1
JEE Advanced 2024 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
Two beads, each with charge $q$ and mass $m$, are on a horizontal, frictionless, non-conducting, circular hoop of radius $R$. One of the beads is glued to the hoop at some point, while the other one performs small oscillations about its equilibrium position along the hoop. The square of the angular frequency of the small oscillations is given by
[ $\varepsilon_0$ is the permittivity of free space.]
2
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?
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3
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?
4
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 |
Questions Asked from Electrostatics (MCQ (Single Correct Answer))
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