Prerna Tower, Road No 2, Contractors Area, Bistupur, Jamshedpur , Tel (0657) , PART A PHYSICS

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1 Pena Towe, oad No, Conacos Aea, isupu, Jamshedpu 83, Tel (657)89, AIEEE PAT A PHYSICS Physics. Two elecic bulbs maked 5 W V and W V ae conneced in seies o a 44 V supply. () W () 5 W (3) neihe (4) boh. () ( ) ( ) 5 i ( ) ( ) P. 64 W > 5 W 5 ulb of 5 W V will fuse ( ). 5 P. 6 W. A boy can how a sone up o a maximum heigh of m. The maximum hoizonal disance ha he boy can how he same sone up o will be : () m () m (3) m (4) m. (3) u.. u V A u sin g ( 45 ) m u AIEEE (9 Ap ) Quesion & Soluions www. penaclasses.com

2 3. Tuh able fo sysem of fou NAND gaes as shown in figue is : A Y () A Y () A Y (3) A Y (4) A Y 3. (4) Y ((( A. (A) c ) c ). ((. A) c ) c )) c ((A c + A). ( c + A)) c (A c + A) c + ( c + A) c A. (A c + c ) +. (A c + c ) A. c +. A c 4. This quesion has Saemen and Saemen. Of he fou choices given afe he Saemens, choose he one ha bes descibes he wo Saemens. Saemen : Davisson Geme expeimen esablished he wave naue of elecons. Saemen : If elecons have wave naue, hey can inefee and show diffacion. () Saemen is ue, Saemen is false. () Saemen is ue, Saemen is ue, Saemen is he coec explanaion fo Saemen. (3) Saemen is ue, Saemen is ue, Saemen is no he coec explanaion of Saemen. (4) Saemen is false, Saemen is ue. 4. () C. J. Davisson and L. H. Geme esed he wave naue of elecon. If i is wave hen i should show diffacion and inefeence. 5. In Young s double sli expeimen, one of he sli is wide han ohe, so ha he ampliude of he ligh fom one sli is double of ha fom ohe sli. If I m be he maximum inensiy, he esulan inensiy I wahen hey ineefee a phase diffeence φ is given by: I () φ m + cos 3 I (3) φ m + 8cos 9 I () φ m + 4cos 5 I m (3) ( 4 + 5cos φ ) 5. (3) I I m / 9 and I I ( cos φ) I (5 + 4 cos φ) (I m / 9) ( + 8 cos (φ / )) 9 AIEEE (9 Ap ) Quesion & Soluions www. penaclasses.com

3 6. If a simple pendulum has significan ampliude (up o a faco of /e of oiginal) only in he peiod beween s o τs, hen τ may be called he aveage life of he pendulum. When he spheical bob of he pendulum suffes a eadaion (due o viscous dag) popoional o is velociy, wih b as he consan of popoionaliy, he aveage life ime of he pendulum is (assuming damping is small) in seconds: () b () ( / b) (3) ( / b) (4) (.693 / b) 6. (3) ma + kx + mbv has soluion x Ae b / sin ω whee ω (k / m) (b / 4). Thus A A e b / giving A A / e a / b. 7. This quesion has Saemen and Saemen. Of he fou choices given afe he Saemens, choose he one ha bes descibes he wo Saemens. If wo spings S and S of foce consans k and k, especively, ae seched by he same foce, i is found ha moe wok is done on sping S and on sping S. Saemen : If seched by he same amoun, wok done on S, will be moe han ha on S. Saemen : k < k. () Saemen is ue, Saemen is false. () Saemen is ue, Saemen is ue, Saemen is he coec explanaion fo Saemen. (3) Saemen is ue, Saemen is ue, Saemen is no he coec explanaion of Saemen. (4) Saemen is false, Saemen is ue. 7. (4) x (F / K ), x (F / K ) W ( / ) K x (F / K ) W [F / K ] Saemen : W ( / ) K x W ( / ) K x (False) Saemen : Tue Q W > W K < K 8. An objec.4 m in fon of a lens foms a shap image on a film cm behind he lens. A glass plae cm hick, of efacive index.5 is ineposed beween lens and film wih is plane faces paallel o film. A wha disance (fom lens) should objec be shifed o be in shap focus on film? ().4 m () 3. m (3) 5.6 m (4) 7. m 8. (3) [ ( / 5)] ( / 3) cm ( / v) ( / u) ( / f) ( / ) ( / 4) ( / f) f (4 / ) cm Again ( / v) ( / u) ( / f) (3 / 35) ( / u) ( / 4) ( / u) (3 / 35) ( / 4) u [(35 4) / (3 4 35)] [84 / (7 735)] (84 / 5) 56 cm 5.6 m. AIEEE (9 Ap ) Quesion & Soluions 3 www. penaclasses.com

4 9. In a unifomly chaed sphee of oal chage Q and adius, he elecic field E is ploed as a funcion of disance fom he cene. The gaph which would coespond o he above will be: E E () () E E (3) (4) E 9. () E (KQ / 3 ) ( ) E (KQ / ) ( ). A coil is suspended in a unifom magneic field, wih he plane of he coil paallel o he magneic lines of foce. When a cuen is passed hough he coil i sas oscillaing; i is vey difficul o sop. u if an aluminium plae is placed nea o he coil, i sops. This is due o: () Inducion of elecical chage on he plae. () Shielding of magneic lines of foce as aluminium is a paamagneic maeial. (3) Elecomagneic inducion in he aluminium plae giving ise o elecomagneic damping. (4) Developmen of ai cuen when he plae is placed.. (3) Accoding o Lenz s Law, eddy cuen is developed on plae.. A specomee gives he following eading when used o measue he angle of pism. Main scale ead : 58.5 degee Venie scale eading : 9 divisions Given ha division on main scale coesponds o.5 degee. Toal divisions on he venie scale is 3 and mach wih 9 divisions of he main scale. The angle of he pism fom he above daa : () degee () degee (3) 59 degee (4) degee. () 9. 5 VSD, MSD.5 3 L.C. MSD VSD (.5 / 3) ( / 6) eading MS + n L.C [ (9 / 6)] AIEEE (9 Ap ) Quesion & Soluions 4 www. penaclasses.com

5 . A diaomic molecule is made of wo masses m and m which ae sepaaed by a disance. If we calculae is oaional enegy by applying oh s ule of angula momenum quanizaion, is enegy will be given by: (n is an inege) n h () ( m + m ) n h () ( m + m ) ( m + m ) n h (3) m m. (3) E ( / ) µ. ω... () and L µω nh... () whee µ [m m / (m +m )] ( m + m ) n h (4) m m ( m + m ) n h using () & () E m m whee h sands fo (h / π) Time in seconds The figue shows an expeimenal plo fo dischaging of a capacio in an C cicui. The ime consan τ of his cicui lies beween : () and 5 sec () 5 sec and sec (3) sec and 5 sec (4) 5 sec and sec 3. (3) V V e / τ 5 e / τ fo v.5, 75 ( / τ) ln ( / ln ) (75 /.693 ) AIEEE (9 Ap ) Quesion & Soluions 5 www. penaclasses.com

6 4. A paicle of mass m is a es a he oigin a ime. I is subjeced o a foce F () F e b in he x diecion. Is speed v() is depiced by which of he following cuves? Fb m F mb () v() () v() F mb F mb (3) v() (4) v() 4. () a() [F () / m] [F / m) e b V() V + a() d (F / m) e b (F / mb) ( e b ) whee F / mb is he peak value. v () 5. Two cas of masses m and m ae moving in cicles of adii and, especiively. Thei speeds ae such ha hey make complee cicles in he same ime. The aio of hei cenipeal acceleaion is () m : m () : (3) : (4) m : m 5. () (a / a ) (ω / ω ) Q ω (π / ) (same fo boh) 6. A ada has a powe of kw and is opeaing a a fequency of GHz. I is locaed on a mounain op of heigh 5 m. The maximum disance upo which i can deec objec locaed on he suface of he eah (adius of eah m) is: () 6 km () 4 km (3) 64 km (4) 8 km 6. (4) OA ( OO ) ( O A ) ( + h ) 8 4 m 8 km AIEEE (9 Ap ) Quesion & Soluions 6 www. penaclasses.com

7 7. Assume ha neuon beaks ino a poon and an elecon. The enegy eleased duing his pocess is: (Mass of neuon kg Mass of poon kg Mass of elecon 9 3 kg) () 7. MeV () 6.3 MeV (3) 5.4 MeV (4).73 MeV 7. (No Opion is coec) Fom daa m n m p. So eacion n p + e is no possible wihou enegy inpu. 8. This quesion has Saemen and Saemen. Of he fou choices given afe he Saemens, choose he one ha bes descibes he wo Saemens. An insulaing solid sphee of adius has a unifomly posiive chage densiy ρ. As a esul of his unifom chage disibuion hee is a finie value of elecic poenial a he cene of he sphee, a he suface of he sphee and also a a poin ou side he sphee. The elecic poenial a infiniy is zeo. Saemen : When a chage q is aken fom he cene o he suface of he sphee, Saemen : is poenial enegy chages by (qρ / 3ε ). The elecic field a a disance ( < ) fom he cene of he sphee is (q / 3ε ). () Saemen is ue, Saemen is false. () Saemen is false, Saemen is ue. (3) Saemen is ue, Saemen is ue, Saemen is he coec explanaion fo Saemen. (4) Saemen is ue, Saemen is ue, Saemen is no he coec explanaion of Saemen. 8. () V (qρ / 3ε ) (dimensionally wong) fom gauss heom E (4 π') 4 3 ε E (ρ / 3ε ) 3 ρ ( π ) AIEEE (9 Ap ) Quesion & Soluions 7 www. penaclasses.com

8 9. A liquid in a beake has empeaue θ() a ime and θ is empeaue of suoundings, hen accoding o Newon s law of cooling he coec gaph beween loge(θ θ ) and is: () () (3) (4) 9. (4) (dθ / d) k(θ θ ) d θ θ θ kd log e (θ θ ) k + C. esisance of given wie is obained by measuing he cuen flowing in i and he volage diffeence applied acoss i. If he pecenage eos in he measuemen of he cuen and he volage diffeence ae 3% each, hen eo in he value of esisance of he wie is: () Zeo () % (3) 3% (4) 6%. (4) (V / I) (d / ) [(dv / V) + (di / I)] (3 + 3)% 6%. The mass of a spaceship is kg. I is o be launched fom he eah s suface ou ino fee space. The value of g and (adius of eah) ae ms and 64 km especively. The equied enegy fo his wok will be: () Joules () Joules (3) 6.4 Joules (4) 6.4 Joules. (3) E mg 6.4 Joules. A cylindical ube, open a boh ends, has a fundamenal fequency, f, in ai. The ube is dipped veically in wae so ha half of i is in wae. The fundamenal fequency of he ai column is now () (f / ) () (3f / 4) (3) f (4) f. (4) Tube open a boh ends : (λ / ) L, λ L (C / f) Tube poion dipped in wae : (λ / 4) L /, λ L (C / f ) f ' f AIEEE (9 Ap ) Quesion & Soluions 8 www. penaclasses.com

9 3. A hin liquid film fomed beween U shaped wie and a ligh slide suppos a weigh of.5 N (see figue). The lengh of he slide is 3 cm and is weigh negligible. The suface ension of he liquid film is: FILM W (). Nm ().5 Nm (3).5 Nm (4).5 Nm 3. (3).S.L W S (W / L) [(.5 N) / (.3 m)].5 Nm 4. A wooden wheel of adius is made of wo semicicula pas (see figue). The wo pas ae held ogehe by a ing made of a meal sip of coss secional aea S and lengh L. L is slighly less han π. To fi he ing on he wheel, i is heaed so ha is empeaue ises by T and i jus seps ove he wheel. As i cools down o suounding empeaue, i pesses he semicicula pas ogehe. If he coefficien of linea expansion of he meal is α, and is Youngs modulus is Y, he foce ha one pa of he wheel applies on he ohe pa is: () SYα T () π SYα T (3) SYα T (4) π SYα T 4. (3) Themal sess Y α θ. T S Y α θ and F ineacion T S Y α θ. 5. Helium gas goes hough a cycle ACDA (consising of wo isochoic and wo isobaic lines) as shown in figue. Efficiency of his cycle is nealy: (Assume he gas o be close o ideal gas) P C P A D V V () 9.% ().5% (3).5% (4) 5.4% 5. (4) efficiency, η ( W / Q +ve ) [Aea unde pv diagam / ( Q A + Q C )] η P V 3 n ( T T A ) + 4 P V P V 3 P V + 4 P V ( / 6.5) 5.4% AIEEE (9 Ap ) Quesion & Soluions 9 www. penaclasses.com

10 6. Hydogen aom is excied fom gound sae o anohe sae wih pincipal quanum numbe equal o 4. Then he numbe of specal lines in he emission speca will be: () 3 () 5 (3) 6 (4) 6. (3) No. of specal line in emission speca [n(n ) / ] 6 7. Poon, Deueon and alpha paicle of he same kineic enegy ae moving in cicula ajecoies in a consan magneic field. The adii of poon, deueon and alpha paicle ae especively p, d and α. Which one of he following elaions is coec? () α p < d () α > d > p (3) α d > p (4) α p d 7. () (mv / q) α ( m / q) m α 4 m p m d m p α p < d km q q α q p q d q p 8. A chage Q is unifomly disibued ove he suface of non conducing disc of adius. The disc oaes abou an axis pependicula o is plane and passing hough is cene wih an angula velociy ω. As a esul of his oaioin a magneic field of inducion is obained a he cene of he disc. If we keep boh he amoun of chage placed on he disc and is angula velociy o be consan and vay he adius of he disc hen he vaiaion of he magneic inducion a he cene of he disc will be epesened by he figue. () () (3) (4) 8. (4) x Q µ. π x. π xdx T µ Q. T µ Q T µ Q ω π AIEEE (9 Ap ) Quesion & Soluions www. penaclasses.com

11 9. An elecomagneic wave in vacuum has he elecic and magneic field E and, which ae always pependicula o each ohe. The diecion of polaizaioin is given by X and ha of wave popagaion by k. Then : () X E and k E () X and k E (3) X E and k E (4) X and k E 9. () e.m. wave ae polaized along E veco and, wave velociy is along E veco. 3. A Cano engine, whose efficiency is 4%, akes in hea fom a souce mainained a a empeaue of 5 K. I is desied o have an engine of efficiency 6%. Then, he inake empeaue fo he same exhaus (sink) empeaue mus be : () K () 75 K (3) 6 K (4) Efficiency of Cano engine canno be made lage han 5% 3. () η [ (T sink / T souce ) ].4 [ (T sink / 5)] T sink 3 k Also,.6 [ (3 / T souce )] T souce 75 k AIEEE (9 Ap ) Quesion & Soluions www. penaclasses.com

PHYS PRACTICE EXAM 2

PHYS PRACTICE EXAM 2 PHYS 1800 PRACTICE EXAM Pa I Muliple Choice Quesions [ ps each] Diecions: Cicle he one alenaive ha bes complees he saemen o answes he quesion. Unless ohewise saed, assume ideal condiions (no ai esisance,