1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Two spherical conductors $$B$$ and $$C$$ having equal radii and carrying equal charges on them repel each other with a force $$F$$ when kept apart at some distance. A third spherical conductor having same radius as that $$B$$ but uncharged is brought in contact with $$B,$$ then brought in correct with $$C$$ and finally removed away from both. The new force of repulsion between $$B$$ and $$C$$ is
A
$$F/8$$
B
$$3$$ $$F/4$$
C
$$F/4$$
D
$$3$$ $$F/8$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
A thin spherical conducting shell of radius $$R$$ has a charge $$q.$$ Another charge $$Q$$ is placed at the center of the shell. The electrostatic potential at a point $$P$$ a distance $${R \over 2}$$ from the center of the shell is
A
$${{2Q} \over {4\pi {\varepsilon _0}R}}$$
B
$${{2Q} \over {4\pi {\varepsilon _0}R}} - {{2q} \over {4\pi {\varepsilon _0}R}}$$
C
$${{2Q} \over {4\pi {\varepsilon _0}R}} + {q \over {4\pi {\varepsilon _0}R}}$$
D
$${{\left( {q + Q} \right)2} \over {4\pi {\varepsilon _0}R}}$$
3
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Three charges $$ - {q_1}, + {q_2}$$ and $$ - {q_3}$$ are placed as shown in the figure. The $$x$$-component of the force on $$ - {q_1}$$ is proportional to AIEEE 2003 Physics - Electrostatics Question 274 English
A
$${{{q_2}} \over {{b^2}}} - {{{q_3}} \over {{a^2}}}\cos \theta $$
B
$${{{q_2}} \over {{b^2}}} + {{{q_3}} \over {{a^2}}}\sin \theta $$
C
$${{{q_2}} \over {{b^2}}} + {{{q_3}} \over {{a^2}}}\cos \theta $$
D
$${{{q_2}} \over {{b^2}}} - {{{q_3}} \over {{a^2}}}sin\theta $$
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
If the electric flux entering and leaving an enclosed surface respectively is $${\phi _1}$$ and $${\phi _2},$$ the electric charge inside the surface will be
A
$$\left( {{\phi _2} - {\phi _1}} \right){\varepsilon _0}$$
B
$$\left( {{\phi _2} + {\phi _1}} \right)/{\varepsilon _0}$$
C
$$\left( {{\phi _1} - {\phi _2}} \right)/{\varepsilon _0}$$
D
$$\left( {{\phi _1} + {\phi _2}} \right){\varepsilon _0}$$

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