Question 1 :
A metal sphere of radius {tex} 1 \mathrm { cm } , {/tex} can hold a charge of 1 coulomb.

Question 2 :
Two identical metallic spheres A and B, each carrying a charge {tex} q {/tex} repel each other with a force {tex} F {/tex}. A third metallic sphere {tex} C {/tex} of the same size but uncharged, is successively made to touch the spheres {tex} A {/tex} and {tex} B {/tex} respectively one at a time and then removed away. The new force of repulsion between {tex} A {/tex} and {tex}B{/tex} is ...... of the earlier force

Question 3 :
Two small identical balls P and Q each of mass 0.20g carry identical charges and are suspended by two threads of equal length. The balls position themselves at equilibrium such that the angle between the threads is 60{tex}\degree{/tex}. If the distance between the balls is 0.5m, find the charge on each ball. Take g = 9.8ms{tex}^{-2}{/tex}.

Question 4 :
Two identical spheres having unequal, opposite charges are placed at a distance of {tex} 0.90 \mathrm { m } {/tex} apart. After touching them mutually, they are again placed at the same distance apart. Now they repel each other with a force of {tex} 0.025 \mathrm { N } {/tex}. Calculate the final charge on each of them.

Question 5 :
An ionized helium particle {tex} ( + 2 e ) {/tex} is situated at the origin (0, 0). How much work is done in taking an electron from {tex} x = 3 \mathrm { cm } {/tex} to {tex} x = 6 \mathrm { cm } {/tex} ?

Question 6 :
A body has a positive charge of {tex} 8 \times 10 ^ { - 19 } \mathrm { C } {/tex}. It has:

Question 7 :
Electric field intensity, 'E' at a point P (Figure) at a perpendicular distance 'r' from an infinitely long line X'X having linear charge density {tex}\lambda{/tex} is given by:<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ISC%20-%20Class%2012/5f7c7dbc46f7292c04edf375"><br>

Question 8 :
Electric charges {tex} + q _ { 1 } , - q _ { 1 } , + q _ { 2 } {/tex} and {tex} - q _ { 2 } {/tex} are placed in free space and {tex} S {/tex} is a spherical Gaussian surface. The electric flux passing over the surface {tex} S {/tex} is :<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ISC%20-%20Class%2012/5f7c7dbc46f7292c04edf376"><br>

Question 9 :
Find the potential at the centre of a square of side {tex} \sqrt { 2 } \mathrm { m } {/tex} which carries at its four corners charges {tex} q _ { 1 } = 3 \times 10 ^ { - 6 } \mathrm { C } , q _ { 2 } = - 3 \times 10 ^ { - 6 } \mathrm { C } , q _ { 3 } = - 4 \times 10 ^ { - 6 } \mathrm { C } {/tex} and {tex} q _ { 4 } = 7 \times 10 ^ { - 6 } \mathrm { C } {/tex}

Question 10 :
What is the locus of an electron projected perpendicular to a uniform electric field?