Mock Test -1 (Engineering Entrance)

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1 Mock Ts - (Enginring Enranc) Th following mock s bn prpard kping in mind all h mojor compiiv xams, ha is, AIEEE, AIPMT and IIT-JEE which nabls sudns o undrsand h mhodology us in various yps of qusions and hrby nhancing hir compiiv skills. Singl Corrc Choic Typ Each qusion has four choics,, and ou of which ONLY ONE is corrc.. Maxwll s modifid form of Ampr s circuial law is: B. ds= 0 B. dl= μ 0 i B. dq dl= μ0i + ε0 d B. d φe dl= μ0i + μ0ε0 d. In an L-R circui conncd o a bary h ra a which nrgy is sord in h inducor is plod agains im during h growh of rsuling curv? 5. A magn of magnic momn M and pol srngh m is dividd in wo qual pars, hn magnic momn of ach par will b M M/ M/4 M 6. A layrd lns as shown in h figur is mad of wo yps of ransparn marials indicad by diffrn shads. A poin objc is placd on is axis. Th objc will form Ra Ra Ra Tim Tim Ra Tim Tim 3. A bam wih wavlngh l falls on paralll rflcing plans wih sparaion d. Th angl q ha h bam should mak wih h plans so ha h bams rflcd from succssiv plans may inrfr consrucivly is (whr n =,, ): θ θ imag imags 3 imag 9 imags 7. An alpha nuclus of nrgy mv bombards a havy nuclar arg of charg Z. Thn h disanc of closs approach for h alpha nuclus will b proporional o /m /v 4 /Z v 8. Two qual ngaiv chargs q ar fixd a h poins (0, a) and (0, a) on h Y-axis. A posiiv charg Q is rlasd from rs a h poin (a, 0) on h X-axis. Th charg Q will Excu simpl harmonic moion abou h origin Mov o h origin and rmains a rs Mov o infiniy Excuiv oscillaory bu no simpl harmonic moion 9. Th variaion of inducd mf () wih h () in a coil, if a coil, if a shor bar magn is movd along is axis is axis wih a consan vlociy is bs rprsnd as follows d sin d sin d an d cos d 4. If h kinic nrgy of a fr lcron doubls, is d- Brogli wavlngh changs by a facor Physics Spcial mark Book _Mock Ts-.indd /7/0 :3:46 PM

2 Mock Ts - Enginring Enranc 0. In h nrgy band diagram of a marial as givn blow, h opn circls and filld circls dno hols and lcrons rspcivly. Th marial is a/an V/i V i E C Mal Insulaor E g E V p-yp smiconducor b-yp smiconducor. A sady currn I gos hrough a wir loop PQR having shap of a righ angl riangl wih PQ = 3x, PR = 4x and QR = 5x. If h magniud of h magnic fild a P du o μ0i his loop is k 48π x, find h valu of k Non of hs. Th valu of modulaion facor ( m a ) in cas of AM lis in h rang o + o 0 0 o 0 o Graph of forc pr uni lngh bwn wo long paralll currn carrying conducors and h disanc bwn hm is Sraigh lin Ellips Mulipl Corrc Choic Typ Parabola Rcangular hyprbola Each qusion has four choics,, and ou of which ONE OR Mor may b corrc. 4. If h firs minima in a Young s doubl sli xprimn occurs dircly in fron of on of h slis, (disanc bwn sli and scrn ) cm and disanc bwn slis d = 5 cm.) hn h wavlngh of h radiaion usd can b- cm 4 cm /3 cm 4/3 cm. 5. A singl lcron orbis a saionary nuclus of charg +Z whr Z is a consan and is h magniud of lcronic charg. I rlass 47. V nrgy if i coms from h hird orbi o scond orbi. [Us ionizaion nrgy of hydrogn aom = 3.6 V] Th valu of Z is 5 Th wavlngh of lcromagnic radiaion rquird o rmov h lcron from firs orbi o infiniy is narly 3653 pm Th radius of h firs orbi is 0.6 pm Th angular momnum of h lcron in firs orbi is Js - 6. Graph shows variaion of sourc mf V and currn i in a sris RLC circui, wih im To incras h ra a which nrgy is ransfrrd o h rsisiv load, L should b dcrasd To incras h ra a which nrgy is ransfrrd o h rsisiv load, C should b dcrasd Th circui is mor induciv han capaciiv Th currn lads h mf in h circui 7. Hols ar chargd carris in Inrinsic smiconducors p-yp smiconducors Ionic solids Mals 8. A ray OP of monochromaic ligh is incidn on h fac AB of prism ABCD nar vrx B a an incidn angl of 60 (s figur). If h rfraciv indx of h marial of h prism is 3, which of h following is (ar) corrc? O B P A Th ray gs oally inrnally rflcd a fac CD Th ray coms ou hrough fac AD Th angl bwn h incidn ray and h mrgn ray is 90 Th angl bwn h incidn ray and h mrgn ray is 0 9. g ray mission can ak plac afr following a -dcay b -dcay fission fusion 0. Phoolcric ffc suppor quanum naur of ligh bcaus Thr is minimum frquncy of ligh blow which no phoolcrons ar mid Elcric charg of phoolcrons is quanizd Th imum kinic nrgy of phoolcrons dpnds only on h frquncy of ligh and no on is innsiy Evn whn h mal surfac is fainly illuminad, h phoolcrons lav h surfac immdialy Assrion Rason Typ In h following s of qusions, wo samns Assrion and Rason ar givn. Choos h corrc answr from h following opions: Assrion and Rason ar ru and h Rason is h corrc xplanaion of h Assrion. C D Physics Spcial mark Book _Mock Ts-.indd /7/0 :3:47 PM

3 Mock Ts - Enginring Enranc 3 Assrion and Rason ar ru bu h Rason is no a corrc xplanaion of h Assrion. Assrion is ru bu h Rason is fals. Assrion and Rason boh ar fals.. Assrion: Th lcrical conduciviy of n-yp smiconducor is highr han ha of p-yp smiconducor a a givn mpraur and volag applid. Rason: Th mobiliy of lcron is highr han ha of hol.. Assrion: Dmodulaion is h rvrs procss of modulaion. Rason: Dmodulaion is prformd in h rcivr o rcovr h original modulaing signals. 3. Assrion: Balmr sris lis in h visibl rgion of lcromagnic spcrum. Rason: λ = R whr n = 3,4,5. n, 4. Assrion: Dnsiy of nuclons is approximaly h sam in all h nucli. Rason: Each nuclons in a nuclus inracs only wih a small numbr of nighboring nuclons. 5. Assrion: Thin films such as soap bubbl or a hin layr of oil on war show bauiful colours, whn illuminad by whi ligh. Rason: I happns du o h inrfrnc of ligh rflcd from h uppr surfac of h hin film. 6. Assrion: For an lcric lamp conncd in sris wih a variabl capacior and ac sourc, is brighnss incrass wih incras in capacianc. Rason: Capaciiv racanc dcrass wih incras in capacianc of capacior. 7. Assrion: Th sars winkl, whil h plans do no. Rason: Th sars ar much biggr in siz han h plans. 8. Assrion: A bam of ligh of frquncy μ is abl o mi phoolcrons from poassium mal bu i may no b abl o mi phoo lcrons from plainum mal. Rason: Th nrgy of h quana of ligh is grar han h work funcion of poassium bu lss han h work funcion of plainum. Linkd Comphrnsion Typ Paragraph for qusions 9, 30, 3, 3 and 33 whn wavs from wo cohrn sourcs, having ampliuds a and b suprimpos, h ampliud R of h rsulan wav is givn by R= a + b + ab cosφ whr f is h consan phas angl bwn h wo wavs. Th rsulan innsiy I is dircly proporional o h squar of h ampliud of h rsulan wav, i.., I R, i.., I (a + b + ab cos f) For consruciv inrfrnc, f = n p, I = (a + b) For dsruciv inrfrnc, f = ( n ) p I min = (a b) If I, I ar innsiis of ligh from wo slis of widhs ω and ω, hn I ω a = = I ω b Ligh wavs from wo cohrn sourcs of innsiy raio 8 : produc inrfrnc. Wih h hlp of h passag givn abov, choos h mos appropria alrnaiv for ach of h following qusions: 9. Th raio of ampliuds of wo sourcs is 9 : 8 : : 9 : Th raio of sli widhs of h wo sourcs is 9 : 8 : : 9 : 8 3. Th raio of ima and minima in h inrfrnc parn is 9 : 8 : 5 : 6 6 : 5 3. If wo slis in Young s doubl sli xprimn hav widh raio : 4, h raio of imum and minimum innsiy in h inrfrnc parn would b : 4 : 6 9 : 9 : Th raio of ampliuds of ligh wavs from wo sourcs is : 4 4 : : : Paragraph for qusions 34, 35 and 36 In a phoolcric sup, a poin sourc of ligh of powr W mis mononrgic phoons of nrgy; 5.0 V. Th sourc is locad a a disanc of 0.8 m from h cnr of a saionary mallic sphr of work funcion 3.0 V and of radius m. Th fficincy of phoo-lcron mission is on for vry 0 6 incidn phoons. Assum ha h sphr is isolad and iniially nural and ha phoolcrons ar insananously swp away afr mission. 34. Calcula h numbr of phoolcrons mid pr scond I is obsrvd ha phoolcron mission sops a a crain im afr h ligh sourc is swichd on. I is du o h rarding ponial dvlopd in mallic sphr du o lfovr posiiv chargs. Th sopping ponial (V ) can b rprsnd as KE KE Evalua im. KE KE Physics Spcial mark Book _Mock Ts-.indd 3 /7/0 :3:47 PM

4 4 Mock Ts - Enginring Enranc Paragraph for qusions 37, 38 and 39 Whnvr a radioaciv lmn X undrgos b dcay, daughr nuclus Y is formd in xcid sa, which on ransiion o normal sa rlass g radiaion according o racion. X Y E β + Y Y+ γ + E whr M x and M y ar h aomic masss of lmns X and Y rspcivly and m is h mass of b paricl. 37. Th mass dfc of h abov dcay is: m = M X M Y m m = M X M Y m m = M X M Y non of hs 38. In firs sp h nrgy rlasd E is: E = mc E < mc E > mc 39. In firs sp h nrgy rlasd E is: Non of hs In h form of kinic nrgy of daughr nuclus Y In h form of kinic nrgy of Y and b paricl Paragraph for qusions 40, 4 and 4 A currn of 4 A flows in a coil whn conncd o a V d.c. sourc. If h sam coil is conncd o V, 50 rad s a.c. sourc, a currn of.4 A flows in h circui. 40. Opposiion offrd o d.c. is 3 Ω Ω Ω 4 Ω 4. Inducanc in h circui is 0.0 H 0.08 H 0.8 H 0.36 H 4. Powr dvlopd if a 500 µf capacior is conncd in sris wih h coil is.9 W W 7 W 7.8 W Paragraph for qusions 43, 44 and 45 A currn loop ABCD is hld fixd on h plan of h papr as shown in h figur. Th arcs BC (radius = b) and DA (radius = a) of h loop ar joind by wo sraigh wirs AB and CD. A sady currn I is flowing in h loop. Angl mad by AB and CD a h origin O is 30. Anohr sraigh hin wir wih sady currn I flowing ou of h plan of h papr is kp a h origin. I O a A B 30 I b 43. Th magniud of h magnic fild (B) du o h loop ABCD a h origin (O) is μ Zro 0 I( b a) 4ab D C μ0i( b a) 4πab μ I 0 [( b a ) + π / 3 ( a+ b )] 4π 44. Du o h prsnc of h currn I a h origin Th forcs on AB and DC ar zro Th forcs on AD and BC ar zro Th magniud of h n forc on h loop is givn by II 0 b a 3 a b 4π μ [( ) + π / ( + )] Th magniud of h n forc on h loop is givn μ by 0 II 4ab ( b a) Marix Mach Typ 45. Characrisic X-rays (p) X-rays ub volag Coninuous X-rays (q) knock ou of lcron cu-off wavlngh (r) mosly s law X-rays producion (s) arg marial () invrs phoo lcric ffc 46. Mach h procsss in column I wih hir propris in Column II Nuclar fission (p) involvs wak nuclar forcs Nuclar fusion (q) involvs convrsion of mar ino nrgy b-dcay (r) aoms of highr aomic numbr ar usd 47. Exohrmic nuclar racion p-n juncion is forward biasd p-n juncion is rvrs biasd In n-p-n ransisor mir-bas juncion is forward biasd. In p-n-p ransisor collcor-bas juncion is rvrs biasd. (s) (p) (q) (r) (s) aoms of lowr aomic numbr ar usd low volag bary usd high volag bary is usd Th conducion across h juncion is du o lcrons. Th conducion across h juncion is du o hols. Physics Spcial mark Book _Mock Ts-.indd 4 /7/0 :3:47 PM

5 Mock Ts - Enginring Enranc Mach h Column I wih h Column II from h combinaion shown. In h lf sid (Column I) hr ar four diffrn condiions and in h righ sid (Column II), hr ar raios of ha producd in ach rsisanc for ach condiions: (I) (II) (III) (IV) Ingr Typ Two wirs of sam rsisanc ar conncd in sris and sam currn is passd hrough hm Two wirs of rsisanc R and R ohm ar conncd in sris and sam P.D. is applid across hm Two wirs of sam rsisanc ar conncd in paralll and sam currn is flowing hrough hm Two wirs of rsisancs in h raio : ar conncd in paralll and sam P.D. is applid across hm (A) : (B) 4 : (C) : (D) : 49. A drop of liquid is sprad ovr h hyponus of a righ angld isoscls prism as shown in Fig. 6(CF). and a ray of ligh is incidn normally on fac AB of h prism. If rfraciv indx of liquid is, inrnal rflcion o occur, rfraciv indx of marial of prism should b : B A 50. Ligh usd in a Young s doubl-sli xprimn consiss of wo wavlnghs 450 nm and 70 nm. In h inrfrnc parn, ighh imum of h firs coincids wih h n h imum of h scond. Wha is n? 5. Th a-dcay of Po 0 nucli (in ground sa a rs) is accompanid by mission of wo groups of alpha paricls wih kinic nrgis MV and 4.50 MV. Following h mission of hs paricls, h daughr nucli ar found in h ground sa and xcid sas. Find nrgy of gamma phoon mid by xcid nucli. Giv answr in KV. Mak h approximaion, Mass of daughr nuclid Mass numbr of daughr nuclid = Mass of α paricl Mass numbr of H nuclid 5. Th numbr dnsiy of donor aoms which hav o b addd o an inrinsic grmanium smiconducor o produc an n-yp smiconducor of conduciviy 5 ohm cm is a 0 5 cm 3. Givn ha h mobiliy of lcron in n-yp G is 3900 cm / Vs, Nglc h conribuion of hols o conduciviy. Wha is h ingr valu of a? 45 C (a, c) 5. (a, b, c, d) 6. (a, b, c, d) 7. (a, c) 8. (a, b, d) 9. (a, b, c, d) 0. (a, c, d) ((A) (q, r), (B) (), (C) (p), (D) (p, q, r, s, )) 46. ((A) q, r (B) q, s (C) p (D) q) 47. ((A-p, r, s ; B-q, r ; C-p, r ; D-p, s)) 48. () 49. () 50. (5) 5. (0 KV) 5. (8) Physics Spcial mark Book _Mock Ts-.indd 5 /7/0 :3:48 PM

6 Physics Spcial mark Book _Mock Ts-.indd 6 /7/0 :3:48 PM

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