Potential energy of a particle varies with x according to the relation `U(x)=x^(2)-4x` .The point "x=2" is a point of

The potential energy of a particle varies with x according to the reltiaon U(x) =x^(2)-4x . The point x =2 is a point of

The potential enery of a particle varies with posiion x according to the relation U(x) = 2x^(4) - 27 x the point x = (3)/(2) is point of

The displacement of the particle varies with time according to the relation x=(k)/(b)[1-e^(-ht)] . Then the velocity of the particle is

The displacement x of a particle varies with time according to the relation x=(a)/(b)(1-e^(-bt)) . Then select the false alternative.

A particle of mass m is present in a region where the potential energy of the particle depends on the x-coordinate according to the expression U=(a)/(x^2)-(b)/(x) , where a and b are positive constant. The particle will perform.

The disperod of a particle varies according to the relation x=4 (cos pit+ sinpit) . The amplitude of the particle is.

The potential energy of a particle under a conservative force is given by U(x)=(x^(2)-3x)J . The equilibrium position of the particle is at x m. The value of 10 x will be

The potential energy of a particle is determined by the expression U=alpha(x^2+y^2) , where alpha is a positive constant. The particle begins to move from a point with coordinates (3, 3) , only under the action of potential field force. Then its kinetic energy T at the instant when the particle is at a point with the coordinates (1,1) is

The potential energy of a particle of mass 2 kg moving along the x-axis is given by U(x) = 4x^2 - 2x^3 ( where U is in joules and x is in meters). The kinetic energy of the particle is maximum at