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 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

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

mass density of the spheres is 840 kg m - 3

electric force between the spheres reduces

the tension in the strings holding the spheres remains unchanged

An electric dipole with dipole moment p 0 2 i ^ + 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)

Total electric field at point B is E → B = 0

The magnitude of total electric field on any two points of the circle will be same

Total electric field at point A is E → A = 2 E 0 i ^ + j ^

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 .

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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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Important Questions on Electrostatics

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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

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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}}

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JEE Advanced

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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

Question Image

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 2 - 2013>Q 15

Two non-conducting spheres of radii $R_{1}$ and $R_{2}$ and carrying uniform volume charge densities $+ ρ$ and $- ρ$ , respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region,
Question Image

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JEE Advanced

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 1 - 2020>Q 17

A uniform electric field, $\vec{E} = - 400 \sqrt{3} \hat{j} N C^{- 1}$ 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 $2 \sqrt{10} \times 10^{6} m s^{- 1}$ . 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 $\frac{q}{m} = 10^{10} C {kg}^{- 1}$ . Then

Question Image

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Electrostatics>JEE Advanced Paper 1 - 2020>Q 18

A circular disc of radius

R

carries surface charge density

σ (r) = σ_{0} (1 - \frac{r}{R})

, where

σ_{0}

is a constant and

r

is the distance from the center of the disc. Electric flux through a large spherical surface that encloses the charged disc completely is

ϕ_{0}

. Electric flux through another spherical surface of radius

\frac{R}{4}

and concentric with the disc is

ϕ

. Then the ratio

\frac{ϕ_{0}}{ϕ}

Important Questions on Electrostatics

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