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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Two identical thin metal plates has charge $q_{1}$ and $q_{2}$ respectively such that $q_{1} > q_{2}$ . The plates were brought close to each other to form a parallel plate capacitor of capacitance $C$ . The potential difference between them is :

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Important Questions on Electrostatics

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 29 July 2022 Shift 2>Q 218

α

particle and a proton are accelerated from rest through the same potential difference. The ratio of linear momenta acquired by above two particles will be :

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 24 January 2023 Shift 1>Q 219

If two charges

q_{1}

and

q_{2}

are separated with distance

d

and placed in a medium of dielectric constant

k

. What will be the equivalent distance between charges in air for the same electrostatic force?

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 24 January 2023 Shift 1>Q 220

A stream of a positively charged particles having

\frac{q}{m} = 2 \times 10^{11} C {kg}^{- 1}

and velocity

{\vec{v}}_{0} = 3 \times 10^{7} \hat{i} m s^{- 1}

is deflected by an electric field

1.8 \hat{j} kV m^{- 1}

. The electric field exists in a region of

10 cm

along

x

direction. Due to the electric field, the deflection of the charge particles in the

y

direction is _____

mm

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 24 January 2023 Shift 2>Q 221

The electric potential at the centre of two concentric half rings of radii $R_{1}$ and $R_{2}$ , having same linear charge density $λ$ is

Question Image .

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 24 January 2023 Shift 2>Q 222

A parallel plate capacitor with air between the plate has a capacitance of

15 pF

. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant

3.5

. Then the capacitance becomes

\frac{x}{4} pF

. The value of

x

is____.

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 25 January 2023 Shift 1>Q 223

A parallel plate capacitor has plate area

40 {cm}^{2}

and plates separation

2 mm

. The space between the plates is filled with a dielectric medium of a thickness

1 mm

and dielectric constant

5

. The capacitance of the system is:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 25 January 2023 Shift 1>Q 224

A uniform electric field of $10 N C^{- 1}$ is created between two parallel charged plates (as shown in figure). An electron enters the field symmetrically between the plates with a kinetic energy $0.5 eV .$ The length of each plate is $10 cm$ . The angle $(θ)$ of deviation of the path of electron as it comes out of the field is ______(in degree).

Question Image

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 25 January 2023 Shift 2>Q 225

A point charge of

10 µ C

is placed at the origin. At what location on the

X

-axis should a point charge of

40 µ C

be placed so that the net electric field is zero at

x = 2 cm

on the

X

-axis ?

Two identical thin metal plates has charge q1 and q2 respectively such that q1>q2. The plates were brought close to each other to form a parallel plate capacitor of capacitance C. The potential difference between them is :

Important Questions on Electrostatics

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Two identical thin metal plates has charge $q_{1}$ and $q_{2}$ respectively such that $q_{1} > q_{2}$ . The plates were brought close to each other to form a parallel plate capacitor of capacitance $C$ . The potential difference between them is :