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> AD 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 Examination 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$mo g PVo h &'' AWdm / OR To be copied by the candidate in your own handwriting in the space given below for this purpose is compulsory. You will know you are in the right profession when : you wake anxious to go to work, you want to do your best daily, and you know your work is important. * Bg n îr> H$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> AD 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 examination hall at the end of examination 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 force F = 7N is applied on a block of mass kg along the fixed smooth incline as shown in figure. Here gravitational acceleration g = 0m/s. The acceleration of the block is PHYSICS / ^m {VH$emñÌ 00. EH$ ~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$m ËdaU hmojm 0 s m upwards the incline s m downwards the incline s m upwards the incline 0 s m downwards the incline 00. A kg object has initial velocity ^6it - tj hm/s. The total work done on the object if its velocity changes to ^8it + 4tj hm/s is 44J 60J 0J 6J 0 s m ZV Vb Ho$ AZw{Xe D$na H$s Amoa s m ZV Vb Ho$ AZw{Xe ZrMo H$s Amoa s m ZV Vb Ho$ AZw{Xe D$na H$s Amoa 0 s m ZV Vb Ho$ AZw{Xe ZrMo H$s Amoa 00. EH$ 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 44J 0J 60J 6J -AD ] [ ] [ Contd...

3 00. A heat engine absorbs 60J of energy by heat and performs J of work in each cycle. The energy expelled to the cold reservoir in each cycle is 4.4J 60J 8J J 004. 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 00. 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 4.4J 8J 60J J 004. {MÌmZwgma VrZ AMmbH$ ~ S>r g mýva ßboQ>mo Ho$ n ð> Amdoe KZËd H«$ e σ, σ VWm 4σ h & q~xw P na {dúwv joì h σ ε 0 σ ε 0 σ ε 0 σ 00. 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 Whatever may be combination, it will always have same electrostatic energy Two parallel and one in series Three in series Three in parallel 006. Five resistances are connected as shown in the figure. The equivalent resistance between points A and C is ε 0 σ ε 0 σ ε 0 σ ε 0 σ 00. 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 {H$gr ^r Vah H$m g `mooz hmo pñwa {dúwv D$Om h oem g mz hmojr Xmo g mýva H«$ d EH$ lour H«$ H$m g `mooz VrZm lour H«$ VrZm g mýva H«$ 006. nm±m à{vamoy {MÌmZwgma Ow S>o h & q~xw A VWm q~xw C Ho$ Ü` Vwë` à{vamoy hmojm ε 0 0 Ω. Ω 0 Ω 44 Ω 0 Ω. Ω 0 Ω 44 Ω -AD ] [ ] [ PTO

4 007. The frequencies of X rays, Gamma rays and visible light waves rays are a, b and c respectively, then a < b, b < c a > b > c a > b, b < c a < b, b > c 008. An equiconvex (biconvex) 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? 007. 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, b < c a > b > c a > b, b < c a < b, b > c 008. EH$ g CÎmb b g (C^`m Îmb) H$s $moh$g Xyar 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 f f f f 009. 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 009. 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 4V 6V 0V V 4V 6V 0V V 00. A Proton and an alpha particle both are accelerated through the same potential difference. The ratio of corresponding de-broglie wavelengths is 00. 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 -AD ] [ 4 ] [ Contd...

5 0. 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. 0. 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$moUr` ËdaU Š`m hmojm? g 6L cosθ 6g sinθ L g 6L cosθ 6g sinθ L g L sinθ g sinθ 6L g L sinθ g sinθ 6L 0. A projectile is projected with an initial velocity ^4it + tj hm/s. Here t j is the unit vector directed vertically upwards and unit vector i t is in the horizontal direction.velocity of the projectile (in m/s) just before it hits the ground is - 4i t - t j 4 i t + t j - 4i t + t j 4 it - t j 0. What is the approximate percentage error in the measurement of time period of a simple pendulum if maximum errors in the measurement of length l and gravitational acceleration g are % and 7% respectively? 0 % % % % t + th 0. EH$ àjoß` H$mo àmapå^h$ doj 4i j m/s Ho$ gmw àjo{nv {H$`m OmVm h & `hm± jt BH$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$m doj ( r./go.) hmojm - 4i - j 4 i t + t j - 4i + j 4 it - t j 0. EH$ 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 % % % % ^ -AD ] [ ] [ PTO

6 04. A gas undergoes the cyclic process shown in figure.the cycle is repeated 00 times per minute. The power generated is 04. 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 00W 60W 00W 60W 0W 40W 0W 40W 0. Three charges lie on the frictionless horizontal surface at the vertices of equilateral triangle as shown in figure. Two charges X and Y are fixed whereas third charge Z is released. Which path will charge Z take upon release? 0. 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 (fixed) h VWm Vrgam Amdoe Z wº$ {H$`m OmVm h Vmo wº$ H$aZo Ho$ Cnam V Amdoe Z Ûmam H$m Zgm nw (path) AnZm`m OmVm h? nw IV nw I nw IV nw I nw II nw III nw II nw III 06. There are two waves having wavelengths 00cm and 0cm and same velocity 0m/s. The beat frequency is Hz Hz 06. Xmo Va J {OZH$s Va JX Ü` 00cm VWm 0cm h VWm g mz doj 0m/s h & {dñn X Amd {V hmojr Hz Hz Hz 4Hz Hz 4Hz -AD ] [ 6 ] [ Contd...

7 07. Two polaroids A and B are placed with their polaroid axes 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? 07. Xmo nmobamobs> (Y«wdH$) A VWm B EH$ Xygao 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$s Vrd«Vm Š`m hmojr? 0.866I 0 0.I 0 0.I 0 0.7I Laser light has following property laser light does not have directionality property laser light is white light laser light is highly coherent laser light always lies in X-rays region 09. A particle is moving in translatory motion. If momentum of the particle decreases by 0%, kinetic energy will decrease by % 0% 9% 0% 00. Which of the statement is incorrect about the simple microscope? It is not used for magnification of an object at far away from the observer. Magnification of microscope is inversely proportional to the least distance of distinct vision. A convex lens of microscope with shorter focal length yields higher magnification. Biology students use to see the slides I 0 0.I 0 0.I 0 0.7I booa àh$me {ZåZ JwU aivm h booa àh$me {XemË H$ JwU Zht hmovm h booa àh$me œov hmovm h booa àh$me AË`{YH$ H$bmgå~Õ hmovm h booa àh$me h oem EŠg {H$aU joì hmovm h 09. EH$ 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% 00. gmymau(gab) gyú Xeu Ho$ ~mao H$m Zgm H$WZ AgË` h? àojh$ go Xya pñwv dñvw Ho$ AmdY Z Ho$ {be `h Cn`moJ Zht AmVm 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 Xyar Ho$ CÎmb b g go A{YH$ AmdY Z àmá hmovm h Ord {dkmz Ho$ {dúmwu ñbmbs> H$mo XoIZo H$m bovo h & -AD ] [ 7 ] [ PTO

8 0. 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 8πSR 6πSR 64πSR 0. 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? More than 00 Km/hr Zero 00 Km/hr Less than 00 Km/hr 0. A system undergoes a reversible adiabatic process. The entropy of the system may increase or may decrease increases decreases remains constant 04. For the combination of gates shown here, which of the following truth table part is not true 0. 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 8πSR 6πSR 64πSR 0. `h m{ze {H$ AmnH$mo 00 km Xya {X r H$mo 400 km/hr go OmZm h VWm 00 km/hr go bm Q>Zm h & AmnHo$ Bg Xm ao H$s Am gv Mmb Š`m hmojr? 00 Km/hr go A{YH$ eyý` 00 Km/hr 00 Km/hr go H$ 0. EH$ {ZH$m` EH$ CËH«$ Ur` éõmoî àh«$ go JwOaVm h & {ZH$m` H$s E Q monr (entropy) ~ T> `m KQ> gh$vr h ~ T>oJr KQ>oJr AMa ahvr h 04. ZrMo {XE JE VH $ Ûmam Ho$ g `mooz Ho$ {be {ZåZ gë` gmaur H$m H$m Zgm ^mj gë` Zht h A = 0, B = 0, C = 0 A =, B =, C = A =, B = 0, C = A = 0, B =, C = 0. A narrow white light beam fails to converge at a point after going through a converging lens. This defect is known as diffraction polarization spherical aberration chromatic aberration A = 0, B = 0, C = 0 A =, B =, C = A =, B = 0, C = A = 0, B =, C = 0. 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 {ddv Z Y«wdU Jmobr` {dnwz duu` {dnwz -AD ] [ 8 ] [ Contd...

9 06. 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. 06. 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~xw 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 07. 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? 40 sec 0 sec 0 sec 0 sec 08. 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? R R R R 07. Xmo ì`{º$ A VWm B EH$ hr OJh go EH$ dj na {dnarv {XemAm AMa Mmbm 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$~ { b Jo? 40 sec 0 sec 0 sec 0 sec 08. EH$ 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$g {Xem bjojm? Towards upwards Towards the left Towards the right Towards downwards 09. Consider one dimensional motion of a particle of mass m. It has potential energy U = a + bx where a and b are positive constants. At origin (x = 0) it has initial velocity ν 0. It performs simple harmonic oscillations. The frequency of the simple harmonic motion depends on b, a and m alone b alone b and a alone b and m alone D$na H$s Va $ ~m`t Va $ Xm`r Va $ ZrMo H$s Va $ 09. EH$ m Ðì` mz Ho$ H$U H$s EH$ {d r` J{V na {dmma H$s{OE & BgH$s pñw{vo D$Om U = a + bx h Ohm± a VWm b YZmË H$ {Z`Vm H$ h & yb {~ÝXw (x = 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, a VWm m na Ho$db b na Ho$db b VWm a na Ho$db b VWm m na -AD ] [ 9 ] [ PTO

10 00. The postulate on which the photoelectric equation is derived is light is absorbed in quanta of energy E = hυ electrons are restricted to orbits of angular momentum n h π where n is an integer. electrons are associated with wave of wavelength h λ = where p is p momentum. light is emitted only when electrons jump between orbits. 0. 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? 00. àh$me {dúwv g rh$au {ZåZ go {Og A{^J hrv (H$ënZm) na ì`wënýz H$s JB h dh h : àh$me H$m AdemofU D$Om Ho$ ³dm Q>m E = hυ Ho$ ê$n hmovm h & BboŠQ moz Ho$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$s Va JX Ü` h λ = h Ohm± p g doj h & p àh$me V^r CËnÞ hmovm h O~ BboŠQ moz EH$ H$jH$ go Xygao Hy$XVm h & 0. EH$ 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$m KZËd Š`m hmojm? 76 kg/m 776 kg/m 94 kg/m 04 kg/m 0. A string fixed at both ends has a standing wave mode for which the distances between adjacent nodes is 8cm. For the next consecutive standing wave mode distances between adjacent nodes is 6cm. The minimum possible length of the string is 04 cm 88 cm 7 cm 44 cm 0. A wire loop that encloses an area of 0cm has a resistance of 0Ω. The loop is placed in a magnetic field of.4t with its plane perpendicular to the field.the loop is suddenly removed from the field. How much charge flows past a given point in the wire? 0 C C.4 0 C. 0 4 C 76 kg/m 776 kg/m 94 kg/m 04 kg/m 0. EH$ añgr XmoZm {gam go O S>dV h VWm EH$ AàJm r Va J {dym H«$ mjv {ZñnÝXm Ho$ Ü` Xyar 8cm h & AJbr H«$ mjv AàJm r Va J {dym H«$ mjv {ZñnÝXm Ho$ Ü` Xyar 6cm h & añgr H$s Ý`yZV bå~mb hmojr 04 cm 7 cm 88 cm 44 cm 0. EH$ 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$gr q~xw go {H$VZm Amdoe àdm{hv hmovm h? 0 C C.4 0 C. 0 4 C -AD ] [ 0 ] [ Contd...

11 04. 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? 04. 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~xw P h Vmo q~xw P na {dúwv {d^d {H$VZm hmojm? q πε o a q πε o a q πε 0 a q πε o a 0. Shown below is a graph of current versus applied voltage for a diode. Approximately what is the resistance of the diode for an applied voltage of.v? q πε o a q πε o a q πε 0 a q πε o a 0. 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? Ω Zero Ω 06. 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 in the horizontal circle. 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 07. Which of the following Material has lowest resistivity? Copper Constantan Silver Manganin Ω eyý` Ω 06. 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 Xya O rz na pñwv EH$ hdm Ho$ H$U H$s J{V Am gv ê$n go {H$g àh$ma àx{e V hmojr? `h EH$ jo{vo d Îm J{V H$aVm h & `h D$na ZrMo EH$ XmobZr ê$n J{V H$aoJm & `h ^o{ S>`o go Xya 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$aoJm & 07. {ZåZ go g~go H$ à{vamoyh$vm dmbm nxmw h Vmå~m H$m ñq>ozz Mm Xr ¾tZ -AD ] [ ] [ PTO

12 08. 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 4V V V V/ 09. 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 8 minutes 4 minutes 6 minutes minutes 040. 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? 4000C 6000C 000C 8000C 04. 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 08. 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~xw A na Ðd H$m doj V h & q~xw A na nmb n H$s {ÌÁ`m R h VWm Ðd àdmh H$s {Xem XyañW q~xw B na nmb n H$s {ÌÁ`m R h Vmo q~xw B na Ðd H$m doj Š`m hmojm? 4V V V V/ 09. EH$ 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 8 { ZQ> 4 { ZQ> 6 { ZQ> { ZQ> 040. 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$VZm Amdoe àdm{hv hþam? 4000C 000C 6000C 8000C 04. EH$ 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 Bω l 0 Bωl Bωl Bω l 0 Bωl Bωl -AD ] [ ] [ Contd...

13 04. 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 flux through the surface is Φ E. Three additional charges are now added along the x axis: q R at x = -, + q at x = R and 4q at R x =. The flux through S is now 7Φ E 4Φ E Φ E 6Φ E 04. 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 approximate value of the total current (i.e. sum of the current drawn by the three devices) through circuit? 0A 8A 7A 40A 044. 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? 04. 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 x Aj Ho$ AZw{Xe {ZåZ Vah go aio OmVo R h q Amdoe x = - na, +q Amdoe R x = na VWm 4q Amdoe na h & A~ gvh S go nm[av âbšg hmojm 7Φ E 4Φ E Φ E 6Φ E 04. 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? 0A 7A 8A 40A 044. 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? 8A 8A A A 8A 8A A A 04. 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 60V 4V 48V 80V 04. 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 60V 48V 4V 80V -AD ] [ ] [ PTO

14 046. An electron is at ground state of the H atom. Minimum energy required to excite the H atom into second excited state is.ev 0.eV.4eV.6eV 047. 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 no change There is change only in magnitude There is change only in direction There is change in both magnitude and direction 048. Magnetic susceptibility of diamagnetic materials is of the order of (SI units) +0 4 to Magnitude of binding energy of satellite is E and kinetic energy is K.The ratio E/K is /4 / / 00. 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? 046. 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?.ev.4ev 0.eV.6eV 047. 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$mo ZJÊ` m{ze) H$moB n[adv Z Zht hmojm 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 048. à{vmwå~h$s` nxmw H$s Mwå~H$s` àd {V H$s H$mo{Q> (SI BH$mB ) hmojr +0 4 to 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 / / 00. {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? 6 m/s, 4m/s 6m/s, 6m/s 6m/s, 4m/s 6 m/s, 4 m/s 6 m/s, 4m/s 6m/s, 6m/s 6m/s, 4m/s 6 m/s, 4 m/s -AD ] [ 4 ] [ Contd...

15 0. What will happen if a cell is placed into 0.4% (mass/volume) NaCl solution Cell will dissolve Cell will swell Cell will shrink there will be no change in cell volume 0. 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? AB C ABC A B C 4 A B C 04. 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 4 XYZ X ZY X Y 4 Z 0. If an element A is placed in electrochemicals series above element B but below element C, then the order of oxidation power of elements B > A > C A > B > C C > B > A C > A > B 06. What will be the decreasing order of stability of following carbocations? CHEMISTRY / agm ZemñÌ 0. 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$m {db` hmo Om`oJr H$mo{eH$m y${bv hmojr H$mo{eH$m {ghw$ S> Om`oJr H$mo{eH$m Ho$ Am`VZ o H$moB n[adv Z Zht hmojm 0. # 0-8 moba HCl {db`z H$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$m AUw gyì Š`m hmojm? AB C ABC A B C 4 A B C 04. `{X EH$ `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 4 X ZY XYZ X Y 4 Z 0. `{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? B > A > C C > B > A A > B > C C > A > B 06. {ZåZ H$m~m}YZm`Zm Ho$ ñwm{`ëd H$m KQ>Vm hþam H«$ hmojm > > > 4 > > > 4 > > > > > > 4 > 4 > > > > > > 4 > > > 4 > > > > > > 4 > 4 > > > -AD ] [ ] [ PTO

16 07. In above reaction P and Q are 07. Cnamo³V A{^{H«$`m P VWm Q h 08. The one electron species having ionization energy of 4.4 evs H Be + Be + He Which of the following set of quantum numbers represents the highest energy of an atom? n = 4, l = 0, m = 0, s = - n =, l = 0, m = 4, s = + n =, l =, m =, s = + n =, l =, m =, s = In OF, oxygen has hybridization of None of the options sp sp sp Amongst NO, AsO, CO, ClO, SO - - and BO the non-planar species are SO, ClO and BO CO -, SO - AsO -, CO - NO -, CO - and BO - and SO - and BO EH$ BboŠQ moz ñnrero {OgHo$ Am`ZZ D$Om 4.4 BboŠQ moz dmoëq> h - H Be + Be + He {ZåZ go H$m Zgo ³dm Q> g»`mamo H$m g yh na muw H$s CƒV D$Om H$mo {Zé{nV H$aVm h n = 4, l = 0, m = 0, s = - n =, l = 0, m = 4, s = + n =, l =, m =, s = + n =, l =, m =, s = OF Am ŠgrOZ H$m g H$aU h BZ go H$moB {dh$ën Zht sp sp sp NO, AsO, CO, ClO, SO - BO - SO - go Ag Vb ñnrero h - -, ClO VWm BO - VWm BO - VWm SO - VWm BO CO -, SO - AsO -, CO - NO -, CO - Am a -AD ] [ 6 ] [ Contd...

17 06. The Lewis acidity of BF is less than BCl even though fluorine is more electronegative than chlorine. It is due to stronger p-p(cl) π - bonding stronger p p (F) σ - bonding stronger p p(f) π - bonding stronger p p (Cl) σ - bonding 06. The IUPAC name of the compound is: 06. 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(cl) π - ~ÝYZ à~b p p (F) σ - ~ÝYZ à~b p p(f) π - ~ÝYZ à~b p p (Cl) σ - ~ÝYZ 06. `m {JH$ H$m AmB.`y.nr.E.gr.Zm h -carbamoylhex--enal -methyl-6-oxohex--enamide 6-keto--methyl hexamide -carbamoylhexanal 064. The IUPAC name of - H$m~m} mo`bhošg --BZob - o{wb-6 Am ŠgmohoŠg--BZm mbs> 6-H$sQ>mo -- o{wb hošgm mbs -H$m~m} mo`bhošgozob 064. {ZåZ H$m AmB.`y.nr.E.gr. Zm h is is -carbamoylhex--enal -Bromo--chloro--fluoro-6-iodo benzene -Bromo--chloro--fluoro--iodo benzene 4-Bromo--chloro--iodo--fluoro benzene 06. Which of the following compounds contain at least one secondary alcohol? -H$m~m} mo`bhošg --BZob -~«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 06. {ZåZ `m {JH$m go {H$g H$ go H$ EH$ {ÛVr` EëH$mohb h? (i), (iii), (v) (i), (ii), (iv), (vi) (i), (ii), (iii) (i), (ii), (iii), (v) (i), (iii), (v) (i), (ii), (iv), (vi) (i), (ii), (iii) (i), (ii), (iii), (v) -AD ] [ 7 ] [ PTO

18 066. Transition state (T.S.) is structurally most likely as: 066. g amzmë H$ ê$n go g H«$ U AdñWm (T.S.) A{YH$ g mz h product intermediate transition state (T.S.) intermediate 067. The decreasing order of electron affinity is: Br > Cl > F > I F > Cl > Br > I Cl > F > Br > I I > Br > Cl > F 068. The isomerism exhibited by following compounds [Co(NH ) 6 ][Cr(CN) 6 ] and [Cr(NH ) 6 ][Cr(CN) 6 ] is Polymerisation isomerism Linkage isomerism Coordination isomerism Ionization isomerization 069. For the reaction SO + O (excess) " SO the order of reaction with respect to O is three zero one two 070. Friedel Craft reaction is not related with: Reduction Sulphonation Nitration Acylation CËnmX (product) Ü`dVu (intermediate ) g H«$ U AdñWm (T.S.) Ü`dVu (intermediate ) 067. BboŠQ moz AmË r`vm (~ YwVm) H$m KQ>Vm hþam H«$ h - Br > Cl > F > I F > Cl > Br > I Cl > F > Br > I I > Br > Cl > F 068. AYmo{bpIV `m {JH$m [Co(NH ) 6 ][Cr(CN) 6 ] VWm [Cr(NH ) 6 ][Cr(CN) 6 ] Ûmam g md`vm àx{e V hmo ahr h - ~hþbh$sh$au g md`vm ~ÝYZr g md`vm Cnghg `mooz g md`vm Am`ZZ g md`vm + Ho$ {be O Ho$ gýx^ (gmnoj ) A{^{H«$`m H$s H$mo{Q> h VrZ eyý` 069. A{^{H«$`m SO O (excess) " SO EH$ Xmo 070. «$sso>b-h«$mâq> A{^{H«$`m {ZåZ{bpIV go gå~ {YV Zht h AnM`Z gë $mo{zh$au ZmBQ rh$au E{g{bH$aU 07. Compound has the 07. `m {JH$ Ho$ {be CngJ h following prefix Anti Z E trans EÝQ>r Z E Q m g -AD ] [ 8 ] [ Contd...

19 07. The molecule C O has a linear structure. This compound has σ and 4 π bonds 4 σ and 4 π bonds σ and π bonds σ and π bonds 07. The structure of XeF and NH respectively are bent, see-saw bent, tetrahedral linear, pyramidal linear, see-saw 074. The number of lone pair(s) of electrons - on the central atom in 6 BrF 4@,XeF6 and - 6 SbCl are, respectively., and 0,0 and, 0 and 0, and 07. Which one is not the property of crystalline soild? High intermolecular forces isotropic Sharp melting point A definite and regular geometry 076. For a non-volatile solute: all of the options vapour pressure of solute is zero vapour pressure of solvent is zero vapour pressure of solution is more than vapour pressure of solvent 077. Micelles are: ideal solution gel associated colloids adsorbed catalyst 078. Milk is an emulsion in which: lactose is dispersed in water Milk fat is dispersed in water a solid is dispersed in water a gas is dispersed in water 07. AUw C O H$s g amzm a pih$ h & Bg `m {JH$ σ VWm 4 π Am~ÝY 4 σ VWm 4 π Am~ÝY σ VWm π Am~ÝY σ VWm π Am~ÝY 07. XeF VWm NH H$s g amzme± h H«$ e ~ {H$V T>ÝHw$br (gr gm ) ~ {H$V, MVwî $bh$s` a pih$, {nar{ {S>` a pih$, T>ÝHw$br (gr gm ) XeF VWm SbCl Ho$ Ho$ÝÐr` na muw na EH$mH$s BboŠQ moz `w½ m H$s g»`m h H«$ e, VWm 0,0 VWm, 0 VWm 0, VWm 07. H$m Zgm EH$ {H«$ñQ>br` R>mogm H$m JwU Zht h? Cƒ AÝVampÊdH$ ~b g X {eh$ VrúU JbZm H$ {~ÝXþ {Z{üV Ed {Z`{ V Á`m{ Vr` 076. EH$ Admînerb {dbo` Ho$ {be {X o JE g^r {dh$ën ghr h {dbo` H$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 077. { gob h AmXe {db`z Oob ghmmar H$mobmBS> A{Yemo{fV CËàoaH$ 078. XÿY EH$ nm`g h {Og bošq>mog H$m Ob n[ajonu ahvm h XÿY dgm H$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 -AD ] [ 9 ] [ PTO

20 079. 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 080. Which graph shows zero activation energy for reaction? 079. `{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$s EÝWoënr hmojr- 4 kj mol +4. kj mol +4 kj mol 4. kj mol 080. A{^{H«$`m (reaction) Ho$ {be H$m Zgm J«m $ eyý` g{h«$`u D$Om Xem Vm h? 08. Which of the following is correct for a first order reaction? t/ \ a t/ \ a 0 t/ \ t/ \ a a gm of NH is present in 0 ml volume. Its active mass is:.0 ML.0 ML 0. ML. ML 08. 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 08. àw H$mo{Q> H$s A{^{H«$`m Ho$ {be {ZåZ go H$m Zgm ghr h? t/ \ a t/ \ a t/ \ t/ \ a a ml 8.0 J«m A mo{z`m CnpñWV h & BgH$m g{h«$` Ðì` mz h -.0 ML.0 ML 0. ML. ML 08. A{^{H«$`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? K K = K K = K = K K = K 0 -AD ] [ 0 ] [ Contd...

21 pair is known as geometrical isomers erythro stereoisomers threo stereoisomers structure isomers 08. Which defect in any crystal lowers its density? Interstitial F centre Frenkel Schottky 086. 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? When Grignard reagent reacts with ketone it yields Ethanol o alcohol o alcohol o alcohol 089. Formula of Bleaching powder is: CHCl CCl CHO CaOCl Ca(OH) 090. The geometry around the central atom in + ClF 4 is trigonal bipyramidal square planar square pyramidal octahedral `w½ H$hbmVm h Á`m{ {V g md`r E[aW«mo {Ì{d g md`r {W«`mo {Ì{d g md`r g amzm g md`r 08. {H$gr {H«$ñQ>b H$m Zgr Ìw{Q> BgHo$ KZËd H$mo H$ H$aVr h A VamH$mer F Ho$ÝÐ «$Ho$b emoq>h$s 086. 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 muwam H$s g»`m Š`m hmovr h? O~ {J«Ý`ma A{^H$ H$ H$sQ>m Z go A{^{H«$`m H$aVm h Vmo àmá hmovm h - EWoZmob EëH$mohb EëH$mohb EëH$mohb 089. ãbrqmj nmcs>a H$m gyì h 090. ClF 4 + CHCl CCl CHO CaOCl Ca(OH) Ho$ÝÐr` na muw Ho$ Mmamo Amoa Á`m{ {V h - {ÌH$moUr` {Û {nam{ S>r` dj g Vbr` dj {nam{ S>r` Aï> $bh$s` -AD ] [ ] [ PTO

22 09. Among the following, the equilibrium which is NOT affected by an increase in pressure is Fe( s) + 4HO( g)? FeO4( s) + 4 H( g) SO( g)? SO( g) + O( g) H( g) + I ( s)? HI( g) C( s) + H O( g)? CO( g) + H ( g) 09. In the manufacture of ammonia by Haber s process N ( g) + H ( g)? NH ( g) + 9.kJ Which of the following conditions is unfavourable? Removing ammonia as it is formed Increasing the temperature Increasing the pressure Reducing the temperature 09. Which of the following compounds can exhibit both geometrical isomerism and enantiomerism? CH - CHOH - COOH CH - CH = CH - CH 09. Xm~ ~ T>mZo na {ZåZ go H$m Zgm gmå` à^m{dv Zht hmovm h Fe( s) + 4HO( g)? FeO4( s) + 4 H( g) SO( g)? SO( g) + O( g) H( g) + I ( s)? HI( g) C( s) + H O( g)? CO( g) + H ( g) 09. ho~a àh«$ 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? A mo{z`m Ho$ {Z m U Ho$ gmw BgH$m {ZH$bZm Vmn ~ T>Zm Xm~ H$m ~ T>Zm Vmn H$m KQ>Zm 09. {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 - CHOH - COOH CH - CH = CH - CH 094. Which of the following reacts fastest with conc. HCl? CH = CH CH OH 094. gmýð HCl Ho$ gmw {ZåZ go H$m Zgm Vrd«V ê$n go A{^{H«$`m H$aVm h CH = CH CH OH (CH ) COH 09. A polymer which is commonly used as a packaging material is Bakelite. Polypropylene Polythene PVC (CH ) COH 09. ~hþbh$ Omo gm Ý`V`m nxmwm] H$s noqh$j H$m AmVm h ~ Ho$bmB Q> nmobr{wz nmo{bàmonrbrz PVC -AD ] [ ] [ Contd...

23 096. Which pair does not represent the cyclic compound of the molecular formula C 4 H H$m Zgm `w½ C 4 H 6 AUw gyì dmbo MH«$s` `m {JH$ H$mo àx{e V Zht H$aVm h 097. Product P in the above reaction is: 097. Cnamoº$ A{^{H«$`m CËnmX P h 098. The structure of carboxylate ion is best represented as: 098. H$m~m}pŠgboQ> Am`Z H$s g amzm H$m g~go AÀN>m {Zê$nU h Which one of the following is not a unit of energy? kg m s Nm kg. ms lit-atm 00. When a liquid that is immiscible with water was steam distilled at 9. C at a total pressure of 99.6 KPa. The distillate contained.7gm of the liquid per gram of water. What will be the molar mass of the liquid if the vapour pressure of water is 8.40KPa at 9. C? 8 gm mol 4. gm mol 0.74 gm mol 99.6 gm mol 099. {ZåZ go H$m Zgr D$Om H$s BH$mB Zht h? kg m s kg. ms Nm lit-atm 00. EH$ 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? 8 gm mol 4. gm mol 0.74 gm mol 99.6 gm mol -AD ] [ ] [ PTO

24 0. log, log6, log are in None of the options G.P. MATHEMATICS / J{UV A.P. H.P. 0. log, log, log 6 h BZ o go H$moB {dh$ën Zht A.P. G.P. H.P. 0. If p, q, r, s, t and u are in A.P. then difference ( t - r) is equal ( u - q) ( s - p) ( u - q) ( s - r) 0. Value of 7_ log ai _ log bi _ log cia 04. If b c a log abc 0 abc p = log π + log π + then 4 p >. < p < < p <.. < p < 0. `{X p, q, r, s, t VWm u g mýva lour (A. P.) h Vmo AÝVa ( t - r) ~am~a h ( u - q) ( s - p) ( u - q) ( s - r) 0. _ log ai _ log bi _ log ci 04. {X 7 A H$m mz h b c a log abc 0 abc p = log π + log π + Vmo 4 p >. < p < < p <.. < p < 0. x In the expansion of f + p midterm is x x + x 0 f p Ho$ {dñvma o Ü nx h If roots of equation of x + x + = 0 are a, b and roots of x + px + q = 0 a b are, b a then value of p + q is {X g rh$au x + x + = 0 Ho$ yb, h VWm x + px + q = 0 Ho$ yb, b p + q H$m mz h & + a b a b a Vmo 07. / a The value of Determinant / b bc ca None of the options / c ab 0 ( a - b) ( b - c) ( c - a) a b c ( a - b) ( b - c) ( c - a) a b c 07. gma{uh$ / a bc a / b ca b / c ab c H$m mz h $ BZ o go H$moB {dh$ën Zht 0 ( a - b) ( b - c) ( c - a) a b c ( a - b) ( b - c) ( c - a) -AD ] [ 4 ] [ Contd...

25 - x x If > H > H + > - H= > H, the value of x is None of the options Consider A and B two square matrices of same order. Select the correct alternative > H is not unit matrix. A + B must be greater than A If AB = 0 either A or B must be zero matrix AB must be greater than A 0. Function f : N " N, f( x) = x + is Many -one Into function One-one Onto function One-one Into function Many- one Onto function. If domain of the function f( x) = x - 6x + 7 is (, ) then its range is (, ) (, ) [, ) [, ]. 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 08. {X - x x 8 > > + > - = > H H H H h Vmo x H$m mz h BZ o go H$moB {dh$ën Zht EH$ 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$WZ gë` h > H BH$mB o{q >³g Zht 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 0. $bz f : N " N, f( x) = x + h ~hþeoh$s AÝVj}nr EH $H$s AmÀN>mXH$ EH $H$s AÝVj}nr ~hþeoh$s AmÀN>mXH$. {X $bz f( x) = x - 6x + 7 H$m àmýv (, ) h Vmo BgH$m n[aga hmojm (, ) (, ) [, ) [, ]. `{X Xmo ~bm P VWm Q Ho$ 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 Xyar 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 4 L L -AD ] [ ] [ PTO

26 4. Three forces each of magnitude F are applied along the edges of a regular hexagon as shown in the figure. Each side of hexagon is a. What is the resultant moment (torque) of these three forces about centre O? 4. 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$m n[aum r AmKyU Š`m hmojm? af af af af. The coordinates of a moving point particle in a plane at time t is given b y x = a ( t + sin t), y = a( - cos t). T h e magnitude of acceleration of the particle is a a a a 6. A point particle moves along a straight line such that x = t where t is time. Then ratio of acceleration to cube of the velocity is A body of mass m falls from rest through a height h under gravitation acceleration g and is then brought to rest by penetrating through a depth d into some sand. The average deceleration of the body during penetration into sand is gh gh d d gd gh h d 8. A normal is drawn at a point ( x, y ) of the parabola y 6x makes equal angle with both x and y axes. Then point ( x, y ) is (, 4) (4, 4) (, 8) (4, 8) 9. Two vectors A = and B = 4 are perpendicular. Resultant of both these vectors is R. The projection of the vector B on the vector R is...4 af af af af. EH$ Vb J{V mz EH$ {~ÝXþ H$U H$m g ` t na {ZX}em H$, x = a ( t + sin t), y = a( - cos t) h Vmo H$U Ho$ ËdaU H$m n[a mu h a a a a 6. EH$ {~ÝXþ H$U EH$ gab aoim x = 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 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 gd h 8. nadb` y 6x gh d gh = Ho$ {~ÝXþ ( x, y ) na EH$ A{^bå~ Ir Mm OmVm h `h A{^bå~ XmoZm Ajmo x VWm y Ho$ gmw ~am~a H$moU ~ZmVm h Vmo {~ÝXþ ( x, y ) d h (, 4) (4, 4) (, 8) (4, 8) 9. Xmo g{xe A = VWm B = 4 nañna bå~dv h & BZ XmoZm g{xemo H$m n[aum r R h & g{xe B H$m g{xe R na àjon hmojm...4 -AD ] [ 6 ] [ Contd...

27 0. A vector R is given by R = A # _ B # Ci Which of the following is true? None of the options R is parallel to A R must be parallel to B R must be perpendicular to B. Solution of the differential equation dy e x - y x - = + e y is dx - -y x x e = e + + c -y x x e = e + + c y -x x e = e + + c y x x e = e + + c. Solution of the differential equation dy _ x + y i = y is dx 4 xy + xy = cy y + cy = x x + y = y + c y + cx = y. Value of the following expression is lim ( n ) n " n 6 4. If function f( x) = x sina x k ; x! 0 * a ; x = 0 is continuous at x = 0, then value of a is None of the options 0. The derivative of y = x sinx is sin cos x log x + x x cos x x sin x - sin x sin x - x sin x sinx acos x log x + x x k 0. EH$ g{xe R {ZåZ Ûmam {X`m OmVm h R = A # _ B # Ci Vmo {ZåZ go H$m Zgm H$WZ gë` h? BZ o go H$moB ^r {dh$ën Zht 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. AdH$b g rh$au dx hb h e -y - x = x e + + c -y x x e = e + + c y -x x e = e + + c y x x e = e + + c dy = e + x e x - y - y H$m. AdH$b g rh$au _ x + y i = y H$m dx hb h 4 dy xy + xy = cy y + cy = x x + y = y + c y + cx = y. {ZåZ ì` OH$ H$m mz h lim n " 6 ( n ) n f x x a x k x! 0 a ; x = 0 4. `{X $bz ( ) = sin ; * x = 0, na gvv h Vmo a H$m mz h BZ o go H$moB ^r {dh$ën Zht 0. y x sinx = H$m AdH$bO h sin cos x log x + x x cos x x sin x - sin x sin x - x sin x sinx acos x log x + x x k -AD ] [ 7 ] [ PTO

28 6. The tangents to curve y = x - x + x - which are parallel to straight line y = x are x - y = and x - 86 y = 7 x - y = and x + 86 y = 7 x + y = and x + 86 y = 7 x + y = and x - 86 y = 7 7. The value of lim cos h x - cos x x " 0 x sin x 8. Value of Maxima of x a x k is e e e a e e k a e e k is = na ItMr JB 6. dh«$ y x x x ñne aoimamo Omo {H$ gab aoim y = x Ho$ g mýva h Ho$ g rh$au h x - y = VWm x - y = x - y = VWm x + y = 7 x + y = VWm x + 86 y = 7 x + y = VWm x - 86 y = 7 7. lim cos h x x " 0 x sin - H$m mz h cos x x 8. $bz x x a k H$m C{ƒîQ> mz h e e e a e e k a e e k 9. The value of the integral sin - x dx 0 ( - x ) π π - log + log 4 π π - log - log w 9. - sin x dx w $Ho$ g mh$b H$m mz 0 ( - x ) π π - log + log 4 π π - log - log 0. Integral of + cos x - tan tan x d c n + - sin x log ( + cos x) + c sin x log ( + cos x) + c tan - a tan xk + c. The eccentricity of an ellipse 9x + 6y = 44 is H$m g mh$b h cos x - tan tan x d c n + - sin x log ( + cos x) + c sin x log ( + cos x) + c tan - a tan xk + c. {XE JE XrK d V 9x + 6y = 44 H$s CËHo$ÝÐVm h 7 4 -AD ] [ 8 ] [ Contd...

29 . Taking axes of hyperbola as coordinate axes, find its equation when the distance between the foci is 6 and eccentricity is x - y = 64 x - y = 8 x - y = 6 x - y =. For a circle x + y = 8, what is the equation of chord whose mid point is (, ) x - y + = 0 x - y - = 0 x + y + = 0 x - y + = 0 4. The condition so that the line lx + my + n = 0 may touch the parabola y = 8x m = l n m = 8l n m = l n 8 m = l n. The equation of that diameter of the circle x + y - 6x + y - 8 = 0 which passes through the origin is x - y = 0 6x - y = 0 x + y = 0 x + y = 0 6. If z is a complex number then ( z + ) ( z + ) is z - ( z + ) z + z + i 7. If z is a complex number then which of the following statement is true? _ z z i is nonnegative real _ z - z i is purely real _ z + z i is purely imaginary _ z z i is purely imaginary 8. If ω is the cubic root of unity, then value of the ( + ω - ω ) + (- ω + ω ) + is 7. 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$s Xyar 6 h VWm CËHo$ÝÐVm h x - y = 64 x - y = 8 x - y = 6 x - y = + = H$s Cg Ordm H$m g rh$au Š`m hmojm, {OgH$m Ü` {~ÝXþ. d Îm x y 8, (, ) h x - y + = 0 x - y - = 0 x + y + = 0 x - y + = 0 4. dh ev Š`m hmojr O~ aoim lx + my + n = 0 nadb` y = 8x H$mo ñne H$a gho$ = m = l n m 8l n m = l n 8 m = l n = H$m ì`mg (Omo {H$ yb {~ÝXþgo JwOaVm h ) H$m g rh$au Š`m hmojm?. d Îm x y 6x y 8 0 x - y = 0 6x - y = 0 x + y = 0 x + y = 0 6. {X z EH$ gpå l g» m h Vmo ( z + ) ( z + ) ~am~a h z - ( z + ) z + z + i 7. {X z EH$ gpå l g» m h Vmo {ZåZ go H$m Zgm H$WZ gë h? _ z z i AG$UmË H$ dmñv{dh$ h _ z - z i {dewõ dmñv{dh$ h _ z + z i {dewõ H$mën{ZH$ h _ z z i {dewõ H$mën{ZH$ h 8. {X ω BH$mB H$m KZ yb h Vmo ( + ω - ω ) + (- ω + ω ) + H$m mz h 7 -AD ] [ 9 ] [ PTO

30 9. If, _ + i i = a + ib, Here a and b are real, then the value of b is _ i 0 _ i 40. If f( θ) = ( sec θ + cos θ), then its value always f( θ ) $ 4 f _ θi < f _ θ i = 4 > f( θ) > 4. If cot x - tan x =, then generalized solution is (here n is integer) nπ π π x = + x = nπ π nπ π x = nπ + x = 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 4 4. sin θ cos θ - sin θ cos θ is equal sin θ sin 4θ 4 cos θ sin 4θ cos θ sin 4θ sin θ If sin C cos A = sin B, then ABC is none of the options Isosceles triangle equilateral triangle right angle triangle 4. Value of the tan 9 cos - a kc is 0-9. {X + i = a + ib _ i h a VWm b dmñv{dh$ h Vmo b H$m mz h _ i 0 _ i = + h Vmo BgH$m 40. {X f( θ) ( sec θ cos θ), mz gx d f( θ ) $ 4 f _ θi < f _ θ i = 4 > f( θ) > - =, h Vmo ì`mnh$ hb h (`hm± n EH$ nyumªh$ h ) 4. {X cot x tan x nπ π π x = + x = nπ π nπ π x = nπ + x = 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$s Mmb h m/ s m / s 00 m / s 4 00 m/ s - ~am~a h 4. sin θ cos θ sin θ cos θ sin θ sin 4θ 4 cos θ sin 4θ cos θ sin 4θ sin θ {X sin C cos A = sin B, h Vmo ABC h BZ o go H$moB {dh$ën Zht g {Û~mhþ {Ì^wO g ~mhþ {Ì^wO g H$moU `wº$ {Ì^wO 4. {ZåZ tan cos a k 0-9 C H$m mz h -AD ] [ 0 ] [ Contd...