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CSS past paper

CSS Physics Paper II Past Paper 2024

CSS Physics Paper II 2024 carries 100 marks over 3 hours. It has 7 questions.

Marks
100
Time
3 hours
Questions
7

How to attempt: Attempt ONLY FOUR questions from PART-II. ALL questions carry EQUAL marks.

Questions

Question 1 (Part I) is the paper's MCQs, which are not reproduced here.

  1. Q. 2
    (20)
    • (a)
      Derive the work-energy theorem of electrodynamics (Poynting theorem) and discuss the Poynting vector.
      (10)
    • (b)
      What is magnetic vector potential? Also compare magnetic vector potential and electric scaler potential.
      (5)
    • (c)
      Find the magnetic field a distance zz above the center of a circular loop of radius R\boldsymbol{R}, which carries a steady current I\boldsymbol{I}.
      (5)
  2. Q. 3
    (20)
    • (a)
      What are the limitations of Gauss`s Law? How it can be applied on a material with bound charges(dielectrics)?
      (10)
    • (b)
      The long solenoid has 220 turns/cm and carries a current i =1.5 A; its diameter D is 3.2 cm. At its center we place a 130-turn closely packed coil C of diameter d =2.1 cm. The current in the solenoid is reduced to zero at a steady rate in 25 ms. What is the magnitude of the emf that is induced in coil C while the current in the solenoid is changing?
      (5)
    • (c)
      Calculate the Curl of electric field E.
      (5)
  3. Q. 4
    (20)
    • (a)
      Briefly discuss the phenomenon of Photoelectric effect. Deduce the value of Plank`s constant using concepts of stopping potential and work function.
      (10)
    • (b)
      X rays of wavelength λ=22 pm (photon energy=56 keV) are scattered from a carbon target, and the scattered rays are detected at 85° to the incident beam. What is the Compton shift of the scattered rays?
      (5)
    • (c)
      Describe the significance of a nearby nucleus in the process of pair production. Why is it necessary for the phenomenon to take place?
      (5)
  4. Q. 5
    (20)
    • (a)
      Explain the splitting of energy levels of atoms in external magnetic field based on the quantum theory by considering the spectral lines of sodium.
      (10)
    • (b)
      Discuss the momentum and energy operators in quantum mechanics and write down the significance of these operators.
      (5)
    • (c)
      Show that the particle in one dimensional box can only have discrete energy values.
      (5)
  5. Q. 6
    (20)
    • (a)
      How the energy levels in the crystalline solids form the energy bands? Differentiate between metals and semiconductors bases on the band gap pattern and electrical properties of the solids.
      (10)
    • (b)
      How many conduction electrons are in a cube of sodium 1123Na{}^{23}_{11}Na of volume 2×10−6 m32 \times 10^{-6}\ m^{3}. Sodium atoms are monovalent. Density and molar mass of sodium are 0.968 g/cm3^{3} and 22.98 g/mol respectively.
      (5)
    • (c)
      What is a Bravais lattice? Write down types of Bravais lattice in three-dimensional space.
      (5)
  6. Q. 7
    (20)
    • (a)
      How radiations are detected? Discuss any two radiation detectors in detail.
      (10)
    • (b)
      Explain working principle of the cyclotrons and synchrotrons.
      (5)
    • (c)
      Suppose a cyclotron is operated at an oscillator frequency of 12 MHz and has a dee radius R = 53 cm. What is the magnitude of the magnetic field needed for deuterons to be accelerated in the cyclotron? The deuteron mass is m= 3.34×10−273.34 \times 10^{-27} kg (twice the proton mass). What is the resulting kinetic energy of the deuterons?
      (5)
  7. Q. 8
    (20)
    • (a)
      Discuss the working principle and applications of MOSFET.
      (10)
    • (b)
      What is the probability that a quantum state whose energy is 0.10 eV above the Fermi energy will be occupied? Assume a sample temperature of 800 K.
      (5)
    • (c)
      Graphically show the occupancy probability and density of states as a function of energy.
      (5)
  1. Part-II is to be attempted on the separate Answer Book.
  2. Attempt ONLY FOUR questions from PART-II. ALL questions carry EQUAL marks.
  3. All the parts (if any) of each Question must be attempted at one place instead of at different places.
  4. Write Q. No. in the Answer Book in accordance with Q. No. in the Q.Paper.
  5. No Page/Space be left blank between the answers. All the blank pages of Answer Book must be crossed.
  6. Extra attempt of any question or any part of the question will not be considered.
  7. Use of calculator is allowed.