1
JEE Advanced 2013 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
Two non-conducting spheres of radii $${R_1}$$ and $${R_2}$$ and carrying uniform volume charge densities $$+ \rho$$ and $$- \rho ,$$ respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region

A
The electrostatic field is zero
B
The electrostatic potential is constant
C
The electrostatic field is constant in magnitude
D
The electrostatic field has same direction
2
IIT-JEE 2012 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
Six point charges are kept at the vertices of a regular hexagon of side $$L$$ and center $$O,$$ as shown in the figure. Given that $$K = {1 \over {4\pi {\varepsilon _0}}}{q \over {{L^2}}},$$ which of the following statement(s) is (are) correct ?
A
The electric field at $$O$$ is $$6K$$ along $$OD$$
B
The potential at $$O$$ is zero
C
The potential at all points on the line $$PR$$ is same
D
The potential at all points on the line $$ST$$ is same
3
IIT-JEE 2012 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
A cubical region of side $$a$$ has its center at the origin. It encloses three fixed point charges, $$-q$$ at $$\left( {0, - a/4,0} \right), + 3q$$ at $$\left( {0,0,0} \right)$$ and $$-q$$ at $$\left( {0, + a/4,0} \right).$$ Choose the correct option(s)
A
The net electric flux crossing the plane $$x=+a/2$$ is equal to the net electric flux crossing the plane $$x=-a/2$$
B
The net electric flux crossing the plane $$y=+a/2$$ is more than the net electric flux crossing the plane $$y=-a/2.$$
C
The net electric flux crossing the entire region is $${q \over {{\varepsilon _0}}}$$
D
The net electric flux crossing the plane $$z = + a/2$$ is equal to the net electric flux crossing the plane $$x=+a/2.$$
4
IIT-JEE 2011 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
A spherical metal shell A of radius $${R_A}$$ and a solid metal sphere $$B$$ of radius $${R_B}\left( { < {R_A}} \right)$$ are kept far apart and each is given charge $$' + Q'.$$ Now they are connected by a thin metal wire. Then
A
$$E_A^{inside} = 0$$
B
$${Q_A} > {Q_B}$$
C
$${{{\sigma _A}} \over {{\sigma _B}}} = {{{R_B}} \over {{R_A}}}$$
D
$$E_A^{on\,\,surface} < \,E_B^{on\,\,surface}$$
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