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

EASY

JEE Main

IMPORTANT

Earn 100

In a cuboid of dimension $2 L \times 2 L \times L$ , a charge $q$ is placed at the centre of the surface $S$ having area of $4 L^{2}$ . The flux through the opposite surface to $S$ is given by

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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 - 29 January 2023 Shift 1>Q 228

A point charge

q_{1} = 4 q_{0}

is placed at origin. Another point charge

q_{2} = - q_{0}

is placed at

x = 12 cm

. Charge of proton is

q_{0}

. The proton is placed on

x

-axis so that the electrostatic force on the proton in zero. In this situation, the position of the proton from the origin is ______

cm

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 29 January 2023 Shift 2>Q 229

A point charge

2 \times 10^{- 2} C

is moved from

P

S

in a uniform electric field of

30 N C^{- 1}

directed along positive

x

-axis. If coordinates of

P

and

S

are

(1, 2, 0) m and (0, 0, 0) m

respectively, the work done by electric field will be

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 29 January 2023 Shift 2>Q 230

For a charged spherical ball, electrostatic potential inside the ball varies with $r$ as $V = 2 a r^{2} + b$ .

Here, $a$ and $b$ are constant and $r$ is the distance from the center. The volume charge density inside the ball is $- λ a ε$ . The value of $λ$ is ______.

$ε =$ permittivity of medium.

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 30 January 2023 Shift 1>Q 231

Two isolated metallic solid spheres of radii

R

and

2 R

are charged such that both have same charge density

σ

. The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is

σ^{'}

. The ratio

\frac{σ^{'}}{σ}

is :

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 30 January 2023 Shift 1>Q 232

A capacitor of capacitance

900 µ F

is charged by a

100 V

battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of uncharged capacitor connected to positive plate and another plate of uncharged capacitor connected to negative plate of the charged capacitor. The loss of energy in this process is measured as

x \times 10^{- 2} J

. The value of

x

is ______.

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 30 January 2023 Shift 2>Q 233

As shown in the figure, a point charge $Q$ is placed at the centre of conducting spherical shell of inner radius $a$ and outer radius $b$ . The electric field due to charge $Q$ in three different regions $I, I I and I I I$ is given by : $(I : r < a, I I : a < r < b, I I I : r > b)$

Question Image

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 30 January 2023 Shift 2>Q 234

As shown in figure, a cuboid lies in a region with electric field $E = 2 x^{2} \hat{i} - 4 y \hat{j} + 6 \hat{k} N C^{- 1}$ . The magnitude of charge within the cuboid is $n ε_{0} C$ .

The value of $n$ is ______ (if dimension of cuboid is $1 \times 2 \times 3 m^{3}$ )

Question Image

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 31 January 2023 Shift 1>Q 235

Which of the following correctly represents the variation of electric potential

(V)

of a charged spherical conductor of radius

(R)

with radial distance

(r)

from the centre?

In a cuboid of dimension 2L×2L×L , a charge q is placed at the centre of the surface S having area of 4L2 . The flux through the opposite surface to S is given by

Important Questions on Electrostatics

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In a cuboid of dimension $2 L \times 2 L \times L$ , a charge $q$ is placed at the centre of the surface $S$ having area of $4 L^{2}$ . The flux through the opposite surface to $S$ is given by