Physics Paper VI Quantum Physics and Electronics Previous Year Question Paper Year 2006 : IIIrd Year

PART ‘A’

Q. 1. (a) Describe an experiment for which classical mechanics is inadequate to explain the results. 4
(b) Explain ‘Duality Concept’ in physics and obtain and expression for the de Broglie wavelength for an accelerated electron.
Answer :

Q. 2. (a) State Heisenberg uncertainty principle and explain how results of the experiment of diffraction of electron beam by a slit can be used to describe the significance of the principle.

(b) Using the uncertainty principle, show that an electron cannot exist inside a nucleus but can exist in an atom.
Answer :

Q. 3. Establish time independent Schrodinger wave equation and use it to obtain an expression for kinetic energy of a particle restricted to move between x = 0 and x = L.
Answer :

Q. 4. Derive Planck’s law of radiation and explain, how Wien’s displacement law can be deduced from it ?
Answer :

PART ‘B’

Q. 5. (a) Draw a block diagram for a regulated power-supply and describe briefly the role of each ‘block’ in converting a.c. to a regulated d.c. 4
(b) Explain the concepts of ‘ ripple’ in half-wave rectifier and derive an expression for its ripple factor.
Answer :

Q. 6. Derive an expression for Barkhausen condition for self-sustained oscillations and use it to obtain an expression for the frequency of oscillation for Hartley oscillator.
Answer :

Q, 7. (a) Derive an equation for frequency-modulated wave in terms of the deviation ratio 8.
(b) Describe the reactance tube modulator and explain how it produces frequency modulated waves.

Q. 8, Write short notes on any two of the following :
(i) R-C coupled amplifier;
(ii) CRO;
(iii) Balanced modulator;
Answer :

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Physics Paper V Atomic Physics Previous Year Question Paper Year 2006 : IIIrd Year

Q. 1. Answer any six questions :
(i) How many electrons are present in one Coulomb? 1
(ii) What is quantisation of charge ? 1
(iii) If the work function of a metal is 2.5 eV, calculate the stopping potential.
(iv) What is Planck’s constant ? Give its SI units. 1
(v) There are two photons having wavelength 2000 A and 3000 A respectively. Which one posseses more energy ? 1
(vi) Explain binding energy. I
(vii) Calculate the rest mass energy of an electron in MeV.
(viii) What is an atomic mass unit ?
Answer :

Q. 2. State the fundamental postulates of Bohr’s theory of hydrogen atom. On the basis of these postulates, derive expres¬sions for the radius and energy of an an electron in the n th orbit.
Answer :

Q. 3. (a) Describe Millikan’s oil drop experiment for the determination of charge of an electron giving necessary theory. 5
(b) A charged oil drop is made stationary by a uniform electric field of 3 x 104 volt/m. Find the charge on the drop of its mass if its mass is 10~14 kg.
Answer :

Q. 4. What do you understand by Compton effect ? Show that the change in wavelength of an X-ray photon on scattering from a free electron is independent of the wavelength of the incident photon.
Answer :

Q. 5. (a) Derive the law of radioactive decay. Explain radioactive constant, half life and mean life period. Establish a relation between them. 4
(b) Explain the conditions under which secular and transient radioactive equilibrium takes place.
Answer :

Q. 6. (a) Distinguish between fission of a nucleus and fusion of two nuclei, illustrating each process by an example. 2
(b) Describe chain reaction and its uses in reactors. 2
(c ) Calculate the energy released by fission of 1 kg of Ura-nium-235 in kWh. Assume the energy per fission event is 200 MeV.

Useful constants :
Electronic charge e = 1,6 x 10-19 C
Electronic mass m = 9.1 x 10~31 kg
Planck constant h = 6.62 * 10*34 J-s
Answer :

Q. 7. Write notes on any two of the following:
(i) Rutherford scattering; 4
(ii) Aston’s mass spectrograph; 4
(iii) Zeeman effect.
Answer :

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Physics Paper VI Quantum Physics And Electronics Previous Year Question Paper Year 2005 : IIIrd Year

PART ‘A’

Q. 1. (a) What is thermionic emission ? Define thermionic work-function. 1,2
(b) What is space charge effect ? Discuss how does it limit the plate current. 1, 2
(c ) Describe with the help of a neat circuit diagram how the I-V characteristics of a pentode can be obtained. Compare these characteristics with output characteristic curves of a transistor.
Answer :

Q. 2. (a) Discuss how a barrier potential is formed in a p-n junction diode. How does it depend upon forward and reverse biasing ? 2, 2
(b) Describe the working of a full-wave rectifier. Obtain expressions for its ripple factor and efficiency.
Answer :

Q. 3. (a) What is a class-A amplifier ? Obtain an expression for gain of a class A voltage amplifier using a triode. 1, 7
(b) In a two-stage amplifier, using identical stages an a.c. signal of 0.2 V produces an a.c. output of 12.8 V. Determine the gain at each stage.
Answer :

Q. 4. (a) What do you understand by feedback in amplifiers? Obtain an expression for producing sustained oscillations. 1,4
(b) What are p- and n-type semiconductors ? Explain transistor action in an NPN transistor.
Answer :

PART ‘B’

Q. 5. (a) Obtain an expression for wavelength of de Broglie waves. 2
(b) What is the wavelength of matter-waves asociated with an electron accelerated (from rest) through a potential difference of 1.21 kV ? 2
(c ) Describe an experiment to establish the concept of de Broglie wavelength of an electron.
Answer :

Q. 6. Obtain an expression for Planck’s formula and deduce from it Rayleigh-Jeans law and Wien’s law.
Answer :

Q. 7. (a) Derive Schrodinger wave equation and obtain the eigenvalues for a square-well potential of infinite height. 5, 2
(b) Explain the significance of wave-function.
Answer :

Q. 8. Write notes on any two of the following :
(a) Heisenberg’s uncertainty principle;
(b) Harmonic oscillator and its eigenvalues;
(c ) Group and phase velocity.
Answer :

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Physics Paper V Atomic Physics Previous Year Question Paper Year 2005 : IIIrd Year

Q. 1. Derive Rutherford’s scattering formula for the scattering of alpha particles by heavy nuclei. Discuss its experimental verification.
Answer :

Q. 2. What is Compton effect ? What is its basic importance? Obtain an expression for Compton shift.
An X-ray photon of wave length 0.15° A is reflected at an angle of 135° after collision with an electron. Calculate the energy it loses on collision.
Answer :

Q. 3. What are limitations of Thomson’s parabola method for determining e/M of positive rays. Describe in detail. Aston’s mass spectrograph.
Answer :

Q. 4. Describe Millikan’s oil drop method for the determination of charge of electron. What is quantisation of charge ?
Fn Millikan’s oil drop experiment an oil drop of mass 4.9 * I0-14Kgm is balanced by applying a potential difference of 2 KV between two plates which are 8 mm apart. Calculate the number of elementary charges on the drop.
Answer :

Q, 5. Give an account of Bohr’s theory of H-atom. What is Bohr’s radius. Draw the energy level diagram of H-atom after calculating the value of En.
Answer :

Q. 6. Establish Einstein’s photo-electric equation by explaining the quantum postulates involved therein. How dies it explain the laws of photoelectric emission ?
An X-ray diffraction of a crystal gave the closest line at an angle of 6.5°. If the wave length of X-rays is 0.55 A, find the inter planar spacing for that reflection.
Answer :

Q. 7. Distinguish between nuclear fission and nuclear fusion. Give one example of each.
Calculate the energy released due to nuclear fission of a single U235 nucleus by a thermal neutron.
Answer :

Q. 8. Write short notes on any two :
(a) Mosley’s law
(b) Normal Zeeman effect
(c ) Radioactive equilibria
Answer :

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Physics Paper IV Electromagnetism Previous Year Question Paper Year 2006 : IInd Year

Q. 1. (a) What are scalar and vector fields ? Give examples of each. What are solenoidal fields? Why divergence of a magnetic field vector is zero ?
(b) Get expression for vector triple product of three vectors.
(c ) Prove that : Image no.3

Answer :

Q. 2. (a) Discuss the resonance behaviour of L-C-R circuit in a.c. in detail. 4
(b) Get expression for power in a.c. for an inductive circuit.
Answer :

Q. 3. (a) State and explain Biot-Savart’s law. Get magnetic field expression on the axis of a circular coil carrying current.
4
(b) State Ampere’s law. Get expression for force between two parallel current carrying wires. Hence define an Ampere.
Answer :

Q. 4. (a) Discuss charging and discharging of C-R circuit.
(b) If C= 1, µF; L = 0.2 henry and R = 800 Ω, is the circuit oscillatory ?
Answer :

Q. 5. Define coefficient of self-inductance in terms of flux, current and work done. Get expression for self inductance of:
(a) Endless solenoid; and
(b) Long solenoid.
Give a method for finding L of a circuit.
Answer :

Q. 6. Define electric field intensity and electric potential. Get relation between them. Get expression for electric potential on the axis of a uniformly charged circular disc.
Answer :

Q. 7. (a) Discuss various factors leading to damping of moving coil ballistic galvanometer.
(b) Explain energy loss per cycle of magnetisation.
Answer :

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Physics Paper III Waves And Oscillations Previous Year Question Paper Year 2006 : IInd Year

Q. 1. Distinguish between free and forced vibrations. Give theory of forced damped vibrations. Discuss the condition of resonance.
Answer :

Q.2 Image no. 2

In the above figure two masses ma and mb are connected by three massless springs of spring-constants k1, k2 and k3 If ma = mb = m and k1 = k2 = k3 = k :

(i) Find frequency of normal modes for longitudinal vibration.

(ii) Find normal co-ordinates for longitudinal vibration.

(iii) Show that the total energy of the system is equal to the sum of energies associated with the two modes.
Answer :

Q. 3. (a) What is optical path ? State Fermat’s principle and derive laws of reflection based on Fermat’s principle. 4
(b) State Huygen’s principle and derive laws of refraction from Huygen’s principle.
Answer :

Q. 4. (a) What are Newton’s rings and how are they formed? How would you use Newton’s rings to measure wavelength of light? 5
(b) In Newton’s rings experiment the diameter of 10th ring changes from 1.5 cm to 1.4 cm when a liquid is introduced between the lens and plate. Calculate the refractive index of the liquid.
Answer :

Q. 5. (a) What do you mean by Fraunhoffer diffraction ? Describe the Fraunhoffer pattern obtained with a single slit illuminated by a beam of monochromatic light. Deduce condition of maxima and minima.
5
(b) Calculate the minimum number of lines in a grating which will just resolve the two wavelengths 5890 A 5896 A in its first order.
Answer :

Q. 6. (a) Describe the construction of a zone plate and explain its working. Explain how it behaves as a lens of multiple foci. 5
(b) Distinguish between normal and anomalous dispersion.3
Answer :

Q. 7. (a) Derive an expression for the equivalent focal length of two lenses separated by a distance. 5
(b) Two thin convex lenses having focal lengths 5 cm and 2 cm are co-axial and are separted by a distance of 3 cm. Find the equivalent focal length and position of cardinal points.
Answer :

Q. 8. Write short notes on any two of the following :
(i) Lissajous figures;
(ii) Melde’s experiment;
(iii) Temporal and spatial coherence;
(iv) Chromatic and spherical aberrations.
Answer :

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Physics Paper IV Electromagnetism Previous Year Question Paper Year 2005 : IInd Year

Q. 1. (a) Define a line integral and a surface integral Obtain an expression for curl of a vector.
(b) State and prove Stokes1 theorem.
Answer :

Q. 2. Stat Coulomb’s law of electrostatics. Hence define unit charge. Obtain an expression for energy of a system of charges and a relation between electromagnetic and gravitational force between electron and proton of a H-atom. What is the S.I. system of units and why is it widely used ?
Answer :

Q. 3. (a) Discuss transient behaviour of a C-R circuit in detail.
(b) Describe a method for finding high resistance by leakage. Why can’t we measure low resistance by this method ?
(c ) A condenser of capacity 0.5 p.F is discharged through a resistance of 10 Mil. Find the time taken for half the charge on the condenser to escape (ioge 2 = 0.6931).
Answer :

Q. 4. (a) State and prove Gauss’s law of electrostatics. Derive its differential form,
(b) Derive an expression for the electric field at a point inside a uniformly charged solid sphere.
Answer :

Q. 5. (a) Define the coefficient of mutual inductance and coefficient of coupling.
(b) Give a method for finding coefficient of mutual inductance of two coils. What is the role of the core between two coils?
Answer :

Q. 6. (a) State Biot-Savart law and hence obtain an expression for the field due to an infinitely long conductor.
(b) Write Maxwell’s equations for electromagnetic field.
Answer :

Q. 7. Define capacity of a conductor. Derive an expression for capacity of a spherical condenser
(a) with outer surface earthed,
(b) with inner surface earthed.
Answer :

Q. 8. Write short notes on any two of the following :
(i) em wave equation
(ii) Choke coil
(iii) Dia-, para- and ferro-magnetk substances
(iv) Sensitivity of Wheatstone bridge.
Answer :

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Physics Paper III Waves And Oscillations Previous Year Question Paper Year 2005 : IInd Year

Q. 1. Distinguish between forced and free vibrations. Give theory of free damped vibrations. Explain the behaviour under large and small damping.
Answer :

Q. 2. (a) What are normal co-ordinates and normal modes?

(b) Image no.1

In the above figure the two masses ma and mb are connected by three massless springs of spring constants k1, k2 and k3. If ma = mb = m and k1 = k2 = k3 = k, find :

(i) Normal modes for vibrations;
(ii) Normal co-ordinates for longitudinal vibrations.
Answer :

Q. 3. (a) State Fermat’s principle and derive laws of refraction based on Fermat’s principle.
(b) Discuss Huygen’s principle and derive laws of reflection based on this principle.
Answer :

Q. 4. (a) Explain with derivation as to how one determines me refractive index of a transparent liquid with Newton’s rings set-up. Comment on the central fringe in case of Newton rings set-up in reflected mode. 5
(b) In Newton rings experiment the diameter of 10th ring changes from 1.4 cm to 1.3 cm when a liquid is introduced be¬tween the lens and plate. Calculate the refractive index of the liquid.
Answer :

Q. 5. (a) Discuss the Fraunhofer diffraction due to double slit. Explain, what do you mean by missing orders. 5
(b) What should be the minimum number of lines in a diffraction grating which will just resolve in second order the lines laving wavelengths 5890 A and 5896 A ?
Answer :

Q. 6. (a) Explain the action of zone plate. Compare it with a lens. Describe, how a zone plate can be constructed. 5
(b) Distinguish between normal and anomalous dispersion.
Answer :

Q. 7. (a) Explain the term cardinal points with reference to co-axial lens system. 4
(b) A co-axial system has two lenses of focal lengths 3F and F separated by a distance 2F. Find out the position of cardinal points.
Answer :

Q. 8. Write short notes on any two of the following
(i) Gravity waves;
(ii) Superposition of waves;
(iii) Wood’s experiment;
(iv) Ramsden and Huygen’s eyepieces.
Answer :

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Chemistry Paper IX Physical Chemistry Previous Year Question Paper Year 2006 : IIIrd Year

Q. 1. The distribution constant ofa certain solid ‘X’ between two immiscible solvents A and B is 10 at 25°C. If the solubility of the solid in solvent A is 4.8 mol lit-1, what is its solubility in solvent B ?

(b) 75% of a reaction of the first order was completed in 32 minutes. When was it half completed ?

(c ) The emf of the cell setup as under was found to be 0.1182 volt at 25°C. Calculate the solubility of AgCI.
Ag|Saturated solution of AgCI || AgNO3 (0.01N) | Ag

(d) Calculate the energy of a photon corresponding to a wavelength 360 nm.
Answer :

Q. 2. What is a unimolecular reaction ? Distinguish between order of a reaction and its molecularity. Derive an expression for rate constant of a reaction of the type :
A + A————> Product
Answer :

Q. 3. Define ‘phase’, ‘number of components’ and degrees of freedom for a system. Derive the relationshop P = C – F + 2.
Answer :

Q. 4. What is the difference between electrode potential and standard electrode potential ? How is the emf of a cell measured? How would you calculate AG, AH and AS from emf measurement?
Answer :

Q. 5. What are photo physical and photochemical processes? Derive Lambert-Beer’s law. What are its limitations ?
Answer :

Q. 6. Write short notes on any two of the following :
(a) Half-life period;
(b) Concentration cells;
(c ) Nernst distribution law.
Answer :

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Chemistry Paper VIII Organic Chemistry Previous Year Question Paper Year 2006 : IIIrd Year

SECTION ‘A’

Q. 1. (a) Explain the formation of osazone from Fructose. 2
(b) How will you convert Fructose into glucose ? 2
(c ) Explain Killiani synthesis. 2
(d) Write the structure of anomers.
Answer :

Q. 2. (a) Give the names of the following peptides :
(i) ala-gly (ii) gly-ala.

(b) Explain the secondary structure of proteins.

(c ) Explain :
(i) Zwitterion;
(ii) Isoelectric point.
Answer :

Q. 3. (a) Why pyridine is more basic than pyrrole? 2

(b) How will you convert Napathalene into α-Napthalene sulphonic acid and β-Naphthalene sulphonic acid ?

(c ) How the structure of naphthalene was established ?
Answer :

Q. 4. (a) How do you prepare the following :
(i) Phenacetin; 2
(ii) Aspirin. 2
(b) Give a method for the synthesis of paratliion.
Answer :

Q. 5. (a) Give a method for the preparation of the following dyes:
(i) Indigo;
(ii) Alizarin. 2

(b) Explain the theory of colour and constitution.
Answer :

Q. 6. How do you synthesise the following polymers ?
(i) Polyvinyl chloride; 2
(ii) Polyester from terephthalate; 2
(iii) Polyurethane.
Answer :

Comment for Chemistry Paper VIII Organic Chemistry Previous Year Question Paper Year 2006 : IIIrd Year
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