Related Practice Questions :

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

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The potential energy between two atoms in a molecule is given by U(x)=ax12bx6; where a and b are positive constants and x is the distance between the atoms. The atoms are in stable equilibrium when:

(1) x=11a5b6

(2) x=a2b6

(3) x = 0

(4) x=2ab6

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A particle of mass m is moving in a horizontal circle of radius r under a centripetal force equal to –K/r2, where K is a constant. The total energy of the particle is

 (1) K2r

(2) K2r

(3) Kr

(4) Kr

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A particle free to move along the x-axis has potential energy given by U(x)=k[1e(x)2] for x+, where k is a positive constant of appropriate dimensions. Then 

(1) At point away from the origin, the particle is in unstable equilibrium

(2) For any finite non-zero value of x, there is a force directed away from the origin

(3) If its total mechanical energy is k/2, it has its minimum kinetic energy at the origin

(4) For small displacements from x = 0, the motion is simple harmonic

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The potential energy of a system is represented in the first figure. the force acting on the system will be represented by

(1)

(2)

(3)

(4)

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