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

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An electric field is given by $(6 \hat{i} + 5 \hat{j} + 3 \hat{k}) N C^{- 1}$ . The electric flux through a surface area $30 \hat{i} m^{2}$ lying in YZ-plane(in SI unit) is:

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Important Questions on Electrostatics

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>Exercise 1>Q 251

The electrostatic potential due to an electric dipole at a distance

r

varies as :

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>Exercise 1>Q 252

A capacitor of capacitance

C

and potential

V

has energy

E .

It is connected to another capacitor of capacitance

2 C

and potential

2 V

. Then the loss of energy is

\frac{x}{3} E

, where

x

is _______.

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>Exercise 1>Q 253

A particle of charge

- q

and mass

m

moves in a circle of radius

r

around an infinitely long line charge of linear density

+ λ

. Then time period will be given as:
(Consider

k

as Coulomb's constant)

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>Exercise 1>Q 254

Two identical charged spheres are suspended by strings of equal lengths. The string make an angle of

37 °

with each other. When suspended in a liquid of density

0.7 g {cm}^{- 3}

, the angle remains same. If density of material of the sphere is

1.4 g {cm}^{- 3}

, the dielectric constant of the liquid is __________

(\tan 37 ° = \frac{3}{4})

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>Exercise 1>Q 255

Two charges

q

and

3 q

are separated by a distance ‘

r

’ in air. At a distance

x

from charge

q

, the resultant electric field is zero. The value of

x

is :

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>Exercise 1>Q 256

A parallel plate capacitor with plate separation

5 mm

is charged up by a battery. It is found that on introducing a dielectric sheet of thickness

2 mm

, while keeping the battery connections intact, the capacitor draws

25 %

more charge from the battery than before. The dielectric constant of the sheet is ____.

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>Exercise 1>Q 257

Force between two point charges

q_{1}

and

q_{2}

placed in vacuum at

r

cm

apart is

F

. Force between them when placed in a medium having dielectric

K = 5

\frac{r}{5}

cm

apart will be:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>Exercise 1>Q 258

The distance between charges $+ q$ and $- q$ is $2 l$ and between $+ 2 q$ and $- 2 q$ is $4 l$ . The electrostatic potential at point $P$ at a distance $r$ from centre $O$ is $- α [\frac{q l}{r^{2}}] \times 10^{9} V$ , where the value of $α$ is ______. (Use $\frac{1}{4 π ε_{0}} = 9 \times 10^{9} N m^{2} C^{- 2}$ )

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An electric field is given by (6i^+5j^+3k^) N C-1. The electric flux through a surface area 30i^ m2 lying in YZ-plane(in SI unit) is:

Important Questions on Electrostatics

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An electric field is given by $(6 \hat{i} + 5 \hat{j} + 3 \hat{k}) N C^{- 1}$ . The electric flux through a surface area $30 \hat{i} m^{2}$ lying in YZ-plane(in SI unit) is: