NSEP EXAMINATION

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1 NSE 00-0 EXAMINATION CAEE OINT INDIAN ASSOCIATION OF HYSICS TEACHES NATIONAL STANDAD EXAMINATION IN HYSICS 00-0 Tal ie : 0 inues (A-, A- & B) AT - A (Tal Maks : 80) SUB-AT A- Q. Displaceen f an scillaing paicle is gien by y A sin (Bx + C + D). The diensinal fula f [ABCD] is - (A) [M 0 L T 0 ] (B) [M 0 L 0 T ] (C) [M 0 L T ] (D) [M 0 L 0 T 0 ] Apply he ules f diensinal analysis. The quaniy A us hae he diensins f displaceen. The backeed quaniy us be diensinless and hence, B us hae he diensins f ecipcal f displaceen, C us hae he diensins f ecipcal f ie and D us be diensinless. Q. Tw sall sphees f equal asses sa ing in ppsie diecins f a pin A in a hiznal cicula bi wih angenial elciies and especiely. Beween cllisins, he sphees e wih cnsan speeds. The nube f elasic cllisins he sphees will ake befe hey each pin A again is - (A) 4 (B) (C) (D) [C] efe he figue. The fis cllisin will ake place a pin B. Due elasic cllisin, he sphees will exchange hei elciies and cllide a pin C, again hee will be an exchange f elciies and he bdies will ce pin A cllide f he nex ie. A sping balance and disance f hk f he hinge pin f he inclined plane. The gaph ha cecly epesens his aiain is : (A) (C) f f d 4 5 (B) (D) Sping balance d d [A] The eading n he sping balance is he fce equied lif he plane. Since he angula displaceen is he sae eey ie, he wk dne is fixed and hence he que. In he wds he pduc f fce and disance f pin f applicain f fce f he hinge us be cnsan. f f d B C Q. On ne a f an inclined plane 5 hks ae fixed (a he sae sepaain) lif he uppe a elaie he he a kep hiznal as shwn. The hk fixed n he inclined plane is lifed hugh he sae angle wih he help f a sping balance, using hk,,, 4, 5 in de. A gaph is pled beween he eading f Q.4 Idenical pin asses ae placed a (n ) eices f a egula plygn f n sides. The acan eex has a psiin ec a wih espec he cene f he plygn. Theefe, he psiin ec f he cene f ass f he syse is - (A) (n ) a a (B) (C) na (D) (n ) a n CAEE OINT, C Twe, ad N., IIA, Ka (aj.) h.: /

2 NSE 00-0 EXAMINATION CAEE OINT Ne ha he cene f ass will ge shifed in he ppsie diecin wih efeence he psiin ec f he acan eex Q.5 Thee idenical balls ing gehe alng a hiznal line wih elciy cllide wih w siila balls a es alng he sae line. The cllisin is elasic. Afe he cllisin - (A) w balls e wih elciy. (B) w balls e wih elciy (C) hee balls e wih elciy (D) hee balls e wih elciy [C] As pe he law f cnseain f linea enu, he w balls iginally a es alng wih ne f hse aleady in in will e wih elciy. Tw f he hee balls iginally ing will naually ce es. Q.6 A blck is placed n a suface wih eical x css secin gien by he equain y. If 0 he cefficien f ficin is 0.5, he axiu heigh abe he gund a which a blck can be placed wihu slipping is - (A).00 (B).5 (C).50 (D).90 By dawing he usual fee bdy diaga, we can wie, in equilibiu g sin θ µ s N and g cs θ N giing an θ µ s. Bu an dy x x θ. This gies 0.5 dx 0 0 x 5. x Use his alue in he equain y 0 axiu heigh y.5 ge Q.7 Le L be he lengh and d be he diaee f css secin f a wie. Diffeen lenghs f wie f he sae aeial ae subjeced he sae ensin. In which f he fllwing cases will he exensin be axiu? (A) L 00 c, d.0 (B) L 00 c, d 0.5 (C) L 00 c, d 0. (D) L 50 c, d 0.05 [D] L L Exensin l l A. The exensin d is biusly axiu in case f pin (d). Q.8 Cnside an expessin F Ax sin (B) whee F epesens fce, x epesens disance and epesens ie. Diensinally he quaniy AB epesens - (A) enegy (B) suface ensin (C) inensiy f ligh (D) pessue [C] Diensinal analysis suggess ha he quaniy Ax n HS us hae he diensins f fce wheeas B us hae he diensins f ecipcal f ie. Then, he pduc AB will hae he diensins f enegy pe uni aea pe uni ie, he sae as hse f inensiy f ligh. Q.9 Velciy displaceen cue f a paicle ing in a saigh line is as shwn. Line B is nal he cue and line A is nal he X axis. The insananeus acceleain f he paicle a is /s (0, 4) O A(, 0) B(, 0) S (A) /s (B).5 /s (C) /s (D) ze [C] d Acceleain can be wien as an θ ds whee (an θ) is he slpe f he gien cue and he sybls hae hei usual eanings. Since he slpe f B is 4. The slpe f he cue an θ 4. uing hese alues, we ge he acceleain as /s. Q.0 Suppse ha he gaiainal fce aies inesely as he n h pwe f he disance. Then, he peid f a plane in cicula bi f adius aund he sun will be ppinal - n+ (A) (C) n n (B) (D) n/ CAEE OINT, C Twe, ad N., IIA, Ka (aj.) h.: /

3 NSE 00-0 EXAMINATION CAEE OINT [A] In his case we can wie, GM n ω π T 4π T GM This gies he desied esul. n+. Q. In he cicui shwn, he penial diffeences acss C and C ae especiely 400 Ω C 5 µf G 00 Ω Q. A plane f ass es aund he sun f ass M in an ellipical bi. The axiu and iniu disances f he plane f he sun ae and especiely. Theefe, he ie peid f he plane is ppinal - (A) ( + ) (B) ( + ) / (C) ( + ) / (D) ( + ) 4 The sei-aj axis f he ellipical bi f + plane aund he sun is. Wih he sun a he fcus, Keple's law hen gies he ppinaliy. Q. One le f an ideal is aken f an iniial sae A ( 0, V 0 ) a final sae B ( 0, V 0 ) by w diffeen pcesses. () Gas expands isheally duble is lue and hen pessue is dubled a cnsan lue he final sae. () Gas is cpessed isheally unil is pessue is dubled and hen is lue is dubled a cnsan pessue he final sae. The p -V diaga ha cecly epesen he w pcesses is : p 0 B p 0 B (A) p 0 A (B) p 0 A O 0 0 V O 0 0 V p 0 B p 0 B (C) p 0 A (D) p 0 O 0 0 V O 0 0 V [C] Since he fis sep in bh he pcesses is isheal, we hae pv cnsan giing he pv diaga he shape f a ecangula hypebla. This is bseed in pin (C) nly and hence he answe. C 4 µf 500 Ω.0 V (A) l, l (B) l,. l (C) l, l (D) l, l The al cuen in he cicui flws hugh he w esiss and he galanee nly and i is equal A. This pduces a dp f l acss C and a dp f. l acss C. Q.4 A ball is dpped f a heigh h abe a hiznal cncee suface. The cefficien f esiuin f he cllisin inled is e. The ie afe which he ball sps buncing is - (A) h g e (B) h g e h + e h (C) (D) g e g e [C] The ie equied f he fee fall f he ball is h. Then he ie aken f ise and nex fall g h will be (e). The ie aken f ne e g h ise and fall will be (e ) ec. Theefe, g he al ie f which he ball will be in in, will be h h + e( + e + e +.) g g h h h e + e + g g e g e This n siplificain gies he esul. Q.5 A eal blck is esing n a ugh wden suface. A hiznal fce applied he blck is inceased unifly. Which f he fllwing cues cecly epesens elciy f he blck? CAEE OINT, C Twe, ad N., IIA, Ka (aj.) h.: /

4 NSE 00-0 EXAMINATION CAEE OINT (A) (C) (B) (D) [C] Le f µ s N a. Theefe, 0 f <. F > ne fce n he blck k b whee d b µ k N. Theefe, k b d k b A +. Nw, A 0 since 0 a 0. Thus, gaph f agains is a paablic cue as in (c). Q.6 The eah has ass M and adius. Siilaly he sun has ass M and adius. Disance beween hei cenes is. I is knwn ha he cene f ass f he eah-sun syse lies well wihin he sun. Theefe. M M (A) > (B) < M + M M + M (C) M < M (D) M > M Disance f cene f ass f cene f he sun M will be. Since he cene f ass lies M + M wihin he sun esul. M M + M < and hence he Q.7 Cnside a paicle f a igid bdy. Is in can be descibed by ecs, ω, a,a,and α (sybls hae hei usual eanings). Then, which f he fllwing equains is incec? dθ (A) ω (B) ω d (C) ω ( ω ) (D) α a a Vec elain beween linea elciy and angula elciy is ω, s ha pin (b) is incec. Q.8 Thee enegy leels A, B and C in an aic syse ae such ha E A < E B < E C. If he waelenghs cespnding he ansiins C B, B A and C A ae λ, λ and λ especiely, hen (A) λ + λ + λ 0 (B) λ λ + λ (C) λ λ + λ (D) λ [D] λλ λ + λ In es f enegy diffeences, we can wie E CA E CB + E BA. This can fuhe be wien as hc hc hc + and hence he esul. λ λ λ Q.9 The efacing angle f a pis is A and efacie index is c (A/). The angle f iniu deiain is - (A) (80 A) (B) (80 A) (C) (90 A) (D) (90 A) Use he pis fula A + δ sin µ A sin c A A A + δ cs sin A A sin sin A + δ sin A sin A A + δ cs sin. This sugges ha he angles n he w sides ae cpleenay, A A + δ ha is, This can be siplified ge he esul. CAEE OINT, C Twe, ad N., IIA, Ka (aj.) h.: /

5 NSE 00-0 EXAMINATION CAEE OINT Q.0 efe he aangeen f lgic gaes. F A 0, B 0 and A, B 0, he alues f upu Y ae, especiely - A B Y (A) 0 and (B) and 0 (C) and (D) 0 and 0 efe he uh ables f AND, O and NO gaes f any sandad bk. Q. A plasic ing f adius has a chage + Q disibued unifly alng ne quae f is cicufeence and a chage Q unifly disibued alng he es f he cicufeence. The penial n is axis a a disance f is - (A) Q 4πε 0 (B) 4Q 4πε 0 Q (C) 4πε (D) 0 4πε 0 [C] Using sandad elain, he penial Q Q Q πε which n siplificain gies he answe. Q. The figue shws fu ienains, a angle θ wih a agneic field B, f a agneic diple wih en M. The agniude f que (τ) and penial enegy (U) is bes epesened by 4 θ θ θ θ B Q. A cylindical essel cnains a liquid f densiy p filled up a heigh h. The uppe suface f he liquid is in cnac wih a pisn f ass and aea f css secin A. A sall hle is dilled a he b f he essel. (Neglec he iscus effecs). The speed wih which he liquid ces u f he hle is - (A) gh (B) g h + pa (C) g h + (D) pa g h + pa Use Benulli's hee a he uppe suface and a he sall hle. We ge an equain g pgh + ρ whee is he speed f A efflux. Sling his we ge he expessin f speed g gh + g h +. ρa ρa Q.4 A chaged capaci dischages hugh a esisance. Le U be he enegy sed by he capaci and le be he ae a which enegy ges dissipaed. Then, he ie cnsan is : 4U U U U (A) (B) (C) (D) [C] Take he ai f he enegy sed in he capaci he pwe dissipaed. ha is, CV U C U C. V Q.5 The fllwing figue shws diffeen aangeens f w idenical pieces f plancnex lenses. The efacie index f he liquid used is equal ha f he glass. Then, he effecie fcal lenghs in he hee cases ae elaed as (A) τ τ, τ τ 4 and U U U U 4 (B) τ τ τ τ 4 and U U 4, U U (C) τ τ 4, τ τ and U U U U 4 (D) τ τ τ τ 4 and U U U U 4 Ne ha he agniude f he que acing n he diple is τ MB sin θ and penial enegy is U MB cs θ. f f f liquid (A) f f, f 0 (B) f f f (C) f f > f (D) Nne f he abe CAEE OINT, C Twe, ad N., IIA, Ka (aj.) h.: /

6 NSE 00-0 EXAMINATION CAEE OINT [D] The fcal lenghs f and f ae equal. The aangeen in he hid case is effeciely a plae and hence has an infinie fcal lengh. Q.6 A lng wie caying a cuen A is placed alng he axis f a lng hllw ube f adius 5 c als caying a cuen f A in he sae diecin. The agneic field a a disance f.5 c f he axis is : (A) T (B) T (C) T (D) Ze [A] Ne ha he cuen hugh he wie nly will cnibue he agneic field a a pin inside he hllw ube. Q.7 A Unif slid sphee f ass has a adius. The gaiainal penial a a disance (< ) f he cene f he sphee is : G G (A) ( ) (B) ( ) G G (C) ( ) (D) ( ) [C] The gaiainal penial a a disance <, is ade up f w pas ne due he ass f sphee f adius, say V and ha due he eaining ass, say V. One finds ha GM G V and V ( ), and hen by adding ne ges he esul. efe any sandad bk. Q.8 The fcal lengh f a cncae i is f. An bjec is placed a a disance x f he fcus and fs a eal iage. Theefe, he agnificain (nueically) is : f f x x (A) (B) (C) (D) x x f f [A] Since he iage fed is eal he bjec us be beynd he fcus. Theefe, aking he bjec disance be (f + x) and using i fula, f (f + x) we ge he iage disance as and hen x f he agnificain. u x Q.9 A phn f waelengh λ (less han heshld waelengh λ 0 ) is inciden n a eal suface f wk funcin W 0. The de Bglie waelengh f he ejeced elecn f ass is : hc h (A) h W 0 (B) λ hc W 0 λ h (C) (D) hc hc W 0 h W 0 λ λ [] hc Wih usual nain, E k W0. Als if p is λ p he enu f he phelecn, E k p Ek. Thus, he de Bglie waelengh f he ejeced elecn h h λ which ne subsiuin gies p E k he answe. Q.0 In he fllwing V-T diaga f a pefec gas, he elain beween p and p is : V p T O (A) p p (B) p < p (C) p > p (D) unceain Ne ha he slpe f he V-T diaga is inesely ppinal pessue p. Q. A phgaphic plae placed a a disance f 0 c f a pin suce is expsed f a 4 secnd. If he plae is ed fahe away by 0 c, he ie equied hae he sae expsue (A) 4 secnd (B) 6 secnd (C) 8 secnd (D) 64 secnd Accding he inese squae law, illuinance is inesely ppinal squae f he disance. p CAEE OINT, C Twe, ad N., IIA, Ka (aj.) h.: /

7 NSE 00-0 EXAMINATION CAEE OINT Q. The lage e a cycle aies as π V 0 sin ω f 0 ω π π V 0 sin ω f ω ω The aeage alue f he lage f ne cycle is : V (A) 0 V (B) 0 V (C) ze (D) 0 π [D] The lage epesens he upu f a full wae ecifie whse de cpnen he aeage V alue is 0. π Q. Yung's duble sli expeien is fis pefed in ai and hen by iesing he whle seup in a liquid. The 0 h bigh finge when in liquid is fed a he pin whee 8 h dak finge is lcaed when in ai. The efacie index f he liquid is : (A).5 (B). (C).40 (D).0 λd Finge widh w whee sybls hae hei d usual eanings. Ne ha waelengh λ in ai changes µ λ in a liquid f efacie index µ. Nw, we can wie 0 w liq 7.5 w ai λliqd λaid λai λ ai. d d µ This hen gies µ Q.4 A spheical shell ade f a eal f densiy ρ eains jus belw he suface f a liquid f densiy ρ l. If and ae especiely he inne and he ue adii f he shell, hen, he ai is : (A) ρ (C) ρ l ρ l (B) ρ ρ l ρ ρ (D) l ρ Using he law f flaain, we equae he weigh f he bdy he uphus and ge 4 π( 4 )ρ g π ρ g ρ and he esul fllws. ρ Q.5 A eal sip 6 c lng, 0.6 c wide and 0.7 hick es wih cnsan elciy hugh a unif agneic field f inducin 0.9 T dieced pependicula he sip as shwn. A penial diffeence f.6 µv is induced acss pins M and N f he sip. Theefe, he speed is : M N (A) 0. /s (B) 0. /s (C) 0. /s (D) 0.4 /s [] E in wding, quesin deleed. Q.6 The ai f agneic field a he cene f a cuen caying cicula cil is agneic en is x. If he cuen and he adius bh ae dubled, he alue f his ai wuld be (A) x (B) 4x (C) x/4 (D) x/8 [D] Ne ha agneic field a he cene f a cuen µ ni caying cil is 0 and is agneic en is π nl. Theefe hei ai aies inesely as. Q.7 A cnducing ing f adius is placed in a aying agneic field pependicula he plane f he ing. If he ae a which he agneic field aies is x, he elecic field inensiy a any pin f he ing is - (A) x (B) x/ (C) x (D) 4 /x CAEE OINT, C Twe, ad N., IIA, Ka (aj.) h.: /

8 NSE 00-0 EXAMINATION CAEE OINT Le E be he elecic field inensiy a a pin n he cicufeence f he ing. Then, he ef induced ε E dl f he ing. Since E whee d l is a lengh eleen is cnsan and E dl, he inegal wks u be E (π). Als he induced dφ ef is ε π db π x. Equaing he d d w, we ge he esul. Q.8 Unplaized ligh inensiy f W/ passes hugh hee plaizes. The ansissin axis f he las plaize is cssed wih ha f he fis. If he inensiy f ligh eeging u f he hid plaize is W/, hen he angle beween he ansissin axis f he fis w plaizes is (A) 0 (B) 0 (C) 45 (D) 60 Le he angle beween he axes f he fis w plaizes be θ. The inensiy afe he fis plaize is half f ha inciden n i, ha is 6 W/. The inensiy afe he secnd plaize will be 6 cs θ W/. The inensiy afe he hid plaize can be wien as (6 cs θ) cs (90 θ) since he angle beween he axes f he secnd and he hid plaizes is (90 θ). This gies n siplificain, sin (θ) q 60 θ 0. Q.9 Tw sap bubbles f adii and ae in cnac wih each he. The adius f cuaue f he ineface beween he bubbles is - (A) (B) 6 (C) (D) Excess pessue diffeence acss he ineface is 4T 4T 4T 4T which us be whee is 6 he adius f cuaue a he ineface. This gies 6. Q.40 A adiacie eleen X cnes in anhe sable eleen Y. Half life f X is hs. Iniially nly nuclei f X ae pesen. Afe ie, he ai f nube f nuclei f X ha f Y is fund be : 8. Theefe, (A) 9 hs (B) 6hs (C) 7.5 hs (D) is beween 6 hs and 9 hs [] E in wding, quesin deleed. SUB - AT - A - Q.4 A hp lls dwn an inclined plane wihu slipping. Then, (A) he inclined plane is sh (B) he inclined plane is ugh and sill hee is n lss f echanical enegy (C) he pin f cnac f he hp wih he inclined plane is always a es (D) he linea speeds f diffeen pins n he i f he hp ae diffeen [C, D] efe any sandad bk. Q.4 Which f he fllwing phenena is / ae elaed he aiain in densiy f aspheic ai? (A) iage (B) in wine sund f a whisle f a ailway engine is head a uch lnge disances (C) winkling f a sa (D) isibiliy f sun f se ie afe he sunse [A,B,C,D] All he phenena e due fain f layes f aspheic ai wih diffeen densiies and hence efacie indices. Q.4 The gaph shws he displaceen f a bdy as a funcin f ie. Which f he fllwing is / ae he cnclusin? x (A) The gaph epesens in wih cnsan elciy (B) The gaph epesens acceleaed in (C) The bdy ces es afe a lng ie (D) The gaph epesens a eaded in [C, D] Slpe f he cue a a pin is he elciy which is deceasing in his case and hence he bdy is deceleaing. The gaph is ising expnenially and heefe he bdy will ake a lng ie ce es. CAEE OINT, C Twe, ad N., IIA, Ka (aj.) h.: /

9 NSE 00-0 EXAMINATION CAEE OINT Q.44 A ansis is cnneced in cn eie de. The cllec supply is 0 l and lage dp acss esis f kω in he cllec cicui is 0.5 l. If he cuen gain is β is 49, hen (A) he base cuen is 50 µa (B) cuen gain α is (C) he eie cuen is abu 50 µa (D) he base cuen is 0 µa [B, C] 0.5 The cllec cuen is biusly A. use he sandad elains f he cuen gains α, β and he elain beween he α β. Als ne ha I E I B + I C. α Q.45 The aiain f gaiainal field inensiy wih disance f he cene f a bdy is shwn in he gaph f which ne can cnclude ha E g [A, B, C] Since in case f a esis he lage and he cuen ae in phase, pin (d) is n pssible. Due eacie cpnen capaci he pins gien ae pssible. Q.47 A pesn is siing in a ing ain and is facing he engine. He sses up a cin which falls behind hi. He cncludes ha he ain is ing - (A) fwad wih inceasing speed (B) fwad wih deceasing speed (C) backwad wih inceasing speed (D) backwad wih deceasing speed [A, D] Only in case f fwad acceleain and backwad deceleain is he gien bseain pssible. Q.48 F an LC cicui A B C E g 4 O (A) aiain f gaiainal field inensiy is due he spheical ass bdy f adius (B) E g f < (C) he sepaain f w pins and is 9/4 (D) he sepaain f w pins and is /4 [A, B] efe any sandad bk. Q.46 When an alenaing cuen flws hugh a cicui cnsising f a esis in seies wih a capaci, duing he cycle a se insan i is pssible hae - (A) lage acss he cicui ze bu cuen hugh i n ze (B) cuen hugh he cicui ze bu he lage acss i n ze (C) cuen hugh he capaci n ze bu he lage acss i ze (D) cuen hugh he esis n ze bu he lage acss i ze D O ω ω (A) A and B epesen and Z especiely (B) A and B epesen Z and especiely (C) A, B, C and D epesen Z, X, and X C especiely (D) f ω ω, he phase diffeence beween cuen and lage beces ze [C, D] Ne ha is independen f ω, X L diecly ppinal ω and X C inesely ppinal ω. Again Z has a axiu a iniu alue a ω ω a which he lage and he cuen ae in phase. Q.49 A funace has a w layeed wall as shwn scheaically. Each laye has he sae aea f css secin. The epeaue θ a he ineface f w layes can be educed by l i l 0 inne laye ue laye 800 C 80 C k i θ C k 0 CAEE OINT, C Twe, ad N., IIA, Ka (aj.) h.: /

10 NSE 00-0 EXAMINATION CAEE OINT (A) inceasing he heal cnduciiy f ue laye (B) deceasing he heal cnduciiy f inne laye (C) by inceasing he hickness f inne laye (D) by deceasing he hickness f ue laye [A, B, C, D] ae f hea flw H which l l + 0 KA K 0A 800 θ is als equal. Using hese w l KA 70 elains we ge, θ 800. Thus K l + 0 K 0 l ne can educe he epeaue a he ineface by any f he fu pins gien. Q.50 Siple pendulus and hae lenghs l 80 c and l 00 c especiely. The bbs ae f asses and. Iniially bh ae a es in equilibiu psiin. If each f he bbs is gien a displaceen f c, he wk dne is W and W especiely. Then (A) W > W if (B) W < W if 5 (C) W W if 4 4 (D) W W if 5 [A, D] Wih usual nain, he heigh hugh which he θ bb falls is h l( csθ) l sin θ l since θ is sall. Theefe, we can wie 4 h lθ l a l.e. gh a. Thus, he wk dne W l ga W l l AT B Maks : 60 * All quesins ae cpulsy. * All quesins cay equal aks Q.5 Assue ha a cnsan pwe is supplied an elecic ain and i is fully used in acceleaing he ain. Obain elain giing he elciy f he ain and disance aeled by i as funcins f ie. we cnsan, heefe F F d d. Inegaing his we ge dx. Wiing he elciy as and d fuhe inegaing, we ge he expessin f he disance x Q.5 A blck f ass.5 kg ess n a ugh hiznal suface. A hiznal fce applied he blck inceases unifly f 0 5 N in 5 secnd. Deeine elciy and displaceen f he blck afe 5 secnd. Use µ s 0.6 and µ k 0.5 and g 0 /s. Wih usual nain, F s µ s N 9N and F k µ k N 7.5 N. Applied fce ises F s 9 N a s. Theefe, f s, 0 and s 0. F s, ne fce n he blck is ( 7.5), d d ha is d d 5 + A. Hee.5 kg. Nw, a s, 0, gies A 6. Wih his we ge f s, Theefe, a 5 s, 6 /s. F ds he equain f, we ge s d B. Again a s, s 0, giing 9 B. Wih his we ge, s 5 4 s Hence a 5 s, CAEE OINT, C Twe, ad N., IIA, Ka (aj.) h.: /

11 NSE 00-0 EXAMINATION CAEE OINT Q.5 A we used f pwe ansissin leaks a cuen in he gund. Assue ha he cuen speads unifly (heispheically) in he gund. Le p be he esisiiy f he gund and be he disance f he cene f he we (assued be d). The lwe end f he d is spheical wih adius b. Deeine () cuen densiy as a funcin f, () agniude f elecic field a a disance. and () penial diffeence beween he lwe end f he d and a pin disance. we efe he figue. Wih usual nain, we hae qv qv. Again, qb. Eliinaing f he w qb elains, we ge V. Nw, sin θ B q l q lb. Subsiuing he alues gies V sinθ θ 0 O b Use I J da inside gund whee cuen densiy ec J is paallel he aea eleen da f he heispheical suface. When inegaed, he aea ces u be π. This gies he cuen I densiy dieced adially uwad a any π pin. Using icscpic f f Oh's law J σ E whee s is he cnduciiy, we ge he agniude f J I elecic field E ρ whee we hae used σ π J ρ. Nw, deeine he penial σ dv diffeence we use he elain E dv d Ed. Subsiuing he alue f E and inegaing beween he liis b and, we ge he Iρ penial diffeence π b Q.54 An alpha paicle is acceleaed hugh a penial diffeence f 0 kv. Then i enes in a egin f ansese agneic field f inducin 0.0 T exended up a disance f 0.0. Deeine he angle hugh which he alpha paicle deiaes. (ass f he alpha paicle kg) q θ l Q.55 A hin plancnex lens f fcal lengh f is cu alng he axis in w hales. The w hales ae placed a a disance d f each he as shwn. The iages fed by he w hales lie in he sae plane. The disance beween he bjec plane and he iage plane is.8. The agnificain pduced by ne f he hales is. Deeine f, d and he agnificain pduced by he he half. Obiusly L fs an iage wih agnificain s ha u. Again u +.8 u giing u 0.6 and.. Using lens fula we ge f 0.4. Nw, f lens L, u d and. d. Using hese alues and als f 0.4, we ge d (d 0.6) 0 d 0.6. Fuhe he agnificain pduced by L is bjec plane d L L θ iage plane CAEE OINT, C Twe, ad N., IIA, Ka (aj.) h.: /

11. HAFAT İş-Enerji Power of a force: Power in the ability of a force to do work

11. HAFAT İş-Enerji Power of a force: Power in the ability of a force to do work MÜHENDİSLİK MEKNİĞİ. HFT İş-Eneji Pwe f a fce: Pwe in he abiliy f a fce d wk F: The fce applied n paicle Q P = F v = Fv cs( θ ) F Q v θ Pah f Q v: The velciy f Q ÖRNEK: İŞ-ENERJİ ω µ k v Calculae he pwe