ANSWERS, HINTS & SOLUTIONS FULL TEST II (PAPER - 2) Q. No. PHYSICS CHEMISTRY MATHEMATICS

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1 ITS-FT-II Pper-)-PCM-Sol-JEEdvced)/7 I JEE dvced 6, FIITJEE Studets bg 6 Top IR, 75 Top IR, 8 Top 5 IR. 5 Studets from Log Term Clssroom/ Itegrted School Progrm & Studets from ll Progrms hve qulfed JEE dvced, 6 FIITJEE LL INDI TEST SERIES JEEdvced)-7 NSWERS, HINTS & SOLUTIONS FULL TEST II PPER - ) Q. No. PHYSICS CHEMISTRY MTHEMTICS. B B. D C B. D C. C B D 5. B B 6. D B B 7. B C B 8. B D 9. BCD BC D. D CD CD. C BC BD. BC C D. D D D. C B 5. C B C 6. C 7. C B D 8. D D FIITJEE Ltd., FIITJEE House, 9-, Klu Sr, Srvpr Vhr, New Delh -6, Ph 66, 65699, F 659

2 ITS-FT-II Pper-)-PCM-Sol-JEEdvced)/7 Phscs PRT I SECTION. v λ=.66m f 5. =d=, Now, U=f=fd kq V = ;V = b. kq 5b. If other shell s kept upsde dow over t complete sphere, et feld should become zero 5. F =FB -π ρgh F =FB -π ρg h 6. v v v Frequec s depedet of medum 7. B w s mgetc feld of wre B B Bw B B B 8. V w B B B fr C > f s = for mootomc but f s 5 for dtomc t orml temperture. But f>5 for dtomc C gses. t hgh temperture eerg of vbrto lso creses tke tht to ccout V creses sce molecules of mootomc gs do ot vbrte, ts C V rems sme. 9. The loops s lws ttrcted towrds wre s the rego prt of loop gettg ttrcted s eperecg stroger mgetc feld. The mgetc feld due to the outer loop s to the pper. The force o elemet of the er loop hs the drecto gve b ds B where ds s the elemet legth the drecto of curret. Thus the force s rdll outwrd. Sce the force s smmetrc,.e. rdll outwrds everwhere d the loops re cocetrc, there s o et force o the er loop. FIITJEE Ltd., FIITJEE House, 9-, Klu Sr, Srvpr Vhr, New Delh -6, Ph 66, 65699, F 659

3 ITS-FT-II Pper-)-PCM-Sol-JEEdvced)/7. Equvlet dgrm s s show P s moved cm rght them R =, R = R R = Hece whet stoe wll be blced R R If s s moved left 5 cm the R R R hece hece whet stoe wll be blced) R R. I t Hece t I I 5. f T So f creses b cresg T..e. f f Hz 6. v f Pressure wll crese, equll t ll pots 8. The compresso wll be proportol to g eff SECTION C. B ler mometum coservto mpulse J) = mv. B gulr mometum coservto, gulr mpulse J I mv mv 6v mv 6 / I or rd s I m So. F M Mg For equlbrum Mg F mg F 5 N FIITJEE Ltd., FIITJEE House, 9-, Klu Sr, Srvpr Vhr, New Delh -6, Ph 66, 65699, F 659

4 ITS-FT-II Pper-)-PCM-Sol-JEEdvced)/7 Chemstr PRT II SECTION. P ΔH log = - P.R T T P 97 log = P =98torr 98-Psol... =» P =97.6torr sol Lowerg VP= )=.5torr. 5 ' C H C B CH CB S5 ')= C Terml crbo crbo dstce= CB =.5 S5 ') =.5..5.mol of CH COON d.5mol H O s formed..5 T f = g H O per hr. / )mol H O per hr. / )mol NH ) S O 8 per hr. mole e - per hr =57.68mp curret requred=5 mp E cell =E cell- log Q.59 =E cell- log K FIITJEE Ltd., FIITJEE House, 9-, Klu Sr, Srvpr Vhr, New Delh -6, Ph 66, 65699, F 659

5 5 ITS-FT-II Pper-)-PCM-Sol-JEEdvced)/ =-.799) - log6 ).7 6. SO H SO + H , B, D s hvg ple of smmetr. Itercept=E = Cu /Cu E + = -. - log. Cu/Cu E = -.5V + E + =E + - log[cu ] Cu/Cu Cu/Cu + Cu/Cu 9. I sotherml process ΔU=,. 5.6 mole Mg ) mole of e ) coloumb. C H,CH CH OH, NH d I hve hgh BP so low vpour pressure. ). het FeSO.7H O FeSO B)+H O FeSO.7H O Fe O D)+SO E) +SO F) strog het 5 6) H O +KI+ H SO K SO +I +H O I + N S O NI + N S O 6 mmol of hpo mes mmole of I d mmole of H O. so molrt=, ormlt.6n 5 5 d volume stregth=.v=.896v 5 FIITJEE Ltd., FIITJEE House, 9-, Klu Sr, Srvpr Vhr, New Delh -6, Ph 66, 65699, F 659

6 ITS-FT-II Pper-)-PCM-Sol-JEEdvced)/ C d C5 should hvg opposte cofgurto for S to be meso. 8. C d C5 should hvg opposte cofgurto for S to be meso t s possble wth D ol. CH OH H H O O H H OH)H OH)H Q) CH OH S,MesoC d C5 hve opposte cofgurto) SECTION C. Proluste MO Iro Chromte FeO.Cr O Sderte FeCO Cssterte SO Clme ZCO rgette g S Lme stoe CCO Chlcoprte CuFeS. NH,SO,C OH,NCl. I,,d V re correct. + + Sc &Co re dmgetc Sol. CH CH CH FIITJEE Ltd., FIITJEE House, 9-, Klu Sr, Srvpr Vhr, New Delh -6, Ph 66, 65699, F 659

7 7 ITS-FT-II Pper-)-PCM-Sol-JEEdvced)/7 Mthemtcs PRT III b b b b 76, b 8 SECTION. b 5 b b 55 )b 5) Totl umber of postve solutos 8 Totl umber of solutos 6.. f f f d So opto c s correct. f. f. P!.!.!) 6 lm )! )! 9 c 5. b 7b c b 7b b 7 b Le psses through mmum s zero., 7, 7 7 mmum dstce from org d 6. Let roots of the equto 5 7 re,, b, c b 5 FIITJEE Ltd., FIITJEE House, 9-, Klu Sr, Srvpr Vhr, New Delh -6, Ph 66, 65699, F 659

8 ITS-FT-II Pper-)-PCM-Sol-JEEdvced)/7 8 bc 7 S or 5 7 ) b) c ) 5 7 S ) S b) S c) 5 S ) S b) S c) 8 S S ) S b) S c) Clerl s repeted root of f)= f) f ) f ) f) f ) lm f ) f) f) lm f ) f) f) f ) lm & s bouded fucto f ) f) = = 8. Clerl f f) = ) ) the g) = b ) ) h) k ) ) h)h ) k ) ) ) So dstct roots of d h)h )) = re. d 9. p q z z z z z z To fctores mke p q p d lso for perpedculrt p q q p p p 7) p ) p, q, 7 p, q. Let d p, d p p pp' p p p' p or p ' whch gves c c ) or c ). Fro more th oe trplet stsfg ll three equtos we hve FIITJEE Ltd., FIITJEE House, 9-, Klu Sr, Srvpr Vhr, New Delh -6, Ph 66, 65699, F 659

9 9 ITS-FT-II Pper-)-PCM-Sol-JEEdvced)/7 b c b c c b b c z) stsfg the trplets We get, p 7 8 d.. If f ) s cotuous the lm f tk ) f lm tk ) f Where k k lso s grph s smooth f. h ) s d Let k / o k,, k I s d s d k cos ) h ) ) cos ) cos) h ) s depedet of f..e. k kn should be dvsble b,,.e. mmum ) =.. h ) s. cos h) lm lm Let d s. cos d lm s. cos d lm. s cos d s cos d s lm t k k ).. cos d FIITJEE Ltd., FIITJEE House, 9-, Klu Sr, Srvpr Vhr, New Delh -6, Ph 66, 65699, F 659

10 ITS-FT-II Pper-)-PCM-Sol-JEEdvced)/7 5. P cos I PC cos 5 s s ) 5 cot. PB..s PBC 6..t PB. PB..s9º ) C P B 7. Ether the strpes t odd umber re pted wth bsc colour or t the eve umbers. Totl ws 7 8. t No of ws of ptg strpes No of w of ptg strpes whe t eds wth prtculr bsc colour R, B or G) b No of w of ptg strpes whe t eds wth prtculr o bsc colour R / B, B / G or R / G) t = b ) ) = b b = Equto ) d ) gves b b b ) ) O solvg chrcterstc equto we get b b b t. SECTION C. Requred ple cots z-s d orml of z hece ts equto s 6 dstce from,, ) s uts O ddg d subtrctg the curves we get ) ), 59 respectvel FIITJEE Ltd., FIITJEE House, 9-, Klu Sr, Srvpr Vhr, New Delh -6, Ph 66, 65699, F 659

11 ITS-FT-II Pper-)-PCM-Sol-JEEdvced)/7 FIITJEE Ltd., FIITJEE House, 9-, Klu Sr, Srvpr Vhr, New Delh -6, Ph 66, 65699, F 659 Let pot of tersecto be ), ), ), ), d, We requred ) ) ) ) )... Trce lm lm / Trce = ) ) ) f f s ) 986 ) f f ) ) f ) 985 f. Sum of the dgts = From the fgure 9 º 8cos l = º

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