Showing posts with label Optics And Spectroscopy - 2018 ODD SEM. Show all posts
Showing posts with label Optics And Spectroscopy - 2018 ODD SEM. Show all posts

Michelson Interferometer - Determination of thickness of a thin mica sheet

Let the refractive index of  mica be 'μ ' and the thickness of the thin sheet be 't'. If the mica sheet is introduced into the path of one of the interfering beams, the optical path length is increased by 2(μ-1)t.  If 'n'  is the number of fringes shifted in the fringe system then,

2(μ-1)t = nλ  ------------------------------------ (1)

But as fringes with monochromatic light are exactly alike, it is not possible to count the number fringes shifted due to the introduction of mica sheet.To overcome this difficulty, localized fringes are formed with a white light source and central dark fringe is made to coincide with the vertical cross wire.The paths AB and AC are then exactly equal.

Localized White Light Fringes
Credit: By Stigmatella aurantiaca at English Wikipedia, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=20155966




Michelson Interferometer Setup

The mica sheet is then introduced between the glass plate Gand M1 such that light passes through it normally.Mirror M1 is adjusted till the central dark fringe again coincide with the vertical cross wire of the telescope. The distance '' through which the mirror moved is noted. The white light is now replaced with monochromatic light of wavelength 'λ' .Mirror Mis moved back and number of  fringes 'ncontained in length ''  is found out . Then from equation (1),thickness of the mica sheet is given by,


UNIT V - SPECTROSCOPY FULL NOTES

Click HERE to download Spectroscopy Full Notes as a PDF.

Differences between Fresnel and Fraunhofer Diffractions

Fresnel  Diffraction
Fraunhofer Diffraction
The source and the screen are at finite distance from the diffracting aperture
The source and the screen are at infinite distance from the diffracting aperture
Near field diffraction
Far field diffraction
The wave fronts are divergent and are either spherical and cylindrical
The wave fronts are planar which is realized by using convex lenses
No mirror or lenses are used for observation
Diffracted light is collected by lens as in a telescope

Stokes Line and Anti-Stokes Line Definitions

A Stoke line is radiation of line spectra in fluorescence or Raman scattering with longer wavelength than the exciting radiation.

An anti-Stokes line is radiation of line spectra in fluorescence or Raman scattering with shorter wavelength than the exciting radiation.


OPTICS AND SPECTROSCOPY III INTERNAL TEST

OPTICS AND SPECTROSCOPY - 4BPH4C1
III INTERNAL TEST

PART –A  5 x 2 =10 MARKS
1.GIVE THREE METHODS OF MINIMIZING SPHERICAL ABERRATION.
2. STATE STOKES LAW
3. WHAT IS A SELECTION RULE?
4. GIVE AN APPLICATION OF VIBRATIONAL RAMAN SPECTRA.
5. WHAT ARE STOKES AND ANTI STOKES LINES?

PART – B 4 x 5 = 20 MARKS
6. GIVE THE THEORY OF HALF WAVE PLATE.
7. DISCUSS THE QUANTUM THEORY OF RAMAN EFFECT.

PART – C 2 x 10 = 20 MARKS
8. DISCUSS CLASSICAL THEORY OF RAMAN EFFECT
9. DISCUSS ROTATIONAL SPECTRA OF RIGID DIATOMIC MOLECULES.

Unit V - Spectroscopy Notes - Part I

Click HERE to download Spectroscopy(Unit V) notes Part I as PDF

OPTICS AND SPECTROSCOPY - II INTERNAL TEST

Optics and Spectroscopy - 7BPH3C1
 II Internal Test
Time : 2.5 Hrs                                                                                                                         Marks: 40

                                                                        PART - A                                                        5 x 2 = 10

1. List the uses of air wedge.
2. State Rayleigh Criterion for resolution.
3. Define resolving power of a prism. 
4. State any two differences between Fresnel and Fraunhofer diffraction.
5. Define specific rotatory power.

                                                                       PART - B                                                      2 x 5 = 10

1.Derive an expression for resolving power of grating.
2. Explain Fresnel diffraction at a circular aperture.


                                                                         PART - C                                                     2 x 10 = 20

1. Describe Fraunhofer diffraction at a double slit.
2. Give the theory of plane transmission grating. Describe an experiment to determine the wavelength of sodium lines.

Achromatic Doublet

An achromatic doublet is a combination of a concave and convex lenses made of different materials specifically designed to eliminate chromatic aberration inherent in single lenses.

Related image

Optics and Spectroscopy - I Internal Test

Optics and Spectroscopy - 7BPH3C1
 I Internal Test
Time : 2 Hrs                                                                                                                           Marks: 40

                                                                        PART - A                                                        5 x 2 = 10

1. Write short note on chromatic aberration in lenses.
2. Define dispersive power of a material.
3. What is an achromatic doublet?
4. State Stoke's Law.
5. What is an air wedge?

                                                                       PART - B                                                      2 x 5 = 10

1. Derive the condition for the minimization of Spherical Aberration when two thin lenses are separated by a distance.
2. Explain how colors appear in thin films due to interference.


                                                                         PART - C                                                     2 x 10 = 20

1. Explain the construction, action and working of Ramsden and Huygens Eyepieces with neat diagrams. Also indicate the position of cardinal points for these eyepieces.
2. Explain the construction of Michelson Interferometer. How the wavelength of monochromatic light can be measured?

Syllabus for Optics and Spectroscopy - 2018 ODD SEM


II YEAR – III SEMESTER
COURSE CODE: 7BPH3C1

CORE COURSE VI – OPTICS AND SPECTROSCOPY

Unit I              GEOMETRICAL OPTICS

Lens – Spherical aberration in lenses – Methods of minimizing spherical aberration – chromatic aberration in lenses – condition for achromatism of two thin lenses (in and out of contact) – Coma - Aplanatic lens – Eyepieces – Ramsden’s and Huygens’s eyepieces.  Dispersion – Angular and Chromatic dispersion – combination of prisms to produce i)dispersion without deviation ii) deviation without dispersion – Cauchy’s dispersion formula– Direct vision spectroscope – Theory of formation of rainbow.

Unit II             INTERFERENCE

Conditions for interference – colours of thin films – Air wedge – theory – determination of diameter of a thin wire by Air wedge – test for optical flatness – Newton’s rings – Determination of refractive index of a liquid.  Michelson’s Interferometer – theory and its Application (Measurement of wavelength and difference between wavelength of two close lines, thickness of mica sheet) – Jamin’s interferometers – determination of refractive index of gases

Unit III           DIFFRACTION

Fresnel’s  diffraction –Rectilinear propagation of light – zone plate –diffraction at circular aperture – opaque circular disc – Fraunhofer  diffraction at single slit – Double slit – Plane diffraction grating – theory and experiment to determine wavelength – overlapping of spectral lines. Rayleigh’s criterion for resolution – resolving power – resolving power of grating – resolving power of a prism.

Unit IV           POLARISATION

Double refraction – Huygens’s explanation of double refraction in uni axial crystals – Nicol Prism – Nicol Prism as polarizer  and analyzer – Polaroids and their uses – Quarter wave plates and Half wave plates.  Plane, elliptically and circularly polarized light – Production and detection – Optical activity– Fresnel’s explanation of optical activity – Specific rotatory power – determination using Laurent’s half shade polarimeter.

Unit V             SPECTROSCOPY

Microwave and infrared SpectroscopyRotation of molecules – Rotational Spectra – The  rigid  diatomic molecules, selection rules – the intensities of spectral lines – Infrared spectroscopy (outlines only) – Raman SpectroscopyQuantum theory of Raman effect – Classical theory of Raman effect – Molecular Polarisability – pure rotational Raman spectra of linear molecules – vibrational Raman spectra – Applications.


Text Books:

  1. Optics and Spectroscopy –     R.Murugeshan, S. Chand and co., 6th Edition, New Delhi, 2008.
  2. A text book of Optics – Subramanyam and Brijlal, S. Chand and co.., 22nd  Edition, New Delhi 2004.
  3. Elements of Spectroscopy – S.L. Gupta, V.Kumar and R.C.Sharma Pragati Prakashan, 13th Edition, Meerut, 1997

Books for Reference:

  1. Optics –  Sathyaprakash, Ratan  Prakashan Mandhir, VIIth Edition,  New Delhi, 1990.
  2. Introduction to Molecular Spectroscopy –C.N.Banewell,TMH publishing co. IV Edition,  New Delhi, 2006.
  3.  Molecular structure and spectroscopy – G.Aruldhass, PHI Pvt Ltd, , II Edition, New Delhi, 2007.