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A particle with total energy \(E\) is moving in a potential energy region \(U(x).\) The motion of the particle is restricted to the region where:
1. \(U(x)<E\) 2. \(U(x)=0\)
3. \(U(x)\leq E\) 4. \(U(x)> E\)
Subtopic:  Conservation of Mechanical Energy |
Level 3: 35%-60%
NEET - 2013
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Which of the diagrams shown in the figure most closely shows the variation in kinetic energy of the earth as it moves once around the sun in its elliptical orbit?

1. 2.
3. 4.
Subtopic:  Conservation of Mechanical Energy |
 51%
Level 3: 35%-60%
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A ball is dropped from a height of \(5~\text {m}.\) If it rebounds up to a height of \(1.8~\text {m},\) then the ratio of velocities of the ball after and before the rebound will be:
1. \(\dfrac{3}{5}\)

2. \(\dfrac{2}{5}\)

3. \(\dfrac{1}{5}\)

4. \(\dfrac{4}{5}\)

Subtopic:  Conservation of Mechanical Energy |
 78%
Level 2: 60%+
AIPMT - 1998
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