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cp am 1 eens © [Physics] ch-12 Ontty and Measvetement —> Findamentel Quantthes— Cctoub of Physical quantity In dependent Ubon each othest- oH Resnie avie 4 Physical Ouanthes— TL mass m.- Jength a. time IS. TEmbevictuvie XL. amouat of substance (mo) arr. Wuminous “Linlensity Tar. PWeckstic Coututeah . L —> Devived Quantity — Physical Quaatity ihich can be OXbviess tn teuims base Oot “ondamertal Quantity. _ Subblementery Qvuanttes— +nyle aon Sodid angie. Physico! Quantity Onih st CUS Dimension 1: Mass kg | gute m2 Th. Length Metevi om Le Trme Sec sec is bi an. i aa lala kedvin K' (62) . Tempeotgyy ote g 3 - Chives Kibeote pict -f ND Wr. Amount of Substance Mode mole : med e “WI . Luminous anlenstty Candela CandeJa eli * Mueg— TF quier of Object Ss Srnt then find ys \olue in CGS ont P ; i meee NiWr= MeeVee Smt = Nacrn> 5% (tooem)2 = N2em> Sytoo)* tert: Aecar= Sy 1oF= Ne Ques? — Conveot 25 m/sec fa Cos ath ap NOge Nee : = m]/s= Niem/Z —> 256X102 car ail Quese— Comest Bekmlher in migec P 6 Ss 8GKmfhor= Nar|sec => Veviowot. Noh /see ool of elem § <3". sage ofa matestial un C:OrS Sys Ons Sa gent a a system of Onits on © Nea a OF dength os 40em and Onit-of. mass os 100g» the Valve of density of- material wid! be 4—— ; sO) = M20 a mess Ae Mm ee é m3 alia =” ae o WN: (oor UObea)2- Ques 3 — ice i sf 40 youle on Se UnitP Es NwWie Ne, — 10 Kam? . Ny gmemt ee —> 10K to8sKCloremye= Na grtem?, > 10 K 102 XO Se Aer — Nee joxtor fny=108 | Ques:— TE ont of dergth 40-0 and Unit ot mass oa Sk and “and Ont of “Time 3 2sec then, And Vvolve aa ma @nesigy ox New System of Onih new systems r= 10m, M'= bg, tle Dec. 7 NU, ae < tox K in . nm! ge on 591 55 af a sB 108 Kg nr ier Sx oye g LOK kgm prepedtiodh, —. f=d0, 2 os “St Skexod De Se eelfineasy mass density> ML" « Frutea! mass density = janine © VoJume mass density= m3 « Lineost chavige density = 2e" e fAuieol chasige density = Se ae ak e Volume charge denstty= rT Nole- Plane angle and Solid angle have Units bot no dimen SionS a. Tarwe False x T A Unitless shysical quantity moy hewe dimension. —> eiong - ice oe ar. dimensionless physical Doorttty may be Onihless. a= te : SANE 5 SS Physicol Quamtty have Unit moy have dimension. A —Toive aot ase TH. AL Physical quemtity have dimension must have Onih —— = is . Qees— TF EC and Cr vtespectvedy denote enevigy and a aig One then ah has the dimension of: F= Gm? ge San ee cae yas Crt m1 L>te= Ge Ee pears aoe Gas alae eaall re | Ge mts? F + Polessuste [ Epecigy density Rulk Modalus [sheau Modvdus | Stoiess . al) have Same dimensions. =[Mt! 7-2] + Angudacr momentum and pilonk's constant have come dimensione) Retmala [maz] ; © Edectoi’c Fedd an Potentio! gutadient ane Carne dimensions) Rormula Tet A") i’ -~_s> 22> 2 2 PF LPP £PPrP PDP PP PPP LA TD DT Se Se ese Le oF Cr OP lm UCL Fe Suvface “Tension , Seviface eneoigy » fovice geiqdiert | and Spotting constant have Some dimensioned formula [must-*] er * e Hrccedestaton and quiovitational Feld Intenstty howe same dimensine! Fooimula [meut-7] : , x. Potincple of Homogeneity — me Dimencion of each tecim ot ‘s} dimensioned e Yction on 1a Side showd be Some. . = je => yJe cd add. sopeece Combauie PO which howe Same dimension. = y cle We con MuHbIy oor divide o ba. even He theioe , dimensions one dierent me » x. Dimension dess Fonchion 3— y (1) Torignomevtic Fondhon- 9 © F= Ncin(B) » then find dimension of AL and &: 9 fingle G3 dimensiondessc — BF] A -[MLT-2] : i > B=4)meT') ; 0 ae W then dimension of & & equds FoF; and eS a dimensionless . : e« F=Sin (2x). Find dimension of S: = ae © x= (dimensionless) | ee ial 3 : » } cS ote: — Putincipal of Homagenetty Says eft any equ ction Viave +579 >9< » vlemove tt. show!n with equal. Slgh. 9. Fe at + bth, Find dimension of & ond 5." 9 F= ot= btr ug == b= ees ne eer lhe oe 8 6 SOS +5 ~— = Velocitylv) = net then d di Pi a ers B in IMeNSOn, of ol >— ae 1 icimenstonders oo EE ae P= oe — Ve tc a“ ao ge pat ee TRE] > at Dhystecd Quantity $ es Red —= Thesie aie 4 tybes of Physicel Qoontity = =e (1) DimensionJess 5 Constant me EX:— TV = 3-14 =» (2) Dimensional > Constant mp Evr— Gehete =e (3) Dimensionless 5 VYoutiahhe ae me Ot:- Stutain s CoeRcliert: ‘of- foriedion eke. Pa — (43 Dimensions Vowickle . £=- ai . Ee = Nelocity, foutte Et. = : : =" se Dimension ot Diesel Team : ae = ay foie J a " doc = 4 Pt. Dimension of “satan ydoe = qx “ : E > F Ques a = face iil ac vebodby the ‘find the © imension , ay oy Ee x 3 75 [mr-2) ‘S : eal — [nr] ~ ED? ss. OC FIVSVI GIs ‘Wues:- AK =bs Find dimension of © and p \Jaxcac* ats [= qocac¥] if xc ox distance. x Nexsxe =< qx = xX Qves:— Pouce acting on object oa Porohoottionel fe squore of veJacity then cue dimension of Puiobouttional Constant) —> Fav ¢ Fe kv2 Sn wl Vt . Arpb)icction of Dimensional Analyusic = Io TF Tre Peuiod of Simb\e Pendulum debende on Deng. of Pendelom and accelegiction due do guiavity then evtive wf ul Lime 1 US} ee ee MRF Tow ee 4a pee oe ‘| A+be0 = 2b= 14 FES: Se: ) beet dtb-9 = T= 1S (tr-2)b 2 Sy T= [Sh tbz-ab Putting Value kin Cquation(4) 2 — Ts Lath ab Tok Ig =)" = Mies Leth 7-2b ae Wak Se 25 Wess i Bee Jength ond accedevicton Bees sy dameats Dhysicsd Quantity then expuresc Peete feoims of LD ond g- “Tok [Sob CREAT) ToLLsgh (13 Slee Ts Peg te (meet!) = [ust ) 7-24) Z atb=0 i suse at eS ab b= =Y Qe Vo 2 & oe . ~ be s Bone bie s - : wR & WE Significant Fiquote. SS Signifcaat digit indiecte Porecision of Messtvsemeat (digit) = Guy Cootain te One Onceottain). Rule of Counting of Si gciticant Distt $— rT AW non— 2ev01I0 wie Signifecr go Ir AW zeoio between fon=reetp Ge Syoificont Se “Tere ling zetd Othoat-decimal Point os NST, Sign- Beant atic decirral eee eo He Significant AW TF pumben & dese thonlt) al) ZEO Sehr af ZeOlO ane not SigniGconh —- Exack numbecst -have Tnfinite ign nae irene Non =~ NI: “In Powe fooim 5 Potigor od Not. significant” — = Sr Rourdihg of 9— T. TP digit tobe wemoved os dese than & then he vie. od no change on Patiosiy Number. j TE TF digth to be wiernoved , 3 Movie thon 5 then TH. EF digit as 5, +then Poreviows number otemaing Same if even ond’ iWexecke by 4 then if odd. ye. Bddition on subStuaction [with Significant digit] — 5 Hno) otesult ay atten 3 in Minimom decimal DJaces. Cee aa4sP ha = 444 ae thevie Poleviow tpab numbeot lawiedtes by ale " me Re eR ee ee ee ee eee x my) nlication 021 Division 2—— ; H—> Foal digits es deiitten eo minimom significa , gee: Pr 3. 4K0- 2 i SMS Y = 0-G, i Sbsalote Eoiutous $— 4 ! : ) ss Magnitoce oF clifton ce of five youve and Mea- ~ suuied Valve Ax = |x_-Ere| e HH con't tel! dboul Daccisian and Accuuviacy of mea- svoremem : e Ont f- absolute Eofviowl some, as PQ, whose One OOL . SS Eoleulated. eee : ¥ D)aay4s Posthve. 0 a De - Least com of “AIngloiumen can be taken ak absolote CHOW. — 7 : se Relative Cutuior = *- 4. Evtoroor —> _AX . a5 AE x 100 Lm an ed ; Quess— Tre Diometexr of spheviicel bob . When mea— erred With Veuinievr Calipers yeilds Ae Mowing ee ) tine 333m > 3 32m» 3:34em > 3.33cm and Ba DO crialie mean cliamefeor -to AbboiOpotiarte, Signigicaat Fajere oi [Wangs 338) | : ) = D+ So4) Oavg x othe > SS3F 389 9.3443-334-3-29 “i 5 4 Jovy = {6:64 , 5 y dbo = 3.32.8 / ) y | - 2 7s alycapes + O:04mm. pa Genew Crouge 1 J : a Distance a Main Sele on 1 Rotation: 2 = Pitch =imm. >: Minter in Meso ane can betoken : p = ‘ Fre Reading = M-cR+L¢ (Citoudasy Scale Reading ) 5 a ‘ Mves3— FE seen Grange hor deat count of O-0l mm and thene ane 50 divisions Jn it's citar Scole. Tre itch of the Scujew Gr0ge Gye Vee ane 7) S Pitch - ee. iny Pitehs Lex n e OfO| Taye) nS 0 > OSM. wouvwvo vr7ievwwe es eorwewveovw eowevVw FeTTo’ CowFr Ss 
