1
JEE Advanced 2015 Paper 2 Offline
+4
-2
Consider a uniform spherical charge distribution of radius $${R_1}$$ centred at the origin $$O.$$ In this distribution, a spherical cavity of radius $${R_2},$$ centred at $$P$$ with distance $$OP=a$$ $$= {R_1} - {R_2}$$ (see figure) is made. If the electric field inside the cavity at position $$\overrightarrow r$$ is $$\overrightarrow E \overrightarrow {\left( r \right)} ,$$ then the correct statement(s) is (are)

A
$$\overrightarrow E$$ is uniform, its magnitude is independent of $${R_2}$$ but its direction depends on $$\overrightarrow r .$$
B
$$\overrightarrow E$$ is uniform, its magnitude depends on $${R_2}$$ and its direction depends on $$\overrightarrow r .$$
C
$$\overrightarrow E$$ is uniform, its magnitude is independent of a but its direction depends on $$\overrightarrow a$$
D
$$\overrightarrow E$$ is uniform and both its magnitude and direction depend on $$\overrightarrow a$$
2
JEE Advanced 2014 Paper 2 Offline
+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
$${E_3} > {E_2} > {E_1}$$
3
JEE Advanced 2014 Paper 2 Offline
+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
4
JEE Advanced 2014 Paper 1 Offline
+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
$${E_2}\left( {{r_0}/2} \right) = 4{E_3}\left( {{r_0}/2} \right)$$
EXAM MAP
Medical
NEET