1
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
Two point charges $$+8q$$ and $$-2q$$ are located at $$x=0$$ and $$x=L$$ respectively. The location of a point on the $$x$$ axis at which the net electric field due to these two point charges is zero is
A
$${L \over 4}$$
B
$$2$$ $$L$$
C
$$4$$ $$L$$
D
$$8$$ $$L$$
2
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
Two thin wire rings each having a radius $$R$$ are placed at a distance $$d$$ apart with their axes coinciding. The charges on the two rings are $$+q$$ and $$-q.$$ The potential difference between the centres of the two rings is
A
$${q \over {2\pi \,{ \in _0}}}\left[ {{1 \over R} - {1 \over {\sqrt {{R^2} + {d^2}} }}} \right]$$
B
$${{qR} \over {4\pi \,{ \in _0}\,{d^2}}}$$
C
$${q \over {4\pi \,{ \in _0}}}\left[ {{1 \over R} - {1 \over {\sqrt {{R^2} + {d^2}} }}} \right]$$
D
zero
3
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A charged ball $$B$$ hangs from a silk thread $$S,$$ which makes angle $$\theta $$ with a large charged conducting sheet $$P,$$ as shown in the figure. The surface charge density $$\sigma $$ of the sheet is proportional to AIEEE 2005 Physics - Electrostatics Question 206 Englishf
A
$$\cot \,\theta $$
B
$$\cos \,\theta $$
C
$$\tan \,\theta $$
D
$$\sin \,\theta $$
4
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
$$3$$ $$F/8$$
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