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A1.fud qrc ffi fr'r{qrfi q .qqsJ nqr E gE1 gfft t, drF*., g frlu d wfuo rmt,(1) Niorsczini*gi'eT6s@2.Hindi2 -d 417frgrq rqoror(3) Hnqtz{t qr rfr s-{G(cAi41tu{fr(4) ffii, kird- aqrsftitdf l{ s{iCr * q furyq d r nrq qr z fre ffiqt nqr}tr(4)3.drWeqq-fftr, 'A'rqrB, * qrqiq mwr: ,a ),,nq'i.' tr cnq q ffi artrffit-- e1 vqr qqn trffi qrq & q{qqqqTri ,8, q ffTmt-* 1 {qr r'q'Ccrir t qiq- qri rlwa(1) i1I"*.n2.A gas mixture consists of2 moles of O, and 4 molesof Ar at temperature T. Neglecting all vibrationalmodes, the totalintemal energv of l.he system isiX[' go u*at * rfE*r8(3) eRr -e:11 RT,W3.Radioactive material 'A' has decay constant '8 }.'and material'B' has decay constant'tr'. Initiallythey have same number of nuclei. After what time,the ratio of number of nuclei of material 'B' to that'n *rruUR8Te.:19TtElif ffii vr q-dtf -6T 41 crfi 3Tif{r6 :rrrrqr t r Ev 1 qq gqr crfr d fufa-d I dri srdi cste 5r r erer rrm tfu'a-offi rdri crfr *Ed1o mm *q d vrm t nen W.0 Wcrfl Ed ildyrflrqtTq il 65 -m #q qq qror t r ( ettsqstFsi) iii i-o r qrtfem q{ t :q- ittPat4.E65 mmcldt9[ethe oil ,t. Gqd(2)(3)(1)mmv-Final water levelInitial water gm800kgm928 kg-]to65 mm6) mrn0) A U tube with both ends open to the atmosphere, ispaDepartially filled rvith u,ater. Oil, which is imerisciblewith water, is poured into one side until itstands ata distance of 10 mtrr above the water level on theother side. Meanwhile the water rises by 65 mmfrom its original level (see diagram). The dersity ofPaFe--11 rglte ,7lr-\ -Xt fxt8\(4). -Qr\' Noe-1 (3)'l4.I Nn NrgAf"l1(4)*IH7 ,(3)ue(l) nr1(2)a combination of cells, galvanometer andresistancesq'.q{ q fuqmt'd {.tuqd-e er,tl tlelrqilgq g t{sTq 1gn amR-*u-vf ttfr:(i) 4 Rr(2) 15 Rr(3) e Rr(4) 11 Rr A potentiometer is an accurate and versatile deviceto make elechical measurements of E.M.F. becausethe method involves :(1) cells(21 potential gradientsa condition of no currenl flow through theAgalvanometerA800 kg m928 kg m-3-:9lh tosx\3

5fHfia;E,s["hl5.*1 qqr{ z.r cmaqr ffi 1.2s cm tt qcQ ss pa *1 f gd qrrs-qrf6a d tr Eq rR 0.8s r fi-fdr 6T qs-Eq iqd-* qfifud f*qr qrdr t r fr, qe qqgi * frra w250 -t erd sfi sTrqtr n1ffiB' rao'tgqri i*e-e1ffisnqr ' m,r{5.width(1)9.1*JQ)4.55 p(3)2.3i"6(2)(3)t9.1 rr I4.5s pJ2.3J5,Tir1ff Irfr:hh,F ffiJ3mkr2h(3)2h(3)ffi(4)2hJ3mkT2h(4) ffiI eqTiq1 q;ndrft*Adtr*qq'ntt'*rd{Ern sr\fipeg on a smooth horizontal table. If the particlemoves in circle with spsed 'u', the net force on thet?( tF-r.1One end of string of length I is connected to a particleof mass 'nf and the other end is connected to a small7.eik gvor Es{ fu{ qs fiil*i tlrf,d tq qidr qA Eqr t r qR qooq TirFF'R qq q{6.ri qmr fu q rWh o-rm d,gg t*-ort o*(A;- 61 erh:) drn: (r-rdqtn-trqt)'o'z \'z-JmkTffih7.1h(1)'9,@tron in thermalThe de-Broglie waveeq ufibrium withwater at a temature T(Kelvin)mass m, lsqs'qlf{6rrqqH n1 tnq q6r ( k{) ilq qtTs qd qrer sffiq wg6{ t tr Es"1 t-aTai(1)pItu(4) r.ts*1 -@'xtsx2tf;\'15xt0dlx o.(S a/ vo .t-1685 pA and*?Lsl qfr9Kr" J1.15 p(4)Ecarrles at5:d,n,A1-Nparticle (directed towards center) will([ represents the tension in the string)(1) r(1) r '2(2)T(3)T-','"(4) {lqQ)IIvT "IT- "/I(4)Zerobe

A8.i E4ra cftcr{ t ntr q-dsc sftdq-s, ft Fdqqkq eil q qTal ffi g t r r& vftitu ql,.fuiq, n : s.o o, T&-6ic*qr lrre, l : z.o -n taqr i e0 ol f ga qr{fr qo, e 18 v t r n}, mq ae a;G *'gr 'ltqEffi t f{gd qRI, 'r 6r qrrc?f scrfqFigure shows a circuit that contains three identical8.resistors with resistance R 9.0 O each, twoidentical inductors with inductance L 2.0 mHeach, and an ideal battery with emf e: 18 V. Thejust a{ter the switchcurrent 'i' through the badosed is,.&n' .LRRL9(2)0.2(3)2A(4)qqCFqq{qfi(1)Affiqqq qr, i ffii q"q* r wT y frtflr*,FF{r: x 5t-2t2a9ry 10tt (qdr qr y *a dsft t ffis q t) ,it, t 2" qt Bq gu1 61 6qqrd,lLL,9mA(2)0.2A(4)0The,&&ere-4r ald y coordinates of the particle at any time5t - 2t2 and y 10t respectivelv, where r andy are in meters and t in seconds. The acceleration(2\5 n1/ s-(3)-4nrfs2(4)-8 m/s2wo((2)dLf, m/e1M t q nizfr sik qm {&eir srratt q31i.i 3rm{ *dr t i {{t t q - o t dk 6nn 1" atr qk q E \ t 'd' CS c{ r,i Er{S-qn c{crg3t Ets (sri a q{qr-I t ergs t egd 3TltI6tl ttrrt qf, E'm 3ir t Fqtq eo r qM (fu)qi q'lft rhft ;1a t d, ae-rs Er{ q{ Er Eqtrqi{ mh:1.67 x ro 27kg)(1)10-2{l C(2)10(3)]0(4)1A 47C-2337cc.lr tgl xoLxZ6x lO-\ixof:Fq.* \s'-4m/s2(4)t((1) o0(fiqrT\8are.r:'l10.2the particle at t 2s isr{,r,r.,(1)CC\g2mA \ra0)R'1 8m/s2e, ro-r*-lto7 ppose the charge of a proton and an eleckon differslightly. One of them is - e, the other is (e Ae). Ifft e ne ! gi.ebctunstaticfmceandgravitational forcebetween two L,dreeen atoms placed at a disLance d(mugh greater thar atom-rc size) apart is zero, thenAe is of thof [Given mass of hydrogenmh 1.67 x10-27 kgl(i)10(2)10-23 C-20 Cc{10(4)10-17 C-37

A511.frFr*l-o *1e-frs]triif e oi{ n q1, orft d vR.rt wgun wru fr *e er dqf u.rw tr {t eiiio1 3;qt qro m mrpr: K1 defl K2 t r d, e 0 e-fiqgmse6ls6qr qP65'qfrfi11.Two rods A and B of different materials are weldedtogether as shon'n in figure. Their thermalconductivities are K1 and Kr. The thermalconductivif of the composite rod will be :,K1T2T1K1BT2T1K2BU{-ddK1 K2Kl K2(1)223(K1 K2(2)2(3)(4)12.qri(2))K1 K2(4)2(K1 K2)2(K1 K2)d g;o qqfqqq *-x vrtt.rierrt@20vKi K210v40vt,20v 40v10v30v20vI30v)(")40v20trrrcqm ijTr vt a1eqril0)dr{qiMq1 3Tfncer{{aldtrtds,r w{vnt,(1) 2Q)1(3) 44.o.s(4)adi tw ffie aer erg d rdf srdR f*-q q-snl{qTrqr qti t r t, {e qrtaq 6I eTrq-ff- . frn drrqrr :(1)(2)(3)(!)Minimum work is required to move q inMarimum13.is required lo move qirThe ratio of wavelengtfu of the last line of Balmerseries and the last lhe of Ljst(1) 2(z.l,r7u ) 0.5I-tr4bILl,l0l\\.Young's double slitexpe rlment LS fust performed inair and then in a medium other than air. It is foundthat 8ft bright fringe in the medi um lies n hele 5&d3f! fruge-Iie,rO air. The refractive index of 1.78rtorlfigure (b).d !-6a sTS d *r fur ffi erq L4.qreqq t t6qr qrdr t r qocrqr qrdr t f s, qs qp.aq {.f{ 'fd ktr lqhMaximum work is required to move q infigure (c).figure (a).r(qT(d)G)In all the four cases the work done is the A positi. charge is moved from A to B in each(d)(c)q1 3TfuqB410v 30v 10v10v:13. qqr ffi20BAt n n- iqrit*q 1etBr ttr dt, wrrqq,(1) eftu fr uflr ne E'rd 4''ra qgrn(z) sxtqri 3Tk{iitqqn .rdqmq&nr(3) eiRu tqtm 6de,''qflArT'(4) e to 1u) d e{f}r6,oc d 4-rqr q ny& erto qs30B(b)G)v 10v20v40v30"1lt l10vThe diagranrs belou, shon, regions of equipotentials.72B.1vLv2(3)AK. r- AK,Y-/'A3(K1 K2 )v1 Ir{)nearlyo}ta9n- t)aq,xD6oA---- / ---.7'.rd. .',ItgT&{tr

\615f*"s16ur al tcfrq qco 3Tr d rrfu 6r enq[q 3 cm t Is;r qd q-ur errfr q*a ftrifi z cm Efr w tfr t dss qqq gs* trr 6r qft'qrq, qs* diq * e{q{ dr15.itt) tr gs qlr sr erT-{frfld 1&is(1):\vE(1)1,6(2)( -4tr- /dJ5G*E(4)t sqrqftffilsFrit eil Effqr.rqrt700frEfufu( q aEiTf,qr-t16.Thermodynamic processes are indicated in thefollowing diagram.(700qr fr-q.r{ q1fii-ia#oc-r:qitm-zgfFrlIa. &IeI9!Fqrb. csrdqMatch the following'riqrfta elCercrd): )(1) 4 IiT,q6 qr rfr.(2) qi dsThft(3) t6,t(4) 2IilqdqihfrE-dT. -IA JLDZr:Column-2Column-1Adiabatica.P. Process IIsobaricb.Q. ProcessllIsochoricc.R. Process I11Isothermaid.Process fVS.(r\P-;a, Q- c, R d, S- b,.14- P- c, Q- a, R d, S- b(3)P rc, Q d, R- b, S- a(4)P- d, Q b, R a, S cffiiqrR-d*l q6M t qTnRril fuqr qrat r furtz0,sit Ed6r, ss sqf{, t, qqm{ Fq i ats taT6 Ss 3r-r snt}Rr6 sqTRT qgRqr qrm t r,it, gqq-fiR qq qRql-s ft.dTq r gid ftwfua rei (redK500 K300 Kc. .qq3lFrdk 'R. M-q Ud qErfffi-qs. 9r5q ry(1) P- a, Q'.)c, R-r d, S- b(2) P-- c, Q-- a, R--rd, S- b(3) P c, Q-;d, R-r b, S-,abl P--:d, e.9. 11-a. s-rc17.9,(-'"4rznE\J:2l,O2n500 K300 Ko.q- I4td x -.62ttrqrt -a srRsP.HiTT2r(1)fqA particle executessimple harmonic motionwith an amplitude of 3 cm. When the particle is at2 cm from the mean position, the magnitude of itsvelocity is equal to that of irs acceleration.- Then itstime period in seconds isJ5(3).J2dvJ1l(2){x17.a battery. The battery isremoved and ar-rolher identical uncharsed capacitorA capacitor is charged byisconnecredinp4#J"T-frofresultingsysfenr:(1)iGIf "-G.t-&Eti."n"rgyincreases by a factorof4decreases by a factor of 2tt \d L7@(3)remains the same(4increases bv a factor of 2

42(U 1y7\a .FrniEE"shsB18.*411-vx\- 5-6--Lr\\Q'xryt-.lq*frft.ffir wrf qdtEelnfttd 53250 x 10 -10t r d, 2536 x 10- 10 m ftr1ff qnftrfi y rvr anr *fr * p t firwrfua qdqfn ql(1)1sevstqlc 3 x 108The photoelectric18.wavelength 2536 xe(2) 0.6 x 106 ms ,3t(3) 6lx10rms-r i - !(4) 0.3 x 106 ms I-iZ),O,d36r,c arTr, iiEriqqiq- , liid- rrtfl qAffi 19.q-frt4lfu*fr,(1)(2)1?c2IF-dq fenro aqr e eni{)(4)20ctlq-t to-3lt6.6 xrPEof length that4",4rre6?.wlJt.')-u .\ha2G 2itwu i orqfrqft4oo Hz tr eft,6r Aq a o m/s td, E fr E,n qmoafrWtffE61?qhffiiftz(4)20.Hz448 Hz411.ffi3t{'\ 2I zoo 3lR rooo(2) 1s *{ 200(3) 1s0 3ik 15000(4) 20 3rtr 20002hncEg\, az4rlegeach other rr ith speed of 22 m/ s and 16.5 m/srespectively. The driver ofthe first car blows a homhaving a frequency 400 Hz . The frequency heardqi glriby the driver of the second car is [velocity ofsound(li\)m/sl:?50 IIzS u-i! --{,"tI 6"-6(2) 361H2 ,.kco f sse -)(3)111 FIz-1 \6 10 rqfrts EdrS-s. ?ii'qei !-s*j-d, i, furE6 fqii ' q1q {q-riaid tircu-dr e v t r eqraq, orcftriq s to tr qR qnr-eflq 100 frqT errtrR qlvfrtq z rc t iil, e-sels' 41 qi- il-dFd{ dqr yrtfiaFr .qns-qqr: fi:ce4.'--UtsLTwo cars moving in opposite directions approach340350 Hz361 Hz1G,) *LT'sfa24ne6YJ.'c c. (J,Lltgvdz"6 ar3S'ul t."r-a4ne6 ]FLG 4".qilL;tr!*tt%F l'(\t,is [c is velocity,*of light, C is universal constant of gravitation andLchargel1,li(1)( a-A physical quantity of the sT qler6 ErH qvrfl21.:-Lr1 tx ro-slc/2can be formed out ofc, G andqifofi'1A qrt' q1 qre'qiqyr: 22 m/s ff{T 16.5 m7s t r t dr,iffiqfro f vpir q* qst "r eti v rfr t r {6d qn(1)(2)(3)(4)m is 0.3 x 106 ms -11/4rreo11G10 6x105ms-11 /2-2(,t G,7-e isL(3)10Tr 0qi dETi 61 tr (qti'c - !r6M s'r trr,G - T-{if,mold wavelength of silver isiq\Xt q07 (2) 06 106ms-1(3) -61 x103ms-1 5x10sms-1z(Given h 4.14 x 10-15 eVs and c 3 x 108 ms-1)v19.110 10 m. The velocityg[gCebsf onsreeE!from a silver surface by ultraviolet light ofioms-1)thr:?A3250 x)trdfi,(h 4.14 x 10-o *x r l(711 X xzr2d448Hz\3r8 /\\1x/uY9\27signal voltageand the base resistance ispo-". tu,grqlllqqt4plifier(1)200 and 1000(2)15 and 200.v(4)Thethe voltage an{ls:ioo -&*;7x1,150 and 1500020 and 2000V.collector\i b)-tou

A22.8ftqifrd BrUf di fu'sTds errrf frmqrcqtWhich one of the following represents; forwartbias diode ?22.t/OV(1)zs.,-2YRQ)-4VR(3)-2VR 2y(4)3VR5Vq ft:fu(oqfilOV/rtIEs l fr-{t ry ftqr .rqT t tffi61 EqEA sr qJcrd"rt1:2:a Br {t tri .irtt 1 ffi mq i !H c{,(1)(2)(3)(4)@1:6 t:91 :11"t:'t4i"lDlIt- rl - 3f ar .rar(LIfrqi' t-{& fre fu & geY 2km 1kmkmd2d 2kmR 2y(4)3VR5VA spring of force constant k is cut into lengtls oratio I : 2 : J. fhcy are corurected in series and th,new fo M e!tE!4!Lirk- Then they are comected irparallel and force constant is k". Then k, : k,, is(1)7:6 k-.f-l-- tr'L- tt k(2)7:9lhu6L6v1:11(4) :1.4,o,. iI{, ,j,-xtFgotC)\ooOR gateI(4)25.fetqqr t', ,ir:sT crq qfr:,ilY .ONOR gateetq? ! oooAND gate@wak.-The given electrica I neMork is equ ivalent to(1)fut n vei &' qtal a .rad-2YBfu5e t r m fu(3)IBAND tA-?\/-14s)Y(1)R,6\(2423.qdrqc q;l 6qrfr furrrfi k, dEr qqrfr{ sq d qtsi c{t" t r d. 3r{crd k" Arn .kI\I(2)qr qqrfr ftqir6Ro\oNOT gateThe acceleration due to gravity al a height I knabove dreearth is t}csameas at d depth d Lloffi,surface of carti.(1)a 1 km(2)d 1km(3)2a 9t*2d 2kmThcn:fru-*),fi(,-*)19.-K.Nt!k

26.A9triilEEns-Ehlfr4if6-d ser.iidt qtl teq-{ v rt26.?(u) ffi1u)G)Which of tle following statements are correct?ft's6r{Ec{&- eihw rqqqn - et-e 9q6166 6,G)Centre of mass o{ a body alrvays coincidesffi(b)Cenhe of mass of a body is the point at whichthe total gravitational torque on the body iszero.xtr-sq'rEqqn*- qEfr3tsEtq{fise'n5 lrs a-o e q,l rp trffitieqre.nqogrr,svternr fuWfu, *n s-fi{ q1.rfr :.sa *-rm t wG)r(d) qiBr*, orq 6T cn qs (r) t efer*. Ai 6lmrcd T t ts q''c effirg t eftrs qr{ Tdr.iTqr rr 'mt(d)with the cenhe of gravity of the body.A couple on a body produce botlt".translaiional and rotational motion in aborlyl Mechanical advantage greater than onemeans tlat small effort can be used tolarge load.liftar(b) and (d)(1)(b)(2)(a) aut @)(3)(b) ner (c)(4)27(c)ffrinu(d)* q ffi 6T-ii is{ i ror } t,gqr6i 3q*rr q6tffi-{ of qih fuqr qldr t t qftirq (ftmrq) rn f -qr rrqr 4.r{ ro I dw g,e t er*tfuo s-st fi qrq n 'Eq(2)soJ(3)(4)28t1J(a) and (b)(3)(b) and (c)(4)(c)and (d)(d)sqr r* 6(1)(2)tit,fcq27A carnot er.oine having an efficienry o{from thee0l(4)100 JcoPo cot20, cotzOz(.2)tan20: tan20, 28oE,loh(3) eeJDJ&tto 9,4.,.I(1) 1l r"looA(1)as heat*engine, is used as a retrigerator. Iftheworkdone"nthe system is 10 J, thEl-amoGT-ol energv absorbedmqqf(, s4'(qt t alq- d. t seqi* q-ddr C i rd3Trqrsl TT{ (rfd) q}oT o, am ert dt, dTFrfufi nrHqlq o qi qn frs efr lq t qrq ?hr z1Zr-g% va .Quo,Iw100l-q\DFQL 10If 0r and e, be the apparent angles of dip obsewedin two vertical planes at right angles to each other,then the true angle of dip 0 is given by :cot2o cot2o, cot2oz:(2)tan2o(3)cot20 cot20.,({)tan20 taa20,tan2o, tan2oz--cot2Ortan2oz

A10qdIHhdr-Ensisnlq*q en ql Ti{frl'qqr {qqro(yts)tr i nn w tcr**, ora- qt 3t{*qi q'y ft.'qaurc q6 A R{Tr i !-sGd d tfr t r etfii stq i tun, an's' a1 cft q ( ee( woqi qrd qo r'rftqrq rrn ,29eTR dBAl arrangement of three parallel straight Ia,ilesplaced perpendicular to plane of papei carryingsame cuuent'I' along the same direction is shou,nin Fig. Magnitude of force r uniton the rt q1mi Idle wire'B' is given byBCC90"90'dd(1)l!{(1)ZlLol(2)nDpoi2te hlaolroi2/adttiftriqq It-er {q3Tqi 3r- ftqiqnffii 3mftqr i ilt atThe twoI(1) fi rtfr-(1)(2)(3)(4)en r ftru, ar 1.41 x 10-8 T2.83 x 10 -8 T0.70 x 10-8 T4.23 x 10-8 Tgz. ffitt:(1)tlPB31.(3)3pp(4):keep floating at the same distance betweenthem.mean s uare value of the electric field isE.-. : 6V/m. The peak value of the magnetic fieldls:1.41 x 10-8 T(1)6(2.83x10-8 TD(3) o.Z0x10-8 Tpar tt v{O -A(4) 4.23 x 10 -8 xs,-B(2)is B. lf itisnilt3gttoaal-spherica I objectniiorrnfiffip'.s.ubjected to ,decrease in radius is3pBavitational freethei sIn an electromagnetic wave in free space the rootB(2)will.6ftftqfq-sE.r Brr{dr!-sR{rdrlun-s',8,Wq{ gs-scH qc[,p' drrHr qrdr t I d,E{Isl fr-qr qfqxrs*.qfratrft:rrdld /ove towards each other.(3) move away from each other.(4) will become stationary.Tft' f61rem ( snsT{r) d, ffii t{qd Eq*lq irtr dfuST drr qr eri qtts-W cFr, E.,* 6vlmitgw*i .l r(4) qqf, ir31:2space after having lost contact with:(1) kese{ qtq alqfr(2) no do1 ehTlro*tir(3) F qRt6vrltr"DITwo astronauts are floatingqrmTTAAilrrdr:.ddt er ftemrlTrif q.r30I1"l"r{2J2v,,i2(3)Jz ndd9 c-zltorrrdrrd(3)22rd2rd(2)(4)PorAr- .@ 3b

lFiAi;E"dbhlJJA11m,*{trtd,rmnr 61q-6T{fr-q\1 4ooo A stt rr:eooo Aqc{ rfi 61 ftr}q{ qTqdr3t sr er5crit33.\z c qqqr{ 41 Edtffi(3)t4)35.8:27e:43:2(i) lool(i) 10J ,qmrffiq450sE Yrk s'ri(ji)8.7s(ii)EforsT *1(l)(2)Tqcfrtlrar qR qs 1soox qt35.f{q dlf qr sTq n]looo1800g 1 e w n * qqqn, rwl: 3m nrIT m t t ioTr,rq t q6Eqqr{d-{, 3rfqiFq Btn' i ggt t 5s ttfiTq q1, 3Tft-q t {tE.,rt u-gwr q6 Eqqmtlrdfurr (qqrfi ) ani errorqr.rqr t r d-0 1 erc ti &'gr !rqr( A elR n S iflq * r{kq]!,r E}i rqT' ,dt(r)(2)(l/,ndrop.ofrain wa ter having massaLJ r-r0l (ii) -s.,.(U r.251 (ii) -8.2sJ(ii) 8.75I(n too l(i) loJ(nt -875)(i)!s(3)(4)falling2lO*:,( \0 x lD---i(Y(2t 4so(3) looo--6 rsoo36.:f'X t\ ,)lkflL(r) zz5\ro'1Two blocks A and B of masses 3m and m respectivelyare connected by a massless and inextensible sfuing.The whole system is suspended by a masslessspring as shown in figure. The magnitudes ofacceleration of A and B immediately after the stringis cut, are respectively3mm(2)19ae-:pheI53lQlegL body with a radius of 12 cmradiates 450 wattpower at500 K. If the radius weremz0,70 m/s2 . The work done by the (i) avitationalforce and the (ii) resistive force of air ls3mc,nOheight&1Lm. It hits the ground with aspeed of 50 m/s. Take'g'constant with a valuefrom\wY(1)r-l.Oradiated in wattwould be450(4)6?Ihalved and the temperature doubled, the po35:rs tdd22q(3)Lo e"r16:81Consid er8.7sJt*qt rz cm tr fi34.j3Trtlr (1/2) Her frrc l a I{r qrIifu *.r qn qre q tr.n :36t qfr dr S-6{ , r km #sr{t srk \-ild so m/s 1 vre r rd trqR'g' E]IqFI 10 m/s, ftll{ GA, (, IEdq 4f, dln(ii) Erg Yfdqm qo gnr t*qr rrqr rd t}tn :(1) (i) -101 (ii) -8.251(2) (i) 1.25J (ii) -8.2sI1owers of an o gtical 4000 A andThe ratio of resolvinmicroscope for two wa(1)oqo,3,v!zc,c(3)i',(4):V!:

AHlndi English12tQt{5e r, aw r,, air*nguror rr r t f .,fl"i37.Two Polaroids P, andt 6ran(t r r, vt wvfrn oqF o r m*1 frrm 6 tr t, oitr r,r* d-a t qs srq qttr{s(1)I (1) ;,{4anP(24IoIoffiis?\ ?Lata-LIoIoI (3)(3) ;38IoP, arrd P, such that its axis makes an angle45' with that of Pr. The intensity of transmitted Iightthrough P, is :6:8IoIo(4\thet axis-betweentur qtn t to qs 1 q e, 1 oart45" ql slq ffirfr t r fr, r, t vn ra r m *1 fi*or\z)are placed withincident on Pr. A third polaroid P, is kept inr rr,, 1geP2perpendicular to each other. Unpolarised lighterq gTrrq(4)16EE'] qR-{rfd-6r 61 qiq s.1 m} {irq m1eqr2xro4} Hfgft trrar tr ssh. * qrfrqr arn roo i;rJ erd qs 1ffi gv r nrql tf6 n sl qqr {qrft t r qffi l t v-qrRnai sraft frgd srqfl cH qm fuR t i o'q dm qnr0.0r m76A{-38VvA long solenoid of diameter 0.1 m has 2 x 104 tumsper meter. At the centre of the solenoid, a coil of100 turns and radius 0.01 m is placed with its axiscoinciding with the solenoid axis. The current inthe solenoid reduces at a (onstant rate ts-.]QA-Eom4A rn0.05s. [f the resistance of the coilt)s 10rr2O,tttiioGkl.src9-09f:t*g through t}ecoiJ during thist q d vrar tr vF , ffi ei r].sfrtq to,,.zo t i, qs q rro d ffi t n-qTftfr KL timeis:4Kt *rgnenlvr(1)Q)(3)(4)39Atr fr ao.osdtn32r16pCBA ,.rfort i xA(1) 32npC --M:p.CvJ Lr x l0-32 p"CJZ). 32 p"Cfi9,9-(qB-mFilli's-6 it e r*r t* eqqqtqTqlt srTqqgt ' q{il reqrl-3fi-fi ffifud3ih Ef*-mr - t fi I-wrfr t ' cftd':, FrI{r: o, ur r, M t r t 1,h ot rfr t r {l- 1 q W\ eqcSu qs ron qq& t mq qrar t fu', t{- i wt{ers{d qrfr t r fr, qq !-sq t s-qi-sr-c }. fuEaiq- .drn:srq,ffi(1)16pC/16n *Cffii9,154)!'lP,L -'n,v-(z)(3)I(or- 1)2-,, )'(4) {., -,,)'Jx?Lxti1 'tulL,e. ?l ,8\I-hll'"b&',J,.1bolwtu'*tugLi IuLTwo discs of Eame mornent of inertia rotating aboultheir regulai axis passing through centre andperpendicular to the plane of disc with angularvelocities or, and or. They are brought into contaclface to face coinciding the axis of rotation. Th expression for loss of energy during this process isr(1)(72L t @r ,2)21 t (.,39A XA .J/12I (.o, o,1.y) i I(3)(4)Wt"-A(1I (o,(o1- o2)2cor)2I crrr8- {-)2t0,. )Do, Lto,-f,] -

k[ x (O --k'fl- p\x13 Ii;airEnsrsn40qsffi ta {H q( qs&et(E-dfr Rtd )* r qeiAIreached tJre metuo station and found that theescalator was not working. She walked up thestationary escalator in time tr. On other days, if sheremains stationary on the moving escalator, thenthe escalator takes her up in time t2. The time takenby her to walk up on ttre moving escalatot will be :40.ffi, ss 1 rftHi qi tee sc{ q6fi t r wd sSd qs qw'-&ar qd {6r drq vw vrrar t r erqt ae eese w e rt r, q v t uw q qdt fr , w* ERT TdA Eq qsde{ c{ Tdm"{ su{ q.6iqrHtfuqlrqqqqfrrn;t-t t2(1)t12(2)(3)t. t"-tut tttz,,(1)A\ dtq ttr. b IW*t22tttztz - t'ttttz(2)h\e ----.,,\ xTx lfl- 1* ,/P\/e-'t2 t1t,,(4) tr-tz(4) tr- tz {t - 1i,t -r-.L,4linder of mass47. qqffi fufu r 6r Eqqi

(1) Q) (3) (4) 5 N (3) 2.3 pI 1-A 250 -t erd sfi sTrqtr n i*e-e1 *1 qqr{ z.r cm aqr ffi 1.2s cm tt qcQ ss pa *1 f gd qrr s-qrf6a d tr Eq rR 0.8s r fi-fdr 6T qs-Eq iq d-* qfifud f*qr qrdr t r fr, qe qqgi * frra w 1ffi B' rao' t gqri ffi snqr ' m,r{ sl qfr d,n, 5. 5. 9.1*J 4.55 p i 2.3 r" J 1.15 p J E K 9 vo 1 z \'z-.t (4) r.t

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