BCS Written Physics study plan

Derive and apply Newton's three laws to solve at least 20 two- and three-dimensional force problems, including inclined planes and connected bodies

Solve projectile and circular-motion problems using kinematic equations, verifying each answer with a dimensional check

State and apply Kepler's three laws to compute orbital periods, semi-major axes and escape velocities for at least 10 numerical cases

Apply Bernoulli's equation and the continuity equation to five pipe- and venturi-flow problems with worked unit conversions

Compute centre of mass, moment of inertia and angular momentum for rigid bodies, solving 10 rotational-dynamics problems

Apply Gauss's law to derive the electric field for spheres, cylinders and infinite planes, solving 8 symmetric-charge problems

Solve DC circuit problems using Kirchhoff's rules and compute equivalent resistance, capacitance and RC time constants

Summarise the links between conservative forces, potential energy and electric potential in a single comparative table

Apply Biot-Savart and Ampere's laws to compute magnetic fields of straight wires, loops and solenoids

Solve 10 problems on Faraday's law, Lenz's law and self/mutual inductance with explicit direction reasoning

Derive the Lorentz force and analyse charged-particle motion in crossed electric and magnetic fields

Explain the operation of a transformer and calculate turns ratios, efficiency and power losses

Apply the first and second laws of thermodynamics to at least 10 cyclic-process problems, computing efficiency and entropy change

Solve 8 problems on thermal expansion, calorimetry and heat transfer by conduction and radiation

Derive the wave equation for a stretched string and apply it to standing-wave and resonance problems

Solve 8 geometric-optics problems using the mirror and thin-lens equations, including multi-lens systems

Solve 10 interference and diffraction problems using Young's double-slit and grating equations

Analyse Doppler-effect and beats problems, converting between frequency, wavelength and speed

Apply the Bohr model and quantum numbers to compute energy levels and spectral lines for hydrogen-like atoms

Balance at least 12 nuclear decay and reaction equations, computing Q-values and binding energy per nucleon

Apply the photoelectric equation, de Broglie relation and Heisenberg uncertainty principle to 10 numerical problems

Solve basic special-relativity problems involving time dilation, length contraction and relativistic momentum

Explain band theory and classify conductors, semiconductors and insulators using Fermi levels and band gaps

Analyse diode, transistor and operational-amplifier circuits, calculating gain, bias points and rectified output

Apply vector calculus identities (gradient, divergence, curl) and the divergence and Stokes theorems to 8 problems

Solve 10 differential-equation problems using separation of variables and Laplace transforms, checking solutions numerically

Perform error propagation and uncertainty analysis on 8 experimental data sets, reporting results with correct significant figures

Write and run short Python or spreadsheet code to fit a straight line to experimental data and report chi-squared

Complete two full-length timed mock papers under exam conditions and record per-domain scores

Revisit every error from weeks 1-7 and re-solve each incorrect problem from scratch

Condense the entire syllabus into a one-page formula and constants sheet for final recall

Deliver a 5-minute oral explanation of three difficult concepts to test genuine understanding