A hollow closed conductor of irregular shape is given some charge. Which of following statements are

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2. Electric Potential and Capacitance

hard

A hollow closed conductor of irregular shape is given some charge. Which of the following statements are correct ?

The entire charge will appear on its outer surface.

All points on the conductor will have the same potential.

All points on its surface will have the same charge density.

$A$ and $B$ both

Solution

From the basic property of conductor we can say that the all entire charges will appear on the outer surface of any conductor and surface of the conductor is a equipotential surface. As the shape of conductor is irregular, the charge density will be different for every point on the surface. The electric field is not constant outside the conductor because it will vary with distance from the center.

Standard 12

Physics

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A spherical conducting shell of inner radius $r_1$ and outer radius $r_2$ has a charge $Q. $

$(a)$ A charge $q$ is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell?

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easy

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$(A)$ Charge on $B$ is zero

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$(C)$ Charge is uniformly distributed on $A$

$(D)$ Charge is non uniformly distributed on $A$

medium

A hollow closed conductor of irregular shape is given some charge. Which of the following statements are correct ?

Solution

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For the situation shown in the figure below, mark out the correct statement

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Four metal conductors having different shapes

$1.$ A sphere $2.$ Cylindrical

$3.$ Pear $4.$ Lightning conductor

are mounted on insulating stands and charged. The one which is best suited to retain the charges for a longer time is

Two concentric spheres $A$ and $B$ are kept very near to each other. $A$ is negatively charged and $B$ is earthed. The true statement is

$(A)$ Charge on $B$ is zero

$(B)$ Potential at $B$ is zero

$(C)$ Charge is uniformly distributed on $A$

$(D)$ Charge is non uniformly distributed on $A$