1
JEE Advanced 2014 Paper 1 Offline
MCQ (More than One Correct Answer)
+3
-0
Let $${E_1}\left( r \right),{E_2}\left( r \right)$$ and $${E_3}\left( r \right)$$ be the respective electric field at a distance $$r$$ from a point charge $$Q,$$ an infinitely long wire with constant linear charge density $$\lambda ,$$ and an infinite plane with uniform surface charge density $$\sigma .$$ If $$E{}_1\left( {{r_0}} \right) = {E_2}\left( {{r_0}} \right) = {E_3}\left( {{r_0}} \right)$$ at a given distance $${r_0}.$$ then
A
$$Q = 4\sigma \pi r_0^2$$
B
$${r_0} = {\lambda \over {2\pi \sigma }}$$
C
$${E_1}\left( {{r_0}/2} \right) = 2{E_2}\left( {{r_0}/2} \right)$$
D
$${E_2}\left( {{r_0}/2} \right) = 4{E_3}\left( {{r_0}/2} \right)$$
2
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
3
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
4
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 $$x=+a/2.$$
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