1
JEE Advanced 2015 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
The figures below depict two situations in which two infinitely long static line charges of constant positive line charge density $$\lambda$$ are kept parallel to each other. In their resulting electric field, point charges $$q$$ and $$-q$$ are kept in equilibrium between them. The point charges are confined to move in the $$x$$ direction only. If they are given a small displacement about their equilibrium positions, then the correct statement(s) is (are) A
Both charges execute simple harmonic motion
B
Both charges will continue moving in the direction of their displacement
C
Charge $$+q$$ executes simple harmonic motion while charge $$-q$$ continues moving in the direction of its displacement
D
Charge $$-q$$ executes simple harmonic motion while charge $$+q$$ continues moving in the direction of its displacement
2
JEE Advanced 2014 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
A parallel plate capacitor has a dielectric slab of dielectric constant $$K$$ between its plates that covers $$1/3$$ of the area of its plates, as shown in the figure. The total capacitance of the capacitor is $$C$$ while that of the portion with dielectric in between is $${C_1}.$$ When the capacitor is charged, the plate area covered by the dielectric gets charge $${Q_1}$$ and the rest of the area gets charge $${Q_2}.$$ The electric field in the dielectric is $${E_1}$$ and that in the other portion is $${E_2}.$$ Choose the correct option/ options, ignoring edge effects. A
$${{{E_1}} \over {{E_2}}} = 1$$
B
$${{{E_1}} \over {{E_2}}} = {1 \over K}$$
C
$${{{Q_1}} \over {{Q_2}}} = {3 \over K}$$
D
$${C \over {{C_1}}} = {{2 + K} \over K}$$
3
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
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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