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

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A capacitor $C_{1}$ of capacitance $5 μ F$ is charged to a potential of $30 V$ using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor $C_{2}$ of capacitance $10 μ F$ as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor $C_{2}$ is _____ $μ C$ .

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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 June 2022 Shift 1>Q 190

A parallel plate capacitor filled with a medium of dielectric constant

10

, is connected across a battery and is charged. The dielectric slab is replaced by another slab of dielectric constant

15

. Then the energy of capacitor will

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 29 June 2022 Shift 1>Q 191

A positive charge particle of

100 mg

is thrown in opposite direction to a uniform electric field of strength

1 \times 10^{5} N C^{- 1}

. If the charge on the particle is

40 μ C

and the initial velocity is

200 {m s}^{- 1}

, how much distance it will travel before coming to the rest momentarily

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 29 June 2022 Shift 2>Q 192

Two point charges

Q

each are placed at a distance

d

apart. A third point charge

q

is placed at a distance

x

from mid-point on the perpendicular bisector. The value of

x

at which charge

q

will experience the maximum Coulomb's force is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 29 June 2022 Shift 2>Q 193

A capacitor is discharging through a resistor

R

. Consider in time

t_{1}

, the energy stored in the capacitor reduces to half of its initial value and in time

t_{2}

, the charge stored reduces to one eighth of its initial value. The ratio

\frac{t_{1}}{t_{2}}

will be

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 29 June 2022 Shift 2>Q 194

If the electric potential at any point

(x, y, z) m

in space is given by

V = 3 x^{2}

volt. The electric field at the point

(1, 0, 3) m

will be :

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 25 July 2022 Shift 1>Q 195

A condenser of

2 μ F

capacitance is charged steadily from

0

5 C

. Which of the following graph represents correctly the variation of potential difference

(V)

across its plates with respect to the charge

(Q)

on the condenser?

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 25 July 2022 Shift 1>Q 196

The volume charge density of a sphere of radius $6 m$ is $2 μC {cm}^{- 3}$ . The number of lines of force per unit surface area coming out from the surface of the sphere is _____ $\times 10^{10} N C^{- 1} .$

[Given : Permittivity of vacuum $ϵ_{0} = 8.85 \times 10^{- 12} C^{2} N^{- 1} - m^{- 2}$ ]

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 13 - Electrostatics>JEE Main - 25 July 2022 Shift 2>Q 197

Capacitance of an isolated conducting sphere of radius

R_{1}

becomes

n

times when it is enclosed by a concentric conducting sphere of radius

R_{2}

connected to earth. The ratio of their radii

(\frac{R_{2}}{R_{1}})

is:

Important Questions on Electrostatics

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