UGC POINT ACADEMY LEADING INSTITUE FOR CSIR-JRF/NET, GATE & JAM. Full-Length # 1. Instructions

Transcription

1 UGC OINT ACADEMY LEADING INSTITUE FOR CSIR-JRF/NET, GATE & JAM BOOKLET CODE A Date: 7//05 HYSICAL SCIENCE TEST SEREIS # 6 Full-Legth # SUBJECT CODE 05 Tmg: 3:00 H Maxmum Marks: 00 Istructos. Ths test paper has a total of 75 questos carryg 00 marks. The etre questo paper s dvded two sectos, A,B ad C. All sectos are compulsory. Questo each secto are dfferet type.. Read the Questos carefully ad mark your approprate respose to the OMR sheet. 3. There s Negatve markg of /4 th for each wrog aswer. 4. Mark the respose by Black or Blue Ball e oly. 5. Ay other beloggs lke Book/ Notes / Electroc devce etc are ot permtted the examato hall. 6. Submt your aswer sheet (OMR Sheet) to the vglator before leavg the examato hall. 7-G ND FLOOR, JIA SARAI, NEAR IIT, NEW DELHI- 006 Tel: , Mobs: ,

2 ART-A. Mr. ad Mrs. Aye ad Mr. ad Mrs. Bee completed a chess touramet of the 3games played- () I oly the I st game the two players were marred to each other. () The me wo games ad the wome wo oe game () The Ayes wo more games tha the Bees. (v) Ayoe who lost game dd ot play the subsequet game. Who dd ot lose a game? (a) Mrs. Bee (b) Mr. Bee (c) Mrs. Aye (d) Mr. Aye Drectos: - The Boss asked Jak to go ad buy three dfferet types of ball pots pe. The frst type costs Rs each, the secod type Rs each ad the thrd type Rs each. However the boss gave Jak oly Rs. 00 wth the strct structos to buy exactly 00 pes, ay combato for that amout.. Whch of the followg s true about the umber of pes that Jak ca buy (a) The umber of pes of frst type s the smallest (b) The umber of pes of secod type s the smallest (c) The umber of pes of thrd type s smallest (d) The umber of pes of the secod type s largest 3. The total cost of the frst type of pes Jak should buy- (a) Is less tha Rs. 40 (b) Is more tha Rs. 40 but less tha Rs. 50 (c) Is exactly Rs.50 (d) Is exactly Rs If the square of a dgt umber EB s MB ad gve that M, E, ad B are all dstct umbers, how may possble values ca take? (a) (b) (c) 3 (d) 4 5. The four Neghborg famles at the KR apartmet complex were o a ckc. There were 8 chldre cosstg of four brother-sster pars. The four boys were A, B, C ad D ad the grls were E, F G ad H. They were 3 apples all to be dstrbuted so that E, F, G ad H got respectvely,, 3 ad 4 apples. The reamg apples were dstrbuted such a maer that A took as may apples as hs sster dd, C took three tmes as may as hs sster got ad D took oe tmes as may as hs sster (a) E (b) F (c) G (d) Caot be determed 6. A ma returs after shootg ad catchg brds hs bag. He was asked how may brds he had sx. The o of brds he had all were- (a) 8 (b) 36 (c) 9 (d) 7 7. There are 656 bags of rce lookg alke, 6560 of whch have equal weght ad oe s slghtly heaver. The weghtg Balace the mmum o of weghg requred to detfy the heaver bag s- (a) 380 (b) (c) 8 (d) 9 8. A automoble plat cotracted to buy shock absorbers from supplers X ad Y, X supples 60% ad Y supples 40% of the shock abjorbes. All shock abjorbers are subjected to a qualty test. The shock abjorbes 7% are relable. The probablty that a radomly chose shock absorber. Whch s fouded to be relable s made by Y s- (a) 0.88 (b) (c) (d) G ND FLOOR, JIA SARAI, NEAR IIT, NEW DELHI- 006 Tel: , Mobs: ,

3 9. (a) 54 (b) 7 (c) 7 (d) How may squares are gve fgures- (a) 50 (b) 40 (c) 60 (d) 55. Three freds Rajeev, Sajeev ad Tasee shared mago from a basket they all wet to asleep. After some tme Rajeev wake up, took /3 rd of total magoes but retured four to the basket ad slept. After some tme Sajeev wake up ad took /4 th of what was left ad retured 3magoes to the basket. After some tme Tasee took half of the remader but retured back the basket. If the basket had 7 magoes left, how may magoes were orgally there the Basket- (a) 38 (b) 3 (c) 48 (d) 4. Fd the wrog term of gve seres- 5, 9, 69, 6, 033 (a) 033 (b) 5 (c) 6 (d) 9 3. There are K baskets ad balls. The balls are put to the baskets radomly. If K <, the whch of the followg s true- (a) There s o empty Basket (b) There are exactly (-K) Baskets wth at least oe ball (c) There s at least oe basket wth two or more balls (d) There are (-K) baskets wth exactly two balls 4. A sphere of radus 4c.m. s curved from a homogeeous sphere of radus 8c.m. ad mass 60 gram. The mass of the smaller sphere s- (a) 80 (b) 60 (c) 40 (d) 0 5. At 4 hours how may tmes hads of watch make a rght agle- (a) 4 (b) (c) 44 (d) The caledar for 996 s the same for- (a) 003 (b) 0 (c) 00 (d) If there are perso b/w A ad B, 7 seve perso b/w B ad C, 4 perso b/w C ad D, ad 5 perso b/w D a E, How may mmum perso are requred for ths arragemet- (a) 4 (b) 6 (c) 33 (d) 5 7-G ND FLOOR, JIA SARAI, NEAR IIT, NEW DELHI- 006 Tel: , Mobs: ,

4 8. Whch of the posto caot be a stadard Dce- 9. Oe term I st seres are wrog. Determe t ad the gve your aswer accordg to I st seres- I II- (a) (b) (c) (d) (e) (f) What wll come place of (f)- (a) 49 (b) 4 (c) 75 (d) Fd the odd Alphabet- A E I O (a) A (b) I (c) E (d) O 7-G ND FLOOR, JIA SARAI, NEAR IIT, NEW DELHI- 006 Tel: , Mobs: ,

5 ART-B. A sprg mass system has udamped atural agular frequecy 0 00 / sec. The soluto at crtcal dampg s gve by 0 maxmum dampg force at tme () where costat. The system experece the. Ferm eergy of a certa metal s 5eV. A secod metal has a electro desty whch s 6% 3. hgher tha that of mass. Assumg that the free electro theory s vald for both the metals, the Ferm eergy of s closest to 5.6 ev () 5. ev 4.8 ev 4.4 ev x y The matrx equato above represet A crcle of radus () A ellpse of sem major axs s 5 A ellpse of sem major axs 5 A hyperbola B 4. The le tegral F. dl where fgure () 0 A alog the semcrcular path as show y 4 A (,0) O B (,0) x 5. A parallel plate ar gap capactor s made up of two plate of area 0 cm each kept of dstace of 0.88mm. A se wave ampltude of 0 V ad frequecy 50Hz s appled across the capactor as show fgure. The ampltude of dsplacemet curret desty ( ma / m ) betwee the plate closest to () Lght descrbed by equato s cdet o metal surface. The work fucto of metal s.0 ev maxmum KE of the photo electro wll be.4 ev () 4.8 ev 6.8 ev.56 ev 7. m potetal well gve by 0 for 0 x a V x for x 0 & x a The eergy of lowest eergy of system s ma () 7-G ND FLOOR, JIA SARAI, NEAR IIT, NEW DELHI- 006 Tel: , Mobs: ,

6 8. The equato of surface of revoluto s. The ut ormal to surface at pot 3,0, 3 k () k k j 9. A partcle of mass m s cofed two dmeso fte square well potetal of sde a. The eergy of partcle a gve state s. The state s 4 fold degeerate () 3 fold degeerate fold degeerate o degeerate s radoactve ucle of half lfe l 0 sec. The actvty of 0gm of 60 7Co dstegrato per secod s (molar mass 58.93U) () At a gve pot space, the total lght wave s composed of three phasors. The testy of lght at ths pot s () 4 a cos 4a cos 3. A eutro of mass s movg sde a ucleous. Assume the ucleous s to be cubcal box of 4 sze 0 m wth mpeetrable walls. Take 34 0 J sec & MeV 3 0 J. The eergy of eutro (MeV) are.5 () Sea water at frequecy v 4 0 Hz has permttvty 8 0, permttvty 0 & resstvty. What s rato of coducto curret to dsplacemet curret? [Cosder a parallel plate capactor mmersed water drver by voltage ].4 () A square loop of curve of sde of legth a les the frst quadrat of xy plae wth oe corer at 3 org ths rego, there s o uform tme depedet magetc feld. The duced emf s? () 35. The prcpal value of () (3 36. Evaluate, where S s arc legth & () 0 7-G ND FLOOR, JIA SARAI, NEAR IIT, NEW DELHI- 006 Tel: , Mobs: ,

7 37. aroud a rectagle whose vertces are, () The value of where s hermt poly. 8 () Fd the equato of plae whch s tagetally to the surface at gve pot () 40. The Hall coeffcet of sodum whch has bcc structure havg sde equal to 0.48 m s m c () m c m c.55 0 m c 4. The packg effcecy of NaCl s Gve, radus of Radus of Atomc mass of Na =.99 amu Atomc mass of Cl = amu 60% () 6.8% 66.3% 70% 4. I KCl structure, whch peak s ot possble 400 () At Neel temperature ermeablty s maxmum () permeablty s mmum Susceptblty s mmum susceptblty s maxmum 44. The chemcal potetal of deal Bose gas at ay temperature s Nessessarty egatve () Nesessarty postve Ether zero or egatve Ether zero or postve 45. A photo of wavelegth s cdet o a free electro at rest ad s scattered backward drecto. The fractoal shft ts wavelegth t term of Compto wavelegth of the electro s () c 3 c c 3 ART-C 46. Isothermal compressblty K T of substace s defed as K deal gas wll be () T V V T. It value for mole of a 7-G ND FLOOR, JIA SARAI, NEAR IIT, NEW DELHI- 006 Tel: , Mobs: ,

8 47. Whe the temperature of a black body s doubled, the maxmum value of ts spectral eergy desty wth respect to tal temperature would become /6 tmes () 8 tmes 6 tmes 3 tmes 48. Cosder a doped semcoductor havg the electro ad hole mobltes respectvely. Its 49. trsc carrer desty s gve temperature. The hole cocetrato p for whch the coductvty s mmum at () We dsplacemet law () Krchoff law 50. As temperature s creases the tme perod of pedulum s Icreases proportoalty wth temperature () Icreases Decrease Rema costat 5. The value of s 0 () m 5. If scatterg ampltude, the Total s () 4 b a 3 Noe 53. Fve fermo put a -D box wth potetal eergy 0 0 x a V x otherwse The secod excted state eergy s () 54. If A 0 the fd the value of trace () 55. Assume the amplfer s ulled at 5 o C. A se wave of 0 mv peak ampltude at 00Hz s appled. The error voltage at 45 o C s V0S T I0S T 30 0A/ C 4.36 mv () 4.3 mv 3.3 mv 3.3 Volt 7-G ND FLOOR, JIA SARAI, NEAR IIT, NEW DELHI- 006 Tel: , Mobs: ,

9 56. The trasfer characterstc of ths crcut 57. I the crcut show, the voltage at test pot s V& the voltage betwee gate & source s. The value of R K s 4 () I a AC crcut the put voltage ad curret respectvely gve by the expresso What s average power cosumed the crcut? 00 W () 70 W 00 W 35 W 59. For groud state of hydroge atom, whch opto s correct ( s bohr radus) 0 0 () G ND FLOOR, JIA SARAI, NEAR IIT, NEW DELHI- 006 Tel: , Mobs: ,

10 60. The followg process are used for coolg Adabatc expaso () Adabatc demagetsato Joule Thomso effect Evaporato The correct sequece of these process order of ther ablty to produce lower ad lower temperature s 4,,, 3 () 4,, 3, (), 4,, 3, 4, 3, 6. How do the coeffcet of vscosty ad coeffcet of thermal coductvty of gas deped o absolute temperature T respectvely / /4 / / T & T () T & T / / T & T T & T 6. The th Broull zoe cosst a set of pot out that ca be reached from the org by crossg - () (- bragg plae 63. Whch oe of followg dstegrato seres of heavy elemets wll gve 09 B at a stable ucleous Thorum seres () Nepteum Seres Uraum Seres Actum Seres 64. Cosder a 3-D harmoc oscllator where,, 3 0,,. Fd the temperature at whch of 9 eergy level s equal to 7 eergy level () k l 4 / 3 k l 5 / Cosder a esemble of mcroscopc qt. mechacal system E & E where E E. Whch of the followg graph wll best descrbe the temperature depedece of average eergy of system 66. The groud state of 07 8 ucleas has sp party whle the frst excted state has. The electromagetc radato whe ucleous makes trasto from frst excted state to the groud state E & E () M & E 3 E & M 3 M & M 3 7-G ND FLOOR, JIA SARAI, NEAR IIT, NEW DELHI- 006 Tel: , Mobs: ,

11 67. The ormalzed form of s () 68. The electrc potetal eergy due to electrc repulso betwee two ucle of whe they each other at surface s 0. MeV () 8. MeV 8 KeV 8. KeV 69. Fg shows the testy-wavelegth relato of X-ray tube comg from two dfferet Cooldge tube. The sold curve represet the relato for tube A whch the potetal dfferece betwee the target ad flamet s V A atomc umber of target s Z A. These quatty are V B ad Z B for other tube the, V A > V B, Z A > Z B () V A > V B, Z A < Z B V A < V B, Z A > Z B V A < V B, Z A < Z B 70. The magetc momet of 33 6 S ut of uclear mageto s.46 () A soleod of ductace 50mH & resstace s coected to battery 6V. The tme elapsed before the curret acqure half of ts steady value 3.0 ms () 3.5 ms 4.0 ms 4.5 ms 7. At tme the wave fucto for hydroge atom s The expectato value for eergy of ths system s () 73. If are Drac matrces the whch of the relato s true x x y z () x x y z () x x y y x x y y 74. A mass m, move crcular orbt of radus uder the fluece of cetral force whose potetal s k. The codto for crcular orbt at stable codto s r () 75. The base of 7 8m 38 s whe =6 () =4 = 3 = 64 7-G ND FLOOR, JIA SARAI, NEAR IIT, NEW DELHI- 006 Tel: , Mobs: ,