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_ — ee +) Angle Of sncidence, = Angle of soflection 2) The. tee » the. hee oe the suflecteds say Be dro the cl plame. Que The dncident say vector Js E amd ithe MetumaL, Vector, us AQ , find woffacted wea vectote ® ur teums of fT & A. we oe RR A A ~ R-I = 2CoSON rad “A A nN Q(oL.N)N ( Rox Taacing ) Va—R > vinual innage B Srnoge wil move enk wher rmissoe ds meved dry disect”? o& nesmol ie ont. wher L distance o& rmissuet fem @bject Changes. M Visual Image: when dhe says Sean te be cliverrging FeusM As psint , although, met Actually Waal ) Cagssing. dhat peint, we Say image Js visctual.. B Smage foasmed, by plame emissary with gaol object Js visdual. B Sr case ok TUUEKS , Jf The image Js fersmed behinds dhe ciate , dt JS w Wattual dmage. B Visual object: When the Cen it HAYS CHD dntescepted by w rectal nines of a) Safeactin cee ei a Sussace » them, dhe, psi =f SOS Seu Whee the ways Would have : Aa, can FOE FE EE Cenverged Sewes ab the = Vizcual ebject Fete the cmixsete So The Hofseacting- Surface « @ Field o View of w Ptame, Misguste % — The t whese vafhection, ru Qu mise Cam be: Seam, ay cextairy point “ef view JS Called dhe field of vias. — Painciple sf RenesesibiZity + When a way JS Guversed JES emtine path dS vuwvensed : Bds 20 +d+ 2(d-sx) 608 ~ The Goys vey Close de principal axis axe, Called paxaxiad eeu For parabstic, mitsors, poxalllel says Auer 0, Converge at ae Thus fore sphexical mikeers this will met be possible. considec only paxaxial days Fete The Study of umage S “founailen. fasm sphesical susfaces. NOTE : Comvertionalty , ebject Leexdinate JS demeted by Ww Amage cseadinate, Js dereted by V (c] Fo Cencave cmisswe% ,R JS -ve Conver mittiretu, RUS +V2- 2 _(BERNETION OF “MIRROR FoR} 4 § 2 a +28 of “i ¢ ae a a+i=Bp Ta aaese a-B=B-T Oe b+ = ap zi ae We axe Sa paxaxiah sways, g ** Oh, Ba V¥ xt Stall. amgles a dan G+ tam Y= 2tam Bp ot PG. BG 2 e Pa 7 Rly 2 RY RG alee eels ) RU GPM: \ => The Coexdinate Sf a point where the image of am ebject Rept at co onthe PA. Js Feeds JS callleds fecal Larngth ie 6 fiv @ we by def. ( oe pe ee R Plasne, emdicguias, te Puinc QxiS Passing cthsugu fecus us Anes fecal plame. ess “" ie Sf ws +e, dmmage, Js Viecuad, gf ov =-ve » image Js gaa : — Psint ushese Convecgensit s act Untensect- SF Wea-tve , Object us visdual Wo =-ve, object Js sual, pa om TRACING, FoR A CoNCANE re a Take a Say Parallel te P.A. and pass dt dhswugh, cus, 2) TaRe amethee Hay Passing. dheeugh, Cama co dts path. Sty TRACING FoR A NiRTUAL ae ne) oF ae Shwe ino ) } ata MAGNIFICATION OF A CuRVED miaROR }—> a - A xreage hobject i m -AB AB ii) (he “-(%) amg = -N uw emma MAGNIFICATION OF A SMALL OBJECT satay \dul ldvi os ee acai We Ww £ aL .dvo V2 “ob ee bs dv| =V_ ore “ ee on 7 Sona. Oe Que f= -Im Q = shaxp psint ek alL-pin. Gi) Whee wid image be foxsmed ? Gi on =2 Uv) ThicRness ef image, en PA: cit) im =2 (V) Noduxd of i (i) Mo. nffieds /diminished Wii) Simply Magnified on distexted Cvitiy Buect | Inverted glo" Pe ete ag | (ap) THE LIE : : d= 4mm Lia ) ) ) a Ve Ge ls) io a ee ye io v= lo 9 oe 9 ii) em = -/- #)(4e) = co ee) 2a Civ) BI mm (VY) geal (vi) diminishedL (ity disterted (viii) invested we) A spherical Trisee*e ds de be used cis a 5dimes cmnagnified Jmmage ory w Scmaru atadistamce ef 5m. usm une object. (a) What be athe fecal famgth ° (by) What sheuld be dhe sepaxahion blur mmissete & cbject ? @)me=-5 SNE EE Ww v= 5 distamce blue mage & ebject = 5m e205 (b) U-w= 5 pS bw a ee By NES nmin pial eee 25. 5 ek + an BIG Que) Find distamce bius cmisseas uf often 2 sefactions , smmage US Formed at §S its a z Me Ae & (i—> ae « f=+20 —— f=-20 x Ww = - 30cm »f =~ 20cm gel iegeee leone be vy -20. 630 Cea = NES 1.30.20 600 Se eels V, @o \h = - 60cm pel oa OF A RAY UPON See eee 4 6&=n-2L S. dixaction Que.) Find ci) Stead Un twems & Gi) Find @ Jf gay ® Js 11 te erissor.s@) 4l=42 = X-@ Spee = 2- 2O @ . Zu = 3L- Q(.-8) 6, = Sts 2 2: 2 m~ 2(% -@) = 2Qe@-3t me "2h = 20 fir ) P1o & S.= W-2(2e- = 2n- 48 = tS (iy Spat = 25L= 20 but Snet @= 60 7! ' ‘ ! LLLEL ZL Object ak bisectow ses caterers Quod Find ne. Of images. BE Pg = can @, Pr Pq. = tame, t Po H PE = tam, : PO cbam 8, = Sind, Sin Gp C+ O, 8, axe somail) 2 Hope = Mactuat (42) [F°9%8, =45in65] NOTE = i os Dopp = tyrt, Ho wae ig u DAPP = Me ES 1 apparent Ag 3 distamce Que) Sheus that Dapp = Mo] fe. Lo + +o cg i Mo 1 AX, = Me_ “ f “Ao A, es oe. AI,= £4 * - : iF de raed A, Masi? = : N 7 Qi, = He ay ari Qt, Me oer [ewan] QTa= Mote 4 Apt Me a, Riss Tot Glo Dapp = Mof toy hy te ae of Xe rie ert NOTE; 9f dhe ase senexal Slabs bur the Object & athe ebsawer, , than, the apparent distamce, JS givem by ,, _ : Ht eee le » AL (3) L=o ®D eS = are) Dapp = tote [SE Alg Po Ye Aw = Ya, k———> GS.—_ 6c ax Ggass Wake < !2ern ee es qe oles 12 3 vA “3/2. irs Dapp - fish fo% Mam = £ [2+ +£] | 3/2 47/3 3 ie Biss Leaee 5 Bon > Sf the image Js feurmed on the Cagssing. Side fh ow xofea- Ching Sushace dhe, image us vaal. > Sf tthe image JS feeurned before Cagesing: oie-chen segs dS visdtual. | Shift fore Nisittual Object : <-tk— = (jd )-um. dhe i ( a dizection oe oS incident oh = eav : grt t 5 — weal ioge. ae VisduaL Quod Find pesitien & matuxe of finaly image if s0, 18 (2) 5em Cb) 20m =-l40-2 = 158 2 -Fem g 622 GQ) @=5em —> geal image (ii) = 2ocm —> visual image Sf a= I5cm — visdual image Lost safaaction is from Left Susface of Slab. ): =f aeton FROM A SPHERICAL Ree (Pasxaxial Incidence) 1. Fars ushichs HAYS ase Coming 27 dnte uhich, HAYS ae going x Rus alse Signed vaQue LO MAGINIFICANON oN REFRACTION From A SPHERICAL SURFACE 3 9/6 x A' Aa oe B 1) = -A'e! (AG ee AB Ae = Fame A’P AB_ = toml AP AB AP = camo w Sine = A AB AP tam & Sind = Ap (1:4, Sint = AL,Sinse) 2 ff sencrion FRora Tan cenges} (Posraxia Incidence) Thiry = dd p ru = ddeab Zeus dhickness reek Meo Mi 2 Ae —-&® ) adding O«e® Aang) = He) gk dems Makes Forurnula | $n AD] Vw, R,,Re —> Signed valves NoTE: 9¢ fems is Ripped by 18d, dems MaReu'S femula germans usnchasnged © am R, -Re_, RoR be Flipping. ef a Thire Lugs Aas me effect on image fexmation. 5D a Ee By deGinition. wee ak Wa 2 fA ee ge Using dhis vusutt in hens Makox’s. Foruroula, aes) AX fis -ve —» divesging- — Visual image gf f us +ve > Cenveuging — geal image See OF rey essa Side Witho Aighesw ‘R’ comes Fist and that with Lourss sudivs && Cusurotuxe Comes and, Nakusa of Loms Js giver by ard past of the mame. Ate | /egame Geouee * Concave, Cc baer a: Divesiging. Divergin LE Ad é Mp PA
