A H$ / Marks. g 3 K Q>o Time 3 Hours. àíznwpñvh$m H«$ m H$/ Question Booklet Sr. No. narjm{w m Ho$ {be {ZX}e /INSTRUCTIONS TO CANDIDATE

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1 PAPER- PCM AZwH«$ m H$ / Roll No. CÎma-erQ> H«$ m H$ / OMR Answer Sheet No. àíznwpñvh$m H«$ m H$ Question Booklet Sr. No. àíznwpñvh$m H$moS> AA Q. Booklet Code KmofUm : / Declaration : Zo n îr> g» m na {X o J o {ZX}em H$mo n T>H$a g P {b m h & I have read and understood the instructions given on page No. narjm Ho$ÝÐmÜ j H$s moha Seal of Superintendent of Eamination Centre narjmwu H$m hñvmja /Signature of Candidate (AmdoXZ nì Ho$ AwZgma /as signed in application) H$j {ZarjH$ Ho$ hñvmja /Signature of the Invigilator narjmwu H$m Zm / Name of Candidate : narjmwu H$mo {X o n amj«m $ H$s ZH$b ñd H$s hñv{b{n ZrMo {X o J o [a³v ñwmz na ZH$b (H$m nr) H$aZr h & ""Amn ghr ì dgm h, h Amn V^r OmZ Jo O~ : Amn H$m na OmZo Ho$ {be qm{vv h, Amn {ZË AnZm H$m g~go AÀN>m H$aZm MmhVo h, Am a Amn AnZo H$m Ho$ hëd H$mo g PVo h &'' AWdm / OR To be copied by the candidate in your own handwriting in the space given below for this purpose is compulsory. You will know you are in the right profession when : you wake anious to go to work, you want to do your best daily, and you know your work is important. * Bg n îr> H$m D$nar AmYm ^mj H$mQ>Zo Ho$ ~mx drjh$ Bgo N>mÌ H$s OMR sheet Ho$ gmw gwa{jv aio& * After cutting half upper part of this page, invigilator preserve it along with student s OMR sheet. nwpñvh$m win îr> g{hv n îr>m H$s g» m No. of Pages in Booklet including title PAPER- PCM g K Q>o Time Hours àíznwpñvh$m H«$ m H$/ Question Booklet Sr. No. A H$ / Marks 600 nwpñvh$m àízm H$s g» m No. of Questions in Booklet 0 AZwH«$ m H$ / Roll No. narjmwu H$m Zm / Name of Candidate : narjm{w m Ho$ {be {ZX}e /INSTRUCTIONS TO CANDIDATE Aä {W m hovw Amdí H$ {ZX}e : Instructions for the Candidate : H$j {ZarjH$ Ho$ hñvmja /Signature of the Invigilator. Amo.E.Ama. CÎma n{ìh$m Jmobm VWm g^r à{dpîq> m H$mo ^azo Ho$ {be Ho$db Zrbo m H$mbo ~mb ßdmB Q> noz H$m hr Cn moj H$a &. SECURITY SEAL ImobZo Ho$ nhbo Aä Wu AnZm Zm, AZwH«$ m H$ (A H$m ) Amo.E.Ama. CÎma-erQ> H$m H«$ m H$ Bg àíz-nwpñvh$m Ho$ D$na {X o J o ñwmz na {bi & {X do Bg {ZX}e H$m nmbz Zht H$a Jo Vmo CZH$s CÎma-erQ> H$m yë m H$Z Zhr hmo gho$jm VWm Eogo Aä Wu A mo½ Kmo{fV hmo Om Jo&. àë oh$ àíz Mma A H$m H$m h & {Og àíz H$m CÎma Zht {X m J m h, Cg na H$moB A H$ Zht {X m Om ojm& JbV CÎma na A H$ Zht H$mQ>m OmEJm& 4. g^r ~hþ{dh$ënr àízm EH$ hr {dh$ën ghr h, {Ogna A H$ Xo hmojm&. JUH$, bm J Q>o{~b, mo~mbb $moz, Bbo³Q >m {ZH$ CnH$aU VWm ñbmbs> ê$b Am{X H$m à moj d{o V h & 6. Aä Wu H$mo narjm H$j N>moS>Zo H$s AZw {V narjm Ad{Y H$s g mpßv na hr Xr Om ojr& 7. {X {H$gr Aä Wu Ho$ nmg nwñvh $ m AÝ {b{iv m N>nr gm J«r, {Oggo do ghm Vm bo gh$vo/gh$vr h, nm r Om ojr, Vmo Cgo A mo½ Kmo{fV H$a {X m Om gh$vm h & Bgr àh$ma, {X H$moB Aä Wu {H$gr ^r àh$ma H$s ghm Vm {H$gr ^r ómov go XoVm m bovm ( m XoZo H$m m bozo H$m à mg H$aVm) hþam nm m Om ojm, Vmo Cgo ^r A mo½ Kmo{fV {H$ m Om gh$vm h & 8. {H$gr ^r ^«H$s Xem àíz-nwpñvh$m Ho$ A J«oOr A e H$mo hr ghr d A {V mzm Om ojm& 9. a $ H$m Ho$ {be EH$ Imbr sheet g ½b½Z h & 9. One blank sheet for rough work is also enclosed. 0. OMR sheet Bg Paper Ho$ ^rva h VWm Bgo ~mha {ZH$mbm Om gh$vm h naývw Paper H$s grb Ho$db nona ewé hmozo Ho$ g na hr Imobm Om ojm& àíznwpñvh$m H$moS> AA Q. Booklet Code. Use BLUE or BLACK BALL POINT PEN only for all entries and for filling the bubbles in the OMR Answer Sheet.. Before opening the SECURITY SEAL of the question booklet, write your Name, Roll Number ( In figures), OMR Answer-sheet Number in the space provided at the top of the Question Booklet. Non-compliance of these instructions would mean that the Answer Sheet can not be evaluated leading the disqualification of the candidate.. Each question carries FOUR marks. No marks will be awarded for unattempted questions. There is no negative marking on wrong answer. 4. Each multiple choice questions has only one correct answer and marks shall be awarded for correct answer.. Use of calculator, log table, mobile phones, any electronic gadget and slide rule etc. is strictly prohibited. 6. Candidate will be allowed to leave the eamination hall at the end of eamination time period only. 7. If a candidate is found in possession of books or any other printed or written material from which he/she might derive assistance, he/she is liable to be treated at disqualified. Similarly, if a candidate is found giving or obtaining (or attempting to give or obtain) assistance from any source, he/she is liable to be disqualified. 8. English version of questions paper is to be considered as authentic and final to resolve any ambiguity. 0. OMR sheet is placed within this paper and can be taken out from this paper but seal of paper must be opened only at the start of paper.

2 PAPER- Physics : Q. to Q. 0 Chemistry : Q. to Q. 00 Mathematics : Q. 0 to Q A small bead of mass M slides on a smooth wire that is bent in a circle of radius R. It is released at the top of the circular part of the wire (point A in the figure) with a negligibly small velocity. Find the height H where the bead will reverse direction. PHYSICS / ^m {VH$emñÌ 00. EH$ M Ðì` mz H$m N>moQ>m ZH$m EH$ {MH$Zo Vma na { $gbvm h & `hm± Vma EH$ R {ÌÁ`m Ho$ d Îm Ho$ ^mj Ho$ ê$n w S>m hþam h & ZHo$ H$mo d {Îm` ^mj Ho$ {eia ({MÌ q~xþ A ) go ZJÊ` doj go wº$ {H$`m OmVm h & dh D±$MmB H kmv H$amo Ohm± ZH$m AnZr {Xem nbq>vm h & R R R R 00. Two persons A and B start from the same location and walked around a square in opposite directions with constant speeds. The square has side 60m. Speeds of A and B are 4m/s and m/s respectively. When will they meet first time? 0 sec 0 sec 0 sec 40 sec R R R R 00. Xmo ì`{º$ A VWm B EH$ hr OJh go EH$ dj na {dnarv {XemAm AMa Mmbmo go MbZm àmaå^ H$aVo h & dj H$s ^wom 60m h, A VWm B H$s Mmb H«$ e 4m/s VWm m/s h & do nhbr ~ma H$~ { b Jo? 0 sec 0 sec 0 sec 40 sec -AA ] [ ] [ Contd...

3 00. A tire of radius R rolls on a flat surface with angular velocity ω and velocity ν as shown in the diagram. If ν > ωr, in which direction does friction from the tire act on the road? 00. EH$ R {ÌÁ`m H$m n{h`m g Vb gvh na H$moUr` doj ω VWm doj ν go {MÌmZwgma bw S>H$ ahm h & `{X ν > ωr Vmo Q>m`a Ûmam g S>H$ na Kf U {H$g {Xem bjojm? Towards the left Towards the right Towards downwards Towards upwards 004. Consider one dimensional motion of a particle of mass m. It has potential energy U = a + b where a and b are positive constants. At origin ( = 0) it has initial velocity ν 0. It performs simple harmonic oscillations. The frequency of the simple harmonic motion depends on b alone b and a alone b and m alone b, a and m alone 00. The postulate on which the photoelectric equation is derived is electrons are restricted to orbits of angular momentum n h π where n is an integer. electrons are associated with wave h of wavelength λ = where p is p momentum. light is emitted only when electrons jump between orbits. light is absorbed in quanta of energy E = hυ 006. A layer of oil with density 74 kg/m floats on water of density 000 kg/m. A block floats at the oil-water interface with /6 of its volume in oil and /6 of its volume in water, as shown in the figure. What is the density of the block? ~m`t Va $ Xm`r Va $ ZrMo H$s Va $ D$na H$s Va $ 004. EH$ m Ðì` mz Ho$ H$U H$s EH$ {d r` J{V na {dmma H$s{OE & BgH$s pñw{vo D$Om U = a + b h Ohm± a VWm b YZmË H$ {Z`Vm H$ h & yb {~ÝXþ ( = 0) na BgH$m àmapå^h$ doj ν 0 h & `h gab Amd {V J{V H$aVm h {OgH$s Amd {V {ZåZ na {Z^ a H$aVr h Ho$db b na Ho$db b VWm a na Ho$db b VWm m na Ho$db b, a VWm m na 00. àh$me {dúwv g rh$au {ZåZ go {Og A{^J hrv (H$ënZm) na ì`wënýz H$s JB h dh h : BboŠQ moz Ho$db CÝht H$jH$m ah gh$vo h {OZ H$moUr` g doj n h hmo VWm π n EH$ nyumªh$ h & BboŠQ moz go g ~Õ Va J H$s Va JX Ü` h p λ = h Ohm± p g doj h & àh$me V^r CËnÞ hmovm h O~ BboŠQ moz EH$ H$jH$ go Xÿgao Hy$XVm h & àh$me H$m AdemofU D$Om Ho$ ³dm Q>m E = hυ Ho$ ê$n hmovm h & 006. EH$ Vob H$s nav {OgH$m KZËd 74 kg/m h & `h 000 kg/m KZËd dmbo Ob Ho$ D$na V a ahr h & EH$ ãbm H$ Vob-Ob AÝVg Vh na {MÌmZwgma Bg àh$ma V a ahm h {H$ BgH$m /6 Am`VZ Vob VWm /6 Am`VZ Ob h Vmo ãbm H$ H$m KZËd Š`m hmojm? 776 kg/m 94 kg/m 04 kg/m 76 kg/m 776 kg/m 94 kg/m 04 kg/m 76 kg/m -AA ] [ ] [ PTO

4 007. A string fied at both ends has a standing wave mode for which the distances between adjacent nodes is 8cm. For the net consecutive standing wave mode distances between adjacent nodes is 6cm. The minimum possible length of the string is 88 cm 7 cm 44 cm 04 cm 008. A wire loop that encloses an area of 0cm has a resistance of 0Ω. The loop is placed in a magnetic field of.4t with its plane perpendicular to the field.the loop is suddenly removed from the field. How much charge flows past a given point in the wire? C.4 0 C. 0 4 C 0 C 009. A right isosceles triangle of side a has charges q, + q and q arranged on its vertices as shown in the figure. What is the electric potential at point P midway between the line connecting the + q and q charges? 007. EH$ añgr XmoZm {gam go O S>dV h VWm EH$ AàJm r Va J {dym H«$ mjv {ZñnÝXm Ho$ Ü` Xÿar 8cm h & AJbr H«$ mjv AàJm r Va J {dym H«$ mjv {ZñnÝXm Ho$ Ü` Xÿar 6cm h & añgr H$s Ý`yZV bå~mb hmojr 88 cm 44 cm 7 cm 04 cm 008. EH$ Vma H$m byn Omo {H$ 0cm H$m joì $b n[a~õ H$aVm h VWm BgH$m à{vamoy 0Ω h & Bg byn H$mo.4T Ho$ Mwå~H$s` joì Bg àh$ma aim OmVm h {H$ BgH$m Vb Mwå~H$s` joì Ho$ bå~dv hmo& A~ byn H$mo Mwå~H$s` joì go EH$mEH$ hq>m {X`m OmVm h Vmo Vma (byn)ho$ {H$gr q~xþ go {H$VZm Amdoe àdm{hv hmovm h? C.4 0 C. 0 4 C 0 C 009. EH$ g H$moU `wº$ g {Û~mhþ {Ì^wO {OgH$s {MÌmZwgma ^wom a h VWm Bg na Amdoe q, + q VWm q BgHo$ erfm] na {MÌmZwgma ì`dpñwv h & Amdoe +q VWm q H$mo OmoS>Zo dmbr aoim H$m Ü` q~xþ P h Vmo q~xþ P na {dúwv {d^d {H$VZm hmojm? q πε 0 a q πε o a q πε o a q πε o a 00. Shown below is a graph of current versus applied voltage for a diode. Approimately what is the resistance of the diode for an applied voltage of.v? q πε 0 a q πε o a q πε o a q πε o a 00. ZrMo {X`m J`m J«m $ S>m`moS> Ho$ {be Ymam (current) VWm Amamo{nV dmoëq>vm (voltage) Ho$ Ü` ~Zm`m J`m h & Amamo{nV dmoëq>vm.v Ho$ {be S>m`moS> H$m à{vamoy bj^j {H$VZm hmojm? Zero Ω Ω eyý` Ω Ω -AA ] [ 4 ] [ Contd...

5 0. A sound wave is generated by the howl of a wolf in the night. How would we describe the motion of a particular air molecule near the ground, a mile away from the wolf, on average (i.e. ignoring the random wandering of gas molecules)? It moves up and down in an oscillating fashion It moves away from the wolf at the speed of sound It moves back and forth (oscillating) towards the wolf It moves in the horizontal circle. 0. Which of the following Material has lowest resistivity? Constantan Silver Manganin Copper 0. An incompressible non viscous fluid flows steadily through a cylindrical pipe which has radius R at point A and radius R at point B farther along the flow direction. If the velocity of the fluid at point A is V, its velocity at the point B will be V V V/ 4V 04. In a room where the temperature is 0 C a body cools from 6 C to 9 C in 4 minutes. The time taken by the body to cool from C to 49 C will be about 4 minutes 6 minutes minutes 8 minutes 0. A student s 9.0 V, 7.W portable radio was left on from 9:00 P.M. until :00 A.M. How much charge passed through the wires? 6000C 000C 8000C 4000C 0. EH$ ^o{ S>`o H$s VoO AmdmO Ûmam am{ì EH$ Üd{Z Va J CËnÝZ H$s OmVr h (`hm± J g AUwAm Ho$ `mñpàn>h$ ^«U H$s Cnojm H$aVo hþe) ^o{ S>`o go EH$ rb Xÿa O rz na pñwv EH$ hdm Ho$ H$U H$s J{V Am gv ê$n go {H$g àh$ma àx{e V hmojr? `h D$na ZrMo EH$ XmobZr ê$n J{V H$aoJm & `h ^o{ S>`o go Xÿa H$s Va $ Üd{Z H$s Mmb go J{V H$aoJm& `h ^o{ S>`o H$s Va $ AmJo nrn>o (XmobZr) J{V H$aoJm & `h EH$ jo{vo d Îm J{V H$aVm h & 0. {ZåZ go g~go H$ à{vamoyh$vm dmbm nxmw h H$m ñq>ozz Mm Xr ¾tZ Vmå~m 0. EH$ Ag nrs>ç Aí`mZ Ðd EH$ ~obzmh$ma nmbn go gvv ê$n go ~h ahm h & BgHo$ ~hmd H$s {Xem Ho$ AZw{Xe q~xþ A na Ðd H$m doj V h & q~xþ A na nmb n H$s {ÌÁ`m R h VWm Ðd àdmh H$s {Xem XÿañW q~xþ B na nmb n H$s {ÌÁ`m R h Vmo q~xþ B na Ðd H$m doj Š`m hmojm? V V/ V 4V 04. EH$ H$ ao H$m Vmn 0 C h Bg EH$ dñvw H$mo 6 C go 9 C VH$ R>ÊS>r hmozo bjm g ` 4 { ZQ> h & dñvw H$mo C go 49 C VH$ R>ÊS>r hmozo bjm g ` bj^j hmojm 4 { ZQ> 6 { ZQ> { ZQ> 8 { ZQ> 0. EH$ N>mÌ H$m 9.0 V Ed 7.W H$m EH$ ao{s>`mo 9:00 P.M go :00 A.M. VH$ Mmby ahvm h Vmo Vma Ûmam {H$VZm Amdoe àdm{hv hþam? 6000C 8000C 000C 4000C -AA ] [ ] [ PTO

6 06. A conducting wheel rim in which there are three conducting rods of each of length l is rotating with constant angular velocity ω in a uniform magnetic field B as shown in figure. The induced potential difference between its centre and rim will be 06. EH$ n{he H$s MmbH$ n[a{y na {MÌmZwgma VrZ MmbH$ N> S>o EH$ g mz Mwå~H$s` joì B AMa H$moUr` doj ω go KyU Z H$a ahr h & àë`oh$ N>S> H$s bå~mb l h & n{h`o H$s n[a{y d H $Ð Ho$ Ü` CËnÝZ ào[av {d^dmýva hmojm 0 Bωl Bω l Bωl 07. An imaginary, closed spherical surface S of radius R is centered on the origin. A positive charge +q is originally at the origin and electric flu through the surface is Φ E. Three additional charges are now added along the ais: q at = R, + q at = R and 4q at R =. The flu through S is now Φ E 6Φ E 4Φ E 7Φ E 08. An 800 W toaster, a.kw electric fan and a 00W lamp are plugged in the same 0V circuit i.e. all the three devices are in parallel. What is the approimate value of the total current (i.e. sum of the current drawn by the three devices) through circuit? 8A 40A 7A 0A 0 Bωl Bω l Bωl 07. EH$ H$mën{ZH$ JmobmH$ma ~ X gvh S H$s {ÌÁ`m R h {OgH$m H $Ð yb q~xþ na h & nhbo EH$ YZmË H$ Amdoe +q yb q~xþ na aim hþam Wm VWm gvh go nm[av {dúwv âbšg Φ E Wm& A~ VrZ A{V[aº$ Amdoe Aj Ho$ AZw{Xe {ZåZ Vah go aio OmVo h q Amdoe = R na, R +q Amdoe = na VWm 4q Amdoe na h & A~ gvh S go nm[av âbšg hmojm Φ E 6Φ E 4Φ E 7Φ E 08. EH$ 800 W H$m Q>moñQ>a, EH$.KW H$m {dúwv n Im d EH$ 00W H$m ~ë~ H$mo 0V Ho$ EH$ hr n[anw bjm`m OmVm h AWm V `o g^r VrZm `w{º$`m± g mýva H«$ h & n[anw go Hw$b àdm{hv Ymam (AWm V VrZm `w{º$`m Ûmam br JB YmamAm H$m `moj) H$m mz bj^j hmojm? 8A 7A 40A 0A -AA ] [ 6 ] [ Contd...

7 09. Four very long current carrying wires in the same plane intersect to form a square 40.0cm on each side as shown in the figure. What is the magnitude of current I so that the magnetic field at the centre of the square is zero? 09. Mma bå~o Ymamdmhr Vma EH$ hr Vb h VWm EH$ dj H$s àë`oh$ ^wom 40cm ~ZmVo hþe {MÌmZwgma à{vàn>ox H$aVo h & dj Ho$ H $Ð na Mwå~H$s` joì eyý` hmozo Ho$ {be Ymam I H$m n[a mu {H$VZm hmozm Mm{hE? A A 8A 8A A A 8A 8A 00. If the current in the toroidal solenoid increases uniformly from zero to 6.0A in.0μs. Self inductance of the toroidal solenoid is 40μH. The magnitude of self induced emf is 4V 48V 80V 60V 0. An electron is at ground state of the H atom. Minimum energy required to ecite the H atom into second ecited state is 0.eV.4eV.6eV.eV 0. A particle enters uniform constant magnetic field region with its initial velocity parallel to the field direction. Which of the following statements about its velocity is correct? (neglect the effects of other fields) There is change only in magnitude There is change only in direction There is change in both magnitude and direction There is no change 0. Magnetic susceptibility of diamagnetic materials is of the order of (SI units) to EH$ Q>moamoBS>Zw m n[azm{bh$m Ymam EH$ g mz ê$n go eyý` go 6.0A VH$.0μs ~ T>Vr h & Q>moamoBS>Zw m n[azm{bh$m H$m ñdàoah$ëd 40μH h & ñd ào[av {dúwv dmhh$ ~b H$m n[a mu h 4V 80V 48V 60V 0. EH$ H na muw Ho$ yb ñva EH$ BboŠQ mz h & H na muw H$mo {ÛVr` CÎmo{OV AdñWm CÎmo{OV H$aZo Ho$ {be Ý`yZV {H$VZr D$Om H$s Amdí`H$Vm hmojr? 0.eV.6eV.4eV.eV 0. EH$ H$U EH$ g mz Mwå~H$s` joì Mwå~H$s` joì H$s {Xem Ho$ AZw{Xe àmapå^h$ doj go àdoe H$aVm h & BgHo$ doj Ho$ ~mao H$m Zgm H$WZ gë` hmojm? (AÝ` joìm Ho$ à^mdm H$mo ZJÊ` m{ze) Ho$db n[a mu n[adv Z hmojm Ho$db {Xem n[adv Z hmojm n[a mu d {Xem XmoZm n[adv Z hmojm H$moB n[adv Z Zht hmojm 0. à{vmwå~h$s` nxmw H$s Mwå~H$s` àd {V H$s H$mo{Q> (SI BH$mB ) hmojr to +0 -AA ] [ 7 ] [ PTO

8 04. Magnitude of binding energy of satellite is E and kinetic energy is K.The ratio E/K is / / /4 0. Figure shows the total acceleration a = m/s of a moving particle moving clockwise in a circle of radius R=m. What are the centripetal acceleration and speed v of the particle at given instant? 04. goq>obmb Q> H$s ~ YZ D$Om H$m n[a mu E h VWm CgH$s J{VO D$Om H$m mz K h Vmo AZwnmV E/K hmojm / / /4 0. {MÌ {ÌÁ`m R=m Ho$ d Îm X{jUmdV Ky Vo hþe H$U H$m Hw$b ËdaU a = m/s h Vmo H$U H$m A{^Ho$ÝÐr` ËdaU d H$U H$s Mmb ν {XE JE ju na Š`m hmojr? 6m/s, 6m/s 6m/s, 4m/s 6 m/s, 4 m/s 6 m/s, 4m/s 06. A force F = 7N is applied on a block of mass kg along the fied smooth incline as shown in figure. Here gravitational acceleration g = 0m/s. The acceleration of the block is 6m/s, 6m/s 6m/s, 4m/s 6 m/s, 4 m/s 6 m/s, 4m/s 06. EH$ ~b F = 7N H$mo kg Ðì` mz Ho$ ãbm H$ na {MÌmZwgma pñwa {MH$Zo ZV Vb Ho$ AZw{Xe bjm`m OmVm h & `hm± JwéËdr` ËdaU g = 0m/s h & ãbm H$ H$m ËdaU hmojm s m downwards the incline s m upwards the incline 0 s m downwards the incline 0 s m upwards the incline 07. A kg object has initial velocity ^6it - tj hm/s. The total work done on the object if its velocity changes to ^8it + 4tj hm/s is 60J 0J 6J 44J m s ZV Vb Ho$ AZw{Xe ZrMo H$s Amoa m s ZV Vb Ho$ AZw{Xe D$na H$s Amoa m 0 s ZV Vb Ho$ AZw{Xe ZrMo H$s Amoa m 0 s ZV Vb Ho$ AZw{Xe D$na H$s Amoa 07. EH$ kg H$s dñvw H$m àmapå^h$ doj ^6it - tj hm/s h & `{X dñvw H$m doj ^8it + 4tj hm/s hmo OmVm h V~ VH$ dñvw na {H$`m J`m Hw$b H$m` hmojm 60J 6J 0J 44J -AA ] [ 8 ] [ Contd...

9 08. A heat engine absorbs 60J of energy by heat and performs J of work in each cycle. The energy epelled to the cold reservoir in each cycle is 60J 8J J 4.4J 09. Three nonconducting large parallel plates have surface charge densities σ, σ and 4σ respectively as shown in figure. The electric field at the point P is 08. EH$ D$î m B OZ àë`oh$ MH«$ 60J D$î m H$m AdemofU H$aVm h VWm J H$m` àë`oh$ MH«$ H$aVm h & àë`oh$ MH«$ R>ÝSo> hm O H$mo Xr JB D$Om hmojr 60J 8J J 4.4J 09. {MÌmZwgma VrZ AMmbH$ ~ S>r g mýva ßboQ>mo Ho$ n ð> Amdoe KZËd H«$ e σ, σ VWm 4σ h & q~xþ P na {dúwv joì h σ ε 0 σ ε 0 σ ε 0 σ ε A battery of constant voltage is available. How to adjust a system of three identical capacitors to get high electrostatic energy with the given battery Two parallel and one in series Three in series Three in parallel Whatever may be combination, it will always have same electrostatic energy 0. Five resistances are connected as shown in the figure. The equivalent resistance between points A and C is σ ε 0 σ ε 0 σ ε 0 σ ε EH$ AMa dmoëq>vm H$s ~ Q>ar CnbãY h & VrZ EH$g mz g Ym[aÌm Ho$ {ZH$m` go Cƒ pñwa {dúwv D$Om dmbr pñw{v àmá H$aZo Ho$ {be BÝh H $go g `mo{ov H$aZm Mm{hE Xm g mýva H«$ d EH$ lour H«$ H$m g `mooz VrZm lour H«$ VrZm g mýva H«$ {H$gr ^r Vah H$m g `mooz hmo pñwa {dúwv D$Om h oem g mz hmojr 0. nm±m à{vamoy {MÌmZwgma Ow S>o h & q~xþ A VWm q~xþ C Ho$ Ü` Vwë` à{vamoy hmojm. Ω 44 Ω 0 Ω 0 Ω. Ω 44 Ω 0 Ω 0 Ω -AA ] [ 9 ] [ PTO

10 0. The frequencies of X rays, Gamma rays and visible light waves rays are a, b and c respectively, then a > b > c a > b, b < c a < b, b > c a < b, b < c 0. An equiconve (biconve) lens has focus length f. It is cut into three parts as shown in the figure. What is the focal length of Cut part I? 0. X {H$aUm, Jm m {H$aUm VWm Ñí` àh$me Va J {H$aUm H$s Amd {V`m± H«$ e a, b VWm c h V~ a > b > c a > b, b < c a < b, b > c a < b, b < c 0. EH$ g CÎmb b g (C^`m Îmb) H$s $moh$g Xÿar f h & BgH$mo {MÌmZwgma VrZ ^mjm {d^m{ov {H$`m OmVm h Vmo H$mQ>o JE ^mj I H$s $moh$g bå~mb Š`m hmojr? f f f f 04. A cell has terminal voltage V in open circuit and internal resistance of the given cell is Ω. If 4A of current is flowing between points P and Q in the circuit and then the potential difference between P and Q is f f f f 04. Iwbo n[anw EH$ gob H$s {gam H$s dmoëq>vm V h VWm {XE JE gob H$m Am V[aH$ à{vamoy Ω h & `{X 4A H$s Ymam q~xþam P VWm Q Ho$ Ü` n[anw ~h ahr h {~ÝXþAm P VWm Q Ho$ Ü` {d^dmýva h 0V V 6V 4V 0V V 6V 4V 0. A Proton and an alpha particle both are accelerated through the same potential difference. The ratio of corresponding de-broglie wavelengths is 0. EH$ àmoq>moz Ed EH$ Aë $m H$U XmoZm H$mo g mz {d^dmýva Ûmam Ëd[aV {H$`m OmVm h & CZH$s g JV S>r ~«mo½br Va JX Y`m} H$m AZwnmV h -AA ] [ 0 ] [ Contd...

11 06. Two balls of mass m and 4m are connected by a rod of length L. The mass of the rod is small and can be treated as zero. The size of the balls can also can be neglected. We also assume the centre of the rod is hinged, but the rod can rotate about its centre in the vertical plane without friction. What is the gravity induced angular acceleration of the rod when the angle between the rod and the vertical line is θ as shown. 06. Xmo J Xo {OZH$m Ðì` mz m VWm 4m h BZH$mo L bå~mb H$s N> S> Ûmam Omo S>m OmVm h & N> S> H$m Ðì` mz ZJÊ` h VWm J Xm H$m AmH$ma ^r ZJÊ` h & h `h ^r mzvo h {H$ N> S> H$m Ho$ÝÐ H$sb{H$V {H$`m OmVm h naývw N> S> D$Üdm Ya Vb {~Zm Kf U Ho$ BgHo$ Ho$ÝÐ Ho$ gmnoj Ky{U V hmo gh$vr h & O~ N> S> H$m D$Üdm Ya aoim Ho$ gmw {MÌmZwgma H$moU θ hmo Vmo Cg g ` JwéËd O{ZV N> S> H$m H$moUr` ËdaU Š`m hmojm? 6g g sinθ L L sinθ g g sinθ 6L 6L cosθ 6g g sinθ L L sinθ g g sinθ 6L 6L cosθ 07. A projectile is projected with an initial velocity ^4it + tj hm/s. Here t j is the unit vector directed vertically upwards and unit vector i t is in the horizontal direction.velocity of the projectile (in m/s) just before it hits the ground is 4it + t j - 4it + tj 4i t - t j - 4 it - tj 08. What is the approimate percentage error in the measurement of time period of a simple pendulum if maimum errors in the measurement of length l and gravitational acceleration g are % and 7% respectively? % % % 0 % t + thm/s 07. EH$ àjoß` H$mo àmapå^h$ doj 4i j Ho$ gmw àjo{nv {H$`m OmVm h & `hm± t j BH$mB g{xe D$Üdm Ya D$na H$s Amoa h VWm i t BH$mB g{xe jo{vo {Xem h & àjoß` H$s O rz go Q>³H$a go R>rH$ nyd CgH$m doj ( r./go.) hmojm 4it + t j - 4it + tj 4i - j - 4 it - tj 08. EH$ gab bmobh$ Ho$ AmdV H$mb Ho$ mnz bj^j à{vev Ìw{Q> {H$VZr hmojr `{X bå~mb l VWm JwéËdr` ËdaU g mnz A{YH$V Ìw{Q> H«$ e % VWm 7% h % % % 0 % ^ -AA ] [ ] [ PTO

12 09. A gas undergoes the cyclic process shown in figure.the cycle is repeated 00 times per minute. The power generated is 09. EH$ J g EH$ MH«$s` àh«$ {MÌmZwgma AZwgaU H$aVr h & Bg MH«$ H$s à{v { ZQ> 00 ~ma nwzamd {Îm H$s OmVr h & CËnÝZ e{º$ hmojr 60W 0W 60W 0W 40W 00W 40W 00W 040. Three charges lie on the frictionless horizontal surface at the vertices of equilateral triangle as shown in figure. Two charges X and Y are fied whereas third charge Z is released. Which path will charge Z take upon release? 040. VrZ Amdoe EH$ Kf Ua{hV j {VO gvh na EH$ g ~mhþ {Ì^wO Ho$ erfm} na {MÌmZwgma h & BZ go Xmo Amdoe X VWm Y O S>dV (fied) h VWm Vrgam Amdoe Z wº$ {H$`m OmVm h Vmo wº$ H$aZo Ho$ Cnam V Amdoe Z Ûmam H$m Zgm nw (path) AnZm`m OmVm h? Path I Path II nw I nw II Path III Path IV nw III nw IV 04. There are two waves having wavelengths 00cm and 0cm and same velocity 0m/s. The beat frequency is Hz Hz 4Hz Hz 04. Xmo Va J {OZH$s Va JX Ü` 00cm VWm 0cm h VWm g mz doj 0m/s h & {dñn X Amd {V hmojr Hz 4Hz Hz Hz -AA ] [ ] [ Contd...

13 04. Two polaroids A and B are placed with their polaroid aes 0 to each other as shown in the figure. A plane polarized light passes through the polaroid A and after passing through it, intensity of light becomes I 0.What is the intensity of finally transmitted light after passing through the polaroid B? 04. Xmo nmobamobs> (Y«wdH$) A VWm B EH$ Xÿgao go {MÌmZwgma Bg àh$ma air OmVr h {H$ CZH$s nmobamobs> Ajm Ho$ Ü` H$moU 0 h nmobamobs> A go JwOaZo Ho$ nümv g Vb Y«w{dV àh$me H$s Vrd«Vm I 0 hmo OmVr h nmobamobs> B go JwOaZo Ho$ nümv A {V ê$n go nmaj{ V àh$me H$s Vrd«Vm Š`m hmojr? 0.I 0 0.I 0 0.7I I Laser light has following property laser light is white light laser light is highly coherent laser light always lies in X-rays region laser light does not have directionality property 044. A particle is moving in translatory motion. If momentum of the particle decreases by 0%, kinetic energy will decrease by 0% 9% 0% % 04. Which of the statement is incorrect about the simple microscope? Magnification of microscope is inversely proportional to the least distance of distinct vision. A conve lens of microscope with shorter focal length yields higher magnification. Biology students use to see the slides. It is not used for magnification of an object at far away from the observer. 0.I 0 0.I 0 0.7I I booa àh$me {ZåZ JwU aivm h booa àh$me œov hmovm h booa àh$me AË`{YH$ H$bmgå~Õ hmovm h booa àh$me h oem EŠg {H$aU joì hmovm h booa àh$me {XemË H$ JwU Zht hmovm h 044. EH$ H$U ñwmzmývau J{V H$a ahm h & `{X H$U H$m g doj 0% KQ>Vm h Vmo BgH$s J{VO D$Om KQ>oJr 0% 9% 0% % 04. gmymau(gab) gyú Xeu Ho$ ~mao H$m Zgm H$WZ AgË` h? gyú Xeu H$m AmdY Z {d^oú (ñnï>) Ñ{ï> Ho$ Ý`yZV mz Ho$ ì`wëh«$ mzwnmvr hmovr h gyú Xeu Ho$ H$ $moh$g Xÿar Ho$ CÎmb b g go A{YH$ AmdY Z àmá hmovm h Ord {dkmz Ho$ {dúmwu ñbmbs> H$mo XoIZo H$m bovo h & àojh$ go Xÿa pñwv dñvw Ho$ AmdY Z Ho$ {be `h Cn`moJ Zht AmVm h -AA ] [ ] [ PTO

14 046. Surface tension of the liquid is S. Work done in increasing the radius of soap bubble from R to R at given temperature will be 8πSR 6πSR 64πSR 8πSR 047. Suppose you drive to Delhi (00 km away) at 400 km/hr and return at 00 km/hr. What is yours average speed for the entire trip? Zero 00 Km/hr Less than 00 km/hr More than 00 km/hr 048. A system undergoes a reversible adiabatic process. The entropy of the system increases decreases remains constant may increase or may decrease 049. For the combination of gates shown here, which of the following truth table part is not true 046. EH$ Ðd H$m n ð> VZmd S h & {H$gr {XE JE Vmn na EH$ gm~wz Ho$ ~wb~wbo H$mo {ÌÁ`m R go R H$aZo {H$`m J`m H$m` hmojm 8πSR 6πSR 64πSR 8πSR 047. `h m{ze {H$ AmnH$mo 00 km Xÿa {X r H$mo 400 km/hr go OmZm h VWm 00 km/hr go bm Q>Zm h & AmnHo$ Bg Xm ao H$s Am gv Mmb Š`m hmojr? eyý` 00 Km/hr 00 Km/hr go H$ 00 Km/hr go A{YH$ 048. EH$ {ZH$m` EH$ CËH«$ Ur` éõmoî àh«$ go JwOaVm h & {ZH$m` H$s E Q monr (entropy) ~ T>oJr KQ>oJr AMa ahvr h ~ T> `m KQ> gh$vr h 049. ZrMo {XE JE VH $ Ûmam Ho$ g `mooz Ho$ {be {ZåZ gë` gmaur H$m H$m Zgm ^mj gë` Zht h A =, B =, C = A =, B = 0, C = A = 0, B =, C = A = 0, B = 0, C = A narrow white light beam fails to converge at a point after going through a converging lens. This defect is known as polarization spherical aberration chromatic aberration diffraction A =, B =, C = A =, B = 0, C = A = 0, B =, C = A = 0, B = 0, C = EH$ œov àh$me g H$sU {H$aU EH$ A{^gmar b g go JwOaZo Ho$ nümv EH$ hr q~xþ na A{^gm[aV hmozo Ag $b hmovr h `h Xmof {ZåZ H$hbmVm h Y«wdU Jmobr` {dnwz duu` {dnwz {ddv Z -AA ] [ 4 ] [ Contd...

15 0. The one electron species having ionization energy of 4.4 evs Be + Be + He + H CHEMISTRY / agm ZemñÌ 0. EH$ BboŠQ moz ñnrero {OgHo$ Am`ZZ D$Om 4.4 BboŠQ moz dmoëq> h - Be + Be + He + H 0. Which of the following set of quantum numbers represents the highest energy of an atom? n =, l = 0, m = 4, s = + n =, l =, m =, s = + n =, l =, m =, s = + n = 4, l = 0, m = 0, s = - 0. In OF, oygen has hybridization of sp sp sp None of the options A m o n g s t NO, AsO, CO, - ClO, SO - - and BO the non-planar species are - - CO, SO - and BO - - AsO, CO - and SO - - NO, CO - and BO - - SO, ClO - and BO 0. The Lewis acidity of BF is less than BCl even though fluorine is more electronegative than chlorine. It is due to stronger p p (F) σ - bonding stronger p p(f) π - bonding stronger p p (Cl) σ - bonding stronger p-p(cl) π - bonding 06. The IUPAC name of the compound is: 0. {ZåZ go H$m Zgo ³dm Q> g»`mamo H$m g yh na muw H$s CƒV D$Om H$mo {Zé{nV H$aVm h n =, l = 0, m = 4, s = + n =, l =, m =, s = + n =, l =, m =, s = + n = 4, l = 0, m = 0, s = - 0. OF Am ŠgrOZ H$m g H$aU h sp sp sp BZ go H$moB {dh$ën Zht NO, AsO, CO, ClO, SO - - BO go Ag Vb ñnrero h CO, SO VWm BO AsO -, CO - NO -, CO - SO -, ClO - - VWm SO - VWm BO - VWm BO Am a 0. BF H$s bwb g Aåbr`Vm BCl go H$ h O~{H$ âbmo[az H$s {dúwv F$UVm ŠbmoarZ go A{YH$ h & BgH$m H$maU h - à~b p p (F) σ - ~ÝYZ à~b p p(f) π - ~ÝYZ à~b p p (Cl) σ - ~ÝYZ à~b p-p(cl) π - ~ÝYZ 06. `m {JH$ H$m AmB.`y.nr.E.gr.Zm h -methyl-6-oohe--enamide 6-keto--methyl heamide -carbamoylheanal -carbamoylhe--enal - o{wb-6 Am ŠgmohoŠg--BZm mbs> 6-H$sQ>mo-- o{wb hošgm mbs -H$m~m} mo`bhošgozob -H$m~m} mo`bhošg--bzob -AA ] [ ] [ PTO

16 07. The IUPAC name of 07. {ZåZ H$m AmB.`y.nr.E.gr. Zm h -Bromo--chloro--fluoro-6-iodo benzene -Bromo--chloro--fluoro--iodo benzene 4-Bromo--chloro--iodo--fluoro benzene -carbamoylhe--enal 08. Which of the following compounds contain at least one secondary alcohol? is -~«mo mo--šbmoamo--âbmoamo-6-am`s>mo ~oýorz -~«mo mo--šbmoamo--âbmoamo--am`s>mo ~oýorz 4-~«mo mo--šbmoamo--am`s>mo --âbmoamo ~oýorz -H$m~m} mo`bhošg --BZob 08. {ZåZ `m {JH$m go {H$g o H$ go H$ EH$ {ÛVr` EëH$mohb h? is (i), (ii), (iv), (vi) (i), (ii), (iii) (i), (ii), (iii), (v) (i), (iii), (v) 09 Transition state (T.S.) is structurally most likely as: (i), (ii), (iv), (vi) (i), (ii), (iii) (i), (ii), (iii), (v) (i), (iii), (v) 09 g amzmë H$ ê$n go g H«$ U AdñWm (T.S.) A{YH$ g mz h intermediate transition state (T.S.) intermediate product Ü`dVu (intermediate ) g H«$ U AdñWm (T.S.) Ü`dVu (intermediate ) CËnmX (product) -AA ] [ 6 ] [ Contd...

17 060. The decreasing order of electron affinity is: F > Cl > Br > I Cl > F > Br > I I > Br > Cl > F Br > Cl > F > I 06. The isomerism ehibited by following compounds [Co(NH ) 6 ][Cr(CN) 6 ] and [Cr(NH ) 6 ][Cr(CN) 6 ] is Linkage isomerism Coordination isomerism Ionization isomerization Polymerisation isomerism 06. For the reaction SO + O (ecess) " SO the order of reaction with respect to O is zero one two three 06. Friedel Craft reaction is not related with: Sulphonation Nitration Acylation Reduction 060. BboŠQ moz AmË r`vm (~ YwVm) H$m KQ>Vm hþam H«$ h - F > Cl > Br > I Cl > F > Br > I I > Br > Cl > F Br > Cl > F > I 06. AYmo{bpIV `m {JH$m [Co(NH ) 6 ][Cr(CN) 6 ] VWm [Cr(NH ) 6 ][Cr(CN) 6 ] Ûmam g md`vm àx{e V hmo ahr h - ~ÝYZr g md`vm Cnghg `mooz g md`vm Am`ZZ g md`vm ~hþbh$sh$au g md`vm + Ho$ {be O Ho$ gýx^ (gmnoj ) A{^{H«$`m H$s H$mo{Q> h eyý` EH$ 06. A{^{H«$`m SO O (ecess) " SO Xmo VrZ 06. «$sso>b-h«$mâq> A{^{H«$`m {ZåZ{bpIV go gå~ {YV Zht h gë $mo{zh$au ZmBQ rh$au E{g{bH$aU AnM`Z 064. Compound has the following prefi E trans Z Anti 06. The molecule C O has a linear structure. This compound has 4 σ and 4 π bonds σ and π bonds σ and π bonds σ and 4 π bonds 066. The structure of XeF and NH respectively are bent, tetrahedral linear, pyramidal linear, see-saw bent, see-saw 064. `m {JH$ Ho$ {be CngJ h E Q m g Z EÝQ>r 06. AUw C O H$s g amzm a pih$ h & Bg `m {JH$ 4 σ VWm 4 π Am~ÝY σ VWm π Am~ÝY σ VWm π Am~ÝY σ VWm 4 π Am~ÝY 066. XeF VWm NH H$s g amzme± h H«$ e ~ {H$V, MVwî $bh$s` a pih$, {nar{ {S>` a pih$, T>ÝHw$br (gr gm ) ~ {H$V T>ÝHw$br (gr gm ) -AA ] [ 7 ] [ PTO

18 067. The number of lone pair(s) of electrons - on the central atom in 6 BrF 4@,XeF6 and - 6 SbCl are, respectively.,0 and, 0 and 0, and, and Which one is not the property of crystalline soild? isotropic Sharp melting point A definite and regular geometry High intermolecular forces 069. For a non-volatile solute: vapour pressure of solute is zero vapour pressure of solvent is zero vapour pressure of solution is more than vapour pressure of solvent all of the options 070. Micelles are: gel associated colloids adsorbed catalyst ideal solution 07. Milk is an emulsion in which: Milk fat is dispersed in water a solid is dispersed in water a gas is dispersed in water lactose is dispersed in water 07. If enthalpies of formation for C H 4 (g), CO (g) and H O(l) at º C and atm pressure be, 94 and 86 kj mol respectively, enthalpy of combustion of C H 4 (g) will be +4. kj mol +4 kj mol 4. kj mol 4 kj mol 07. Which graph shows zero activation energy for reaction? - Ho$ Ho$ÝÐr` na muw na EH$mH$s BboŠQ moz `w½ m H$s g»`m h H«$ e,0 VWm, 0 VWm 0, VWm, VWm BrF 4@, XeF6 VWm SbCl H$m Zgm EH$ {H«$ñQ>br` R>mogm H$m JwU Zht h? g X {eh$ VrúU JbZm H$ {~ÝXþ {Z{üV Ed {Z`{ V Á`m{ Vr` Cƒ AÝVampÊdH$ ~b 069. EH$ Admînerb {dbo` Ho$ {be {dbo` H$m dmînxm~ eyý` hmovm h {dbm`h$ H$m dmînxm~ eyý` hmovm h {db`z H$m dmînxm~ {dbm`h$ Ho$ dmînxm~ go A{YH$ hmovm h {X o JE g^r {dh$ën ghr h 070. { gob h Oob ghmmar H$mobmBS> A{Yemo{fV CËàoaH$ AmXe {db`z 07. XÿY EH$ nm`g h {Og XÿY dgm H$m Ob n[ajonu ahvm h EH$ R>mog H$m Ob n[ajonu ahvm h EH$ J g H$m Ob n[ajonu ahvm h bošq>mog H$m Ob n[ajonu ahvm h 07. `{X C H 4 (g), CO (g) Am a H O(l) Ho$ {be º C EH$ dm`w S>br` Xm~ na {damz H$s EÝWoënr H«$ e, 94 Am a 86 {H$bmo Oyb mob h, C H 4 (g) Ho$ XhZ H$s EÝWoënr hmojr- +4. kj mol +4 kj mol 4. kj mol 4 kj mol 07. A{^{H«$`m (reaction) Ho$ {be H$m Zgm J«m $ eyý` g{h«$`u D$Om Xem Vm h? -AA ] [ 8 ] [ Contd...

19 074. Which of the following is correct for a first order reaction? t/ \ a t/ \ a 0 t \ a t \ a / / gm of NH is present in 0 ml volume. Its active mass is:.0 ML 0. ML. ML.0 ML 076. The equilibrium constants of the reaction SO( g) + O( g)? SO( g) and SO( g) + O( g)? SO( g) are K and K respectively. The relationship between K and K will be: K = K K = K K = K K = K àw H$mo{Q> H$s A{^{H«$`m Ho$ {be {ZåZ go H$m Zgm ghr h? t/ \ a t t / 0 / \ a \ a t \ a / ml 8.0 J«m A mo{z`m CnpñWV h & BgH$m g{h«$` Ðì` mz h -.0 ML 0. ML. ML.0 ML 076. A{^{H«$`m SO( g) + O( g)? SO( g) Am a SO( g) + O( g)? SO( g) Ho$ amgm`{zh$ gmå` pñwam H$ H«$ e K Ed K h, K Am a K gå~ýy hmojm? 077. K = K K = K K = K K = K pair is known as erythro stereoisomers threo stereoisomers structure isomers geometrical isomers 078. Which defect in any crystal lowers its density? F centre Frenkel Schottky Interstitial 079. The half life period of a radio active element is 0 days, after 90 days the following quantity will be left What is the number of atoms in the unit cell of body centered cubic crystal? 4 `w½ H$hbmVm h E[aW«mo {Ì{d g md`r {W«`mo {Ì{d g md`r g amzm g md`r Á`m{ {V g md`r 078. {H$gr {H«$ñQ>b H$m Zgr Ìw{Q> BgHo$ KZËd H$mo H$ H$aVr h F Ho$ÝÐ «$Ho$b emoq>h$s A VamH$mer 079. EH$ ao{s>`mo g{h«$` VËd H$s AY Am`w 0 {XZ h 90 {XZ ~mx CgH$s {ZåZ mìm eof ahojr H$m` H ${ÐV KZr` {H«$ñQ>b H$s EH$H$ H$mo{ð>H$m na muwamo H$s g»`m Š`m hmovr h? 4 -AA ] [ 9 ] [ PTO

20 08. When Grignard reagent reacts with ketone it yields o alcohol o alcohol o alcohol Ethanol 08. Formula of Bleaching powder is: CCl CHO CaOCl Ca(OH) CHCl 08. The geometry around the central atom in + ClF 4 is square planar square pyramidal octahedral trigonal bipyramidal 084. Among the following, the equilibrium which is NOT affected by an increase in pressure is SO( g)? SO( g) + O( g) H( g) + I ( s)? HI( g) C( s) + H O( g)? CO( g) + H ( g) Fe( s) + 4H O( g)? Fe O ( s) + 4 H ( g) In the manufacture of ammonia by Haber s process N ( g) + H ( g)? NH ( g) + 9.kJ Which of the following conditions is unfavourable? Increasing the temperature Increasing the pressure Reducing the temperature Removing ammonia as it is formed 086. Which of the following compounds can ehibit both geometrical isomerism and enantiomerism? CH - CH = CH - CH 08. O~ {J«Ý`ma A{^H$ H$ H$sQ>m Z go A{^{H«$`m H$aVm h Vmo àmá hmovm h - EëH$mohb EëH$mohb EëH$mohb EWoZmob 08. ãbrqmj nmcs>a H$m gyì h CCl CHO CaOCl Ca(OH) CHCl ClF 4 Ho$ÝÐr` na muw Ho$ Mmamo Amoa Á`m{ {V h - dj g Vbr` dj {nam{ S>r` Aï> $bh$s` {ÌH$moUr` {Û {nam{ S>r` 084. Xm~ ~ T>mZo na {ZåZ go H$m Zgm gmå` à^m{dv Zht hmovm h SO( g)? SO( g) + O( g) H( g) + I ( s)? HI( g) C( s) + H O( g)? CO( g) + H ( g) Fe( s) + 4H O( g)? Fe O ( s) + 4 H ( g) ho~a àh«$ Ho$ Ûmam A mo{z`m Ho$ {Z m U N ( g) + H ( g)? NH ( g) + 9.kJ {ZåZ go H$m Zgr ev à{vhy$b h? Vmn ~ T>Zm Xm~ H$m ~ T>Zm Vmn H$m KQ>Zm A mo{z`m Ho$ {Z m U Ho$ gmw BgH$m {ZH$bZm 086. {ZåZ go H$m Zgm `m {JH$ Á`m{ Vr` g md`vm VWm à{v{~å~ ê$nu (enantiomerism) XmoZm H$mo Xem Vm h? CH - CH = CH - CH CH - CHOH - COOH CH - CHOH - COOH -AA ] [ 0 ] [ Contd...

21 087. Which of the following reacts fastest with conc. HCl? 087. gmýð HCl Ho$ gmw {ZåZ go H$m Zgm Vrd«V ê$n go A{^{H«$`m H$aVm h (CH ) COH CH = CH CH OH 088. A polymer which is commonly used as a packaging material is Polythene Polypropylene PVC Bakelite Which pair does not represent the cyclic compound of the molecular formula C 4 H 6 (CH ) COH CH = CH CH OH 088. ~hþbh$ Omo gm Ý`V`m nxmwm] H$s noqh$j H$m AmVm h nmobr{wz nmo{bàmonrbrz PVC ~ Ho$bmB Q> 089. H$m Zgm `w½ C 4 H 6 AUw gyì dmbo MH«$s` `m {JH$ H$mo àx{e V Zht H$aVm h Product P in the above reaction is: Cnamoº$ A{^{H«$`m CËnmX P h -AA ] [ ] [ PTO

22 09. The structure of carboylate ion is best represented as: 09. H$m~m}pŠgboQ> Am`Z H$s g amzm H$m g~go AÀN>m {Zê$nU h Which one of the following is not a unit of energy? Nm kg. ms lit-atm kg m s 09. When a liquid that is immiscible with water was steam distilled at 9. C at a total pressure of 99.6KPa. The distillate contained.7gm of the liquid per gram of water. What will be the molar mass of the liquid if the vapour pressure of water is 8.40KPa at 9. C? 4. gm mol 0.74 gm mol 99.6 gm mol 8 gm mol 094. What will happen if a cell is placed into 0.4% (mass/volume) NaCl solution Cell will swell Cell will shrink there will be no change in cell volume Cell will dissolve 09. What is ph of # 0 molar HCl solution? Here log = 0.0 and log = If at cubic cell, atom A present all corners and atom B at the centre of each face. What will be the molecular formula of the compounds, if all the atoms present on one body diagonal are replaced by atom C? ABC A B C 4 A B C AB C 097. If a compound is formed by X, Y and Z atoms and Z is present on the corners, Y is present tetrahedral voids and X atom in octahedral voids, which of the following will be the molecular formula of the compound. XYZ X ZY X Y 4 Z XYZ {ZåZ go H$m Zgr D$Om H$s BH$mB Zht h? Nm kg. ms lit-atm kg m s 09. EH$ Ðd Omo Ob A{ lur` h H$m ^mn AmgdZ 9. C na VWm Hw$b Xm~ 99.6KPa na {H$`m J`m& AmgwV Ob Ho$ àë`oh$ J«m Ho$ gmw Ðd H$m.7gm CnpñWV h & `{X Ob H$m dmînxm~ 9. C na 8.40KPa h, Ðd H$m moba Ðì` mz Š`m hmojm? 4. gm mol 0.74 gm mol 99.6 gm mol 8 gm mol 094. Š`m hmovm h `{X EH$ H$mo{eH$m H$mo 0.4% (Ðì` mz /Am`VZ ) NaCl {db`z aim OmVm h? H$mo{eH$m y${bv hmojr H$mo{eH$m {ghw$ S> Om`oJr H$mo{eH$m Ho$ Am`VZ o H$moB n[adv Z Zht hmojm H$mo{eH$m {db` hmo Om`oJr 09. # 0-8 moba HCl {db`z H$s ph Š`m hmojr? hm± log = 0.0 Ed log = `{X EH$ KZr` H$mo{eH$m Ho$ g^r H$moZm na A na muw CnpñWV h Am a àë`oh$ $bh$ Ho$ Ho$ÝÐH$ na B na muw CnpñWV h `{X EH$ H$m`{dH$U na CnpñWV g^r na muwam H$mo na muw C Ho$ Ûmam à{vñwm{nv H$a {X`m OmE Vmo `m {JH$ H$m AUw gyì Š`m hmojm? ABC A B C 4 A B C AB C 097. `{X EH$ `m {JH$ na muw X,Y Am a Z go { bh$a ~Zm hmo `{X Z na muw H$moZm na CnpñWV hmo, Y na muw MVwî $bh$s` [ap³vh$mam Am a X na muw AîQ> $bh$s` [ap³vh$mam CnpñWV hmo Vmo `m {JH$ H$m AUw gyì {ZåZ go H$m Zgm hmojm? XYZ X ZY X Y 4 Z XYZ 4 -AA ] [ ] [ Contd...

23 098. If an element A is placed in electrochemicals series above element B but below element C, then the order of oidation power of elements A > B > C C > B > A C > A > B B > A > C 099. What will be the decreasing order of stability of following carbocations? 098. `{X VËd A {dúwv amgm`{zh$ lour VËd B go D$na h bo{h$z VËd C go ZrMo CnpñWV h, VËdm H$s Am ŠgrH$aU j Vm H$m H«$ Š`m hmojm? A > B > C C > A > B C > B > A B > A > C 099. {ZåZ H$m~m}YZm`Zm o Ho$ ñwm{`ëd H$m KQ>Vm hþam H«$ hmojm > > 4 > > > > > > 4 > 4 > > > > > > 4 > > > 4 > > > > > > 4 > 4 > > > > > > 4 > 00. In above reaction P and Q are 00. Cnamo³V A{^{H«$`m P VWm Q h -AA ] [ ] [ PTO

24 0. The resultant of two forces P and Q is of magnitude P. If the force P is doubled, Q remaining the same, then angle between new resultant and the force Q is The centre of gravity (centre of mass) of a rod (of length L) whose linear mass density varies as the square of the distance from one end is at L L L 4 L 0. Three forces each of magnitude F are applied along the edges of a regular heagon as shown in the figure. Each side of heagon is a. What is the resultant moment (torque) of these three forces about centre O? MATHEMATICS / J{UV 0. `{X Xmo ~bm P VWm Q Ho$ n[aum r H$m n[a mu P h & `{X ~b P H$mo XþJwZm H$a {X`m OmE d ~b Q H$mo An[ad{V V aim OmE Vmo ZE n[aum r VWm ~b Q Ho$ Ü` H$moU hmojm EH$ N> S>> bå~mb L h BgH$m aoir` Ðì` mz KZËd BgHo$ EH$ {gao go Xÿar Ho$ dj Ho$ AZwgma n[ad{v V hmo ahm h & Bg N> S> H$m JwéËd Ho$ÝÐ (Ðì` mz Ho$ÝÐ) BgHo$ {gao go {ZåZ na hmojm L L L 4 L 0. VrZ ~b {OZH$m àë`oh$ H$m n[a mu F h H$mo EH$ {Z`{ V fq²^wo Ho$ H$moamo ({H$Zmam ) Ho$ AZw{Xe {MÌmZwgma Amamo{nV {H$`o OmVo h & fq²^wo H$s àë`oh$ ^wom a h & Ho$ÝÐ O Ho$ gmnoj BZ VrZ ~bm H$m n[aum r AmKyU Š`m hmojm? af af af af 04. The coordinates of a moving point particle in a plane at time t is given b y = a ( t + sin t), y = a( - cos t). T h e magnitude of acceleration of the particle is a a a a 0. A point particle moves along a straight line such that = t where t is time. Then ratio of acceleration to cube of the velocity is 0. af af af af 04. EH$ Vb J{V mz EH$ {~ÝXþ H$U H$m g ` t na {ZX}em H$, = a ( t + sin t), y = a( - cos t) h Vmo H$U Ho$ ËdaU H$m n[a mu h a a a a 0. EH$ {~ÝXþ H$U EH$ gab aoim = t Ho$ AZwgma J{V H$a ahm h Ohm± t g ` h & V~ H$U Ho$ ËdaU H$m doj Ho$ KZ Ho$ gmw AZwnmV hmojm 0. -AA ] [ 4 ] [ Contd...

25 06. A body of mass m falls from rest through a height h under gravitation acceleration g and is then brought to rest by penetrating through a depth d into some sand. The average deceleration of the body during penetration into sand is gh gd d h gh gh d d 07. A normal is drawn at a point (, y ) of the parabola y = 6 and this normal makes equal angle with both and y aes. Then point (, y ) is (4, 4) (, 8) (4, 8) (, 4) 08. Two vectors A = and B = 4 are perpendicular. Resultant of both these vectors is R. The projection of the vector B on the vector R is A vector R is given by R = A # _ B # Ci Which of the following is true? R is parallel to A R must be parallel to B R must be perpendicular to B None of the options 0. Solution of the differential equation dy e - y - = + e y is d -y e = e + + c y - e = e + + c y e = e + + c - -y e = e + + c. Solution of the differential equation dy _ + y i = y is d y + cy = + y = y + c 4 y y + c = y + y = cy 06. EH$ dñvw {OgH$m Ðì` mz m h {dam go h D±$MmB go JwéËdr` ËdaU g Ho$ A VJ V {JaVr h VWm `h aov JhamB d VH$ Y±gVr h & aov Y±gZo Ho$ Xm amz Am gv ÝXZ hmojm gh d gh d 07. nadb` y 6 gd h gh d = Ho$ {~ÝXþ (, y ) na EH$ A{^bå~ Ir Mm OmVm h `h A{^bå~ XmoZm Ajmo VWm y Ho$ gmw ~am~a H$moU ~ZmVm h Vmo {~ÝXþ (, y ) h (4, 4) (, 8) (4, 8) (, 4) 08. Xmo g{xe A = VWm B = 4 nañna bå~dv h & BZ XmoZm g{xemo H$m n[aum r R h & g{xe B H$m g{xe R na àjon hmojm EH$ g{xe R {ZåZ Ûmam {X`m OmVm h R = A # _ B # Ci Vmo {ZåZ go H$m Zgm H$WZ gë` h? g{xe R g{xe A Ho$ g mýva h g{xe R g{xe B Ho$ g mýva hr hmojm g{xe R g{xe B Ho$ bå~dv hr hmojm BZ o go H$moB {dh$ën Zht 0. AdH$b g rh$au d hb h -y e = e + + c y - e = e + + c y e = e + + c - -y e = e + + c dy = e + e - y - y H$m. AdH$b g rh$au _ + y i = y H$m d hb h y cy + = + dy + = y y c y + c = y y 4 + y = cy -AA ] [ ] [ PTO

26 . Value of the following epression is lim ( n ) n " n 6. If function f( ) = sina k ;! 0 * a ; = 0 is continuous at = 0, then value of a is 0 None of the options 4. The derivative of y = sin is cos sin sin sin - sin acos log + k sin cos log +. The tangents to curve y = which are parallel to straight line y = are - y = and + 86 y = 7 + y = and + 86 y = 7 + y = and - 86 y = 7 - y = and - 86 y = 7 6. The value of lim cos h - " 0 sin 7. Value of Maima of a k is a e e e k a e e k e e cos is. {ZåZ ì` OH$ H$m mz h lim n " ( n ) n 6 f a k! 0 a ; = 0. `{X $bz ( ) = sin ; * = 0, na gvv h Vmo a H$m mz h 0 4. y sin BZ o go H$moB ^r {dh$ën Zht = H$m AdH$bO h - cos sin sin sin - sin acos log + k sin cos log + = na ItMr JB. dh«$ y ñne aoimamo Omo {H$ gab aoim y = Ho$ g mýva h Ho$ g rh$au h - y = VWm + 86 y = 7 + y = VWm + 86 y = 7 + y = VWm - 86 y = 7 - y = VWm - 86 y = 7 6. lim cos h " 0 sin - H$m mz h cos 7. $bz a k H$m C{ƒîQ> mz h a e e e k a e e k e e -AA ] [ 6 ] [ Contd...

27 8. The value of the integral sin - d 0 ( - ) π + log π - log π π - log - log 4 9. Integral of + cos - sin log ( + cos ) + c sin log ( + cos ) + c tan a tan k + c - tan tan d c n + 0. The eccentricity of an ellipse 9 + 6y = 44 is 7 4. Taking aes of hyperbola as coordinate aes, find its equation when the distance between the foci is 6 and eccentricity is - y = 8 - y = 6 - y = - y = 64. For a circle + y = 8, what is the equation of chord whose mid point is (, ) - y - = 0 + y + = 0 - y + = 0 - y + = 0. The condition so that the line l + my + n = 0 may touch the parabola y = 8 m 8l n m = l n 8m = l n m = l n w sin d w $Ho$ g mh$b H$m mz 0 ( - ) π + log π - log π π - log - log 4 + H$m g mh$b h cos - sin log ( + cos ) + c sin log ( + cos ) + c tan - a tan k + c - tan tan d c n + 0. {XE JE XrK d V 9 + 6y = 44 H$s CËHo$ÝÐVm h 7 4. A{Vnadb` Ho$ Ajmo H$mo {ZX}e Aj mzh$a A{Vnadb` H$m g rh$au Š`m hmojm, O~ {H$ Zm{^`mo H$s Xÿar 6 h VWm CËHo$ÝÐVm h - y = 8 - y = 6 - y = - y = 64 + = H$s Cg Ordm H$m g rh$au Š`m hmojm, {OgH$m Ü` {~ÝXþ. d Îm y 8, (, ) h - y - = 0 + y + = 0 - y + = 0 - y + = 0. dh ev Š`m hmojr O~ aoim l + my + n = 0 nadb` y = 8 H$mo ñne H$a gho$ m 8l n m = l n 8m = l n m = l n -AA ] [ 7 ] [ PTO

28 4. The equation of that diameter of the circle + y y - 8 = 0 which passes through the origin is 6 - y = 0 + y = 0 + y = 0 - y = 0. If z is a comple number then ( z + ) ( z + ) is ( z + ) z + z + i z - 6. If z is a comple number then which of the following statement is true? _ z - z i is purely real _ z + z i is purely imaginary _ z z i is purely imaginary _ z z i is nonnegative real 7. If ω is the cubic root of unity, then value of the ( + ω - ω ) + (- ω + ω ) + is 7 8. If, _ + i i = a + ib, Here a and b are real, then the value of b is 0 _ i _ i 9. If f( θ) = ( sec θ + cos θ), then its value always f _ θi < f _ θ i = 4 > f( θ ) > f( θ) $ 4 0. If cot - tan =, then generalized solution is (here n is integer) π π = nπ + = nπ + 4 nπ π nπ π = + = A plane is flying horizontally at a height of Km from ground. Angle of elevation of the plane at a certain instant is 60. After 0 seconds angle of elevation is found 0. The speed of plane is m / s m / s 00 m/ s 00 m/ s = H$m ì`mg (Omo {H$ yb {~ÝXþgo JwOaVm h ) H$m g rh$au Š`m hmojm? 4. d Îm y 6 y y = 0 + y = 0 + y = 0 - y = 0. {X z EH$ gpå l g» m h Vmo ( z + ) ( z + ) ~am~a h ( z + ) z + z + i z - 6. {X z EH$ gpå l g» m h Vmo {ZåZ go H$m Zgm H$WZ gë h? _ z - z i {dewõ dmñv{dh$ h _ z + z i {dewõ H$mën{ZH$ h _ z z i {dewõ H$mën{ZH$ h _ z z i AG$UmË H$ dmñv{dh$ h 7. {X ω BH$mB H$m KZ yb h Vmo ( + ω - ω ) + (- ω + ω ) + H$m mz h 7 8. {X + i = a + ib _ i h a VWm b dmñv{dh$ h Vmo b H$m mz h 0 _ i _ i = + h Vmo BgH$m 9. {X f( θ) ( sec θ cos θ), mz gx d f _ θi < f _ θ i = 4 > f( θ ) > f( θ) $ 4 - =, h Vmo ì`mnh$ hb h (`hm± n EH$ nyumªh$ h ) 0. {X cot tan π π = nπ + = nπ + 4 nπ π nπ π = + = EH$ {d mz O rz go Km D±$MmB na j {VO {Xem C S> ahm h & {H$gr ju na {d mzh$m CÝZ`Z H$moU 60 h & 0 goh$ês> ~mx CÝZ`Z H$moU 0 nm`m J`m Vmo {d mz H$s Mmb h m / s m / s 00 m/ s 00 m/ s -AA ] [ 8 ] [ Contd...

29 4. sin θ cos θ - sin θ cos θ is equal cos θ sin 4θ cos θ sin 4θ 4 sin θ sin θ sin 4θ 4. If sin C cos A = sin B, then ABC is Isosceles triangle equilateral triangle right angle triangle none of the options 4. Value of the tan 9 cos - a kc is - 0. If r = + y + z and - yz - z π - tan r + tan yr = - tan φ y φ = + yz zr φ = r + φ = y zr y φ = zr then z yr 6. Consider digits,,, 4,, 6 and 7. Using these digits, numbers of five digits are formed. Then probability of these such five digit numbers that have odd digits at their both ends is None of the options 7. Out of 00 bicycles, ten bicycles have puncture. What is the probability of not having any punctured bicycle in a sample of bicycles? d n ~am~a h. sin θ cos θ sin θ cos θ cos θ sin 4θ cos θ sin 4θ 4 sin θ sin θ sin 4θ 4 = h Vmo ABC h g {Û~mhþ {Ì^wO g ~mhþ {Ì^wO g H$moU `wº$ {Ì^wO BZ o go H$moB {dh$ën Zht. {X sin C cos A sin B, 4. {ZåZ tan cos - a k - 0. {X r y z 9 C H$m mz h = + + VWm - yz - z π - tan r + tan yr = - tan φ y φ = + yz zr φ = r + φ = y zr y φ = zr Vmo z yr 6. A H$,,, 4,, 6 VWm 7 br{oe& BZ A H$mo H$m Cn`moJ H$aVo hþe nm±m A H$mo H$s g»`me± ~ZmB OmVr h Vmo BZ nm±m A H$mo H$s Eogr g»`mamo Ho$ XmoZm {gam na {df A H$ AmZo H$s àm{`h$vm Š`m hmojr? BZ o go H$moB {dh$ën Zht 7. gm gmb{h$bm o go 0 gmb{h$bo n Ma h Vmo nm±m gmb{h$bm Ho$ à{vxe (goånb) o go {H$gr ^r gmb {H$b o n Ma Zht hmozo H$s àm{`h$vm Š`m hmojr? d n 0 -AA ] [ 9 ] [ PTO

30 8. Probability of solving a particular question by person A is / and probability of solving that question by person B is /. What is the probability of solving that question by at least one of them? / / / 7/9 9. Four men and three women are standing in a line for railway ticket. The probability of standing them in alternate manner is log, log6, log are in A.P. G.P. H.P. None of the options 4. If p, q, r, s, t and u are in A.P. then difference ( t - r) is equal ( s - p) ( u - q) ( s - r) ( u - q) 4. Value of 7_ logbai _ logcbi _ logacia 0 abc log abc 4. If p = log π + log π + then 4. < p < < p <.. < p < p > 44. In the epansion of f + p midterm is ì`{º$ A H$s {H$gr {d{eð> àý H$mo hb H$aZo H$s àm{`h$vm / h VWm Cgr àý H$mo ì`{º$ B Ûmam hb H$aZo H$s àm{`h$vm / h & CZ XmoZm o go H$ go H$ EH$ Ho$ Ûmam Cg àý H$mo hb H$aZo H$s àm{`h$vm Š`m hmojr? / / / 7/9 9. Mma nwéf VWm VrZ {hbme± EH$ bmbz (n {º$) o aobdo {Q>H$Q> Ho$ {be I S>o h Vmo CZHo$ EH$m Va H«$ o I S>o hmozo H$s àm{`h$vm Š`m hmojr? log, log, log A.P. o G.P. o H.P. o 6 h 7 BZ o go H$moB {dh$ën Zht 4. `{X p, q, r, s, t VWm u g mýva lour (A. P.) h Vmo AÝVa ( t - r) ~am~a h ( s - p) ( u - q) ( s - r) ( u - q) 4. _ logbai _ logcbi _ logaci 0 abc log abc 4. {X A H$m mz h p = log π + log π + Vmo 4. < p < < p <.. < p < p > + 0 f p Ho$ {dñvma o Ü nx h AA ] [ 0 ] [ Contd...

31 4. If roots of equation of + + = 0 are a, b and roots of + p + q = 0 a b are, b a then value of p + q is / a The value of Determinant / b bc ca 0 / c ab ( a - b) ( b - c) ( c - a) a b c ( a - b) ( b - c) ( c - a) None of the options If > H > H + > - H= > H the value of is None of the options Consider A and B two square matrices of same order. Select the correct alternative A + B must be greater than A If AB = 0 either A or B must be zero matri AB must be greater than A > H is not unit matri. 49. Function f : N " N, f( ) = + is One-one Onto function One-one Into function Many- one Onto function Many -one Into function 0. If domain of the function f( ) = is (-, ) then its range is (-, ) [-, ) [-, ] (-, - ) a b c 4. {X g rh$au + + = 0 Ho$ yb, h VWm + p + q = 0 Ho$ yb, b p + q H$m mz h & 46. gma{uh$ 47. {X + / a / b bc ca a b H$m mz h $ / c ab c 0 ( a - b) ( b - c) ( c - a) a b c ( a - b) ( b - c) ( c - a) BZ o go H$moB {dh$ën Zht - 8 > > + > - = > H$m mz h 7 8 a b a b a Vmo H H H H h Vmo BZ o go H$moB {dh$ën Zht 48. EH$ hr H$mo{Q> H$s Xmo dj o{q Šgmo A VWm B na {dmma H$s{OE& {ZåZ o go H$m Zgm H$WZ gë` h A + B H$m mz A go ~ S>m hr hmojm {X AB = 0 V~ m Vmo A m B eyý {Q >³g hr hmojr& AB H$m mz A go ~ S>m hr hmojm > H BH$mB o{q >³g Zht h 49. $bz f : N " N, f( ) = + h EH $H$s AmÀN>mXH$ EH $H$s AÝVj}nr ~hþeoh$s AmÀN>mXH$ ~hþeoh$s AÝVj}nr 0. {X $bz f( ) = H$m àmýv (-, ) h Vmo BgH$m n[aga hmojm (-, ) [-, ) [-, ] (-, - ) -AA ] [ ] [ PTO