UNIFIED COUNCIL A n I S O 9 0 0 1 : 2008 C e r t i f i e d O r g a n i s a t i o n NATIONAL LEVEL SCIENCE TALENT SEARCH EXAMINATION - UN401 (UPDATED) Solutions for Class : 11 (PCB) Biology 11. (D) The respiratory system of cockroach consists of tracheae, tracheoles and spiracles. The oxygen reaches the tissues through tracheoles, tracheae and spiracles by simple diffusion. Cambium is absent in vascular bundles of monocot stem. Hence, vascular bundles are called collateral and closed. Honeybee, cockroach, grasshopper, silverfish and scorpion belong to phylum Arthropoda. The main characteristics of arthropods are jointed appendages. Blood of pheretima is composed of a fluid plasma and colourless corpuscles. The red respiratory pigment haemoglobin occurs dissolved in plasma. 1. (B) The statement “All cells arise from preexisting cells” was made by Rudolf Virchow (1821 - 1902), German professor of pathological anatomy at Berlin. 2. (B) Cyclomorphosis refers to a seasonal polymorphism frequently observed in plankton organisms. It is exhibited primarily by organisms that reproduce throughout most of the year by asexual or parthenogenetic means, giving rise to genetically homogenous clones. 12. (C) 14. (D) 3. (A) Ribosomes are not covered by a membrane. 4. (D) Haematin is a brown ferric iron containing substance obtained from oxyhaemoglobin or from dried blood. 5. (D) Seismonastic movement in mimosa pudica is the result of turgor pressure changing leaf base. Thus, on touching leaves droop down. Endodermal structures: Lining of digestive tract except stomodaeum and proctodaeum, Liver, pancreas, gastric and intestinal glands, middle ear and enstachian tube, respiratory system (lungs, trachea, bronchi) urinary bladder, thyroid, thymes and parathyroid and lining of vagina and urethra. 6. (D) 7. (B) Endoplasmic reticulum is a network of sac like cisternae, vesicles and narrow tubules. It helps in enzyme transport and provides mechanical support. 8. (D) Pteridophytes are vascular cryptogams which have vascular tissues but do not produce seed. 9. (A) 10. (B) 13. (C) 15. (B) 16. (A) 17. (A) 18. (B) Roots of leguminous plants form symbiotic relationship with the bacterium Rhizobium which forms nodules. These root nodules are the sites of nitrogen fixation by this bacterium under anaerobic condition. Sulphur containing amino acids are cysteine and methionine. Cysteine is a nonpolar amino acid. Leptotene, zygotene, pachytene, diplotene, diakinesis. 19. (D) Polysaccharides are formed of numerous monosaccharides. They are sweet and soluble in water. They are large, complex molecules with high molecular weight. They act as storage products or structural components. Examples: Starch, cellulose and glycogen. 20. (D) Transfer RNA or t RNA is the smallest of all the RNA types and is folded to assume the form of a clover leaf. 21. (C) Areolar tissue matrix has white collagen and yellow elastin fibres in equal proportions and fixes skin with muscles. The chloroplasts, chromoplasts and leucoplasts can divide to multiply their number. Lysosomes arise from the Golgi complex. The enzymes of lysosomes digests the organelles thus enclosed. Therefore, lysosomes are also called disposal units. 22. (D) The drops of water appeared along the margins of leaves of tomato plants is due to the process of guttation. It occurs in night when the field is will irrigated and transpiration is reduced. The guttation water is seen along the leaf margins where hydathodes are located. Centrioles occur in all animal cells. They are absent in higher plants. Plant cells form spindle and divide without centrioles. In metaphase chromosomes are arranged in equatorial plate. 23. (C) websit e : www.unif iedcouncil.com 1 24. (B) 25. (B) Glyoxysomes are found only in the plant cells, particularly in the cells of germinating fatty seeds of castor. Leptin is a hormone produced by adipocytes. It regulates the body fat and weight. 26. (B) Actin is a protein part of the light bands of muscle. 27. (C) Young cells of sclerenchyma are living but mature cells become dead due to deposition of impermeable secondary wall. The cells of cork cambium is divided to form cells of cork (phellem) Endodermis Pericycle Phloem. 28. (C) 29. (B) 30. (D) 31. (B) 32. (D) 33. (B) 34. (D) 35. (A) 3RT1 Ma = Squaring, = 43. (C) Sucker is an underground non-green specialized stem branch which grows obliquely towards its apex. It produces roots for attaching to the soil. Assimilatory roots found in Tinospora, Trapa are photosynthetic. These roots develop chlorophyll and synthesize carbohydrates from carbon dioxide and water in the presence of sunlight. Vanda grow as epiphytes upon the trunks or branches of trees they hang freely in the air and absorb moisture with the help of a special sponge like tissue called valeman. The envelope consists of two layers (double membrane) A chloroplast contains thylakoids and mitochordrion contain cristae. 38. (A) Movement of eye ball is controlled by pathetic nerve, oculomotornerve and abducent nerve. 39. (B) Hyoid bone lies at the base of the tongue. It is also called tongue bone. It is a part of skull. Cortisol is a glucocorticoid hormone. It regulates carbohydrate, fat and protein. 39.9 253 2523.7 K 4 T2 T 300 1 1 T1 800 T or T 300 800 T or T2 = 24000 or T = 100 24 = 489.9 K 44. (A) The set of quantities with the same dimensional formula ML2T –3 are luminous intensity and radiant flux. 45. (B) The downward force on the elevator is P = F.v = 44000 4 = 176000 W = 236 hp 46. (B) P Q 3 PQ 1 or P + Q = 3P – 3Q or 2P = 4Q or P = 2Q r12 r22 ....... , radius of gyration n depends on the distribution of mass about the axis of rotation and it is independent of the mass of the body. 47. (A) K = 48. (D) Rate of flow of blood, V = A or = V 200 cm 3s1 0.04 cm s–1 A 0.5 104 cm 2 = 0.4 mm s–1 49. (A) Using = 0 + at, we find t = 0 /a = (30/10) s = 3 s. Also xn = 0 + As n = 3, xn = 5 m. 50. (C) Physics 41. (B) 3RT1 3RT2 M ; T1 a T2 Ma Mh Mh The motor must supply enough power to balance this force. Hence, Parapodia are locomotory organs in Neries of Nematode. A species includes the most closely related organisms. 37. (D) 1 3RT2 M h ; T2 = –20 + 273 = 253 K F = mg + Ff = 3600 10 + 8000 = 44000 N Diaphragm is a complete muscular partition that separates the thoracic cavity. It increases the efficiency of breathing. Ichthyology includes the study of fishes. Cardiac muscle is myogenic. Smooth muscle is autonomic and straited muscle is syncitial. 3RT M Vrms = Given Vrms of argon at T1 = Vrms of He at T2 Aplysia – The sea hare belongs to the phylum Mollusca. Physalia and Aurelia are cnidarians. 36. (D) 40. (A) 42. (A) The net force on the body is zero. Weight of the body is balanced by the reaction of the ground. V = (100 5) V I = (10 0.2) A R= websit e : www.unif iedcouncil.com 2 V 100 10 ohm I 10 a (2n – 1). 2 Thus, force of friction = mg sin 30o R V I V R I = 2 9.8 1 / 2 = 9.8 N. 60. (C) 0.2 7 5 100 10 100 MV = m1v1 + m2v2 or m1v1 + m2v2 = 0 (Because V = 0.) R 7 100 100 7% R 100 51. (C) 52. (A) After the complete cycle, there is no change in the temperature. The internal energy will not change as it depends upon the temperature. Here m = 8000 kg, u = 800 m s dm dt 61. (B) dm dt Time period of a pendulum depends on the acceleration due to gravity. So, pendulum clock cannot be used by astronauts orbiting around the earth to measure the time as there is no gravity. However, they can use a spring clock. = 3000 2 /60 = 100 55. (C) 62. (B) P0 P P1 0 P1 m2 v2 m1 mass volume 87.2 g = 3.488 g cm-3 25cm 3 = 3.5 g cm–3 (Having 2 significant figures) There are 3 significant figures in the measured mass whereas there are only 2 significant figures in the measured volume. Hence, the density should be expressed only in 2 significant figures. Rotational kinetic energy = 1 2 1 2 I MR 2 2 2 2 5 = 1 2 2 (0.05)2 10 J 2 5 = 0.05 J 100 mgh 5 100 10 10 60 t 3 5 63. (B) Force on the base of the vessel = Pressure Area of the base = 3.3 103 W = 3.3 kW In hydraulic lift, the pressure of smaller piston = pressure of bigger piston = F/A = h g A = 0.4 900 10 2 10–3 = 7.2 N 64. (D) = (3000 9.8) / (4.25 10–2) = 6.92 105 N m–2 57. (D) Density = = 54. (C) 56. (A) v1 = K = (1/2)m1 v12 = (1/2) 4 (12)2 = 288 J. dm 8000 10 = = 100 kg s–1 800 dt (Power) P1 = or Hence, kinetic energy is given by To overcome the weight of the rocket, 53. (A) m1v1 = –m2v2 v1 = 12 m s–1 (neglecting –ve sign). dm g = 10 m s , =? dt –2 8000 10 = 800 or Substituting m2 = 8 kg; v2 = 6 m s –1, m1 = 4kg, we get –1 F = mg = u From the law of conservation of linear momentum, dQ = 400 cal. dW = –105 J = –105 / 4.2 cal = –25 cal.; dU = ? dU = dQ – dW dU = 400 – (–25) = 425 cal The acceleration due to gravity on earth’s surface is 9.80 m s–2. After one minute of taking off, the acceleration due to gravity decreases with height and effective acceleration due to gravity = 7.0 m s–2. In earth’s orbit, the effective acceleration due to gravity is zero. On the surface of the moon, the acceleration due to gravity is 1/6th of that of the earth 65. (B) Note dW is negative because work is done on the system. Acceleration due to gravity, g = electric intensity = rate of change of potential = 9.8 1/6 = 1.6 m s–2 10 1 m s–2 100 10 The work done in moving a body of 5 kg upwards through 40 m will be = mgh 58. (Del.) 59. (A) Since the body is at rest on the inclined plane, hence the component of its weight down the plane has been balanced by force of friction. = 5 (1 / 10) 40 = 20 J websit e : www.unif iedcouncil.com 3 Chemist ry 66. (B) bonding and non-bonding pairs of structures. The following trends are evident from the ionization enthalpy – atomic number plot. (i) Noble gases have the highest ionisation energies. As a result these are extremely stable, and do not show any chemical activity. (ii) Alkali metals possess the lowest ionisation energies, indicating their high electropositive nature and high reactivity. (iii) In general, the ionisation energies of elements in a period show a regular increase from left to right. In a group of periodic table, the ionisation energy decreases from top to the bottom. 67. (B) 71. (C) (ii) An element of group 2, whose oxide is soluble in excess of NaOH is Beryllium as shown below. C(s) + O2(g) CO2(g) BeO + 2 NaOH (aq) Na2[Be(OH)4] Beryllium Sodium Sodium oxide hydroxide Beryllate (iii) The element whose dipositive ion has a noble gas core belongs to group 2. BeO + 2NaOH NaBeO2 + H2O Be2+ = 1 s2 Soluble 1 mol ( = 44 g) Amount of CO2 in 35.2 g = 68. (C) 69. (C) 1mol 35.2 g = 0.8 mol 44g Heat released during the formation of 35.2 g CO2 = – 393.5 kJ mol–1 0.8 mol = – 314.8 kJ Among the three isotopes of hydrogen, tritium is radioactive. It emits low energy particles. (Noble gas He core) 72. (C) = 1000 cm3 1.25 g cm–3 = 1250 g Mass of CO2 formed = 0.616 g Therefore, Mass of H2O formed = 0.108 g Mass of the water containing (i) Mass of C in the CO2 formed 85 g of NaNO3 = (1250 – 85) g = 1165 g = 1.165 kg 0.616 12 = g 44 So, Molality (m) of the solution Percentage of C in the compound 1mol = 1.165 kg = 0.86 mol kg–1 0.616 12 100 = 68.85 44 0.244 73. (C) (ii) Mass of H in the H2O formed Given : P1 = 1.00 atm V1 = 175 L = 0.108 2 g 18 P2 = 0.80 atm V2 = ? As temperature remains constant, P1 V1 = P2 V2 (Boyle’s law) Percentage of H in the compound Thus, V2 0.108 2 100 = = 4.92 18 0.244 74. (B) (iii) 70. (B) Molar mass of sodium nitrate (NaNO3) = (23 + 14 + 48) g mol = 85 g mol Mass of 1 dm3 (or 1 litre) of the solution = Volume Density Mass of the organic compound taken = 0.244 g = (ii) Structure 4 has different number of bonding and non-bonding pairs of electrons as compared to other structures. (i) BeO and Be(OH)2 are amphoteric in nature. They react with an acid as well as a base to form respective ions. Be(OH)2 + 2OH [Be(OH)4]2– Beryllate ion Be(OH)2 + 2HCl + 2H2O [Be(OH)4] Cl2 Percentage of O in the compound = 100 – (68.85 + 4.92) = 26.23 The percentage composition of the compound is, C = 68.85, H = 4.92 and O = 26.23. (i) The structures (i), (ii) and (iii) are important for bonding in CO2 molecule as they satisfy all the conditions of similar positions of nuclei, the same number of P1 V1 1atm 175 L 218.75 L P2 0.80atm Wavelength, = 580 nm = 580 10–-9 m Velocity of light, c = 3 108 m s–1 Then, Frequency, c 3 108 m s1 580 109 m 5.17 1014 s 1 5.17 1014 Hz websit e : www.unif iedcouncil.com 4 nhyd = n n Ptotal hyd oxy 1 Wavenumber, 1 580 10 9 m 1.72 106 m–1 75. (C) 10 mol = 10 mol 2.5 mol 1 bar 0.8 bar –50 From the given data, 2.0 10 2 = 2 O O O 1.6 10 3 3 3 81. (D) – 1 in metal hydrides MH, zero in H2 and + 1 in halogen acids. 82. (A) Intramolecular hydrogen bonding is present in O-nitrophenol. 83. (A) Zeolite used for softening of hard water is N a 2 O A l 2 O 3 2 S i O 2 x H 2 O , which is hydrated sodium aluminium silicate. On complete combustion of one mole of butane (C4H10), 2658 kJ of heat is released. The decomposition reaction of H2O2 is 2 3 2 This gives, [O3]2 = 2.0 10-50 (1.6 10–2)3 = 8.2 10-56 or [O3] = 76. (C) 77. (D) 78. (A) 79. (A) 8.2 10 56 2.86 10 2– 28 –1 mol L Isoelectronic species like O , F , Na+ and Mg+2 have the same number of electrons (10). The cation with the greater positive charge will have a smaller radius because of the greater attraction of the electrons to the nucleus. Addition of helium gas to an equilibrium mixture at constant volume does not disturb the chemical equilibrium. As such there is no effect on the relative amount of SO3, O2 and SO2 gases respectively. Element % C 38.8 H 16.0 N 45.2 – At.wt. %/At.wt. 12 3.23 01 16.0 14 3.23 84. (B) 85. (B) 2H2O2 2H2O + O2 Thus, 2 mol (or 4 equivalents) of H2O 2 would give 1 mol (= 22.4 L at NTP) of O2 1 L of 4 equivalent solution of H2O2 has a volume strength of 22.4. Thus, 1 L of 1.5 equivalent (1.5 N) of H2O2 = Ratio 1 5 1 86. (A) Empirical formula = CH6N = CH3NH2 The given characteristics belong to borazine, a compound of boron with the formula B3 N3 H6. (i) It is a colourless liquid with an aromatic smell and is also called inorganic benzene. (iv) Their chlorides are soluble in ethanol. (v) Oxides and hydroxides of both Li and Mg are much less soluble and their hydroxides decompose on heating. (iii) It is isoteric because it has the same number of atoms and electrons as that of benzene. 87. (B) Mass of one e– = 9.1 10–28 g Mass of 1 mole of e– (iv) On heating or by passing silent electric discharge through borazine, it forms a product similar to naphthalene which is also known as inorganic naphthalene. Pressure of the gas mixture = 1 bar = (9.1 10–28) (6.02 1023) g = 54.78 10–5 g = 5.48 10–5 g = 0.000548 g = 0.55 mg Let us consider 100 g of the mixture. 88. (B) Inert gases have large positive electron gain enthalpies as all their sub-shells are completely filled. 89. (C) Decomposition of calcium carbonate is not an application of redox reaction. There is no change in the oxidation number of Ca and C as given below Mass of hydrogen in the mixture = 20 g Mass of oxygen in the mixture = 80 g Using the respective molar masses, nhyd = (i) The similarity between lithium and magnesium is striking particularly in their similar sizes of atomic, ionic radii etc. (ii) They are harder and lighter than other elements in their respective groups. (iii) They form nitrides by direct combination with nitrogen. (ii) It has alternate BH and NH groups in its ring structure. 80. (B) 22.4 1.5 8.4 4 20 g = 10 mol 2 g / mol 2 4 2 80 g noxy = = 2.5 mol 32 g / mol Ca C O3 (s) Then Phyd = Xhyd Ptotal websit e : www.unif iedcouncil.com 5 2 2 Ca O (s) 4 2 C O2 (g) 90. (A) Mass of the substance taken = 0.316 g Then, mass of S in 0.466 g of BaSO4 Mass of BaSO4 formed = 0.466 g From stoichiometry, BaSO4 = S = 233 (molecular mass of BaSO4 32 0.466 32 g 233 Percentage of S in the compound = 137 + 32 + 64 = 233) = websit e : www.unif iedcouncil.com 6 0.466 32 100 20.25 % 233 0.316
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