Consolidated Question Bank - Optics and Laser Physics - 23BPH4C1

UNIT - I
PART A - 2 MARK QUESTIONS

1.What is Fermat's Principle of Least Time?
2.State any two postulates of geometrical optics.
3.Define the focal length and power of a lens.

4.What are cardinal points of a lens system?
5.What is spherical aberration in a lens?

6.State Rayleigh's criterion for resolution.

7.List two merits of an eyepiece over a simple lens.

8.What is the resolving power of a telescope?
9.Define chromatic aberration in a lens.
10.What is the critical thickness of a thick lens?

11.What is the principle of a constant deviation spectroscope?

12.What are the main differences between Huygens' and Ramsden's eyepieces?

13.Write the formula for the resolving power of a diffraction grating.

14.Define resolving power.

15.What is the curvature of field in lens aberrations?

PART B - 5 MARK QUESTIONS

1.Explain Fermat's Principle of Least Time and its significance in geometrical optics.
2.Derive the lens maker’s formula for a thick lens and explain the significance of cardinal points.
3.Discuss the causes and corrections for chromatic aberration in lenses.

4.Explain the dispersion and deviation of light through a prism.

5.Compare Huygens' and Ramsden's eyepieces.

6.State and explain Rayleigh’s criterion for resolution. Derive the expression for the resolving power of a telescope.

7.Describe construction and working the constant deviation spectroscope.

8.What are spherical aberration, coma, and astigmatism in lenses?

9.Describe the chromatic aberration in lenses

10.Define resolving power. Derive an expression for the resolving power of a diffraction grating.

11.Explain the concept of narrow-angled prisms and derive the relation for minimum deviation.

PART C - 10 MARK QUESTIONS

1.Describe the concept of critical thickness and derive expressions for the focal length and power of a thick lens.

2.What is a constant deviation spectroscope? Explain its construction, working, and applications in detail.

3.Derive the lens maker’s formula for a thick lens. Discuss the significance of focal length, power, and cardinal points in optical systems.

4.Explain the working principles of Huygens' and Ramsden's eyepieces. Compare their construction, merits, and demerits, highlighting their applications.

5.Derive the expression for the resolving power of (i) a prism, (ii) a grating, and (iii) a telescope.

UNIT - II
PART A - 2 MARK QUESTIONS

1.What is interference of light?

2.Explain constructive ‘consecutive interference’ and

‘destructive interference’.

3.State the principle behind Fresnel’s biprism experiment.
4.Explain the formation of colors in thin films.
5.What is an air wedge?
6.Define Newton’s rings and mention one application.
7.What causes the bright and dark fringes in Newton’s rings

8.Write the uses of Michelson’s interferometer.

9.What is the difference between division of wavefront and division of amplitude in interference?

10.Why do Newton’s rings have a circular shape?

11.What are the conditions for constructive and destructive interference in thin films?

12.State two practical applications of interference in thin films.

PART B - 5 MARK QUESTIONS

1.Describe the working principle of Fresnel’s biprism. How are interference fringes formed?

2.Explain the formation of interference patterns in thin films due to reflected and transmitted light.

3.What are Newton’s rings? Derive an expression for the radius of the n^th ring in reflected light.

4.Explain the air wedge method and derive an expression for the thickness of a thin object placed between two glass plates.

5.Describe the construction and working of Michelson’s interferometer.

6.How can Michelson’s interferometer be used to determine the wavelength of a monochromatic light source? Explain in detail.

7.Describe how Michelson’s interferometer can be used to determine the difference in wavelengths of the D₁​ and D₂​ lines of sodium light.

PART C - 10 MARK QUESTIONS

1.Explain the principle, construction, and working of Fresnel’s biprism. Derive the expression for fringe width.

2.Derive the conditions for constructive and destructive interference in thin films. Explain the formation of colors in thin films with examples.

3.Discuss the air wedge method for determining the thickness of a thin wire. Derive the formula and explain the significance of the fringes observed.

4.Describe the Michelson interferometer in detail. Explain its construction, working, and applications for determining the wavelength of a monochromatic source and the thickness of a mica sheet.

UNIT - III
PART A - 2 MARK QUESTIONS

1.What are Fresnel’s assumptions?
2.What is a zone plate?
3.List two differences between a zone plate and a convex lens.
4.What is Fresnel diffraction?
5.What is Fraunhofer diffraction?

6.What is the width of the principal maxima in Fraunhofer diffraction at a single slit?
7.What is the difference between Fresnel and Fraunhofer diffraction?

8.Write the condition for the formation of principal maxima in a single slit Fraunhofer diffraction pattern.

9.Write the equation of positions of maxima in the diffraction pattern of a plane transmission grating in normal incidence.

PART B - 5 MARK QUESTIONS

1.State Fresnel’s assumptions and explain their significance in diffraction theory.

2.What is a zone plate? Describe its construction and principle of operation.

3.List the differences between a zone plate and a convex lens.

4.Describe the Fresnel diffraction at a straight edge.

5.Describe the diffraction pattern produced by a narrow slit under Fresnel diffraction

6.Derive an expression for the width of the principal maxima in Fraunhofer diffraction at a single slit.

8.Explain the working of a plane diffraction grating.

PART C - 10 MARK QUESTIONS

1.What is a zone plate? Derive an expression for its focal length and explain its action when a spherical wavefront is incident upon it. Compare its properties with those of a convex lens.

2.Discuss Fraunhofer diffraction at a single slit. Derive the expressions for the intensity distribution and the width of the principal maxima.

3.Describe Fresnel diffraction due to a narrow slit and derive the conditions for the formation of maxima and minima in the resulting diffraction pattern.

4.Explain the principle and working of a plane diffraction grating. Derive the condition for maxima and explain how it can be used to determine the wavelength of light.

UNIT - IV
PART A - 2 MARK QUESTIONS

1.What is optical activity?
2.What are optically active crystals? Give an example.
3.Define a polarizer and an analyzer.
4.What is double refraction?
5.What is the optic axis in a crystal?
6.What are polaroids? State one application.
7.What is a quarter wave plate?

8.What is a half wave plate?

9.What is circularly polarized light?

10.What is elliptically polarized light?

11.Define specific rotation / specific rotatory power.

PART B - 5 MARK QUESTIONS

1.Explain the concept of double refraction. Define optic axis and principal plane.

2.Give Huygens's explanation of Double refraction is

uniaxial crystals.

3. Explain the working of a quarter wave plate.

4.Explain the working of a half wave plate.

5.Give the mathematical treatment of Fresnel’s

theory of optical rotation.

6.What are polaroids? Explain their applications.

PART C - 10 MARK QUESTIONS

1.Discuss Fresnel’s explanation of circularly and elliptically polarized light. How can these types of light be detected experimentally?

2.Explain the construction, principle, and working of the Laurent half-shade polarimeter. Describe how it is used to determine the specific rotatory power of a substance.

UNIT - V
PART A - 2 MARK QUESTIONS

1.What are the general principles of lasers?
2.Define spontaneous emission.
3.What is stimulated emission?
4.Explain the concept of population inversion in lasers.
5.What is optical pumping ?
6.What is the principle of operation of a CO₂ laser?
7.Explain the working principle of a semiconductor laser.

8.List any two applications of lasers.

9.What is holography?

PART B - 5 MARK QUESTIONS

1.Explain the general principles of laser action.Discuss the processes of spontaneous and stimulated emission and their role in laser operation.

2.Describe the concept of population inversion in lasers. How is population inversion achieved using optical pumping?

3.Explain the working principle of a He-Ne laser.Discuss its construction and the process of laser action in detail.

4. What is the working principle of a CO₂ laser? Explain its applications in industry and medicine.

5.Describe the construction and working of a semiconductor laser. Discuss its advantages and applications.

PART C - 10 MARK QUESTIONS

1.Describe the principle, construction, and working of a He-Ne laser. Discuss the role of population inversion and optical pumping in achieving laser action in a He-Ne laser.

2.Explain the working principle of a CO₂  laser. Describe its construction and applications in industry, medicine, and communication systems.

Syllabus : INTEGRATED ELECTRONICS - VI SEMESTER - COURSE CODE : 22BPH6E1

UNIT - I FUNDAMENTAL DIGITAL ELECTRONICS

Number systems – binary – Octal – hexadecimal – Binary addition – subtraction (1’s and 2’s compliment method) – multiplication - division – BCD – Conversion – simplification of logic circuits using Boolean algebra - Demorgan’s theorems.

UNIT - II COMBINATIONAL LOGIC CIRCUITS

Basic logic gates – XOR gate -NAND and NOR as universal building blocks - Sum of Products method - Karnaugh map –Pairs, Quads and Octets – Karnaugh simplification- Don’t care condition – Product of sum method – POS simplification.

UNIT - III DATA PROCESSING AND ARITHMETIC CIRCUITS

Multiplexer – Demultiplexer – 1 of 16 decoder – BCD to decimal decoders - Seven segment decoders – encoder – Exclusive OR gates – Parity generator and checkers - Half adder–full adder– half subtractor – full subtractor – 4 bit adder/subtractor .

UNIT - IV SEQUENTIAL LOGIC CIRCUITS

RS flip flop – D flip flop – Clocked flipflops – JK flip flop – JK Master Slave flip flop – synchronous and ripple counters – BCD counter – Up/Down counters – shift registers – serial and parallel registers – ring and twisted ring counter.

UNIT - V TIMER, DA/AD CONVERSION

Timer 555 - Internal block diagram and working – astable, monostable and bistable multivibrators – Schmitt trigger. Variable resistor network – Binary ladder - D/A converter – D/A converter accuracy and resolution – A/D converter – simultaneous conversion - successive approximation method – A/D accuracy

TEXT AND REFERENCE BOOKS

1. Jain R.P.(1996). Digital Electronics by Practice Using Integrated Circuits - Tata McGrawHill(1996).
2. Malvino Leach. (1992). Digital Principles and Application . New Delhi: 4thEdition Tata Mcgraw Hill Publishing Company.
3. Millman J. Halkias C. (2001). Integrated Electronics. New Delhi: Tata McGraw Hill
4. Nagrath I.J. (1999). Electronics - Analog and Digital . NewDelhi: Prentice - Hall of India,
5. Roy Choudhury D. Shail Jain. (2003). Linear Integrated Circuits. New Age International Private Ltd.
6. Thomas L. Floyd.(1998). Digital Fundamentals. New Delhi: Universal Book Stall,
7. Vijayendran V., Viswanathan S. (2005). Introduction to Integrated Electronics. Chennai: Printers and Publishers Pvt. Ltd.

Syllabus : OPTICS AND LASER PHYSICS - IV SEMESTER - COURSE CODE : 23BPH4C1

UNIT - I LENS AND PRISMS

Fermat's Principle of Least Time - Postulates of Geometrical Optics - Thick and Thin Lenses - Focal Length, Critical Thickness, Power and Cardinal Points of a Thick Lens - Narrow Angled Prism. Lens - Aberrations - Spherical Aberration, Coma and Astigmatism - Curvature of Field - Distortion - Chromatic Aberration Methods. Prism - Dispersion, Deviation, Aberrations - Applications: Rainbows and Halos - Constant Deviation Spectroscope Eyepieces - Advantage of an Eyepiece Over a Simple Lens - Huygens' and Ramsden's Eyepieces, Construction and Working - Merits and Demerits of the Eyepiece Resolving Power - Rayleigh's Criterion for Resolution - Limit of Resolution for the Eye - Resolving Power of (I) Prism (II) Grating and (III) Telescope

UNIT - II INTERFERENCE

Division of Wave Front - Fresnel's Bibrism - Fringes with White Light - Division of Amplitude : Interference in Thin Films Due to (I) Reflected Light (II) Transmitted Light - Colors of Thin Films Applications - Air Wedge - Newton's Rings Interferometers - Michelson's Interferometer - Applications, (I) Determination of the Wavelength of a Monochromatic Source of Light  (II) Determination of the Wavelengths and Separation of D₁ and D₂ Lines of Sodium Light, (III) Determination of Thickness of a Mica Sheet.

UNIT - III DIFFRACTION

Fresnel's Assumptions - Zone Plate - Action of Zone Plate for an Incident Spherical Wave Front -Differences Between a Zone Plate and a Convex Lens Fresnel Type of Diffraction - Diffraction Pattern Due to A Straight Edge - Positions of Maximum and Minimum Intensities - Diffraction Due to a Narrow Slit Fraunhofer Type of Diffraction - Fraunhofer Diffraction at a Single Slit - Plane Diffraction Grating - Experiment to Determine Wavelengths - Width of Principal Maxima

UNIT - IV POLARIZATION

Optical Activity - Optically Active Crystals - Polarizer and Analyzer - Double Refraction - Optic Axis, Principal Plane - Huygens' Explanation of Double Refraction in Uniaxial Crystals - Polaroids and Applications Circularly and Elliptically Polarized Light - Quarter Wave Plate - Half Wave Plate - Production and Detection of Circularly and Elliptically Polarized Light - Fresnel's Explanation - Specific Rotation - Laurent Half Shade Polarimeter - Experiment to Determine Specific Rotatory Power

UNIT - V LASERS

General Principles of Lasers - Properties of Lasers Action - Spontaneous and Stimulated Emission - Population Inversion - Optical Pumping - He-Ne Laser [Principle and Working] - CO₂ Laser [Principle and Working] - Semiconductor Laser - Laser Applications - Holography

UNIT - VI PROFESSIONAL COMPONENTS

Expert Lectures - Seminars - Webinars - Industry Inputs - Social Accountability - Patriotism

TEXT AND REFERENCE BOOKS

Text Books
1. Subramaniyan N and Brijlal, 2014, Optics, 25^th Edition, S.Chand and Co.
2. P.R.Sasikumar, 2012, Photonics, PHI Pvt Ltd, New Delhi.
3. V.Rajendran, 2012, Engineering Physics, Tata McGraw Hill.
Reference Books
1. Sathyaprakash, 1990,Optics,VII edition, Ratan Prakashan Mandhir, New Delhi.
2. Ajoy Ghatak, 2009,Optics, 4^th edition, PHI Pvt Ltd, New Delhi.
3. D.Halliday,R.Resnick and J. Walker, 2001, Fundamentals of Physics, 6^th edition, Willey, New York.
4. F. Jenkins, A.Francis and White, 2011, Fundamentals of Optics, 4^th edition, McGraw Hill Inc., New Delhi.

WEB RESOURCES

1. The Electromagnetic Spectrum - NASA
2. Imagine the Universe! - NASA
3. Why The Sky is Blue: Lord Rayleigh, Sir Raman, and Scattering

Angular Momentum about Center of Mass of a Rigid Body

Lecture Notes - Gyrostatic Applications - Adopted From D. S.Mathur and P. S.Hemne, 2000, Mechanics

Lecture Notes - Gyroscopic Precession

Non-conservative Forces and General Law of Conservation of Energy

Derivation of Moments of Inertia of A Circular Disk, Annular Disk, Solid Sphere and Hollow Sphere

Free Electrons in Metal Fermi Gas

Unit V - Comparison of Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac Statistics

Unit V - Classical and Statistical Mechanics - Derivation of Planck Radiation Formula from Bose–Einstein Statistics

Unit - IV - Part I - Rotational Motion and Moment of Inertia - General Theorems of Moment of Inertia

 

Consolidated Question Bank - Classical and Statistical Mechanics - 23BPH5C3

UNIT - I
PART A - 2 MARK QUESTIONS

1.Differentiate between external and internal forces.
2.Define the center of mass of a system of particles.

3.State the law of conservation of linear momentum.
4.Define angular momentum.
5.State the law of conservation of angular momentum.

6.State the law of conservation of energy.

7.State the work-energy theorem.

8.Define conservative forces and give an example.

9.Define degrees of freedom in a physical system.

10.Define generalized momentum.

PART B - 5 MARK QUESTIONS

1. Define the center of mass and explain its importance in mechanics.

2.State and explain the law of conservation of linear momentum with an example.

3.What is the work-energy theorem? Derive its expression for a particle moving under a constant force.

4.Differentiate between conservative and non-conservative forces, providing one example of each.

5.Define degrees of freedom and explain how they are affected by constraints in a mechanical system.

PART C - 10 MARK QUESTIONS

1.Explain the work-energy theorem in detail. Derive its expression and discuss its significance in mechanics with a practical example.

2. Discuss the types of constraints in mechanics.

UNIT - II
PART A - 2 MARK QUESTIONS

1.State the principle of virtual work.
2.What is D'Alembert’s principle?

3.Define generalized coordinates.
4.Write the Lagrange equation of motion for a conservative system.
5.State Hamilton's principle.

PART B - 5 MARK QUESTIONS

1.State and explain D'Alembert’s principle.

2.Describe the principle of virtual work.

3.Write down the Lagrange equation of motion for a conservative system and briefly explain each term.

4.Derive the Lagrange equation of motion for a simple pendulum.

5.Explain how to apply the Lagrangian method to the Atwood machine. Derive the equation of motion for the system.

PART C - 10 MARK QUESTIONS

1.Derive the Lagrange equation of motion for a conservative system.

2.State Hamilton’s principle and  derive the Lagrange's equations from it.

UNIT - III
PART A - 2 MARK QUESTIONS

1.Define phase space.
2.What is the Hamiltonian function $H$ in mechanics?

3.State Hamilton's canonical equations of motion.
4.What is the physical significance of the Hamiltonian function $H$ in a mechanical system?
5.What is a variational principle in Hamiltonian mechanics?

PART B - 5 MARK QUESTIONS

1.Explain the concept of phase space and its significance in Hamiltonian mechanics.

2.Define the Hamiltonian function H and describe its role in representing the total energy of a system.

3.State and explain Hamilton’s canonical equations of motion for a simple system.

4.What is the physical significance of the Hamiltonian in classical mechanics? Discuss briefly.

PART C - 10 MARK QUESTIONS

1.Derive Hamilton's canonical equations from the variational principle.

2.Discuss the application of Hamilton's equations of motion to a compound pendulum. Derive and solve the equation of motion for the system.

UNIT - IV
PART A - 2 MARK QUESTIONS

1.Define microstate and macrostate in statistical mechanics.
2.What is the difference between Mu space and Gamma space?

3.State the fundamental postulate of statistical mechanics.
4.What is thermodynamical probability?
5.Write down Boltzmann's theorem relating entropy and probability.

PART B - 5 MARK QUESTIONS

1.Explain the difference between microstates and macrostates in statistical mechanics, with an example.

2.Define Mu space and Gamma space. Discuss their significance in representing systems in statistical mechanics.

3.State and explain the fundamental postulate of statistical mechanics.

4.Derive the Maxwell-Boltzmann velocity distribution law.

PART C - 10 MARK QUESTIONS

1.Define the different types of ensembles (microcanonical, canonical, and grand canonical) used in statistical mechanics, and explain their importance in describing systems under various conditions.

2.State and derive the Maxwell-Boltzmann energy distribution law.

UNIT - V
PART A - 2 MARK QUESTIONS

1.What is the main difference between Bose-Einstein and Fermi-Dirac statistics?
2.Define Fermi gas.

3.State one key difference between classical and quantum statistics.
4.Name the quantum statistics that apply to free electrons in a metal.
5.What is the Pauli exclusion principle, and how does it relate to Fermi-Dirac statistics?

6.Write the Planck radiation formula.

PART B - 5 MARK QUESTIONS

1.Explain the basic principles of Bose-Einstein statistics and its application in quantum mechanics.

2.State and explain the key assumptions of Fermi-Dirac statistics.

3.Describe the main differences between classical statistics and quantum statistics.

4.Explain the concept of a Fermi gas and its significance in describing free electrons in metals.

5.What is the Fermi energy, and why is it important in understanding the behavior of electrons in a metal?

PART C - 10 MARK QUESTIONS

1.Discuss the differences between Bose-Einstein and Fermi-Dirac statistics.

2.Derive the Planck radiation formula using Bose-Einstein statistics, and discuss its significance in blackbody radiation.

3.Discuss the key differences between classical statistics (Maxwell-Boltzmann) and quantum statistics (Bose-Einstein and Fermi-Dirac),