HARD

12th West Bengal Board

IMPORTANT

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A uniformly charged thin spherical shell of radius $R$ carries uniform surface charge density of $σ$ per unit area. It is made of two hemispherical shells, held together by pressing them with a force $F$ (see figure), $F$ is proportional to

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Important Questions on Gauss' Law and its Application

HARD

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 3 - Gauss' Law and its Application>EXERCISE 3>Q 18

Let there be a spherically symmetric charge distribution with charge density varying as

ρ (r) = ρ_{0} (\frac{5}{4} - \frac{r}{R})

up to

r = R

and

ρ (r) = 0

for

r > R,

where

r

is the distance from the origin. The electric field at a distance

r (r < R)

from the origin is given by

HARD

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 3 - Gauss' Law and its Application>EXERCISE 3>Q 19

A solid sphere of radius

R

has a charge

Q

distributed in its volume with a charge density

ρ = k r^{a},

where

k

and

a

constants and

r

is the distance from its centre. If the electric field at

\frac{R}{2}

\frac{1}{8}

times that at

r = R,

find the value of

a .

MEDIUM

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 3 - Gauss' Law and its Application>EXERCISE 3>Q 20

Find magnitude of electric field. Let

ρ (r) = \frac{Q r}{π R^{4}}

be the charge density distribution for a solid sphere of radius

R

and total charge

Q .

For a point

P

inside the sphere at distance

r_{1}

from the centre of the sphere.

HARD

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 3 - Gauss' Law and its Application>EXERCISE 3>Q 21

A spherical shell of radius

R

has a charge

+ q

units. The electric field due to the shell at a point

MEDIUM

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 3 - Gauss' Law and its Application>EXERCISE 3>Q 22

Which one of the following graphs Fig. 3.80, represents the variation of electric field with distance

r

from the centre of a charged spherical conductor of radius

R

MEDIUM

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 3 - Gauss' Law and its Application>EXERCISE 3>Q 23

A metallic spherical shell of radius

R

has a charge

- Q

on it. A point charge

+ Q

is placed at the centre of the shell. Which of the graphs shown below is Fig. 3.81 may correctly represent the variation of the electric field

E

with distance

r

from the centre of the shell ?

HARD

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 3 - Gauss' Law and its Application>EXERCISE 3>Q 24

Two large metal plates are placed parallel to each other. The inner surfaces of plates are charged to

+ σ

and

- σ ({cm}^{- 2})

The outer surfaces are neutral. The electric field in the region between the plates and outside the plates is

HARD

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 3 - Gauss' Law and its Application>EXERCISE 3>Q 25

A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume as shown in the Figure (Fig. 3.82). The electric field inside the emptied sphere is

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A uniformly charged thin spherical shell of radius $R$ carries uniform surface charge density of σ per unit area. It is made of two hemispherical shells, held together by pressing them with a force F (see figure), F is proportional to

Important Questions on Gauss' Law and its Application

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A uniformly charged thin spherical shell of radius $R$ carries uniform surface charge density of $σ$ per unit area. It is made of two hemispherical shells, held together by pressing them with a force $F$ (see figure), $F$ is proportional to