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Series : XYW1Z Ey Fags (.. Celie! aed. ( ) aa. Code No. 55/1/1 ) ( Roll No. ( ) uderet set-aa wis wT sut-gfereat & ) ( Wee saa fore } ( ) Candidates must write the Q.P. Cade ) ( on the title page of the answer-book. ( ) ) UNM) ses fer cea) [| Ml PHYSICS (Theory) Freie wT: 3 Te HET FB: 70 Time allowed : 3 hours Maximum Marks : 70 © gasemdmamaigegssti | Please check that this question paper contains 23 printed pages. (I) paar ata ae ct ea wRA-Ta F 33 THE | Please check that this question paper contains 33 questions. (ILD) wea—aa Forfar arer ht atk feu 1e yeA-aa Sis Hl aera Set—-glerHT ch HE-Tss He AAG | Q.P. Code given on the right hand side of the question paper should be written on the title page of the answer-book by the candidate. CIV) Sve wer or See Pera Yo Se A ee, Sa gfe Hae ee wer wT sei TET | fer | Please write down the serial number of the question in the answer-book at the given place before attempting it. (V) sa yet-wa al aed & few 15 fae or ara fear rar 8 | eto er fae Gate F 10.15 at frat ATCT | 10.15 #4 S 10.30 FH aH Veanell hat wet-Ta Hl veil sik ga sal & ek Ft FR-GfereaT Oe HIS Se eT FST 15 minute time has been allotted to read this question paper. The question paper will be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the candidates will read the question paper only and will not write any answer on the answer-book during this period. | 55/1 Page 1 of 24 P.T.O. | a ~ art Re : Prafattad Peat at ergs aiee sik sre are Alfa : (i) Fa aRT-99 433 WaT | at Te that a | (ii) Fey -74 Ue Gel F epi e-— GS-w, G, 1, TANS | (iii) POS — HA TT TET 1 F 16 TH AGAHOTAT TOR HWE & | HIG TET 1 HH BT | (iv) GUS — @& F We GEM 17 B21 Te Blt Y-TAIT VOR B IPI S | MMH IPD sey wre | (v) Was — 17 F WRT BET 22 4 28 TH G-TH THR & TET eS | WI WET 2 sey wre | (vi) GIs — 7 FA 997 GET 29 TT 380 Ha weATT-STEIRG Ted S| Wed Ie A TET wre | (vii) Was — FF 397 GEN 31 4 33 TH Aes TER H TET S | Wed WET § aT are | (viii) 994-99 F aay Freer Te fea Ter 2 | Ta, GIs H alae HI GUS) He Tet F arate fener ear Trea & | (ix) era é he gBeantia Whenbeat & fre wae are 7eA- TF B | (x) Pepeier ar sre able 2 | c=3x 108 m/s h= 6.63 x 10-34 Js e=16x10-%C Hg = 41 x 107 Tm A! Eq = 8.854 x 10-12 C2 N71 m2 Fa 9 109 N m? C2 Ey gaat 1 FAM (m,) = 9.1 x 10-31 kg. RAM HI SAM = 1.675 x 10-2" ke. Weta HI FHA = 1.673 x 10-27 kg. FATS! FET = 6.023 x 1023 fe a AT sleesmim Frade = 1.38 x 10-23 JK-} | 5B/I/1 Page 2 of 24 | WSF anita 8 2) farg sade 8 aha area Reta wet (F) eT 5 & are rae ae aT 1 aet r @ Sa (G, ay) HR Gy, ag) % Sta yaa g | AAe gy TATE STMT gee aPC FIERA 8 TH q,, dy HK gy H TACT Fa WHR S fe : F (a). a) (y. dy) (A) dg< 43 <4) (B) 43< 4) <4 (CC) a, <42< 43 () dg< 4, < 43 VAMP IQ uA TAs ARs INP HM GTA a Q aH I I MT aM TS amet 2 | afe ak P ar sfede R &, ata Q ar wheel eh (A) R w) 2 © # (D) 2R Poet TR ST 1 cm TST HIS SVS x-HeA H AON Tal S TA +x ers safe ga A IAT 0.5 A varia a 2 | ge vee A Reet geri Sa B= 0.4 mT} + O06 mH kA SPAT Fre TAS | FA IR GS WENT Tero — (A) (2) + 3k) mN (B) (3) + 2k) uN (C) (6) +48) mN (D) (4) + 6k) uN feet grec 4 100 StS, Brat yes HI Baa 0.05 m2 3 aT HAT Ht Whe 1.5 Q2 | ga Rusch wr eet aK 90 mT & Grahla Sa F gah He Hl Aah GARR Tad BE aT TAS | Set aor ga Horsch F Ika sas 8 - (A) 3.0mC (B) 0.30 C (C) 0.45 C (D) 15C STF 0.016 H tact FH 0.81 m wat SK 0.02 m Brean At arg & 8 ofenferear AT after ach 3 | ga afcrftter Tet A der et afer (A) 2592 (B) 2866 (C) 2976 (D) 3140 | 5B/I/1 Page 4 of 24 SECTION -A 1. Figure shows variation of Coulomb force (F) acting between two point wy 1 . . charges with =3, yr being the separation between the two charges (q, 49) and (qg, q3). If gg is positive and least in magnitude, then the magnitudes of q,, dg and qg are such that 1 (q,,4,) (yd) (A) a9< 493 <4) (B) q3<4, <4, () a, <42< 43 () dg< 4, < 43 2. Two wires P and Q are made of the same material. The wire Q has twice the diameter and half the length as that of wire P. If the resistance of wire P is R, the resistance of the wire Q will be 1 R (A) R ®) 9 © # (D) 2R 3. A 1cm segment of a wire lying along x-axis carries current of 0.5 A along > +x direction. A magnetic field B = (0.4 mT) ; + (0.6 mT) fis switched on, in the region. The force acting on the segment is 1 (A) (2) + 3k) mN (B) (3) + 2k) uN (C) (6) + 4k) mN (D) (4) + 6k) uN 4. Acoil has 100 turns, each of area 0.05 m? and total resistance 1.5 Q. It is inserted at an instant in a magnetic field of 90 mT, with its axis parallel to the field. The charge induced in the coil at that instant is : 1 (A) 3.0mC (B) 0.30 C (C) 0.45 C (D) 1.5C 5. You are required to design an air-filled solenoid of inductance 0.016 H having a length 0.81 m and radius 0.02 m. The number of turns in the solenoid should be 1 (A) 2592 (B) 2866 (C) 2976 (D) 3140 | 5B/I/1 Page 5 of 24 P.T.O. | © BB A voltage v = vg sin wt applied to a circuit drives a current i = ig sin (at + 6) in the circuit. The average power consumed in the circuit over a cycle is 1 (A) Zero (B) ig vg cos > ig V ig V © “> (D) “zr cos 6 7. The given diagram exhibits the relationship between the wavelength of the electromagnetic waves and the energy of photon associated with them. The three points P, Q and R marked on the diagram may correspond respectively to : 1 Energy’ Q A Wavelength (A) X-rays, microwaves, UV radiation (B) X-rays, UV radiation, microwaves (C) UV radiation, microwaves, X-rays (D) Microwaves, UV radiation, X-rays 8. Abeaker is filled with water (refractive index 3 upto a height H. A coin is placed at its bottom. The depth of the coin, when viewed along the near normal direction, will be 1 H 3H A) | ®B) 4H (C) H () “3° 9. The stopping potential Vj measured in a photoelectric experiment for a metal surface is plotted against frequency v of the incident radiation. Let m be the slope of the straight line so obtained. Then the value of charge of an electron is given by (h is the Planck’s constant.) 1 m (A) mh (B) h h 1 © a ©) oh | 5B/I/1 Page 7 of 24 P.T.O. | igh BE anaes far fn ei shh a et i FA: 2, hy TA Ag @ | Ts HA TICE & Ste Bel Baas — (A) Ng > Ay > Ae (B) he > hy > Aq (C) A> A> Aa (D) 2, =%) =a 11. 4 aren Se I Ske RTA Ge & Her wT F Seal whe ~aleerata aH Lael replat ar Pea are eS 2 A ! A H a) | ® Lo es 56 36 BE TANG BE. A ! A H © ©) ! A Lis 80 80 12. Faas p-n a ees sales safe daz at (A) Oren Sarg ait eel eK A Slee eet A ale eich 2 | (B) After ht Sarg Ff ofy cen wret SK SH heey Het ate SI (C) Oftreer ht Sarg sik ore eee At Shears VHT A ee SA | (D) Aftrepr ft Sarg Ff ert cer wre aR At Shery A gfe atch S 1 We: ye Ger 13 4 16 8 a sem fer me S — UH HT aif (A) TAT GM HY SIT (R) dact frat Tas | SA VAT & Gal Seal wr AA feu ws (A), (B), (C) 3k (D) Fa ae ifr : (A) sifted (A) Stk RT (R) SAT Ges S SK HIT (R), BHA (A) Ht aa SST? | (B) aiftrne (A) tk ret (R) SA Ger S, WE SRT (R), Heme (A) Ht at CAST FATS | (C) siftrer (A) Fear 2, FI HT (R) HATS | (D) aiftreert (A) ik sor (R) Sri al sre | 13. Sfreet (A) : wa alg oiftre tat ht der areht Hoech a aha sq ar, at sah SRA Bit Reet Grae Bl AT Her wHiSA Sta z | SRT (R) =: yam At fa & Heo quech freer ahow ae 8, A Hh oe A fe ATOR Set 8 fi ae Grae Ht fet ar fees Hes | | 5B/I/1 Page 8 of 24 14. 15. 16. 17. 18. 19. 20. aiftmet (A) : Pret tedster A fadoo saa werfed are sarah Stes | wR (R) : feet tedaher st quecil wae fase grachta da 4 frcifera alc e | afteua (A) : 4 fet p-wek & ata & feet eta at feet nse & aefarers & Pret eta & viften wa S sitet feat p-n Ge seis AT Tr ral eA E | RT (R) : Reet power & seers Foy, >> m, Bet 2 Tak n-wHR & wearers Fm, >> 7, BM | aiteer (A) : eggh way # fret fx ser A afswao acd feet gctacia At feats sat eer Set 2 | Ro (R) —: fet areata wor ht Ger Gall dea Sh ares Aca | we-u arifer wfete at emf ‘EB’ At wg Set fnet are Pate a satire 3 | we seth a 2A Unt of ard 2 at -Praare & fat oe fava SV ela @ | 4A ore feu a Re Pavan 4V al Aa @ | EH’ alk ‘vy & A aftenfera Ai | (a) faada & feet var & fo Sl 600 nm aereet & vere ert wete Pear ware | ferach ted or vee fers 6 = 30° R FST 8 | BA heey afefera AAC | WUT (b) ar & fret falar set HS vente ae, fart wees ot tera I, 8, 96 ge fag eaten aoe & rer we werre § 8 1 ge fey we aa eR iE caf de eae (Oren Fy arg Rr 1 eet a ors ata pls THT feat SINE F qMie SEN Bs YS ch safe THA Hat S | HT 0’ aftHfera BIRT I fog Hifae f ces TAT & aK Bisa F nat Hen A afer aed fleet geal wT aradare n3 & sqft St B | | 5B/I/1 Page 10 of 24 i; aa ~ 14. Assertion (A) : The deflection in a _ galvanometer is directly proportional to the current passing through it. 1 Reason (R) =: The coil of a galvanometer is suspended in a uniform radial magnetic field. 15. Assertion (A) : We cannot form a p-n junction diode by taking a slab of a p-type semiconductor and physically joining it to another slab of a n-type semiconductor. 1 Reason (R) =: In a p-type semiconductor 7, >> m, while in a n-type semiconductor 7, >> 1. 16. Assertion (A) : The potential energy of an electron revolving in any stationary orbit in a hydrogen atom is positive. 1 Reason (R) : The total energy of a charged particle is always positive. SECTION -B 17. A battery of emf E and internal resistance r is connected to a rheostat. When a current of 2A is dawn from the battery, the potential difference across the rheostat is 5V. The potential difference becomes 4V when a current of 4A is drawn from the battery. Calculate the value of E and r. 2 18. (a) In a diffraction experiment, the slit is illuminated by light of wavelength 600 nm. The first minimum of the pattern falls at 0 = 30°. Calculate the width of the slit. 2 OR (b) In a Young’s double-slit experiment, two light waves, each of intensity I,, interfere at a point, having a path difference ® on the screen. Find the intensity at this point. 19. A transparent solid cylindrical rod (refractive index ‘75 ) is kept in air. A ray of light incident on its face travels along the surface of the rod, as shown in figure. Calculate the angle 0. 2 20. Prove that, in Bohr model of hydrogen atom, the time period of revolution of an electron in nt} orbit is proportional to n3. 2 | 5B/I/1 Page 11 of 24 P.T.O. | Be v 21. A p-type Si semiconductor is made by doping an average of one dopant atom per 5 x 107 silicon atoms. If the number density of silicon atoms in the specimen is 5 x 1028 atoms m~%, find the number of holes created per cubic centimetre in the specimen due to doping. Also give one example of such dopants. 2 SECTION - C 22. (a) Two batteries of emfs 3V & 6V and internal resistances 0.2Q & 0.492 are connected in parallel. This combination is connected to a 4 Q resistor. Find : 3 (i) the equivalent emf of the combination (ii) the equivalent internal resistance of the combination (iii) the current drawn from the combination OR (b) @ Aconductor of length J is connected across an ideal cell of emf E. Keeping the cell connected, the length of the conductor is increased to 21 by gradually stretching it. If R and R’ are initial and final values of resistance and v, and vq’ are initial and final values of drift velocity, find the relation between (i) R’ and R and (ii) vq’ and vq. (i) When electrons drift in a conductor from lower to higher potential, does it mean that all the ‘free electrons’ of the conductor are moving in the same direction ? > 23. Using Biot-Savart law, derive expression for the magnetic field (B) due to a circular current carrying loop at a point on its axis and hence at its centre. 3 24. (a) Show that the energy required to build up the current I in a coil of 1 inductance L is 2 LP. 3 (b) Considering the case of magnetic field produced by air-filled current carrying solenoid, show that the magnetic energy density of a B2 magnetic field Bis 5. gnetic fi i ug 25. (a) A parallel plate capacitor is charged by an ac source. Show that the sum of conduction current (1,) and the displacement current (Ij) has the same value at all points of the circuit. 3 (b) In case (a) above, is Kirchhoff’s first rule Gunction rule) valid at each plate of the capacitor ? Explain. | 5B/I/1 Page 13 of 24 P.T.O. | igh 0] 26. 27. 28. 29. RU afta Prafefad & sat AR : (a) feet ong} ys & Gael rene & arated eA we ae Glegcaeit aM Af Sot & Preprftra vat de S | (b) WHC (a) F fafir disenait & fare age ort fr ace | (Cafe daa at aa wad ge feet og & ys we srafta were cht aeneed F fy aed SIE ah wletgctastat ar fae Pia aereet WR Se TT & YB G SHS Beh TAT | (a) Reet aires At geram afer’ stk ‘ae Sal’ AY afore feta | seq Sat whe aafeaia & aren uy ‘feravea oe’ apr aoa Ate | (>) fret eaeata & wer theta ait wh Agia 3 dT Sas FOIA 2.013553 ud | aH fea Sem exfet u Hae geht Sal Gea MeV F afeafera Fife | (m, = 1.007277 u; m, = 1.008665 u, lu = 931.5 MeV/c?) (a) feet p-n aft sets & V-I arenas or Hera He & fee show ae iar | (>) faeft crits & aiftrenarftrest Ht arepfe exist | () Haters a a et Gaare srreal we Sl Gendt 8 Src sects HIRT | wea et GST 29 aa 30 Ha-Ha srenita wea S | Pt Rost | eS cen Are feu ae WETS Fa | & ~— | — sit _—_ faa i aaiq7e ante, fA RC Huh afer wea &, 3 Pet ahaa Hag dena C, siete R ar wfeaesn ae emf V I HE areal debt Gafia 8 | (S, HI GEM Tad eW Fah S, rae RT TRIS WT St eT B ae GT Saha Ft Sait Sik Sekt cre & sta sae sr Wars ST al re S| eR A srreter F af Vt 8 ahora Genfer & feet a fesrara V, © aC) 8 are are gfe Vth S | Se ae fara Batt & Pei she fears se aan, at centr qeintor srefire a stat @ (Q = VC) | 3a rea wiser At safer Pata & area gq Fara & ay afta Slat 8 fra ga We Prafte feat ara 8 — q=Q[1- eR aH ise aH Ta TET (e™) = me™ Sl STG che ATA ART MTT AL ST SHAS | Ta vec ot fran Aifire fora R = 20 kQ, C = 500 pF wat V=10V | 5B/I/1 Page 14 of 24 3 3 {4£ 4x1=4 @ Wass S, F< we S, Eel 3 aa Gerha HR sifes sree 3 — (A) 5ype (B) 5mC (C) 25 mC (D) 0.10 Gi) Tate ara & fee poll S, ae ae S, Eel tact 3 | Ha S, Sl ee TMS, HI Get fear mars | seria we sites sae FATS ? A (B) 5mC (C) 2.5mC (D) 5uC Gii) RC ® far feta ga 8 - (A) [ML?T?3 A~] (B) [M°L° Ta} (C) [M1 L-? 14 A (D) [M°L° TA‘ (Gv) StS, qa S, Bells | 5 Gaus & ayaa wiles verfed aT es (A) em (B) Ve mA (C) Jems (D) spmA aarat Gv) Ssh S, Fae S, Gels | fetes F sree are apr ses Ae (A) 5mA (B) 0.5mA (C) 2mA (D) 1mA 30. Um Goer ca at gst a feet tar ores series ater diet 8 fear HAS HA UH YE waa St Ties Sar aee | wet Tete ys s fee wfafers as ch fee Ga Hr HqTANT wi feat a gst & frre ot aeften Bo S eh cael cial & fore cia Het Ba aT sa WRIT CA GA MTG Be Ge & | feel cla & et plea ferg ele @ firs “ses plea far-g” cen ‘fecta wiee ferg’ ped & Sit gat Ue cis Uh AR ae Ge cia & cael sk Sta al 4x1=4 di) Screen Plate on Hidden Side of Box Light Box with Plate | 5B/I/1 Page 16 of 24 : (i) The final charge on the capacitor, when key S, is closed and S, is open, is (A) 5ype (B) 5mC (C) 25mC (D) 0.1C Gi) For sufficient time the key S, is closed and S, is open. Now key S, is closed and S, is open. What is the final charge on the capacitor ? (A) Zero (B) 5mC (C) 2.5 mC (D) 5pC (iii) The dimensional formula for RC is (A) [ML?2T3 A] (B) [M°L°T! A} (C) [M?L? T4 A?] (D) [M°L° TA) (iv) The key S, is closed and S, is open. The value of current in the resistor after 5 seconds, is 1 (A) ae™ (B) Ve mA (C) Jems (D) spmA OR (iv) The key S, is closed and S, is open. The initial value of charging current in the resistor, is (A) 5mA (B) 0.5 mA (C) 2mA (D) 1mA 30. A thin lens is a transparent optical medium bounded by two surfaces, at least one of which should be spherical. Applying the formula for image formation by a single spherical surface successively at the two surfaces of a lens, one can obtain the ‘lens maker formula’ and then the ‘lens formula’. A lens has two foci — called ‘first focal point’ and ‘second focal point’ of the lens, one on each side. 4x1=4 i) Sercen Convex Lens Plate on Hidden Side of Box Light Box with Plate | 5B/I/1 Page 17 of 24 P.T.O. | Consider the arrangement shown in figure. A black vertical arrow and a horizontal thick line with a ball are painted on a glass plate. It serves as the object. When the plate is illuminated, its real image is formed on the screen. Which of the following correctly represents the image formed on the screen ? (A) ®) (C) @) (i) Which of the following statements is incorrect ? (A) For a convex mirror magnification is always negative. (B) For all virtual images formed by a mirror magnification is positive. (C) Fora concave lens magnification is always positive. (D) For real and inverted images, magnification is always negative. (ii) A convex lens of focal length ‘f’ is cut into two equal parts perpendicular to the principal axis. The focal length of each part will be: (A) f (B) 2f f f © 93 @) 4 OR (iii) If an object in case (i) above is 20 cm from the lens and the screen is 50 cm away from the object, the focal length of the lens used is (A) 10cm (B) 12cm (C) 16cm (D) 20cm (iv) The distance of an object from first focal point of a biconvex lens is X, and distance of the image from second focal point is X,. The focal length of the lens is (A) X,X, (B) ./X, +X, X, (C) ~/X, Xe @) xX | 5B/I/1 Page 19 of 24 P.T.O. | 31. (a) (b) | 5B/I/1 @ Gi) @ Gi) Ws -Ss 5 uC HR -1 uC & at ferg aide ae: (3 cm, 0, 0) 34K (3 cm, 0, 0) fags we fea #1 an a fat are Bee Ga = 4 Pat oe fran rat 2, set A= 3 x 10° Vm 2 | a frga Sa & or Rar A fen fara oat 4 ofada ofenfera fifa | ary 4 fer at arerat & felt Pears we Ae Brag + 80nC TMT — 80uC 8 ST are ota 16V 1 Ma SIA HUTS | (1) Repreraht enftar ara aif | (2) afe denis tary & ear we yTagas 3 ar als wesea Area oR fee We a at aretal & sta festaen ga ST? (3) afe $4 areal OK regi ar ahaa He + 160 wC sik — 160 pC pt fear sre at ear Prenat At efter Ff ang aftada St 2 saa eR fee ror Sif | aaa dia ta enferes nicia Gia A, Bik Cu fear aifire frat sete Ht eT RZ | sete Gla F fsa R/10 Ht Sa eg I ie S| se ich Geil Ht PA: +6q,—4q TAT 14q sat feet at @ | sae afta At tet cpt oft sae: -2q, +8q SK -10q stem feu Tes | Ft Geil A, BK CH Sai a 3R gta Giel & area ser forge Bat Ht ger HITT | ane F quig agar 5 cm fen & feet sign & Gz Bw a -— 6 uC ara fia | ferg BA 10 cm atte fara feeg D RE Sea GRA A aa aed feria sree fara 8 | ga stig Ft aft & srafesr Hig +5 pC START ferg C8 ferg Aa are maT | ares a eat Ten ape aPeHferd Ai | +6q -6q D Cc B A Page 20 of 24 
