Explain Quantization of charge

What does an electric dipole experience when kept with an angle in a uniform electric field and non−uniform electric field?

A hollow metal ball carrying an electric charge produces no electric

field at points

(a) outside the sphere

(b) on its surface

(c) inside the sphere

(d) at a distance more than twice

In a region of uniform electric field E, a hemispherical body is placed in such a way that the field is parallel to its base(as shown in the figure).What is the total flux linked with the curved surface?

An electric dipole is placed in a uniform electric field of intensity E. Let θ be the angle between dipole moment and electric field.

(a)Derive an expression for the torque acting on the electric dipole in vector form. (2)

(b)What orientation of the dipole corresponds to stable and unstable equilibrium? (1)

(c)Write the equation of potential energy corresponds to stable equilibrium (1)

(a)Name the theorem used to find the electric flux through a surface enclosing charge.

(b) Using the theorem,derive an expression for the electric field due to an infinite plane sheet with surface charge density σ

An oil drop of charge of 2 electrons fall freely with a terminal speed. Determine the mass of oil drop so, it can move upward with same terminal speed, if electric field of 2x10³ V/m.

Calculate the work done in carrying a charge q once round over a closed circular path of radius 'r' and a charge Q is at the centre.

What is the electric field intensity at point at a distance 20 cm on a line making an angle 45˚ with the axis of the electric dipole of dipole moment 10 Cm?

An electric dipole with dipole moment 4x10^-9 C m is aligned at 30° with the direction of a uniform electric field of magnitude 5x10⁴N/C. Find the value of torque acting on the dipole.

A polythene piece rubbed with wool is found to have a negative charge of -3x10^-7 C.

a. Estimate the number of electrons transferred (from which to which?)

b. Is there a transfer of mass from wool to polythene?

A pendulum bob of mass m and charge q is suspended by a thread of length l. The pendulum is placed in a region of a uniform electric field E directed vertically upward. If the electrostatic force acting on the sphere is less than that of gravitational force, what is the time period T with which the pendulum oscillates in the field?

An electron is projected with velocity 10⁷ m/s at an angle θ(=30˚) with the horizontal in a region of uniform electric field of 5000 N/C vertically upwards. Find the maximum distance covered by the electron in vertical direction above its initial level.

a. “ Electric charge of a body is quantised”. Explain the statement.

b. Why can one ignore quantisation of electric charge when dealing with macroscopic or large scale charges?

March 2012:

Name the physical quantity which has its unit Joule/Coulomb. Is it a vector or a scalar?

b. Two plane sheets of charge densities +σ and -σ are kept in air as shown in figure. What are the electric field intensities at points A and B?

Write the expression for the electric field due to a uniformly charged plane sheet. How this electric field differ from field due to a point charge ?

Gauss's law can be used to determine the electric field due to a charge distribution.

a. Below are some statements about Gauss's law. State true or false.

i. Gauss's law is valid only for symmetrical charge distributions.

ii. The electric field calculated by Gauss's law is the field due to charges inside the Gaussian surface.

b. Apply Gauss's law to find the electric field due to an infinitely long plane sheet of charge.

a. Gauss's law is true for any closed surface, no matter what its shape or size. Say the following statements are true or false.

i. Gauss's law implies that the total electric flux through a closed surface is zero if no charge is enclosed by the surface.                                                                                                        

ii. This law is useful for the calculation of electrostatic field when the system don't possess any symmetry.                                                                                                                    

b. In a uniform electric field, we know that the dipole experiences no net force , but experiences a torque having a relation with p and E given by ....................... where the parameters p and E are having their usual meaning.  

a. All free charges are integral multiples of basic unit of charge e. The quantisation rule of electric charge implies

(a) Q=e                             (b)Q=1/e

(c)Q= ne                            (d)Q=e²

b. Match the following quantities in column A with their units in column B

c. Electric field is an important way of characterising the electrical environment of a system of charges.

Two point charges q₁ and q₂ of magnitude +10^-8 C and – 10^-8 C respectively are placed 0.1 m apart. Calculate the fields at points A, B and C as shown in figure

The value of electric field inside a charged conductor is ....................

What should be the flux linked with one face of a cube, if a point charge q is placed at one corner of a cube?

(a)q/ε₀                              (b)q/2ε₀                                  (c)q/3ε₀                              (d)q/8ε₀

A point charge Q is placed at the centre of a hemisphere. The ratio of electric flux passing through curved surface and plane surface of the hemisphere is :

(a)1:1                                            (b)1:2

(c)2π:1                                         (d)4π:1

A surface S=10 is kept in an electric field  . How much electric flux will come out through the surface?

(a)40 unit

(b)50 unit

(c)30 unit

(d)20 unit

Two point charges +4e and +e are kept at a distance x apart. At what distance charge q must be placed from a charge +e so that q is in equilibrium?

(a)x/2                                        (b)2x/3

(c)x/3                                        (d)x/3

Force acting upon a charged particle, kept between the charged pair of plates is F. If one of the plates is removed, force acting on the same particle will become :

(a)3F

(b)F/2

(c)F

(d)2F

The intensity of electric field due to a proton at a distance of 0.2 nm is

(a)3.6x10⁸ N/C

(b)3.6x10¹⁰ N/C

(c)3.6x10¹²N/C

(d)3.6x10¹³N/C

A positively charged ball hangs from a silk thread. We put a positive test charge q_o at a point and measure, then it can be predicted that the electric field strength E becomes:

(a)Greater than                           (b) Equal to

(c) Less than                                 (d)Cannot be estimated

A body can be negatively charged by

(a)giving excess of electrons to it.

(b)removing from electrons from it.

(c)giving some protons to it.

(d)removing some neutrons from it

There are two charges +1μC and +5μC. The ratio of the forces acting on them will be

(a)1:5 (b)1:1 (c)5:1 (d)1:25

An isolated solid metallic sphere is given +Q charge. The charge will be distributed on the sphere:

(a)Uniformly, but only on the surface

(b)Only on surface but non uniformly

(c) uniformly inside the volume.

(d) Non-uniformly inside the volume

(4). Electric charge in uniform motion produces

(a) An electric field only

(b) A magnetic field only

(c) Both (a) and (b)

(d) Neither electric nor magnetic field

If a glass rod is rubbed with silk, it acquires a positive charge because:

(a) Protons are added to it

(b)Protons are removed from it

(c) Electrons are added to it

(d)Electrons are removed from it

A billion electrons are added to a body, its charge becomes:

(a) 1.6x10^-19C (b) 1.6x10^-28C

(c)-1.6x10^-10C (d)-1.6x10^-28C

^{In comparison with the electrostatic between two electrons, the electrostatic force between two protons is}

^{(a)Greater (b)Same}

^{(c) Smaller (d) Zero}