1
JEE Advanced 2023 Paper 2 Online
MCQ (Single Correct Answer)
+3
-1
An electric dipole is formed by two charges $+q$ and $-q$ located in $x y$-plane at $(0,2) \mathrm{mm}$ and $(0,-2) \mathrm{mm}$, respectively, as shown in the figure. The electric potential at point $P(100,100) \mathrm{mm}$ due to the dipole is $V_0$. The charges $+q$ and $-q$ are then moved to the points $(-1,2) \mathrm{mm}$ and $(1,-2) \mathrm{mm}$, respectively. What is the value of electric potential at $P$ due to the new dipole?


2
JEE Advanced 2019 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V0. A hole with a small area $$\alpha $$4$$\pi $$R2($$\alpha $$ << 1) is made on the shell without affecting the rest of the shell. Which one of the following statements is correct?
3
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 |
4
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)

Questions Asked from Electrostatics (MCQ (Single Correct Answer))
Number in Brackets after Paper Indicates No. of Questions
JEE Advanced 2023 Paper 2 Online (1)
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