Differential Equations : Formulation and solution of differential equations of the forms.
1) dy / dx = ƒ(x).g(y)
2) dy / dx = ƒ(y/x)
3) dy / dx = (ax+by) / (cx+dy)
4) dy / dx = (a1x+b1y+c1 ) / (a2x+b2y+c2 ), (a1/a2 = b1/b2)
5) dy / dx + p(x)y = Q(x)
6) d²y / dx² + p1dy/dx + p2y = 0 with p1 and p2 constants.
7) d²y/dx² = ƒ(x)
Unit of Life : Definition of life, Cell as the basic unit of life. Cell theory, Prokaryotic and Eukaryotic cell –structure and differences.
Modern Physics : Bohr’s atomic model for hydrogen like atom, hydrogen spectrum, x-ray emission, Moseley’s law, wave particle duality, de Broglie’s hypothesis, photo-electric effect.
Constituents of atoms, isotopes, mass defect, mass-energy equivalence, binding energy. radioactivity - α, β, γ radiation, half life, mean life, fission, fusion.
Energy bands in solids, intrinsic and doped semiconductors, p-n junction diode, rectifier, pnp and npn transistors, common emitter characteristics.
