Sample Paper-1 Academic Session 2010-11 CLASS IX Physics 1. The quantity of heat required to raise the temperature of 2000 grams of water from 10o to 50o C is (specific heat for water is 1 cal/gram oC) (A) 80 Cal (B) 80,000 cal (C) 8,000 Cal (D) 800 Cal 2. An echo is heared from a distinct cliff after an interval 1.2 seconds. If the speed of sound in the air is 340 m/s. What is distance of cliff (A) 200 m (D) 204 m (C) 198 m (D) 202 m 3. A solid body floating in water has 1 th of its volume above the surface. Density of body is 6 (density of water is 1000 kg/m3) 2500 500 (A) kg/m3 (B) kg/m3 3 3 (C) 2500 kg/m3 (D) 500 kg/m3 6. An airplane moves 400m towards the north, 200 m towards west and then 1200 m vertically upwards, then magnitude of its displacement from the initial position is (approximately) : (A) 1400 m (B) 1500 m (C) 1300 m (D) 1600 m 7. A car is moving with a constant velocity of 5m/sec. A constant retarding force is applied on it to produce a retardation of 2.5 m/sec2. Magnitude of displacement of car in 3rd sec will be : (A) 6.25 m (B) 1.25 m (C) 0 m (D) 2.25 m 8. Which of the following represent uniform motion: (A) (B) Time 9. (C) Time (D) Time Displacement A disc of mass 10 gm. is kept floating horizontally by throwing 10 marbles/sec against it from below. If the mass of each marble is 5 g; calculate the velocity with which the marbles are striking the disc. Assume that the marbles strike the disc normally and rebound downward with the same speed. (A) 9.8 m/sec. (B) 98 m/sec. (C) 0.98 m/sec. (D) .098 m/sec. Displacement 5. Displacement In which of the following cases forces may not be required to keep the(A) Particle going in a circle (B) Particle going along a straight line with variable acceleration (C) The momentum of the particle constant (D) Acceleration of the particle constant Displacement 4. Time A particle moves for 8 seconds. It first accelerates from rest and then retards to rest. If the retardation be 3 times the acceleration, then time for which it accelerates will be : (A) 2s (B) 3s (C) 4s (D) 6s FIITJEE Page 1 2 1 4 th of a given distance with speed 20m/s next th of distance with speed 30m/sec and last th of 7 7 7 distance with speed 40 m/sec. Average speed during the entire journey is : (A) 30 m/sec (B) 26.25 m/sec (C) 25 m/sec (D) none of these 10. A body travels 11. Distance time graph for three different bodies is shown below (A) VA > VB < VC (B) A, B and C are in motion at time t = 0 (C) C will meet with A and B simultaneously during its journey (D) None of these 12. A B distance o C time A body of mass m falls freely through a height ‘h’ from the top of a tower. The velocity just before touching the 3 gh . The work done by the air drag is 2 mgh mgh (A) (B) 4 4 ground is (C) Zero (D) None The force F acting on a body varies with its displacement x as shown in the figure where F is in Newton and x is in meter. The work done in this motion is equal to : (A) 80 J (B) 70J (C) 118 J (D) 108 J 14. For the distance time graph shown below we can say that : (A) VA = VB (B) VA > VB (C) VA < VB (D) none of these distance 13. B A Time 15. Find the displacement of the body in the interval of t = 0 sec to t = 20 sec whose velocity time graph is shown below Velocity 20 m/sec 10 12 18 0 20 Time (sec) -10 m/s (A) 30 m 16. 17. (B) zero (C) 20 m (D) 10 m The vessel shown in the figure has two sections of areas of cross-section A1 and A2. A liquid of density fills both the sections, upto a height h in each. Choose the incorrect option (Neglect atmospheric pressure) : (A) The pressure at the base of the vessel is 2hg (B) The force exerted by the liquid on the base of the vessel is 2hgA2. (C) The weight of the liquid is <2hgA2. (D) The walls of the vessel at the level X exert a downward force hg(A1 A2) A1 h x h A2 A car weighing 3000 kg travelling at a speed of 108 km/hr collides with a building and is stopped in 0.8 s. What is the impulse exerted on the car : (A) 9 × 104 N-s (B) 5 × 104 N-s (C) 4.5 × 104 N-s (D) None of these FIITJEE Page 2 18. A force of 5N acts on mass m1 and produces an acceleration of 8m/sec2 and in mass m2 an acceleration of 24m/sec2. What acceleration would it give if both the masses are tied together. : (A) 5m/sec2 (B) 6m/sec2 (C) 8m/sec2 (D) 10 m/sec2 19. Which of the following speed vs time graph can be obtained in practice? v v (A) (B) (C) t 20. v v (D) t t t You are on a frictionless horizontal plane. How can you get off if no horizontal force is exerted by pushing against the surface(A) by jumping (B) by spitting or sneezing (C) by rolling you body on the surface (D) by running on the plane Chemistry 21. A spherical ball of radius 7 cm contains 56% iron. If density is 1.4 g/cm3, number of mol of Fe present approximately is: (A) 10 (B) 15 (C) 20 (D) 25 (22-24) Assertion/Reason Type Questions Codes : (A) Both A and R are true and R is the correct explanation of A. (B) Both A and R are true but R is not the correct explanation of A. (C) A is true but R is false. (D) A is false but R is true. 22. Assertion (A) : SO2 and SO3 obey “law of multiple proportion”. Reason (R) : Every sample of SO2 contains 1 part sulphur and 1 part oxygen by mass. 23. Assertion (A) : SO2 from oxidation of sulphur or H2S contains sulphur and oxygen in the mass ratio of 1 : 2. Reason (R) : Different samples of a pure chemical substance always contain the same proportions of elements by mass. 24. Assertion (A) : In Fe2+, there are 24 electrons and 30 neutrons and thus, ionic mass is 56. Reason (R) : Ionic mass = neutron + proton and proton = electrons in neutral species. 25. H2S contains 94.11% sulphur; SO2 contains 50% oxygen and H2O contains 11.11% hydrogen. Thus: (A) law of multiple proportion is followed (B) law of reciprocal proportion is followed (C) law of conservation of mass is followed (D) all of the above 26. Sodium combines with (A) gaseous diffusion 27. One isotope of a non-metallic element has mass number 127 and 74 neutrons in the nucleus. The anion derived from the isotope has 54 electrons. Hence, symbol for the anion is : (A) 28. 127 54 X 35 17Cl and 37 17Cl to give two samples of sodium chloride. Their formation follows the law of : (B) conservation of mass (C) reciprocal proportion (D) none of these (B) 127 53 X (C) 74 53 X (D) 74 54 X Among the following groupings which represents the collection of isoelectronic species ? (A) NO, CN–, N2, O2– (B) NO+, C22–, O2–, CO (C) N2, C22–, CO, NO (D) CO, NO+, CN– C22– FIITJEE Page 3 29. When liquid starts boiling, the further heat energy which is supplied : (A) is lost to the surroundings as such (B) increases the temperature of the liquid (C) increases the kinetic energy of the particles in the liquid (D) is absorbed as latent heat of vaporisation by the liquid 30. At the melting point temperature of ice: (A) only ice is present (C) both ice and water are present 31. 32. 33. 34. 35. (B) only water is present (D) none is correct Under which of the following conditions, the distance between the molecules of oxygen gas would increase ? (i) Increasing pressure on oxygen contained in a closed container (ii) some oxygen gas leaking out of the container (iii) Increasing the volume of the container of oxygen gas (iv) Adding more oxygen gas to the container without increasing the volume of the container. (A) (i) and (iii) (B) (i) and (iv) (C) (ii) and (iii) (D) (ii) and (iv) Two substances, A and B were made to react to form a third substance C according to the following equations A + B C Which of the following statements concerning this reaction are incorrect ? (i) The product C show the properties of substances A and B (ii) The product will always have a fixed composition (iii) The product so formed cannot be classified as a compound (iv) The product formed is a homogeneous mixture. (A) (i), (ii) and (iii) (B) (ii), (iii) and (iv) (C) (i), (iii) and (iv) (D) (ii) and (iv) Which of the following correctly represents 180 g of water ? (i) 5 moles of water (ii) 10 moles of water (iii) 6.022 × 1023 molecules of water (iv) 6.022 × 1024 molecules of water (A) (i) and (iii) (B) (i) and (iv) (C) (ii) and (iii) (D) (ii) and (iv) Which of the following statements about Rutherford’s model atom are correct ? (i) electrons have negative charge (ii) the positive charge of the atom is concentrated in the nucleus (iii) neutron exists in the nucleus (iv) most of the space in atom is empty (A) (i) and (iii) (B) (i), (ii) and (iv) (C) (i) and (iv) (D) (iii) and (iv) The first model of an atom was given by : (A) N. Bohr (B) E. Goldstein (D) J.J. Thomson (C) Rutherford 36. Which of the following represents the correct order of evaporation ? (A) alcohol, water, petrol, kerosene oil (B) petrol, alcohol, water, kerosene oil (C) water, alcohol, kerosene oil, petrol (D) kerosene oil, petrol, water, alcohol 37. 44.8 L of CO2 at NTP is obtained by heating x g of pure CaCO3 , x is : (A) 100 g (B) 200 g (C) 50 g (D) 44.8 g Which of the following isotope is used in the treatment of blood cancer ? (A) P-32 (B) I-131 (C) Co-60 (D) Any one of these 38. 39. A student takes a mixture of sand and ammonium chloride in a china dish and heats it under a funnel fitted with a plug over a flame. He would observe that : (A) solid sand gets deposited on the lower cooler parts of the funnel while solid ammonium chloride remains in the china dish (B) sand and ammonium chloride get deposited on hotter parts of the funnel (C) ammonium chloride gets deposited on the cooler parts of the funnel and sand remains in the china dish (D) sand collects on cooler parts of the funnel while ammonium chloride melts in the china dish. FIITJEE Page 4 40. Kerosene oil is a mixture of : (A) Saturated hydrocarbons (C) Aromatic hydrocarbons (B) Unsaturated hydrocarbons (D) Both saturated and unsaturated hydrocarbons Maths 41. 42. Points P, Q, R and S divide the sides of rectangle ABCD in the ratio 1 : 2 as shown in figure. The ratio of area of the parallelogram PQRS to the area of rectangle ABCD is: (A) 2 5 (B) 3 5 (C) 4 9 (D) 5 9 The area of the quadrilateral shown in figure is : (A) 6 cm2 (B) 2 6 cm2 (C) 2 8 cm2 (D) 43. 12 cm2 A positive integer is said to be a prime if it is not divisible by any positive integer other than itself and one. Let ‘p’ be a prime number strictly greater than 3. Then, when p2 + 17 is divided by 12, the remainder is : (A) 6 (B) 1 (C) 0 (D) 8 44. The average of n numbers x1, x2, x3 . . . . xn is A. If x1 is replaced by (x + a) x1, x2 is replaced by (x + a) x2 . . . then the new average is : ( x 1) A n xn nA ( n 1) xn ( n 1) A xn (A) (x + a) A (B) (C) (D) n n n 45. A solid consists of a circular cylinder with an exact fitting right circular cone placed on the top. The height of the cone is h. If the total volume of the solid is three times the volume of the cone, then the height of the cylinder is : (A) 2h (B) 4h (C) 2h/3 (D) 3h/2 46. 47. 48. In ABC, B = 45°, C = 65° and the bisector of BAC meets BC at P. Then the ascending order of sides is : (A) AP, BP, CP (B) AP, CP, BP (C) BP, AP, CP (D) CP, BP, AP In figure, AB = AC, BAD = 30° and AE = AD. Then x is : 1 (A) 7 2 (B) 10° 1 (C) 12 2 (D) 15° If x = (1 x) (1 y ) (1 z ) a b bc ca ,y= ,z= then the value of (1 x) (1 y ) (1 z ) is : ab bc ca (A) abc FIITJEE (B) a2b2c2 (C) 1 (D) –1 Page 5 49. If am . an = amn. Then m(n – 2) + n(m – 2) is : (A) 2n 4 n 1 (B) n (C) 0 (D) n n 1 50. A bag contains 12 balls of two different colours, out of which x are white. One ball is drawn at random. If 6 more white balls are put in the bag, the probability of drawing a white ball now will be double that of the previous probability of drawing a white ball. Then the value of x is : (A) 3 (B) 4 (C) 5 (D) 6 51. In the figure, ABCD is a square with side 10. BD is an arc of a circle with centre A. What is the area of the shaded region ? (A) 100 – 50 (B) 100 – 25 (C) 50 – 100 (D) 75 – 100 52. 53. 54. 56. In the figure, AD BC, BE AC, CF AB, then AF2 + BD2 + CE2 is : (A) OA2 + OB2 + OC2 (B) OD2 + OE2 + OF2 (C) AB2 + BC2 + AC2 (D) AE2 + BF2 + CD2 The value of a a 2 b2 a a 2 b2 a2 a a 2 b2 a a 2 b2 (B) b2 is : b2 a2 3 1 then the value of 4x3 + 2x2 – 8x + 7 is : 2 (A) 10 (B) 8 (C) a b (D) 2(2a 2 b 2 ) b2 If x The real number 22 32 7 2 25 53 32 73 Simplify : ( x y )2 z 2 ( x y z )2 (A) x + y + z FIITJEE (C) 6 (D) 4 will have : (A) Terminating decimal (C) Non-terminating non-repeating decimal 57. C D In the figure, AB is the diameter of a circle with centre O and CD || BA. If BAC = 20° and CAD = 50°, then ADC is : (A) 110° (B)70° (C) 160° (D) 40° (A) 55. B (B) Non-terminating decimal (D) Non-terminating repeating decimal ( x z ) 2 y 2 ( x y ) 2 z 2 2 2 x xy zx x xy zx 1 (B) x y z (C) 1 (D) –1 Page 6 58. In the figure, DE bisects BDA and AD bisects BAC. The measure of BED, if x 59. 60. C 85 is : 3 3 (A) 85° (B) 95° (C) 75° (D) 105° Water flows at the rate of 10 m/min. from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm ? (A) 48 minutes 15 sec. (B) 51 minutes 12 sec. (C) 52 minutes 1 sec. (D) 55 minutes 12 sec. Two places ‘A’ and ‘B’ are 120 km apart from each other on a highway. A car starts from ‘A’ and another from ‘B’ at the same time. If they move in the same direction, they meet in 6hrs and if they move in opposite direction, they meet is 1 hour 12 minutes. Then the speed of each car is : (A) 100 km/hr, 80 km/hr (B) 60 km/hr, 40 km/hr (C) 50 km/hr, 70 km/hr (D) 70 km/hr, 80 km/hr Biology 61. 62. 63. 64. Cellulose digestion of termites is carried out by : (A) Monocystis (B) Trichonympha (C) Trichomonas (D) Lophomonas Contractile vacuole is the characteristic of : (A) Fresh water Amoeba (B) Marine Amoeba (C) Parasitic Amoeba (D) All of the above Kelps are : (A) Fresh water algae (C) Large marine parenchymatous brown algae (B) Sea weeds (D) Large marine parenchymatous red algae The urinary bladder is absent in : (A) Chameleon (B) Snake (C) Snake and Crocodile (D) Wall lizard 65. Which of the following observations most strongly support the view that mitochondria have electron transport system/enzymes? (A) Mitochondria have a property to concentrate in cells which form locomotory structures. (B) Disruption of mitochondria yields membrane fragments which are able to synthesize ATP (C) Mitochondria have folded inner membrane. (D) A contractile protein capable of utilizing ATP is obtained from mitochondria. 66. Meiosis occurs when : (A) RNA is increased 67. (B) DNA is increased Yellow fibres in areolar connective tissue are long and : (A) Parallel (C) Wavy, branched (C) DNA is decreased (D) RNA is decreased (B) Branched and anastomosing (D) wavy with anastomose bundles 68. The type of epithelium found in oesophagus, vagina and urethra is : (A) Stratified squamous epithelium (B) Ciliated epithelium (C) Stratified columnar epithelium (D) Glandular Epithelium 69. Which one has alternate striations and is correctly matched ? (A) Biceps under autonomous control (B) Iris muscles under control of will (C) Heart muscles, involuntary (D) Muscles of visceral organs under autonomous control 70. Blood group is due to : (A) Specific antigen on the surface of WBC (C) Specific antigen on the surface of RBC FIITJEE (B) Specific antibodies on the surface of RBC (D) Type of haemoglobin present in blood Page 7 IQ Direction for questions (71 to 75) : Answer the questions based on the information given below : A cauliflower cold storage was set up in the year 2005. Three types of fresh cauliflowers were put into the storage at the end of the months of February; low quality, medium quality and high quality. Low quality cauliflower decay exactly after two months of its cold storage, medium quality after three months and high quality after four months. Decayed cauliflower are removed and fresh cauliflowers are added to the storage at the end of each month. The following figures indicate the number of cauliflowers of the above three types mentioned as type 1, type 2 and type 3 present in the storage at the start of March, April, May, June and July. Also, it is known that 86 fresh cauliflowers were added to the storage at the end of one of the months. April March May 30 42 40 49 52 53 58 Type 1 Type 2 64 Type 3 Type 1 June Type 2 19 Type 3 Type 1 Type 2 Type 3 July 60 58 102 96 19 Type 1 32 Type 2 Type 3 Type 1 Type 2 Type 3 71. Which of the following correctly represents high quality cauliflowers in the given figures ? (A) Type 1 (B) Type 2 (C) Type 3 (D) Cant be determined 72. How many fresh low quality cauliflowers were added to the storage at the end of the month of May ? (A) 0 (B) 6 (C) 13 (D) 45 73. How many decayed cauliflowers were removed from the storage at the end of the month of June ? (A) 36 (B) 46 (C) 52 (D) 65 74. What can be minimum number of cauliflowers remaining in the storage at the end of the month of July (before fresh cauliflowers were added and after decayed ones were removed) ? (A) 169 (B) 172 (C) 176 (D) 180 75. Which of the following correctly represents low quality cauliflowers in the given figures ? (A) Type 1 (B) Type 2 (C) Type 3 (D) Cant be determined FIITJEE Page 8 Direction for questions (76 to 80) : Above is pipeline network of XYZ water works that manages the drinking water supply of certain city. Each of the pipeline segments has a maximum capacity of 1000 litres per minute. Slack in any pipeline is defined as the extra flow required in it to bring it to full capacity.The magnitudes of the flow in some of the pipelines, along with the directions, and the requirements at some of the hubs are given (both in litres per minute). The magnitude and the direction of flow in pipelines and the requirements at certain hubs are to be found. Note : Every hub except A, which is the only source, has a certain minimum requirement, which for some of the hubs, is indicated in the rectangles next to respective hubs. The flow through the pipe indicated on the top of the line. 76. 77. 78. 79. 80. What is the maximum possible requirement that can be met at the hub I ? (A) 1000 (B) 900 (C) 800 (D) 700 Find the requirement at the hubs H and B put together. (A) 200 (B) 300 (C) 500 (D) 600 Find the slack in the pipeline joining A to D. (A) 0 (B) 300 (C) 400 (D) cannot be determined Find the requirement at the hub E. (A) 200 (B) 300 (C) 100 (D) 400 Find the supply from A if the pipeline connecting D to I has a slack of 400. (A) 2400 (B) 2500 (C) 2600 (D) 2700 * * * * * FIITJEE Page 9

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