IMPORTANT

QUESTIONS
ANIKET SINGH
Btech. CSE - CCV
ELECTROSTATICS
1. Derive an expression for the electric field at a point on the axial position of
an electric dipole.
2. Derive an expression for the electric field at a point on the equatorial
position of an electric dipole.
3. Derive an expression for the energy stored in a capacitor. Show that
whenever two conductors share charges by bringing them into
electrical contact, there is a loss of energy.
4. Derive an expression for the effective capacitance when capacitors
are connected in :
(a)series and (b) parallel
 5. Explain the principle of a capacitor and derive an
expression for the capacitance of a parallel plate
capacitor.

6. State Gauss theorem and apply it to find the electric field at a point
due to
(a) a line of charge
(b) A plane sheet of charge
(c) A Charged spherical conducting shell

7. Derive an expression for the torque on an electric dipole in a uniform electric field.

8. Derive an expression for the work done in rotating an electric dipole in a uniform
electric field.
9. Derive an expression for the energy stored (Potential Energy) in a
dipole in a uniform electric field.

10. Derive an expression for the capacitance of a parallel plate

capacitor with (a) a dielectric slab (b) a metallic plate in between the
plates of the capacitor.

11. Define electric potential at a point. Derive an expression for the

electric potential at a point due to (a) a point charge (b) a system of
point charges (c) a dipole.
CURRENT ELECTRICITY
1. Define drift velocity and derive an expression for it.

2. Derive the expression I=nAevd

3. Derive an expression for conductivity in terms of

mobility.

4. Derive an expression for the current in a circuit with

external resistance R when:
(a) 'n' identical cells of emf E and internal resistance r are
connected in series
(b) 'm' identical cells are connected in parallel
5. State and explain Kirchhoff's laws.

6. State and explain the principle of Wheat Stone's principle.

Deduce it using Kirchhoff's laws.

8. Describe how you will determine the resistance of a given

wire using Meter Bridge.

9. Explain the variation of resistance and resistivity with

temperature and hence define temperature coefficient of
resistance and resistivity.
MAGNETIC EFFECT OF CURRENT
1. State Biot- Savart law and apply it to find the magnetic field due to a
circular loop carrying current at a point (a) at its Centre (b) on the axis.

2. State Ampere's circuital law and apply it to find the magnetic field
(a) inside a current carrying solenoid (b) inside a current carrying
toroid.

3. Apply Ampere's circuital law to determine the magnetic field at a

point due to a long straight current carrying conductor.

4. Derive an expression for the force on a current carrying conductor

in a uniform magnetic field.

5. Derive an expression for the force between long straight conductors

carrying current and hence define 1 ampere.
6. Derive an expression for the torque on a current carrying loop in a
uniform magnetic field.

7. Describe the principle construction and working of a Moving coil

galvanometer.

8. Describe the conversion of a moving coil galvanometer into (a)

Ammeter (b) Voltmeter

9. Describe the motion of a charged particle in a magnetic field when

it enters the field (a) perpendicular to the field lines (b) obliquely
making and angle with the field lines.

10. Derive an expression for the magnetic dipole moment of a

revolving electron and hence define Bohr's magneton.
ELECTROMAGNETIC INDUCTION (EMI)

1. State and Explain Faraday's laws of electromagnetic induction.

2. State Lenz' Law and show that it is in accordance with the law of
conservation of energy.

3. Use Lenz' law to find the direction of induced emf in a coil when
(a) a north pole is brought towards the coil (b) north pole taken
away from the coil (c) A south pole is brought towards the coil and
(d) a south pole is taken away from the coil, Draw illustrations in
each case.

4. What is motional emf. Deduce an expression for it. State

Fleming's right hand rule to find the direction of induced emf.
5. Define self-induction and self-inductance. What is its unit? Write its
dimensions.

6. Derive an expression for the self-inductance of a long solenoid.

7. Explain the phenomenon of mutual induction and define mutual

inductance. Write the unit and dimensions of mutual inductance.

8. Describe the various methods of producing induced emf. Derive an

expression for the instantaneous emf induced in a coil rotated in a
magnetic field.
ALTERNATIVE CURRENT

1. Define mean value of AC(over a half cycle) and derive an

expression for it.

2. Define RMS value of AC and derive an expression for it.

3. Show that the average value of AC over a complete cycle is zero.

4. Deduce the phase relationship between current and voltage in

an ac circuit containing inductor only.

5. Deduce the phase relationship between current and voltage in

an ac circuit containing capacitor only.
6. Draw the phasor diagram showing voltage and current in LCR
series circuit and derive an expression for the impedance.

7. What do you mean by resonance in Series LCR circuit? Derive

an expression for the frequency of resonance in LCR circuit.

8. Derive an expression for the average power in an ac circuit.

9. Describe the principle construction theory and working of a

transformer.
ELECTROMAGNETIC WAVES

1. What is displacement current? Explain its need.

2. Write the properties of electromagnetic waves.

3. Write any five electromagnetic waves in the order of

decreasing frequency and write any two properties and
uses of each.

4. Establish the transverse nature of electromagnetic

waves.
RAY OPTICS
8. Draw a ray diagram to show the image formation a compound
microscope. Explain briefly the working. Derive an expression for
its magnifying power. Why the diameter of objective of
microscope should be small.

9. Draw a labeled diagram of a reflecting type telescope. State two

advantages of this telescope over refracting type telescope.
(a) Refractive index of medium between the object and objective
lens increases (b) Wavelength of the light used is increased
(c) Decreasing the diameter of objective
(d) Increasing the focal length of its objective.
WAVE OPTICS
1. Define wave front. State Huygens principle and verify Snell's law.

2. State Huygens principle and prove the laws of reflection on the basis of
wave theory.

3. What do you mean by interference of light? Explain in brief the Young's

double slit experiment.

4. What are the coherent sources? Write the conditions for the sustained
interference pattern. Also draw the intensity v/s path difference curve.

5. Find the conditions for constructive and destructive interference. How

does the intensity depend on the width of slit?
6. Find the expression for the fringe width. What is the effect on the fringe
width if the whole apparatus (YDSE) is completely immersed in a liquid of
refractive index μ?

7. Prove that the width of central maxima is twice the width of the
secondary maxima. How does the width of central maxima depend on the
width of the slit?
DUAL NATURE OF RADIATION

1. Describe the experiment to study photoelectric effect and

explain the laws of photoelectric effect and the significance of
each.

2. Describe Hertz and Lenard's experiment to demonstrate

photoelectric effect.

3. Explain Einstein's photoelectric equation and explain the laws

of photoelectric effect using it.

4. State and explain de Broglie relation for matter waves.

5. Write the characteristics of Photon.

ATOMS AND NUCLEI

1. State Bohr's postulates for explaining the spectrum of hydrogen atoms.

2. Obtain Bohr's Quantization condition on the basis of the wave picture of an

electron.

3. Using Bohr's postulates derive an expression for the radii of the permitted
orbit in the hydrogen atoms. Also obtain an expression for the total energy of
an electron in the nth orbit of an atom. What does negative value of this
energy signify?

4. Show that the speed of an electron in the innermost orbit of hydrogen

atom is 1/137 times the speed of light in vacuum.
5. How is the size of a nucleus estimated? Write the relation between
the radius of a nucleus and its mass number. Also prove that the nuclear
density is same for all nuclei.

6. Draw a plot showing the variation of binding energy per nucleon with
mass number A. Write two important conclusions which you can draw
from this plot. Explain with the help of this plot,the release in energy in
the processes of nuclear fusion and fission.
SEMICONDUCTOR DEVICES

1. Distinguish between conductors, insulators and semiconductors

on the basis of energy bands.

2. What are extrinsic semiconductors? Mention its types and

explain the mechanism of conduction in each.

3. Explain the conduction in N Type and P Type semiconductor on

the basis of band theory.

4. Explain the formation of depletion layer and potential barrier in

a PN junction diode.
5. Draw the circuit diagram used to determine the V-I characteristics
of a diode and draw the forward and reverse bias characteristics of a
diode. Explain the conclusions drawn from the graph.

6. With the help of a labeled circuit diagram explain the working of

half wave rectifier and draw the input and output waveforms.

7. With the help of a labeled circuit diagram explain the working of

full wave rectifier and draw the input and output waveforms.
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