The potential energy of a body is given by, U = ABx2 (Where x is the displacement). The magnitude of force acting on the particle is 

(1) Constant

(2) Proportional to x

(3) Proportional to x2

(4) Inversely proportional to x

Subtopic:  Potential Energy: Relation with Force |
 82%
From NCERT
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The potential energy between two atoms in a molecule is given by \(U\left ( x \right )=\frac{a}{x^{12}}-\frac{b}{x^{6}};\) where \(a\) and \(b\) are positive constants and \(x\) is the distance between the atoms. The atoms are in stable equilibrium when:
1. \(x=\sqrt[6]{\frac{11a}{5b}}\)
2. \(x=\sqrt[6]{\frac{a}{2b}}\)
3. \(x=0\)
4. \(x=\sqrt[6]{\frac{2a}{b}}\)

Subtopic:  Potential Energy: Relation with Force |
 66%
From NCERT
PMT - 1995
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Which one of the following is not a conservative force 

(1) Gravitational force

(2) Electrostatic force between two charges

(3) Magnetic force between two magnetic dipoles

(4) Frictional force

Subtopic:  Work Energy Theorem |
 87%
From NCERT
PMT - 2005
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Work done in raising a box depends on

(1) How fast it is raised

(2) The strength of the man

(3) The height by which it is raised

(4) None of the above

Subtopic:  Gravitational Potential Energy |
 85%
From NCERT
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A bomb of 12 kg explodes into two pieces of masses 4 kg and 8 kg. The velocity of 8kg mass is 6 m/sec. The kinetic energy of the other mass is 

(1) 48 J

(2) 32 J

(3) 24 J

(4) 288 J

Subtopic:  Collisions |
 83%
From NCERT
PMT - 1991
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If the kinetic energy of a body becomes four times of its initial value, then new momentum will

(1) Becomes twice its initial value

(2) Become three times its initial value

(3) Become four times its initial value

(4) Remains constant

Subtopic:  Conservation of Mechanical Energy |
 85%
From NCERT
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A bullet is fired from a rifle. If the rifle recoils freely, then the kinetic energy of the rifle is 

(1) Less than that of the bullet

(2) More than that of the bullet

(3) Same as that of the bullet

(4) Equal or less than that of the bullet

Subtopic:  Collisions |
 62%
From NCERT
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If the water falls from a dam into a turbine wheel 19.6 m below, then the velocity of water at the turbine is (g = 9.8 m/s2) 

(1) 9.8 m/s

(2) 19.6 m/s

(3) 39.2 m/s

(4) 98.0 m/s

Subtopic:  Gravitational Potential Energy |
 88%
From NCERT
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Two identical cylindrical vessels with their bases at the same level each contain a liquid of density; ρ. The height of the liquid in one vessel is h1 and that in the other vessel is h2 h1>h2.The area of either base is A. The work done by gravity in equalizing the levels when the two vessels are connected is :

(1) (h1h2)gρ

(2) (h1h2)gAρ

(3) 12(h1h2)2gAρ

(4) 14(h1h2)2gAρ

Subtopic:  Gravitational Potential Energy |
From NCERT
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If the increase in the kinetic energy of a body is 21%, then the increase in the momentum will be:
1. 22%
2. 44%
3. 10%
4. 300%

Subtopic:  Conservation of Mechanical Energy |
 63%
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