SRMJEEE cheat sheet

SRMJEEE Engineering & Technology: Physics, Chemistry, Mathematics, and Aptitude Essentials

• Kinematics: for constant acceleration use v = u + at, s = ut + ½at², v² = u² + 2as; projectile range R = u²sin2θ/g is maximum at θ = 45°.

• Newton's second law in vector form: F_net = ma; on an incline of angle θ, the component along the plane is mg sinθ and normal reaction is mg cosθ (friction f ≤ μN).

• Work–energy theorem: W_net = ΔKE = ½mv² − ½mu²; conservative forces admit potential energy with F = −dU/dx.

• Circular motion: centripetal acceleration a = v²/r = ω²r; banking angle satisfies tanθ = v²/(rg) for zero friction.

• Current electricity: Ohm's law V = IR; series R = R₁ + R₂ + …, parallel 1/R = 1/R₁ + 1/R₂ + …; power P = VI = I²R = V²/R.

• Optics: mirror formula 1/v + 1/u = 1/f and lens formula 1/v − 1/u = 1/f, with magnification m = v/u; Snell's law n₁sin i = n₂sin r.

• Thermodynamics: first law ΔQ = ΔU + ΔW; for an ideal gas isothermal work W = nRT ln(V₂/V₁) and adiabatic relation PV^γ = constant.

• Chemistry decision rules: bond order from MO theory = (bonding electrons − antibonding electrons)/2; a species is aromatic when it is cyclic, planar, fully conjugated, and has 4n+2 π electrons.

• Mathematics core formulas: quadratic roots sum −b/a and product c/a; arithmetic progression nth term a + (n−1)d and sum n/2[2a + (n−1)d]; slope of a line m = (y₂ − y₁)/(x₂ − x₁).