1
JEE Advanced 2018 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
The electric field $$E$$ is measured at a point $$P(0,0,d)$$ generated due to various charge distributions and the dependence of $$E$$ on $$d$$ is found to be different for different charge distributions. List-$${\rm I}$$ contains different relations between $$E$$ and $$d$$. List-$${\rm II}$$ describes different electric charge distributions, along with their locations. Match the functions in List-$${\rm I}$$ with the related charge distributions in List-$${\rm II}$$.
LIST - I | LIST - II | ||
---|---|---|---|
P. | $$E$$ is independent of $$d$$ | 1. | A point charge Q at the origin |
Q. | $$E\, \propto \,1/d$$ | 2. | A small dipole with point charges $$Q$$ at $$\left( {0,0,l} \right)$$ and $$-Q$$ at $$\left( {0,0, - l} \right).$$ Take $$2l < < d$$ |
R. | $$E\, \propto \,1/{d^2}$$ | 3. | An infinite line charge coincident with the x-axis, with uniform linear charge density $$\lambda $$ |
S. | $$E\, \propto \,1/{d^3}$$ | 4. | Two infinite wires carrying uniform linear charge density parallel to the $$x$$-axis. The one along $$\left( {y = 0,z = l} \right)$$ has a charge density $$ + \lambda $$ and the one along $$\left( {y = 0,z = - l} \right)$$ has a charge density Take |
5. | Infinite plane charge coincident
with the $$xy$$-plane with uniform surface charge density |
2
JEE Advanced 2015 Paper 2 Offline
MCQ (Single Correct Answer)
+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)

3
JEE Advanced 2014 Paper 2 Offline
MCQ (Single Correct Answer)
+4
-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


4
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 |
Questions Asked from Electrostatics (MCQ (Single Correct Answer))
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