1
JEE Advanced 2014 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Charges $$Q,$$ $$2Q$$ and $$4Q$$ are uniformly distributed in three dielectric solid spheres $$1,2$$ and $$3$$ of radii $$R/2,R$$ and $$2R$$ respectively, as shown in figure. If magnitude of the electric fields at point $$P$$ at a distance $$R$$ from the center of sphere $$1,2$$ and $$3$$ are $${E_1}$$, $${E_2}$$ and $${E_3}$$ respectively, then

A
$${E_1} > {E_2} > {E_3}$$
B
$${E_3} > {E_1} > {E_2}$$
C
$${E_2} > {E_1} > {E_3}$$
D
$${E_3} > {E_2} > {E_1}$$
2
JEE Advanced 2014 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

Four charges Q1, Q2, Q3 and Q4 of same magnitude are fixed along the x axis at x = $$-$$2a, $$-$$a, +a and +2a, respectively. A positive charge q is placed on the positive y axis at a distance b > 0. Four options of the signs of these charges are given in List I. The direction of the forces on the charge q is given in List II. Match List I with List II and select the correct answer using the code given below the lists.

List I List II
P. Q$$_1$$, Q$$_2$$, Q$$_3$$, Q$$_4$$ all positive 1. +x
Q. Q$$_1$$, Q$$_2$$ positive; Q$$_3$$, Q$$_4$$ negative 2. $$-$$x
R. Q$$_1$$, Q$$_4$$ positive; Q$$_2$$, Q$$_3$$ negative 3. +y
S. Q$$_1$$, Q$$_3$$ positive; Q$$_2$$, Q$$_4$$ negative 4. $$-$$y

A
P-3, Q-1, R-4, S-2
B
P-4, Q-2, R-3, S-1
C
P-3, Q-1, R-2, S-4
D
P-4, Q-2, R-1, S-3
3
JEE Advanced 2013 Paper 1 Offline
MCQ (Single Correct Answer)
+4
-1
Two non-conducting solid spheres of radii $$R$$ and $$2R,$$ having uniform volume charge densities $${\rho _1}$$ and $${\rho _2}$$ respectively, touch each other. The net electric field at a distance $$2$$ $$R$$ from the center of the smaller sphere, along the line joining the centers of the spheres, is zero. The ratio $${{{\rho _1}} \over {{\rho _2}}}$$ can be
A
$$-4$$
B
$$- {{32} \over {25}}$$
C
$${{32} \over {25}}$$
D
$$4$$
4
IIT-JEE 2012 Paper 1 Offline
MCQ (Single Correct Answer)
+4
-1
Two large vertical and parallel metal plates having a separation of $$1$$ $$cm$$ are connected to a $$DC$$ voltage source of potential difference $$X$$. A proton is released at rest midway between the two plates. It is found to move at $${45^ \circ }$$ to the vertical JUST after release. Then $$X$$ is nearly
A
$$1 \times {10^{ - 5}}\,\,V$$
B
$$1 \times {10^{ - 7}}\,\,V$$
C
$$1 \times {10^{ - 9}}\,\,V$$
D
$$1 \times {10^{ - 10}}\,\,V$$
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