# 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:  Conservation of Mechanical Energy |
74%
From NCERT
AIPMT - 1998
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A particle of mass m1 is moving with a velocity v1 and another particle of mass m2 is moving with a velocity v2. Both of them have the same momentum, but their kinetic energies are E1 and E2 respectively. If m1 > m2 then:

1. $\frac{{\mathrm{E}}_{1}}{{\mathrm{E}}_{2}}=\frac{{\mathrm{m}}_{1}}{{\mathrm{m}}_{2}}$

2. ${\mathrm{E}}_{1}>{\mathrm{E}}_{2}$

3. ${\mathrm{E}}_{1}={\mathrm{E}}_{2}$

4. ${\mathrm{E}}_{1}<{\mathrm{E}}_{2}$

Subtopic:  Concept of Work |
72%
From NCERT
AIPMT - 2004
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A mass of $$0.5$$ kg moving with a speed of $$1.5$$ m/s on a horizontal smooth surface, collides with a nearly weightless spring with force constant $$k=50$$ N/m. The maximum compression of the spring would be:

1. $$0.12$$ m
2. $$1.5$$ m
3. $$0.5$$ m
4. $$0.15$$ m

Subtopic:  Elastic Potential Energy |
81%
From NCERT
AIPMT - 2004
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If two springs, A and B $\left({K}_{A}$ $=$ $2$ ${K}_{B}\right),$ are stretched by the same suspended weights, then the ratio of work done in stretching is equal to:
1.  1 : 2
2.  2 : 1
3.  1 : 1
4.  1 : 4

Subtopic:  Elastic Potential Energy |
63%
From NCERT
AIPMT - 1999
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When a spring is subjected to 4 N force, its length is a metre and if 5 N is applied, its length is b metre. If 9 N is applied, its length will be:

1.  4b – 3a

2.  5b – a

3.  5b – 4a

4.  5b – 2a

Subtopic:  Elastic Potential Energy |
70%
From NCERT
AIPMT - 1999
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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:  Conservation of Mechanical Energy |
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If a stone is projected vertically upward from the ground at a speed of 10 m/s, then it's: (g = 10 $\mathrm{m}/{\mathrm{s}}^{2}$)

1.  Potential energy will be maximum after 0.5 s

2.  Kinetic energy will be maximum again after 1 s

3.  Kinetic energy = potential energy at a height of 2.5 m from the ground

4.  Potential energy will be minimum after 1 s

Subtopic:  Conservation of Mechanical Energy |
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The kinetic energy of a body is increased by 21%. The percentage increase in the magnitude of linear momentum of the body will be:

1.  10%

2.  20%

3.  Zero

4.  11.5%

Subtopic:  Concept of Work |
63%
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A rigid body of mass $$\mathrm{m}$$ is moving in a circle of radius $$\mathrm{r}$$ with constant speed $$\mathrm{v}.$$ The force on the body is $\frac{{\mathrm{mv}}^{2}}{\mathrm{r}}$ and is always directed towards the center. The work done by this force in moving the body over half the circumference of the circle will be:
1. $\frac{{\mathrm{mv}}^{2}}{\mathrm{r\pi }}$
2. ${\mathrm{mr}}^{2}\mathrm{\pi }$
3. zero
4. $2{\mathrm{mv}}^{2}\mathrm{\pi }$

Subtopic:  Concept of Work |
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A particle of mass 10 kg moves with a velocity of $10\sqrt{x}$ SI units, where x is displacement. The work done by the net force during the displacement of the particle from x = 4 m to x = 9 m is:

 1 1250 J 2 1000 J 3 3500 J 4 2500 J
Subtopic:  Work Energy Theorem |
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