The Commission publishes this paper without an answer key, so no answers are shown.
1. a) Define iodine value of fats and oils. What is its significance?
b) How sodium benzoate function as a food preservative? (2)
2. If line element is given as ds² = (dx)² − 2(dy)² + 3(dz)² − 8 dy dz, find metric tensor gᵢⱼ and its contravariant form gⁱʲ. Is metric tensor a symmetric tensor? If so, prove it. (3)
3. A particle of mass ‘m’ is constrained to move on the parabola z = x²/a in the plane, a is a constant length and there is a constant gravitational force acting in the negative z direction.
a) Define a suitable generalized co-ordinate for the problem.
b) Write the Lagrangian.
c) Where is the equilibrium position?
d) Write the equation of small oscillations about this equilibrium.
e) Solve the equation of motion. (3)
4. A nucleus with quadrupole moment Q is in a cylindrically symmetric electric field with gradient [∂E_z/∂z]₀ along the z-axis. Show that the quadrupole interaction energy is W = −(e/4)Q[∂E_z/∂z]₀. (3)
5. For a quantum system, the operator corresponding to physical quantity A does not commute with the Hamiltonian. It has eigenvalues a₁ and a₂ corresponding to eigenfunctions φ₁ = (u₁ + u₂)/√2 and φ₂ = (u₁ − u₂)/√2, where u₁ and u₂ are eigenfunctions of the Hamiltonian with eigenvalues E₁ and E₂. If the system is in the state ψ = φ₁ at t = 0, what is the expectation value of A at time t? (3)
6. Two identical particles may occupy any of three energy levels Eₙ = nE, n = 0, 1, 2, …; E₀ = 0 is doubly degenerate. At thermal equilibrium temperature T, determine the partition function and energy for Fermi–Dirac, Bose–Einstein and Maxwell–Boltzmann statistics. (3)
7. For the difference amplifier circuit shown, determine the output voltage at terminal A. The ideal op-amp has a 30 V source connected to the inverting input through 15 Ω and a 20 Ω feedback resistor from output A to the inverting input. The non-inverting input is connected to a +25 V source through 5 Ω and to ground through 3 Ω. (3)
8. Determine the number of translational, rotational and vibrational degrees of freedom in
a) CH₃Cl
b) OCS
c) C₆H₆
d) H₂CO
Give reasons for the answer. (3)
9. aj What are the difference between stokes and antistokes lines ?
b) State the selection rule for a molecule undergoing simple harmonic oscillation. (3)
10. Describe the significance of Bloom's Taxonomy of Educational Objectives., (4)
11. Why is it important for teachers to possess expertise in ICT Pedagogy? (4)
12. Explain the steps involved in the process of standardisation of an achievement test. (4)
13. Write notes on:
a) Triangulation
b) Cross validation in the context of research in science education. (4)
14. Assume lattice points of lattice parameter ‘a’ in a bcc structure are occupied by spherical atoms of radius ‘r’.
a) Calculate the free volume per unit cell.
b) Determine the radius of the largest sphere that will fit into the voids produced by the lattice point atoms not occupying the full volume of the cell. (4)
15. Briefly explain any five types of Intelligences belong to the Multiple Intelligence Theory. (5)
16. Reflective practice will help the teacher to attain professionalism. Illustrate with suitable CPD activities. (5)
17. a) What is a primary standard in volumetric analysis? What are the important requisites of a primary standard?
b) How R_f value differs from R_m value? (5)
18. a) Mention the difference between hemoglobin and myoglobin.
b) Write notes on Van Arkel Process. (5)
19. a) Whatis resolution ? Why it is required in organic synthesis ? Explain briefly any two resolution techniques.
b) What is Walden inversion ? (5)
20. a) Explain the temperature dependence of rate constant of a chemical reaction. How activation
energy of a chemical reaction is determined 7
b) Briefly explain Maxwell-Boltzmann distribution of molecular velocities. (5)
21. a) What are Science Process Skills ?
bi Asa teacher, what strategies will you adopt to develop process skills among students ? (6)
22. Elaborate the model of tea ching that helps learners to attain concepts by comparing and contrasting examples. (6)
23. You are asked to prepare a curriculum for science education at secondary school level. Elucidate any five factors that vou would consider effecting curriculum development, (@ Marks) (6)
24. Suppose you are expected to conduct an experimental research in science classroom using blended mode of teaching. Briefly explain the stages of research in the form of a proposal. (6)
Discussion
Ask a doubt or share a tip.
No comments yet — start the discussion.