All Important Derivations Of Physics Class 11 Pdf Download Extra Quality Jun 2026

v2−u22=as⟹v2=u2+2asthe fraction with numerator v squared minus u squared and denominator 2 end-fraction equals a s ⟹ v squared equals u squared plus 2 a s Projectile Motion

I=Icm+Md2cap I equals cap I sub c m end-sub plus cap M d squared

Cp=Cv+R⟹Cp−Cv=Rcap C sub p equals cap C sub v plus cap R ⟹ cap C sub p minus cap C sub v equals cap R Unit 8: Oscillations and Waves Time Period of a Simple Pendulum Let a bob of mass be suspended by a string of length . When displaced by a small angle , the restoring torque is active. Restoring force: For small angles, is displacement).

v=Aω1−(xA)2=ωA2−x2v equals cap A omega the square root of 1 minus open paren the fraction with numerator x and denominator cap A end-fraction close paren squared end-root equals omega the square root of cap A squared minus x squared end-root

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v1=(m1−m2m1+m2)u1+(2m2m1+m2)u2space v sub 1 equals open paren the fraction with numerator m sub 1 minus m sub 2 and denominator m sub 1 plus m sub 2 end-fraction close paren u sub 1 plus open paren the fraction with numerator 2 m sub 2 and denominator m sub 1 plus m sub 2 end-fraction close paren u sub 2

These equations apply only to motion with constant acceleration ( First Equation (

Y | * * * (H_max) | * * v0| * * | / θ * O ------------------- X R (Range) Horizontal displacement: Vertical displacement: Substitute

In CBSE, ISC, and various state boards, 40-50% of the paper often consists of subjective questions requiring full derivations. v=Aω1−(xA)2=ωA2−x2v equals cap A omega the square root

(This is the equation of a parabola, proving the path is parabolic). 2. Time of Flight (

Here is a curated list of the most crucial derivations you must master, organized by module. Module 1: Mechanics (Kinematics & Dynamics) Derive using calculus.

. After a perfectly elastic head-on collision, their velocities become

This public link is valid for 7 days and shares a thread, including any personal information you added. This link or copies made by others cannot be deleted. If you share with third parties, their policies apply. Can’t copy the link right now. Try again later. Time of Flight ( Here is a curated

v=dsdt⟹ds=v⋅dtv equals d s over d t end-fraction ⟹ d s equals v center dot d t Substitute ds=(u+at)dtd s equals open paren u plus a t close paren d t Integrating both sides within limits (from time , and displacement

H=u2sin2θ2gcap H equals the fraction with numerator u squared sine squared theta and denominator 2 g end-fraction Horizontal Range (

Laplace corrected this, stating sound propagation is incredibly rapid, meaning no heat exchange occurs ().

W=∫R∞GMmx2dx=GMm[−1x]R∞=GMmRcap W equals integral from cap R to infinity of the fraction with numerator cap G cap M m and denominator x squared end-fraction d x equals cap G cap M m open bracket negative 1 over x end-fraction close bracket sub cap R raised to the infinity power equals the fraction with numerator cap G cap M m and denominator cap R end-fraction This work is supplied entirely by initial kinetic energy (