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FPSC · CSS 2026

Physics, Paper II

100 marks · 3 hours · 7 questions · official PDF, 3 pages
Practice 20 MCQs
This paper Physics · all yearsQ. 2 · State and explain Gauss' law…Q. 3 · What is meant by induced…Q. 4 · Discuss the time-independent Schrodinger wave…Q. 5 · What is meant by Bravais…Q. 6 · (a) Define Fermi sphere. Is…Q. 7 · Explain on scientific grounds the…Q. 8 · Explain nuclear fission with the…With this paperPart-I MCQs20Official PDF3 pp← 2026
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Part II

Q. 2
  1. (a)State and explain Gauss' law in dielectrics. Also give its significance. [5]
  2. (b)Derive a mathematical expression for an electric field at a point lying outside of a uniformly charged spherical shell. [5]
  3. (c)A spherical shell has a total charge q = 4µC and radius 0.3 m. Calculate the electric field at a distance of. 5 m from the center of the shell. [10]
(20)
Q. 3
  1. (a)What is meant by induced emf? Why is it called induced? [10]
  2. (b)Derive an expression for induced emf in a coil with N turns due to changing magnetic flux. [5]
  3. (c)Magnetic flux through a 20 turn coil changes from 0.5 to 0.1 Wb in 0.2 s. How much emf would be induced in the coil? [5]
(20)
Q. 4
  1. (a)Discuss the time-independent Schrodinger wave equation. Why is it called time independent? [5]
  2. (b)Solve the time-independent Schrodinger wave equation for a particle in a one-dimensional potential well of width of L. [5]
  3. (c)Find the ground-state energy of electron in a 1-D potential well with L = 1 nm. Mass of electron = m = 9.11 × 10 -31 kg. [10]
(20)
Q. 5
  1. (a)What is meant by Bravais lattice? [5]
  2. (b)Calculate the volume of the base-centered cubic structure of side length 0.4 nm. The volume needs to be in ų. [5]
  3. (c)Clearly elaborate the difference between base-centered and face-centered cubic lattices. Also discuss types of base-centered cubic cell. [10]
(20)
Q. 6

(a) Define Fermi sphere. Is this an energy state? Explain.

(b) Deduce the Fermi-Dirac distribution function f(E,T)=1e(E−EF)/KBT+1f(E,T)=\frac{1}{e^{(E-E_F)/K_BT}+1} for Fermi energy level (E=EF)(E=E_F)

(c) Calculate the Fermi energy for Cu in eVeV with number density (n)(n) of 8.49×1028 atoms/m38.49\times 10^{28}\,{atoms}/{m^3} [EF=h22m(3n8π)2/3,m=9.11×10−31Kg,h=6.62×10−34J.s]\left[E_F=\frac{h^2}{2m}\left(\frac{3n}{8\pi}\right)^{2/3}, m=9.11\times 10^{-31}Kg, h=6.62\times 10^{-34}J.s\right]

Checked against official paper
(20)
Q. 7
  1. (a)Explain on scientific grounds the difference between alpha, beta and gamma decay. [5]
  2. (b)Write the decay equation for the alpha decay of U 238 . [5]
  3. (c)The charge number and mass number of two nuclei A & B are the same. But their binding energies are such that (B.E) A > (B.E) B . Which nucleus will have more mass and why? [10]
(20)
Q. 8
  1. (a)Explain nuclear fission with the help of one practical application. [5]
  2. (b)What are elementary and composite particles? Give two examples from each family of elementary particles. [5]
  3. (c)What is controlled fusion? Why is it hard to achieve on earth? [10]
(20)

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About this paper

The 2026 CSS Physics paper set by the Federal Public Service Commission. Question wording only; questions marked “Not yet checked” have not been compared with the official paper yet. Open the official paper beside the questions to check any of them.

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