Tcosθ⋅2πr=πr2hρgcap T cosine theta center dot 2 pi r equals pi r squared h rho g
Integrating both sides within the limits of initial velocity ( ) to final velocity ( ), and time
s=∫0tu⋅dt+∫0tat⋅dts equals integral from 0 to t of u center dot d t plus integral from 0 to t of a t center dot d t
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 all important derivations of physics class 11 pdf download
∫uvdv=∫0tadtintegral from u to v of d v equals integral from 0 to t of a space d t : Since is constant:
ve=2GMR=2gRspace v sub e equals the square root of the fraction with numerator 2 cap G cap M and denominator cap R end-fraction end-root equals the square root of 2 g cap R end-root Unit 6: Mechanical Properties of Fluids Ascent Formula (Capillary Rise)
0=(usinθ)T−12gT2⟹T=2usinθg0 equals open paren u sine theta close paren cap T minus one-half g cap T squared ⟹ cap T equals the fraction with numerator 2 u sine theta and denominator g end-fraction Maximum Height ( At peak height, final vertical velocity is zero ( Tcosθ⋅2πr=πr2hρgcap T cosine theta center dot 2 pi
Work done against this restoring force to stretch/compress it by a small distance
g=GMR2g equals the fraction with numerator cap G cap M and denominator cap R squared end-fraction At a height
0=(usinθ)2−2gHspace 0 equals open paren u sine theta close paren squared minus 2 g cap H all important derivations of physics class 11 pdf download
gd=43πG(R−d)ρg sub d equals four-thirds pi cap G open paren cap R minus d close paren rho
Hopefully, this guide helps you navigate the fascinating world of Class 11 Physics. Mastering these derivations will not only help you score well but also build a strong foundation for all your future studies in science.
