EASY
JEE Main/Advance
IMPORTANT
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An electric dipole is placed at the centre of a sphere. Mark the correct answer :

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Important Questions on Electrostatics

HARD
JEE Main/Advance
IMPORTANT
At distance of 5 cm and 10 cm outwards from the surface of a uniformly charged solid sphere, the potentials are 100 V and 75 V respectively. Then:
MEDIUM
JEE Main/Advance
IMPORTANT
An electric field converges at the origin whose magnitude is given by the expression E=100rN/C, where r is the distance measured from the origin.
HARD
JEE Main/Advance
IMPORTANT

A bullet of mass m and charge q is fired towards a solid uniformly charged sphere of radius R and total charge +q. If it strikes the surface of sphere with speed u, find the minimum value of u so that it can penetrate through the sphere. (Neglect all resistance forces or friction acting on bullet except electrostatic forces)

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HARD
JEE Main/Advance
IMPORTANT

A unit positive point charge of mass m is projected with a velocity v inside the tunnel as shown. The tunnel has been made inside a uniformly charged non-conducting sphere of volume charge density ρ. The minimum velocity with which the point charge should be projected such that it can it reach the opposite end of the tunnel, is equal to:

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MEDIUM
JEE Main/Advance
IMPORTANT

Three concentric conducting spherical shells have radius r,2r and 3r and Q1,Q2 and Q3 are final charges, respectively. Innermost and outermost shells are already earthed as shown in figure. choose the wrong statement.

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EASY
JEE Main/Advance
IMPORTANT
In the previous question assume that the electrostatic potential is zero at an infinite distance from the spherical shell. The electrostatic potential at a distance R a<R<b from the centre of the shell is where K=14πε0
MEDIUM
JEE Main/Advance
IMPORTANT
There are four concentric shells A,B,C and D of radii a,2a,3a and 4a, respectively. Shells B and D are given charges +q and -q, respectively. Shell C is now earthed. The potential difference VA-VC is, where k=14πε0
MEDIUM
JEE Main/Advance
IMPORTANT

X and Y are large, parallel conducting plates closed to each other. Each face has an area A.X is given a charge Q. Y is without any charge. Points A,Band C are as shown in figure:

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