Modern physics details notes, Study notes of Physics

Modern Physics – Complete Study Notes (Physics) These study notes provide a clear and well-organized explanation of the chapter Modern Physics. The notes are designed to help students understand fundamental concepts of atomic and nuclear physics in a simple and structured way. Topics included in these notes: - Photoelectric effect - Dual nature of radiation and matter - Bohr’s model of the atom - Atomic spectra - de Broglie wavelength - Nuclear structure and properties - Radioactivity and radioactive decay - Nuclear fission and nuclear fusion - Important formulas and key concepts for quick revision These notes are written in a concise and easy-to-understand format, making them useful for concept clarity and fast revision before exams. Suitable for students preparing for competitive exams and board examinations. Subject: Physics Chapter: Modern Physics Use: Concept learning and quick exam revision

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2025/2026

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\ BOHR’S Pestulates: 4) B@ectssens move Jn Cieculass orbits axeumd the nucleus, 2) The mecessasy Centuipetal fouce feu sordtion, of &'s comes Juem electrostatic atteaction biu dhe & amd dhe muclus. 3) Behw’s Quamtisation Rule - The amaulars mementum ane e Jruam exbit Js 2 quasntised such dnak anVgc= MA " mt K Hydxegen. Like atens means Single, e° Species Eq - H, Het, ek, Best exc. Que) usi Bohse’s dhasty ,dexive amy expression, Aetu - sade Pee me oeubit Ury H kiRe Species. ! (Che) Ce), Sane ~ Ge. oce WO © \ : ova = m4 _@ : 23 Vis Mh 2sLMeL ~ 2a a (pe . it Yr Ev ase Ay : So = mm AE «UE, yer Zee ston Wo = mA Eo sum Zee . V= phe . xmze oe ) 2M “wee, 24) Eo ok 0) ee (eaten esc | vu 2D gs Chim ove Bee sum Zee anh Ey OG. = ge Oe 7 VF No ro (any (Wp = 0+ 529A) Que) dro panious que. find itetal emexgy f atoms. E= PE+KE = KG Ge 4 rove OU ae) Bel. COS) any YE, ww Ce Sl (Sree) “sum: Zen Le ao. Ze Hones MeheE 4 nape e® S 2@ anzet ; ~"] Yee Q = -amzel 8 kr es E= -mzel aoe SORE 22 ne Kye = BE Benth" €, 2 KE = mzel Bart Ar es &o cee =PE PE = -mzel a a oe & =+6&,. z BE, jlo: Gene add of a me atem vr gesund 647 ee QuarExcitation eneugy. foo I excited state of H-GRe Species = 40-8eV. Find, dhe fenization enengy. 40.8 = -13-6 (ZY (47) ee ee ee ot LS 2: = -|3: oF ae E = 3-6 [5 - a IE = 54-Yen Qusd C2) Perit — |Seabit (Eennit)tnam = COteN ,G= Ho6ev when (2m) Finds 1,2, (Eola queumd stare E 8 crrre pessible, enmitted E- 204 = -13-6 (2 [te] & Yo:8 = -136 (z\* bee a | mM 2 (Se (-30#) = Une = IG OQ S22. (2F = 204 y 8 13-@ + hyoac% : Boe - (13-6) (1) Fig -"g = - Q4-Gev Ean carnce = (e208 2-4] : = +13-6 (> : a) 2 lO: 5 ev oe = jo- 548 ev 449 NOTE: A phetery JS abseubecL JF Jt Couxes pends de am exact emegy gap bi due energy Leeds. Qus) Find, the ne- eL Spectral Lines emitted by H Like Species excited te quant me. 6. me. of special Bnes = Mo, = (mOnr-) 2 By: SP me. of Spectral Lines = 6 dhom TU EH XNDSE cambe exphained ondy by Wane thes of Light. tere ELECTRIC Pera B® Explains amd supperts asticle natuxe, Ri Sea ae : a a Bwiners Light Feequency us peates dham a Cesctairy Theesh- held Arequency , follS on. a metal Surface, dhe e’S psd ejected FEM athe suxface - Thus phemene — men JS cadled phets - electric eect WSt cam be explained nly by pedicle thee ef Might , because (1) Bedeus the dhcesheld Roe ency ,dhere JS me phete electdc emission , dssuspective && duxathen f expesuxe . Howevesc , by Ware cheery dhsa could have been, enrussion ff Suixicient dime was allewed accumula (2) Thesa. Js ene dime ag blur the incidemt sudiation & phete electrdc emissien ,ne matte. Aeur Lour athe, inkemsity- > 4. Pheter Us a packet of enexgy whese enegy JS given by Eee 5 he. : A 50 NOTE: Sm cage K& Meremal Jncidence, OM pexLec ectin Surface dhe ee ee = 2X: : ) Que) SN’ phetens pew Second ome incident netsmallly ery a metallic phate, faem ushicty tm? fraction Js absewbeds .Fi dhe fexce on the plate . es a absexbed seoftectied Nn, N(4-N) fi Fed N hs = T7777 os AG) poe CO ilake = Nek. On PLOLe = CS + 2N - ANAM, Q a = ANAL - NAT A A Gut) A bear of sntemsity T? Lies atamamale ‘6 witty athe Metemal er a pexgectly soffactin SusGace - Find dhe xadiak PHOSSUKG. Take D= disc ff beet wh : . Charge uy Memenium ef 1 pheten Say = RCes 8 (4) Pao” [2en0 A) G4 A= x (D)(Dsec¢@) @ 2, = JUD* sec 9 4 WE Od. Uma oe Gmc TLD? eps ILD2A 4 P Smee = ank Cor? © A RDra Ep P= 8Ceto. CL a Uc ? P= 2XCo%e c Quad Find force on perfectly absorbing. Cone. : F= (aR) (Gh v, v : RX . Que) Repeat pravious preblems uf axis of Core were de be , setaked about angle So”. A= (2) ( Deere) A = ILD cege q _ Que? Reacting Cone Find force exerted on Cone- Chamge, Jn vectical omementur & 1, pheten. 2 ee sin ©) Cos (90-8) = Zhu Sine A = m.( 24 sin? Fem (2h sive) Tse MPEG ls A StR® MAL = RYE A € ee ~ du= nA. ose oedan, IX * a QZ OX S Loge 7 T= TA CR fecdeo se A Ge ue 2 T= MA cotie.2 as 2A Se Texque f mg = Ting = oe. (48ire) Ls m( fey 2 mA = rege +) A c 5 AGS EQ cefe = ty < =e ra 2 L2* cose = ™ag Sing 5 c ~ TaRing- © ite be small, + ™ Le) = IR? cote iY) puss = © ( Q y Qc ac . o> Te i aog.C > Minirnum emexgy that sheuld be givem te ary & ge dhot = JE Comes out of che Surface. > Gemerallly Jt JS Specified in ev. \S. 9 3t JS @ matewaL puspety. a MUndrnurm feequency Saquitoct q@ phsterm we as te Cause phetelecta emiSsien. ee © V= Vanneshetd » (KE) max =O) Awe Kyrnay= Av-w (Tbrmesnotes™ > | me [STHRESHOAD WAYEXENGTH = Maximum wanelemgth, feu whictu phetetecttdG emission ~ @ccuKs. Venscetet. = Ve eee Au Atnnesheldh > Atnsesheld = FC. 7 Vv = a ee ea PHOTO TUBE aa Que) Krnag= 5eN , Ata 230m . Find A ef incident ) wadiatien. Be Be = Kn ie ete Ga4e evnm) Re Aponte ee’ sa he ele Bes A ( 230° au2)™™ A = 1BOnm 7 cuamspaxent - windeuyr a en eballic pide = seceiving electede. 2 (esr BO Phete dube ©) | ‘ {4 -G)- ae (even pelasity cam be chamged) _ (SeTURATiON CURRENT (is) Once the phete e©’s asa emitted ,Seme of the phete &§ Fadl back inte the phete emitter due te sepulsien Jeuem Previously. evnitted &©’S. Nous, vf dhe weceiving electuede us rade tve wert. the . ermittese, then dhe emitted e© cakes Lesses dime te _ Geach the weceives due de electuestatic puld, thus cxeducing. dhe casurding. of e's & the phenemenem cf . ae | ) ) ) 2 (ir cuanncremene Gana cea paoney (isd (ug), Ee) Ng | ro (Keeping. Ysasme.) Que) Upte: What max. petential wikL a Ceppew boll be Chaxged When deadicated, by A=!4Onm, given Woy u.uzenv Ng = ( Bua = ae = 44onuy aes gadivs Js giveru, 4 Cam be feumd by Ciena) Ou The, me. & phete e®'s erutted pew unit incident pheten Ns Nefectyens | Nphetens |!) alse called, yield Qua) Givers Ax O-3uM gf dncident Ruse Js T by Aon athen. phete cusment changes by 4oB yA. Find assum dees met chamae. 3 ‘ @ "ts ° < P «mE = (Ae) c= Te (me. of © 8 pec sec) Chp - me. & phetens Pex sec) GY: =. BA. (Ap) Re an re 4.8 x (242 lo> 300 = 0 O19 BFS « A 0-02, 658 Qu0) A Feuex, Sewuce Source us ak distance f Zamw emits phetens ck E = Sev. The 08m fas a metallic Sphere, of Ur = Sev & Madius = Bx id3m . (m=z lO*) . Calculate i) me. & (il) Suatie phetens pes Second oh de- Buaglic A's of phete €'s de incident phetens. (ity Afteso what dirme , phsts emission Steps 7 Fouaction ef Ggnt weceiveds by Ssphexe 1p) = Yxiol® isec nN © 6 = 16 = +E xio® [sec “iy NE = 10/sec (it Poe ke be Ap ne E.® = 2,eN A® = fu 12,m Eee (ill) Vo = 5-3N = 2 = ky OL q= 2x Bx 10% K Ne ek = Y t = Gy jou c 10 x|-G x10 5S] 459 -3 32 Xlo 5 xe X10 “4 x lo XN op x 2N 2) S <-08m— 0 ou= 8M a) a5 pores: = 285 2c] ie i iq 44.4. G8c: ) ) ) ( Spectnal Intensity Ko *KSemesth Pasck JS Continusus X -GOyS ® Peaks Cokxespends dO characte she K-Stays ay J Amin = Ac Emax (Cud- off wavelength) Ke, 2 tsxomsition fuem 4 te Kk Kp > Bmsition fusm ™ de dy, 2 txamsitien fuem M dB & B Kg phster cmoxe enexgetic than Ky pheten. @ FeaR ef Kyds mow than Ke ab me. of txamsitions Auer dite K us ouch mnexe dham thot fuem Miek abd Js Cheseu de K cham M JS, i.e. Me.e Ke phetens vs mmucty Ressee itham Ky phetens (as prabobivity oi K-shel being FMlec by am d-shell e@ us Aighe)- The, en Gk am X-scay pheters cammet be Greate than dhe ern exgu & ile eS. The A ) ) a a press emengetic. X-s.ay pheten Js Called, cut -of¥ Wanelemgth. (dt cowmespends te e& fesing all dts emecgy. dru a Single step, With out necking. ouk amy e) Qus) Find dhe. cut - enc C 5 Gpecting Se ae Be qnemey of Cechidge, ctube R= 30 Kev = A utes q Yur ogg = BO. x 10°41 x 103 x 1G x10" Hy 66) © GAG F-24 x 108 Hz Seay TUBE (COOMIDGE TFuBE) ay ed ——— || High. Vettage, | raked Oe S - waters ouT jremitter orate) . Rector JW Qua) Vepesatin = Q0KV ,L=0:5mA Find (me. Of @7 hitting dhe daxget per sec. (Cb) Enexgy- Foaling om the haseget per Sec. (c) Cut-off Wavelength. @) L=mne Med «= 0:5 x169 e be x 16% (6 E svi = 20x10°xo-5x lo? = lor © 2o0kev = Ae Acut aby Acute = 1242 . Garyidd 20 x10? Acut of = O-0621Mm™M ooer—raas MOSELEY’S sJAUr = on srt Shee 00 Ku Sequins se hapten *Z = atermic me. +a &baxe Constamts - 662 Que) A dissue paper Secked dn polluted woteu gives Ky Zines Coxnespending te 78pm, INGpm, I58pm.& |6Opm . Find dhe Lghtest pollutant. 4 = [3 dR (2-)/) A180 x10 15 = 25x io (@-18 [ given in que] ake 3x 108 x lo'® Igo x 10x25 (2-0% = 104 15 (z-19%% = 2000 3 ~ = 24 bal) Gut) L Arnissing. fuer Coolidge tube 25,50, 75,]00 pm. ams) 25pm because, Aad 5obemn missing. , 25 weuld alse Aane been TrISSING - Que) 50% X-suays axe able ts pass dhssugh, Imm him fem. of Neottage ef Coolidge dube , what will be effect on 7 o X-MOYS passing - Ans. 7 5o% Caen tN ee. T Acnin Vv mee ne. of €©'s wifl be able de Come oul K Had Intensity beers Ty, % would Aave beers 607/. insteacL of voltage. Que) Z= 11, Chanactesstc A (Aga) = A then 4a wild be for usruch elenmenit? w@(i-1) = t0N aa W @ (2-1) bby Sa= a (7Z-1) ee, *® Continuous X-Rays ane Rneuwr ad “Buehmstxahfung: Sf me. of steuking e's t ie Jf Cusant Js T Reaping Vsame, Intensity T. , LRADIOACTINITY [|— The Jerre by ushich, a. mucleor. attuacts ethey nucleery Js Cadhed, “muchos Fouce. dt is ao wear ce, for Large distances - Howevess y Streng— Ovesu oe ie ey | (BerENTIAL ENERGY DAGRAC | > -@-0- -©-©- . -©-©- 8 «(Ne Rato ) Bro vatati Lightes elernents , (N/Z) gatie Js clese det. Howeness , dru dhe Aeawieu muclet , (N/zZ) Gotic T . Ths Js because mMuclease KOCES AXE Sheek wage foxces ushile > elects Static sepulsion US a, Len sLamge Force . Addition ~\ Oxteoer meutkens 4 the, Size & mucteus , thus seducing the > sepulsiens amd making the nucleus mee Stable. dast stable uclwS JS g.Bi i > All dhe elements above 4,81 axe umstabl despite dhe addit. ; ca ™ eutsens. x The mass & amy nucleus us Less cham ithe Sum of dhe _ Masses of dts Cempenent mucleens. This diffexence Una .. shee