Partial preview of the text
Download Physics important question and summary and more Cheat Sheet Physics in PDF only on Docsity!
Y ies = a a WAVE “MOTION § - Date, > Page No, —____ Pre TH. ——— ~ Wav, = Wave is 9 divkirbance from —equillfbrium position, hich t t 7 travel, K, Pasdiles donst trove move - 22 || Bucrles osciNade enh, Waver— eneryy. davel: Qmemantum Types of Wen / ———_,, Mechante af «UM eeRantdl awe {em waves Ware : Negus re dun NW dent wequire ‘me dhe} Cyaccum’) FJ Sound wave s LS FransveneaRve: , Spares on Sir 9 Lighh- e ¢@ fl Auutevea ne ate, taluran aags pak FE My TiiMatler weve» le-Rrogtie _hypothnts On the basi Vibration: of _paritles t £ — ——f = Wat. ine grea: , : - — acertecitrechie a = divechon of prepagstor i oF prpagahen yt = Woe | 4 laoves ‘On shin &» Sound wave in air L 9 Electroma nett, puaye$ C variation tn presure and densty)- ready wt THI d. ( Silid, boqucl 7 gas) Ceolidy LeutdPsahce) % [Ripples on water surfite» (Trroane + Loy thudiral J erwets + Sesmy& waves — \L-4 9) woes | | Date, — 2 = | Page No, —— Geena pate of a weve! id | Some quark 04. oscillate = LN displacement» prenure , alent “i % BR? ield, —~ a t Pathe -t |e a, / . a eo all Ae | YZ Car staatey | attends upen por K (dalance) Cy tine tl) | | 42-flast)| | Mle} ye ax tee | U = nt ty + Pre “2 equation s ees f Sn,’ | rr 8 Gnditition foc wave _moffin!~ wel 2a = kd 4 KO 5 conte d{* dur a Ell ¢ Should be dened fo all Values oh - x aw £3 ‘ ely = rach tule - kx} Femme 0) nei? } Date, 7 Page No. - Ht has Lintte. and Fixed spied depending ton he | nadure. of - medium amd fy fiven pa vo fa SP When it tavely in a medium thre ts a Tuas | phase Ufference among the» successive pardicles of Aha waditen. Po (cither Suess ‘or aot), \O The yibrating parkicles of te medium possess Lot Kinet enonygy “anal _pelenin ent The punomihor gieh at reflection , whrcetion , tet irbrhevence and difhractin. are chown by alh_+types of wave bit polarization is only shown by Arngverse. waves “Types of Waves! There are mainly, three types of q ot WAVE « Thy are: r Elecchomagnetie wave > (The waves, whith donot heed require matern! medium efor their propaaation are calleck. Che ctromarnetic wave. Lf Pamsserne— et Light wave, K— ry ger Gemma uy eke (2 | Mechanita| ware * The waves hh cenet requires material mediin far thei © _propagafien are cableel mech antal waves. | 4: Sund waves, wane in shthy | walt wave , oft+ Date, 2 __ Pade No, ——_—_. L2 || Maker wave! » || he waves: whith: are alkali with mater are calleol mater waves» f we Elector waves. Coane of clechans) “Wpes cof Mechanical, ‘wave: J L 4 4 4 4 Trans Verse wave. Ramyt eann Wa On the baat of & direction of vibratfons of parcdiles oF a medium , wmechankal waves ave. of tuo type’ (1) “Trans verse wave! a) Tf the “preg of the medium — yibverte Perpenditulady— 4o the ‘direction of vib: propag affon of) tho wave, dren the wave is "walled. “Hanwerse wave. There waves travelp in the form of evert anol trough, for eg: water wave, Wave On ‘efring-» ehe« J | cret oad dixecton of prepagatin . le i _\ 7__\ ‘ O {ff \ 7k A \4 Wa, Treush | frou 4 K. " oN . Trough ‘al fas Graphiad _veprerentebion of Transvese wave. 7 f f | bo ) | . ; TJ 203 4 s 6 4 8 9 £ At =F #2 Y , Yr asinw.tT = - ee by : = ash Myx = asin - @ a = D-H0Fq 4+ Ay T dz L a) | At 2 47272 2 7h oR & + ampthcte—O SE | Gt Asin wae yz = A (mar) } a F i es \, t) ee ce Ye OS £ ee - - _ GY) | ag t=2T , Ys asinwh = A ¥ g TE ezawe - < _s , a aes ee ee ee eZ b----- = += _ M | Ated= 47 >To, yeasinwk = oO. 34 C) f a ~ OF Fee VO. A Ty 7 3 7 5s 6 2 & § 7H Date, —— Page No. — @ Up es . + va 7 ~ a @ 9 a: aes : At t= 5T , ye asnwt = wh Sn > -— a [ downuarl) —~E o ef fz Oe ¢ WA AG t Ai 4 §€ 6 F & g £ an AY f OT | my yeasinwt = asin 6% 2 ma is fay | va 2 re as as E IN — eee AK R= 2T , yeasmwh= ath Fe 2 j as 4 im ect Dy T Ya SO ih SM | KR J x - 7 ar F q te (Dference: _tetiveen bagitudinal wave | “ dransverse wave fa [Sei] Longitedinal Wave sy Transverse wane + 4.) The pardicles of the medium [fhe pordicles of He medium / | viewtes along tra__ direction vibede pependieularly +o the | of papegediin of. waves. direction oft propagation waves - 2 | Comprenin and raretetion UlCrenks and ttoyshy ave wegen ave produced al ernethely produced alternatively . . V —— | Tt can Propagcde wa iy =| Jt can propagate in all sleds and ak the suvfite | [Apes of media tselhl, fru, of Iryutda (due fo serface and gas. n 4 av) Rersion)» 8), Fi—ts—prdarenl Thoree ts e =f Soa produced due fo no vartation in presure acd in in. preaure and onsify thoughout the medium density Hrroughouk medium» Avs Ve f- 4)|| Te cane be polarized. ay Te cane be polarized . Ue = ¢. Ze Sound waves . gh alr g by) E4} fos vk waltr wave y [| V and are wager + medium , “ant, oft. ia NG Cte. v =e eon > | 4a Date. Page No. > arent orD on 5% Pardivle sper speed :- — = ~ _ 7 [The speed of parle when i ext oscillates tu -hanifer = Hh Crogy fromm one pawliele to anether ts Known a a ! pardicle me - Fc The Uspleement of a pordicle fom Ms ean pestlon yy df 2 a sin(wh-o) — whore, a= amplitude =_aqgulov speed, ry phase i ference, differently CD wind. f ‘3 = atecos (wa ~$) x 09 > guscas (wd -f) t fe pardle spent Velocity WpJe avs cos (wh— $) Be, Vp ve awtir-cinY{wt-) 0 Vp c 70 Jy at— atsint (WA ~$) or, Vp ew J at~ yt t F — —_s [= Vp = wy at—yt Vprev = He -9 tC aw Prose of 3 te || Phase” of iret wave! The sygalor didplacement of the oscillating perdile in a vrnallien which As places olescribes “tk location 6 \\V\V VA {Cnown aA haye hase angle of Wave. — a een | — a a a J - ~ aye = a —~ + J pa Li florence : 0, 27 Gray Same phase (_even inlemak raul lele of Tt) plains diflerne : Tt, 21 29M) +t. 9 opposite phane - (odd inke Fred rullple of Tt) for paw aiff: peh difference » A = IT par differen, 4 2 2TH | ! . . ys path differs [r= 2m gg = p-| \ a Od Br porate cle velocity” : "Ey fe me positon yn Ay they Vp co, U , v Méan positens f= 1 thay Vp 5 aw Ih te Pro vessive. Wave ( drave ling wave.) * = vo = : _-_t dasplatere ja T 4 . . a aX : a >t "hee t Zt Pa ) ‘=e A > sees OU Se Pac waste thal dravels forward Tom One i hi aah Conslant “amplitude fs ellnel pro gresive Ware + Cate, Page No. | Consider» a ragrerive wwe ards from origin “O’ [anol _dravels with” speed 0" _ along positive dire Hor | of rear as shown In tho {pyr | | The parkicle at the orite 0 at oe time g?. yilwades acconling fo equation y= asin wt —Q) whee w+ On called angulac velecity » g ‘y= amplitude of orawe. ¥ | Since , She pardivle fo the ight of oa eht ontain stavd | viloradting after defantte trtervat Hime interval with | respect to the parditle at 00. The phase iy Go on increasing “BIN the direction of propa ain. |& if g fis the phan difference. between the partele ak Pp and Hat at O» The pardinle at P yim seg accord fo the equation , 4% 4 sin (wt-$) —ft) “The _ point Pis at a vite. KX from te orfyin~ t So, pe 27 XK x | putting the value of t in eg? , ve get: 7 7 ‘ | f= a sinlort ~ ere x) d Sine, YE2Qk 4 & ean UW} becomes! t yo asinfanepe - 2n x) U UT » 7 MH y- ast mn {+t —-K\ —~y) | U , a a Lad | Date. | Page No, 4 [DeRevenfnal form of save equations | ; => The general wove equation js 7 d h — cY= asin( wk - 1) —O DiferenGrtyy e7 wl) wird. 2, UW T ty = 9 au0-sth [* ae *) dy = awees (who) Ky) —B ag Again, differentiating epuation vorv. dina 48" ys qet= 2 Qursinlut- kx) de sa we ain(wka lay. om oferty ——di) apt Y Nos, difleediatig. ean ty wilh spect #0 75 Segal, dy = = ak coslwt toy ox iy a Ay = — hea ch (d= Wx) dy* oT, dt = ~Iey —) oh aN Og} iad O {ten la Date. 2) Page No, ——__~.. ee —_ ie putting the value_of eI tn eyt th) we gett a: ~ dy os ~wry -1 dty ae dt Ke dx PM eZ | ay ~~] ae | tx Oo dy = (fer) dy d4*- dx Oy diy mf dt Att — Je: diy = vi dy [da dx L— Tha is the differentiak form of wove equation « Principle of Super posifin of Waves * 7 a The principle ot Superposihn of wavec gcdafey that t£ large number of waver are davelling simultaneous)y through a modivn » tho -resuttouk displacemens af the particle of the wedium is equa to the vector sum of individual dirplacoment gure it of waver. / £e@ sy ty te TY “4 Ur d= Jt rb) SANA VS Date. !2 Page No. — ws OF Lek, a yoo db) “Fa, i Gh Lec a cos p - on | Ono , Ar sind + a Sing, = A-sing . ——#iD ‘ Yt Peep. stneat + Asings coset 25 ge nsin (oti) im _Epalin @ secorty' Is sal the form of Gye )) G— | de Yom e727 D and dn) 5 Mulkplyry amok addline both aqhs od O_ AC A2(omry + cost) (arsin by + Assind) + (ayes b, + % Cos pF | 2 Ma atsintp + 2a) a0 Sind; sind + arsi®d, + arcodd, + 4 ] i | j ail 2ayae cosh, cas 02+ ascot pf, a an on Cosy stn ba + Cor, tos $2) 9 ATS ar (sith t cost) + a2 lsinthet Cas™ hr) + Da, acl sind, . g Pra abt ab + Vara, Cos C b4~ ba) i po a= Tap abt tam ee (.- dy) | Us Ts Rerittnt ampli tate igh) Bein, ep Oy Oh Wy wag Ame = asingd, +%Singr. Aces gy cos hy +97 C% Gr or faa ‘2 = Sind, + Or stn Qe A,Los G4 AHto$ba — — = b Fan is a Sint + oss, : =F Zz ————— ( ——) # Le af ne Date. Page No. sSdaRtorary Wwe ( sdendiog Wave) 3 |The yenlant wave -forind due to Seper— posit || Superpositen of duro progvestive. waves of Same amplibede we and frequorey Aavel ag, ih aed direction e és Heap ax” Slending ” waves. “Jn wave , there te hen’ Prpagation aft ‘energy in any T sere Airectton + £0, it ‘Appears at~rerhe for exemple + waves ih shring Lof finthe lereth_» waves th Organ pire, | eke + [The formation of standing wave with nodes anol antinedes bk oy shown In frire. U x f Aline n= Se a eee IN, a AN AN . = i 15° Met Fosmalton of nace (WN) ancl antinede fav) Th ShHoray wee leks ys anol gr be the Ai splacement of fy URRress— progressive wares - of same amplikile and Wavelenath wu havelling, iX opposite direction = simultaneous ky with ‘sana. velocihy Up? Theny the equation of there © woes Can be Vor Hen an! pn ltbpposte dnteln ov) wea asin (wt kn) - Y= asin (v4 they) 
