1
AIEEE 2008
+4
-1
A thin spherical shell of radius $$R$$ has charge $$Q$$ spread uniformly over its surface. Which of the following graphs most closely represents the electric field $$E(r)$$ produced by the shell in the range $$0 \le r < \infty ,$$ where $$r$$ is the distance from the center of the shell?
A
B
c
C
D
2
AIEEE 2007
+4
-1
An electric charge $${10^{ - 3}}\,\,\mu \,C$$ is placed at the origin $$(0,0)$$ of $$X-Y$$ co-ordinate system. Two points $$A$$ and $$B$$ are situated at $$\left( {\sqrt 2 ,\sqrt 2 } \right)$$ and $$\left( {2,0} \right)$$ respectively. The potential difference between the points $$A$$ and $$B$$ will be
A
$$4.5$$ volts
B
$$9$$ volts
C
zero
D
$$2$$ volts
3
AIEEE 2007
+4
-1
Charges are placed on the vertices of a square as shown. Let $$\overrightarrow E$$ be the electric field and $$V$$ the potential at the center. If the charges on $$A$$ and $$B$$ are interchanged with those on $$D$$ and $$C$$ respectively, then
A
$$\overrightarrow E$$ changes, $$V$$ remains unchanged
B
$$\overrightarrow E$$ remains unchanged, $$V$$ changes
C
both $$\overrightarrow E$$ and $$V$$ change
D
$$\overrightarrow E$$ and $$V$$ remain unchanged
4
AIEEE 2007
+4
-1
The potential at a point $$x$$ (measured in $$\mu \,m$$) due to some charges situated on the $$x$$-axis is given by $$V\left( x \right) = 20/\left( {{x^2} - 4} \right)$$ volt
The electric field $$E$$ at $$x = 4\,\mu \,m$$ is given by
A
$$(10/9)$$ volt / $$\mu$$ $$m$$ and in the $$+ ve$$ $$x$$ direction
B
$$\left( {5/3} \right)$$ volt/ $$\mu$$ $$m$$ and in the $$-ve$$ $$x$$ direction
C
$$\left( {5/3} \right)$$ volt/$$\mu$$ $$m$$ and in the $$+ve$$ $$x$$ direction
D
$$\left( {10/9} \right)$$ volt/ $$\mu \,m$$ and in the $$-ve$$ $$x$$ direction
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