the x-axis is given by:

The total mechanical energy of the particle is 2J. Then, the maximum speed (in ms-1) will be
1. $$3 \over \sqrt{2}$$
2. $$\sqrt{2}$$
3. $$1 \over \sqrt{2}$$
4. 2

Subtopic: Â Conservation of Mechanical Energy |
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