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Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d dl apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as:

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Important Questions on Electrostatics

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A circular disc of radius 4cm with charge density 10 nC/m2 is placed in Y-Z plane with center at z=0. Find electric field at a distance of 3cm perpendicular to plane of disc.

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Assertion: When the electric flux through a closed surface is zero then the net charge inside the surface must be zero.

Reason: When the net charge inside a closed surface is zero then electric field at every point of the Gaussian surface must be zero.

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Assertion: If a proton and an electron are placed in the same uniform electric field they experience accelerations of different magnitudes.

Reason: Electric force on a charge is independent of its mass.

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Assertion: When a charge is placed at a corner of a square, the flux passing through the square will be zero.

Reason: When electric field and area vector are perpendicular to each other at every point, then the flux passing through that surface will be zero.

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Assertion: If more electric field lines leave a Gaussian surface than those which enter into it, then the net charge enclosed by that surface will be positive.

Reason: If the net flux passing through a Gaussian surface is zero, then net charge enclosed by that surface will be zero.

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Assertion: Under electrostatic conditions net electric field inside a solid conductor will be zero.

Reason: Under electrostatic conditions there will be no free electrons inside a conductor.

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Assertion :- An electric dipole experiences maximum force in a uniform electric field when it is placed with its axis at right angles to the field direction.

Reason :- When the axis of a dipole is perpendicular to a uniform external electric field, then torque acting on it will be zero.

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Assertion: If a positive charge is released it moves from higher potential to lower potential.

Reason: Force on positive charge is along E, which is from high potential to low potential.