Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one. Reason R : Capacitance of metallic spheres depend on the radii of spheres. In the light of the above statements, choose the correct answer from the options given below.

Both A and R are true and R is the correct explanation of A

Both A and R are true but R is not the correct explanation of A

Let σ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different region E I , E I I and E I I I

E → I = - σ ∈ 0 n ^ , E → I I = 0 , E → I I I = σ ∈ 0 n ^

E → I = 2 σ ∈ 0 n ^ , E → I I = 0 , E → I I I = 2 σ ∈ 0 n ^

E → I = 0 , E → I I = σ ∈ 0 n ^ , E → I I I = 0

E → I = σ 2 ∈ 0 n ^ , E → I I = 0 , E → I I I = σ 2 ∈ 0 n ^

Considering a group of positive charges, which of the following statements is correct?

Net potential of the system cannot be zero at a point but net electric field can be zero at that point

Net potential of the system at a point can be zero but net electric field can't be zero at that point

Both the net potential and the net field can be zero at a point

Both the net potential and the net electric field cannot be zero at a point

HARD

JEE Main

IMPORTANT

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Two electrons each are fixed at a distance $2 d .$ A third charge proton placed at the midpoint is displaced slightly by a distance $x (x ≪ d)$ perpendicular to the line joining the two fixed charges. Proton will execute simple harmonic motion having angular frequency:
( $m =$ mass of charged particle)

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Important Questions on Electrostatics

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 24 Feb 2021 Shift 2>Q 44

A point charge of $+ 12 μ C$ is at a distance $6 cm$ vertically above the centre of a square of side $12 cm$ as shown in figure. The magnitude of the electric flux through the square will be _________ $\times 10^{3} N m^{2} C^{- 1} .$ (Write the value to the nearest integer)

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 25 Feb 2021 Shift 1>Q 45

The electric field in a region is given by

\vec{E} = (\frac{3}{5} E_{0} \hat{i} + \frac{4}{5} E_{0} \hat{j}) N C^{- 1}

. The ratio of flux of reported field through the rectangular surface of area

0.2 m^{2}

(parallel to

y - z

plane) to that of the surface of area

0.3 m^{2}

(parallel to

x - z

plane) is

a : b = a : 2,

where

a = ?

[Here

\hat{i}, \hat{j}

and

\hat{k}

are unit vectors along

x, y

and

z

-axes respectively]

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 25 Feb 2021 Shift 1>Q 46

512

identical drops of mercury are charged to a potential of

2 V

each. The drops are joined to form a single drop. The potential of this drop is

V

in Volt.

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 25 Feb 2021 Shift 2>Q 47

An electron with kinetic energy

K_{1}

enters between parallel plates of a capacitor at an angle

α

with the plates. It leaves the plates at angle

β

with kinetic energy

K_{2} .

Then the ratio of kinetic energies

K_{1} : K_{2}

will be :

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 25 Feb 2021 Shift 2>Q 48

A charge $q$ is placed at one corner of a cube as shown in figure. The flux of electrostatic field $\vec{E}$ through the shaded area is:

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 25 Feb 2021 Shift 2>Q 49

Two small spheres each of mass $10 mg$ are suspended from a point by threads $0.5 m$ long. They are equally charged and repel each other to a distance of $0.20 m$ . The charge on each of the sphere is $\frac{a}{21} \times 10^{- 8} C .$ The value of $a$ will be ___.[Given $g = 10 m s^{- 2}$ ]

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 25 Feb 2021 Shift 2>Q 50

Two identical conducting spheres with negligible volume have

2.1 nC

and

- 0.1 nC

charges, respectively. They are brought into contact and then separated by a distance of

0.5 m

. The electrostatic force acting between the spheres is ___

\times 10^{- 9} N

.
[Given :

4 π ε_{0} = \frac{1}{9 \times 10^{9}}

SI unit]

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 26 Feb 2021 Shift 1>Q 51

Consider the combination of two capacitors

C_{1}

and

C_{2}

, with

C_{2} > C_{1}

, when connected in parallel, the equivalent capacitance is

10

times the equivalent capacitance of the same connected in series. Calculate the ratio of capacitors,

\frac{C_{2}}{C_{1}}

Two electrons each are fixed at a distance 2d. A third charge proton placed at the midpoint is displaced slightly by a distance xx≪d perpendicular to the line joining the two fixed charges. Proton will execute simple harmonic motion having angular frequency: (m= mass of charged particle)

Important Questions on Electrostatics

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