SAMPLE PAPER +1 Moving to +2 (Medical) INSTRUCTIONS : 1. This paper contains 45 questions divided in 3 Sections. 3 marks will be awarded for correct answer and –1 for wrong answer. Section A : Physics (Q.1 to 15) Section B : Chemistry (Q. 16 to 30) Section C : Biology (Q. 31 to 45) 2. Sample paper is designed in a way to give a fair idea to a student about the pattern of paper and the type of questions which will be asked in the actual test. 3. Number of questions, total marks, difficulty level of questions and time allotted for the paper might vary in the actual test. 4. Child may use this sample paper as a practice paper to get accustomed to the pattern of actual test. SECTION – A PHYSICS 1. 2. A 6000 kg rocket is set for vertical firing. If the exhaust speed is 1000 ms–1, the gas ejected per second to supply the thrust needed to overcome the weight of the rocket is [Take g = 10 ms–2] (a) 6 kgs–1 (b) 60 kgs–1 (c) 600 kgs–1 (d) 6000 kgs–1 7 5 (b) 4 (c) 3 5 7 (b) (c) 11.3 MR 2 12 (d) MR2 11 MR 2 12 The orbital time-period of a satellite very (a) p RE 4 g (c) p 5. RE g (b) p RE 2 g (d) 2p RE g The density of the atmosphere at sea level is 1.3 kg/m3. Assume it does not 3 (d) 4 From a complete ring of mass M and radius R, a 30º sector is removed. The moment of inertia of the incomplete ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is 9 MR 2 12 close to the surface of the earth is A bullet moving with a velocity of 800 ms–1 passes through two plates of widths d1 and d2. In passing through each of them, it loses a velocity of 200 ms–1. If both the plates offer same resistance to the motion of bullet, then the ratio d1/d2 is (a) 3. 4. (a) change with altitude and g = 10 ms–2, how high would the atmosphere extend? 6. (a) 8 km (b) 10 km (c) 12 km (d) 16 km In a room where the temperature is 30ºC, a body cools from 61ºC to 59ºC in 4 minutes. The time (in minutes) taken by the body to cool from 51ºC to 49ºC 30º TM Forum for Competitions will be (a) 4 (b) 6 (c) 5 (d) 8 Lakshya Forum for Competitions Pvt. Ltd. www.lakshyainstitute.com Chandigarh Centre : TEL. 0172-4612029, 4622029 Panchkula Centre : TEL. 0172-4004028, 4005028 Patiala Centre : TEL. 0175-5012029, 5012030 Bathinda Centre : TEL. 0164-5012028, 5012029 7. Two bars of equal length and the same cross-sectional area but of different thermal conductivities K1 and K2 are joined end to end as shown in Figure. One end of the composite bar is maintained at temperature Th whereas the opposite end is held at Tc (Th > Tc). 10. A fixed mass of ideal gas undergoes changes of pressure and volume starting at L, as shown in figure. If there are no heat losses from the sides of the bars, the temperature Tj of the junction is given by Th Tj Tc K1 K2 l l Which graph shows how temperature (measured in Kelvin) changes with volume ? K 2 (Th + Tc ) (a) K 2 1 K2 (b) K + K (Th + Tc ) 1 2 (c) K1 + K 2 (Th + Tc ) 2 2 (a) 1 (d) K + K (K1Th + K 2 Tc ) 1 2 8. 9. The rectangular surface of area 8 cm × 4 cm of a black body at temperature 127ºC emits energy E per second. If length and breadth are reduced to half of the initial value and the temperature is raised to 327ºC, the rate of emission of energy becomes (a) 3 E 8 (b) 81 E 16 (c) 9 E 16 (d) 81 E 64 The molecules of a given mass of gas have a root mean square velocity of 200 m s –1 at 27ºC and 1.0 × 10 5 Nm –2 pressure. When the temperature is 127ºC and the pressure 0.5 × 105 N m–2, the root mean square velocity in m s–1, is (a) (c) 400 3 100 2 3 (b) 100 2 (d) (b) (c) (d) 100 3 Chandigarh Centre : TEL. 0172-4612029, 4622029 Panchkula Centre : TEL. 0172-4004028, 4005028 Patiala Centre : TEL. 0175-5012029, 5012030 Bathinda Centre : TEL. 0164-5012028, 5012029 Lakshya Forum for Competitions Pvt. Ltd. www.lakshyainstitute.com TM Forum for Competitions 11. Which of the following graphs best 13. Two identical springs of spring constant represents the relationship between k are attached to a block of mass m and absolute temperature of a gas and the to fixed supports as shown. average kinetic energy of the gas When the mass is displaced from its molecules ? equilibrium position, it executes SHM. Its time period is KE KE (a) (b) k T T KE KE (c) (a) 2p m 2k (b) 2p m k (c) 2p 3m k (d) 2p 3m 2k (d) T 12. k m T Which of the following graphs correctly represents the variation 14. A whistle string of frequency 1000 Hz is sounded on a car travelling towards a of cliff with velocity of 18m s–1 normal to b = – (dV/dP)/V with P for an ideal gas the cliff. If c = 330 ms–1, then the aparent at constant temperature ? frequency of the echo as heard by the car driver is nearly b b (a) (b) P P 15. (a) 1115 Hz (b) 115 Hz (c) 67 Hz (d) 47.2 Hz The radius of gyration of a circular plate of radius R, about an axis perpendicular to its plane and bisecting a radius is b b (c) (a) R (d) P TM Forum for Competitions P (c) Lakshya Forum for Competitions Pvt. Ltd. www.lakshyainstitute.com (b) 3R 2 (d) R 2 5R 2 Chandigarh Centre : TEL. 0172-4612029, 4622029 Panchkula Centre : TEL. 0172-4004028, 4005028 Patiala Centre : TEL. 0175-5012029, 5012030 Bathinda Centre : TEL. 0164-5012028, 5012029 SECTION–B CHEMISTRY 16. One commercial system removes SO2 emission from smoke at 95ºC by following set of reactions : 20. At moderate gas is given by : SO2Cl2 + H2O ® H2SO4 + HCl Z = 1 + 0.34p – H2SO4 + Ca(OH)2 ® CaSO4 + H2O kelvin) Assuming the process to be 95% efficient, how many grams of CaSO4 may be produced from 100 g of SO2 ? 18. What is the Boyle’s temperature of this gas ? (b) 83 g (a) 298 K (b) 340 K (c) 202 g (d) 252 g (c) 470 K (d) 680 K 49 r (a) 10x 49x (b) 10r 10x r (c) 49 10r (d) 49x 21. The first I.E. of Na, Mg, Al and Si are in the order : (a) Na < Mg < Al < Si (b) Na < Al < Mg < Si (c) Na < Al < Si < Mg (d) Na > Mg > Al > Si 22. When iodine is dissolved in aqueous potassium iodide, the shape of the Consider the following reaction : species formed is : Cl- (aq) + CrO24- (aq) + H2O(l) ¾¾® (a) linear (b) angular (c) triangular (d) see-saw Cl2(g) + Cr(OH)3 (s) + OH–(aq) If chloride (Cl–) is being consumed at 0.276 mol L–1 s–1, how fast is hydroxide (OH–) produced ? 23. (b) 0.046 mol L–1 s–1 hybridisation of the central atom ? 24. (c) 0.092 mol L–1 s–1 (a) sp2 (b) sp3 (c) sp3d (d) sp3d2 Under what conditions will a reaction that isn’t spontaneous at room (d) 0.465 mol L–1 s–1 temperature become spontaneous as Gases tend to show marked deviation from real gas behaviour at (a) high temperature and high pressure (b) low temperature and low pressure (c) high temperature and low pressure (d) low temperature and high pressure Chandigarh Centre : TEL. 0172-4612029, 4622029 Panchkula Centre : TEL. 0172-4004028, 4005028 Patiala Centre : TEL. 0175-5012029, 5012030 Bathinda Centre : TEL. 0164-5012028, 5012029 A hypothetical AB4 molecule has two lone pairs of electrons on A. What is the (a) 0.166 mol L–1 s–1 19. 160p (p in bar and T in T (a) 49 g A solution of sulphuric acid has density r g/mL and it is x % H2SO4 by weight. The normality of this solution is the compressibility factor for a particular SO2 (g) + Cl2 (g) ® SO2Cl2 (g) 17. pressures, the temperature increases ? (a) DHº = + and DSº = + (b) DHº = + and DSº = – (c) DHº = – and DSº = + (d) DHº = – and DSº = – Lakshya Forum for Competitions Pvt. Ltd. www.lakshyainstitute.com TM Forum for Competitions 25. Given the following reactions with their respective DHºRXN , (c) ln K Reaction I : C(s) + 2H2 (g) ® CH4 (g) (d) ln K DHºRXN = –74.9 kJ DHºRXN = –139 kJ 28. For the equilibrium SrCl2.6H2O(s) ƒ SrCl2.2H2O(s) + 4H2O(g) ; the equilibrium constant Kp = 16 ×10–12 atm4 at 1ºC. If one litre of air saturated with water vapour at 1ºC is exposed to a large quantity of SrCl2.2H2O(s), what weight of water vapour will be absorbed? Saturated vapour pressure of water at 1ºC = 7.6 torr. 1 1 Reaction III : H2 (g) + Cl2 (g) ® HCl(g) 2 2 DHºRXN = –92.3 kJ Calculate the DHºRXN for the following reaction : CH4 (g) + 4Cl2 (g) ¾¾® CCl4 (l) + 4HCl(g) 26. (a) 433.3 kJ (b) –433.3 kJ (c) 217.5 kJ (d) –217.5 kJ Heat absorbed by a system in going through a cyclic process shown in figure is : 29. H V (in L) 30 P (in KPa) 27. (b) 106 p J (c) 102 p J (d) 104 p J Which ln K vs 1/T plot is correct for an equilibrium that shifts toward reactants at higher temperatures ? (b) ln K (a) ln K (b) 3.25 g (c) 2.3 mg (d) 6.4 mg Given the bond enthalpies N = N (711 kJ/mol) and N – N (163 kJ/mol) N N H H N N H H N B N H C Molecule A has the above configuration. To make it have the configuration of molecule C, the p bond in molecule A must be broken thereby forming molecule B where rotation around the N to N single bond occurs. The p bond then reforms giving you molecule C. What is the wavelength of light, l (in nm), required to initiate this process ? 10 (a) 107 p J (a) 6 mg A 30 10 1/T 1/T Reaction II : C(s) + 2Cl2 ® CCl4 (l) 30. (a) 218 nm (b) 310 nm (c) 425 nm (d) 612 nm A beam of specific kind of particles of velocity 2.1 × 107 m/s is scattered by a gold (Z = 79) nuclei. Find out specific charge (charge/mass) of this particle if the distance of closest approach is 2.5 × 10–14 m. (a) 4.84 × 107 C/kg (b) 4.84 × 10–7 C/kg 1/T TM Forum for Competitions 1/T (c) 2.42 × 107 C/kg (d) 3 × 10–12 C/kg Lakshya Forum for Competitions Pvt. Ltd. www.lakshyainstitute.com Chandigarh Centre : TEL. 0172-4612029, 4622029 Panchkula Centre : TEL. 0172-4004028, 4005028 Patiala Centre : TEL. 0175-5012029, 5012030 Bathinda Centre : TEL. 0164-5012028, 5012029 SECTION–C BIOLOGY 31. The sites of protein synthesis with in 36. the cytoplasm of the cell are the : 32. (a) cork layer and phellogen (a) vacuoles (b) mitochondria (b) cork layer, phellogen and phelloderm (c) peroxisomes (d) ribosomes (c) secondary phloem, phelloderm, phellogen and cork layer Sub-phylum Tunicate is also known as: (d) phellem, phellogen and phelloderm (a) Cephalochordata 37. (b) Hemichordata 1 molecule of glucose? (d) Agnatha (a) 30 (b) 18 The tissues of the body are assigned to (c) 12 (d) 6 four principal types. _____________ covers body surfaces, lines cavities and 38. mature Pheretima: (a) epithelial tissue (b) connective tissue (c) muscle tissue 39. (d) nervous tissue (a) 5-9 (b) 14-16 (c) 5-7 (d) 26-35 The living fossil of the Phylum Arthropoda is: Sphincter of Oddi occurs between (a) Laccifer (b) Locusta (a) pylorus and duodenum (c) Limulus (d) Ichthyophis (b) oesophagus and stomach 40. (c) large intestine and small intestine (d) ampulla of vater and duodenum 35. The glandular tissue, clitellum, cover the segments______________ in a ducts, and forms glands: 34. How many ATP are required in the mesophyll cells of C4 plants to produce (c) Urochordata 33. Bark consists of : Notocord is derived from: (a) endoderm (b) mesoderm (c) ectoderm (d) both a and b Chandigarh Centre : TEL. 0172-4612029, 4622029 Panchkula Centre : TEL. 0172-4004028, 4005028 Patiala Centre : TEL. 0175-5012029, 5012030 Bathinda Centre : TEL. 0164-5012028, 5012029 In compact bone, ________________ connect adjacent lacunae providing a pathway for nutrients to pass between osteocytes: (a) lamellae (b) canaliculi (c) osteonic canals (d) blood vessels Lakshya Forum for Competitions Pvt. Ltd. www.lakshyainstitute.com TM Forum for Competitions 41. 43. 1. Coconut tree : Caudex Teeth in Chondrichthyes are modified _____________ scales which are directed________________ 2. Asoka tree : Caudex (a) placoid, forwardly 3. Pinus : Excurrent habit (b) cycloid, backwardly 4. Ficus : Deliquescent Find out the incorrect pair : (c) ctenoid, forwardly (d) placoid, backwardly habit 44. (a) 1, 2 and 3 Syngenesious condition is found in? (a) Poaceae (b) 1 and 2 (b) Brassicaceae (c) 2 (c) Asteraceae (d) 3 and 4 42. (d) Fabaceae Half of pelvic girdle is known as (a) os-innominatum 45. Unicellular forms of Chlorophyceae include: (a) Chlamydomonas and Spirulina (b) ilium (c) synsacrum (b) Chlamydomonas and Chlorella (c) Chlorella and Spirulina (d) suspensorium TM Forum for Competitions (d) Chlamydomonas and Spirogyra Lakshya Forum for Competitions Pvt. Ltd. www.lakshyainstitute.com Chandigarh Centre : TEL. 0172-4612029, 4622029 Panchkula Centre : TEL. 0172-4004028, 4005028 Patiala Centre : TEL. 0175-5012029, 5012030 Bathinda Centre : TEL. 0164-5012028, 5012029 ANSWER KEY PHYSICS 1. (b) 2. (a) 3. (b) 4. (d) 5. (a) 6. (b) 7. (d) 8. (d) 9. (a) 10. (b) 11. (c) 12. (a) 13. (a) 14. (a) 15. (c) CHEMISTRY 16. (c) 17. (c) 18. (d) 19. (d) 20. (c) 21. (b) 22. (a) 23. (d) 24. (a) 25. (b) 26. (c) 27. (c) 28. (d) 29. (a) 30. (a) BIOLOGY 31. (d) 32. (c) 33. (a) 34. (d) 35. (b) 36. (c) 37. (c) 38. (b) 39. (c) 40. (b) 41. (c) 42. (a) 43. (d) 44. (c) 45. (b) Dream on !! š›œ•š›œ• Chandigarh Centre : TEL. 0172-4612029, 4622029 Panchkula Centre : TEL. 0172-4004028, 4005028 Patiala Centre : TEL. 0175-5012029, 5012030 Bathinda Centre : TEL. 0164-5012028, 5012029 Lakshya Forum for Competitions Pvt. Ltd. www.lakshyainstitute.com TM Forum for Competitions
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