Class 11 Physics – One Shot Revision (Enhanced)
Last-moment exam revision notes with step-by-step derivations, ultra-short formula sheet, Hinglish
explanations (Roman), and PYQ-based most expected questions.
SECTION A: Step-by-Step Important Derivations (Concise)
Equations of Motion
1 Assume uniform acceleration a.
2 From definition: a = (v - u)/t → v = u + at.
3 Average velocity = (u + v)/2.
4 Displacement s = avg velocity × t = (u + v)t/2 = ut + (1/2)at^2.
5 Eliminate t to get: v^2 = u^2 + 2as.
Projectile Motion – Time, Height, Range
1 Vertical motion equations with acceleration g.
2 Time of flight T = 2u sinθ / g.
3 Maximum height H = u^2 sin^2θ / (2g).
4 Range R = u^2 sin2θ / g.
Work–Energy Theorem
1 Net work W = ∫F·ds.
2 Using F = ma and v dv = a ds.
3 Integrate to get W = (1/2)m(v^2 - u^2).
4 Hence, work done = change in kinetic energy.
Universal Law of Gravitation
1 Force proportional to product of masses and inverse square of distance.
2 F ∝ m1 m2 and F ∝ 1/r^2.
3 Combining: F = G m1 m2 / r^2.
Escape Velocity
1 Minimum speed to escape Earth’s gravity.
2 Use energy conservation: KE = PE at surface.
3 1/2 m v_e^2 = GMm/R.
4 v_e = sqrt(2GM/R).
Simple Pendulum (Time Period)
1 Restoring force proportional to displacement for small angles.
2 Leads to SHM.
3 Time period T = 2π√(l/g).
Last-moment exam revision notes with step-by-step derivations, ultra-short formula sheet, Hinglish
explanations (Roman), and PYQ-based most expected questions.
SECTION A: Step-by-Step Important Derivations (Concise)
Equations of Motion
1 Assume uniform acceleration a.
2 From definition: a = (v - u)/t → v = u + at.
3 Average velocity = (u + v)/2.
4 Displacement s = avg velocity × t = (u + v)t/2 = ut + (1/2)at^2.
5 Eliminate t to get: v^2 = u^2 + 2as.
Projectile Motion – Time, Height, Range
1 Vertical motion equations with acceleration g.
2 Time of flight T = 2u sinθ / g.
3 Maximum height H = u^2 sin^2θ / (2g).
4 Range R = u^2 sin2θ / g.
Work–Energy Theorem
1 Net work W = ∫F·ds.
2 Using F = ma and v dv = a ds.
3 Integrate to get W = (1/2)m(v^2 - u^2).
4 Hence, work done = change in kinetic energy.
Universal Law of Gravitation
1 Force proportional to product of masses and inverse square of distance.
2 F ∝ m1 m2 and F ∝ 1/r^2.
3 Combining: F = G m1 m2 / r^2.
Escape Velocity
1 Minimum speed to escape Earth’s gravity.
2 Use energy conservation: KE = PE at surface.
3 1/2 m v_e^2 = GMm/R.
4 v_e = sqrt(2GM/R).
Simple Pendulum (Time Period)
1 Restoring force proportional to displacement for small angles.
2 Leads to SHM.
3 Time period T = 2π√(l/g).
