A uniform electric field, E → = - 400 3 j ^ N C - 1 is applied in a region. A charged particle of mass m carrying positive charge q is projected in this region with an initial speed of 2 10 × 10 6 m s - 1 . This particle is aimed to hit a target T , which is 5 m away from its entry point into the field as shown schematically in the figure. Take q m = 10 10 C kg - 1 . Then

time taken by the particle to hit T could be 5 6 μ s as well as 5 2 μ s

the particle will hit T if projected at an angle 45 ° from the horizontal

time taken by the particle to hit T is 5 3 μ s

A charged shell of radius R carries a total charge Q . Given Φ as the flux of electric field through a closed cylindrical surface of height h , radius r and with its center same as that of the shell. Here, center of the cylinder is a point on the axis of the cylinder which is equidistant from its top and bottom surfaces. Which of the following option(s) is/are correct? [ ∈ 0 is the permittivity of free space]

If h < 8 R 5 and r = 3 R 5 then Φ = 0

If h > 2 R and r = 4 R 5 then Φ = Q 5 ∈ 0

A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V 0 . A hole with a small area α 4 π R 2 α ≪ 1 is made on the shell without affecting the rest of the shell. Which one of the following statements is correct?

The ratio of the potential at the center of the shell to that of the point at 1 2 R from center towards the hole will be 1 - α 1 - 2 α .

The magnitude of electric field at the center of the shell is reduced by α V 0 2 R .

The potential at the center of the shell is reduced by 2 α V 0 .

The magnitude of electric field at a point, located on a line passing through the hole and shell's center on a distance 2 R from the center of the spherical shell will be reduced by α V 0 2 R .

HARD

JEE Advanced

IMPORTANT

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Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point by two non-conducting, massless strings of same length. At equilibrium, the angle between the strings is $α$ . The spheres are now immersed in a dielectric liquid of density $800 kg m^{- 3}$ and dielectric constant $21$ . If the angle between the strings remains the same after the immersion, then

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Important Questions on Electrostatics

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 2 - 2020>Q 4

Two capacitors with capacitance values

C_{1} = (2000 \pm 10) pF

and

C_{2} = (3000 \pm 15) pF

are connected in series. The voltage applied across this combination is

V = (5.00 \pm 0.02) V

. The percentage error in the calculation of the energy stored in this combination of capacitors is __________.

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 2 - 2019>Q 5

An electric dipole with dipole moment

\frac{p_{0}}{\sqrt{2}} (\hat{i} + \hat{j})

is held fixed at the origin

O

in the presence of an uniform electric field of magnitude

E_{0} .

If the potential is constant on a circle of radius

R

centered at the origin as shown in figure, then the correct statement(s) is/are:
(

ε_{0}

is permittivity of free space,

R ≫

dipole size)

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 2 - 2018>Q 6

An infinitely long thin non-conducting wire is parallel to the z - axis and carries a uniform line charge density

λ

. It pierces a thin non-conducting spherical shell of radius

R

in such a way that the arc

P Q

subtends an angle

120^{o}

at the centre

O

of the spherical shell, as shown in the figure. The permittivity of free space is

ϵ_{0}

. Which of the following statements is (are) true?
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HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 2 - 2018>Q 7

A particle, of mass

10^{- 3} kg

and charge

1.0 C

, is initially at rest. At time

t = 0

, the particle comes under the influence of an electric field

\vec{E} (t) = E_{0} \sin (ω t) \hat{i}

, where

E_{0} = 1.0 N C^{- 1}

and

ω = 10^{3} rad s^{- 1}

. Consider the effect of only the electrical force on the particle. Then the maximum speed, in

m s^{- 1}

, attained by the particle at subsequent times is ____________.

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 2 - 2017>Q 9

A point charge

+ Q

is placed just outside an imaginary hemispherical surface of radius R as shown in the figure. Which of the following statements is/are correct?

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 2 - 2015>Q 11

A parallel plate capacitor having plates of area

S

and plate separation

d

, has capacitance

C_{1}

in air. When two dielectrics of different relative permittivities (

ε_{1} = 2

and

ε_{2} = 4

) are introduced between the two plates as shown in the figure, the capacitance becomes

C_{2}

. The ratio

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

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 2 - 2015>Q 12

Consider a uniform spherical charge distribution of radius

R_{1}

centred at the origin O. In this distribution, a spherical cavity of radius

R_{2}

, centred at

P

with distance

O P = a = R_{1} - R_{2}

(see figure) is made. If the electric field inside the cavity at position

\vec{r}

\vec{E} (\vec{r})

, then the correct statement(s) is (are)

Question Image

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 2 - 2014>Q 13

Charges Q, 2Q and 4Q are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii R/2, R and 2R respectively, as shown in the figure. If magnitudes of the electric fields at point P at a distance R from the centre of spheres 1, 2 and 3 are

E_{1}, E_{2}

and

E_{3}

respectively, then

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Important Questions on Electrostatics

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