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www.horizonpublications.in Answer to Model Test - 1 ANSWER TO MODEL TEST - 1 PHYSICS 1. Ans. (D) Lyman series lies in the UV region. 2. Ans. (B) v2 r It acts along the radius and directed towards the centre of the circular path. Centripetal acceleration a c  3. Ans. (D) 4. Ans. (C)   0  R  4107  2000  8104 5. Ans. (D) Tension in the string T0 = mR  02 In the second case T = m(2R)(4  02 ) = 8 mR  02 = 8T0 6. Ans. (D) From x = n2 2 = n1 1 and     n2 2 = n1 1  92  5898 n 2  n1 1  99 2 5461 7. Ans. (B)  = LI = 5 × 2.5 Wb = 12.5 Wb 8. Ans. (A) According to kirchhoff’s voltage law only option (A) is correct. 9. Ans. (A) 3 2 2g mg  mg  mR2 or mg  mR2 or   5 5 5R 10. Ans. (B) From law of conservation of energy, PE at height nR = (PE + KE) on the earth’s surface GMm GM m 1 2    mv (R  nR) R 2 or v 2 GM  1  n GM  1    2 R  (n  1)  R(n  1) or v MH-CET 2n GM 2ng R 2 2ng R   R(n  1) R(n  1) (n  1) 192 Answer to Model Test - 1 11. HORIZON Publications Ans. (B) R  A1/3 1/3 R Li  7  1    R Fe  56  2 12. Ans. (C) 2 MR 2 5 Using the theorem of parallel axes, moment of inertia of the sphere about a parallel axis tangential to the sphere is 2 7 I '  I  MR 2  MR 2  MR 2  MR 2 5 5 7 I '  MK 2  MR 2  5  7 K    R 5   Given I = 13. Ans. (C) 2 I max I min 2 a  4  b 2   1 2   1 (a  b) 49 b  3       2 2 2 (a  b) 1 a  4  b 2   1   1 b  3  14. Ans. (A) A hoop is a circular ring. Applying theorem of parallel axes. I = I0 + MR2 = MR2 + MR2 = 2MR2 15. Ans. (D) 1 v 2 2 2 v n   5   v5  v 2  v n v2 5 5 5 16. Ans. (C) As no torque is applied I11 = I22 or (M K12 ) 1 = (MK 22 )2  K1 2  K2 1 17. Ans. (C) 18. Ans. (D) 2 2 T    19. Ans. (C) Vm = A and   MH-CET 2 T 193 www.horizonpublications.in Answer to Model Test - 1 Total distance 4A  time T 4A 4A 2A  2Vm    A.S.  T 2 /    Average speed   20. Ans. (D) Vmax = A  A 2 2A K  A T m m 2 K (Vm)P = (Vm)Q K1 K2 A1  A2  m m  A1 K2  A2 K1 21. Ans. (B) 22. Ans. (B) a sin  = 1 , a   5000 108 cm   10 105 cm sin  sin 30o 23. Ans. (C) The Young’s modulus of steel is higher than copper, glass and rubber. 24. Ans. (A) 25. Ans. (D) The electric field inside a conductor is always zero. 26. Ans. (C) The coefficient of linear expansion is defined as increase in length l   original length  temp. rise L  Increase in length l = L. FL Now Y  Al Y Al YAL F   YA or L L 27. Ans. (C) Resultant cohesive force is than FC , if the surface is plane, otherwise if the surface is concave it is less 2 FC . 2 When the surface is concave, adhesive force is greater than cohesive force, so FA  MH-CET FC 2 194 Answer to Model Test - 1 HORIZON Publications 28. Ans. (A) Magnetic moment = IA = M and L = mvr q e e ev  But I    2  r t T 2r v ev evr IA   r 2   2r 2 M evr e    L 2mvr 2m 29. Ans. (D) In one complete turn, the proton crosses the energy gap between dees of cyclotron twice. Energy gained by proton in one movement across the gap = 100 keV = 0.1 MeV. The energy gained in one 20  100 turn = 0.2 MeV. Hence, n  0.2 30. Ans. (D) When ma > 1 then carrier is said to be over modulated. 31. Ans. (A) 4T 4  1.6   2560 N / m 2 P = 3 r 2.5 10 32. Ans. (A) Electric field at the centre of cube is zero. This is because the electric field due to individual charges cancel in pairs. 33. Ans. (B) 34. Ans. (C) After reflection from rigid support, a wave suffers a phase change of . 35. Ans. (A) Comparing with std stationary wave equation, we get 2x x     30 cm  15  Distance between node and antinodes   7.5 cm 4 36. Ans. (A) The electric field due to infinite sheet of charge density  is uniform, that is distance independent. Thus, at point P by the principle of superposition of electric field,   2  2  Ep  ( k)  ( k)  ( k) 20 20 20   37.  4( k) 2 (k) Ep   Ep  20 0 Ans. (A) MH-CET 195 www.horizonpublications.in Answer to Model Test - 1 38. Ans. (A) 39. Ans. (B) B1  0 2 nI R 2 and 4 [R 2  (R 3) 2 ]3/2  0 2 nI 4 R B1 1 1   So, 3/2 B2 (1  3) 8 B2  40. Ans. (A) C 3RT M 1930   3  8.31 103  300 M 3  8.31103  300 2 1930 1930 The gas is H2 M   41. Ans. (D) d d e   (3t 2  4t  9)  (6t  4) dt dt e = –[6(2) + 4] = – 16  |e| = 16 volt 42. Ans. (C) Force  43. Change in momentum  2 mnu time Ans. (B) The given circuit can be redrawn as follows Eeq i R  req E eq  E1r2  E 2r1 5 1  2  2 1   V r1  r2 2 1 3 req  r1  r2 1 2 2    r1  r2 1  2 3  i P1 i Eeq req P2 1/ 3 1  A  0.03A from P2 to P1 10  2 / 3 32 44. Ans. (A) r.m.s. speed does not depend upon pressure. 45. Ans. (A) Larger intensity means more incident photons which ejects larger number electrons. MH-CET 10  196 Answer to Model Test - 1 HORIZON Publications 46. Ans. (C) E 2 T2 500 5    E1 T1 300 3 47. Ans. (D) 48. Ans. (C) Maximum magnetic field due to wire carrying current is at surface and is given by  2I B.R B 0 or I  4 R 2  (0 / 4)   16  5 104   103  2   2A I 7 2 10 49. Ans. (C) Maximum value of generated emf e0 = NBA 50. Ans. (B) CHEMISTRY 51. Ans. (A) (B) (C) (D) (A) Maltose gives two units of glucose on hydrolysis. Sucrose gives glucose and fructose on hydrolysis. Lactose gives glucose and galactose on hydrolysis. Galactose is a monosaccharide. 52. Ans. (C) CH3 CH3 CH3 O | | | || Mg Hg  H 2O dil.H 2SO4 2(CH3 )2 CO   CH3  C  C  CH3   CH3  C  C  CH3 PinacolPinacolone | | | OH OH CH3 2, 3Dimethyl2, 3butanediol 3, 3Dimethyl–2butanone (Pinacol) 53. Ans. (B) CH3 | CH3  C  CH3 2–Methylpropan–2–ol. | OH is a tertiary alcohol. Rate of reaction with Lucas reagent is of the following order: Tertiary alcohol > Secondary alcohol > Primary alcohol. 54. Ans. (A) H = U + PV = U + P(V2  V1) Increase in volume means, V is positive, hence H is greater than U, i.e., H > U MH-CET 197 www.horizonpublications.in Answer to Model Test - 1 55. Ans. (B) Order of carbocations in SN1 reactions is 3oC > 2oC > 1oC. 56. Ans. (A) 1000 K b Wsolute Tb = Wsolvent  M solute New Tb = Tb = 1 1000 K b (2Wsolute ) 1000 K b Wsolute =  2 (4Wsolvent )  M solute Wsolvent  M solute 1 Tb 2 57. Ans. (B) Quartz glass is an amorphous solid because in it short range order of constituents is found. 58. Ans. (C) 59. Ans. (D) SO3H OH OH OH Br  H2SO4 350 Benzene Benzene Sulphonic acid X 60. Ans. (C) 61. Ans. (B) 62. Ans. (B) 9 620 r= = = 219.20 pm. 2 2 2  1.414 63. Ans. (C) (i) R = k [A] 2R = 2k [A] R  [A] Rate  [A][B]0[C]2 Order = 1 + 0 + 2 = 3 64.     CS2 Br2 NaOH Fusion Phenol Y (ii) Br p–bromophenol + o–bromophenol R = k [C] 2.25 R = k [1.5 C]2 2.25 R = 2.25 k [C]2 R  [C]2 Ans. (C) E 0cell = E 0oxi LHS + E 0red RHS Since it is given E 0cell is positive, E 0oxi LHS > E 0red RHS and must be positive Since E 0red =  E 0oxi  E 0cell  0.236 + 0.34 = 0.576 V. MH-CET 198 Answer to Model Test - 1 HORIZON Publications 65. Ans. (B) Tetragonal system has unit cell dimension a = b  c, and  = β =  = 90 66. Ans. (B) Extraction of Zn from ZnS is achieved by roasting followed by reduction with carbon 2ZnS + 3O2   2ZnO + 2SO2. ZnO + C   Zn + CO 67. Ans. (B) Vapour pressure of a solvent decreases by the addition of non-volatile solute in it. On adding water, fraction of solvent is increased and hence vapour pressure is also increased. 68. Ans. (B) Cu2O In the graph of rGvsT for formation of oxides, the Cu2O line is almost at the top. So, it is quite easy to reduce oxide ores of copper directly to the metal by heating with coke (both the lines of C, CO and C, CO2 are at much lower temperature (500-600K). Cu2O + C  2Cu + CO 69. Ans. (C) In aldol condensation, aldehydes or ketones having Hatom undergo a condensation reaction between two molecules in the presence of a base or acid catalyst to form a hydroxy aldehyde (aldol) or a hydroxy ketone (ketol) respectively. O O || || B: CH3  C – H  CH  C –H  2   BH Acetaldehyde O || CH3  C – H Carbanion + O OH O || | || CH2  C – H   CH3 – CH – CH2  C – H Acetaldol (A) and (B) are hydroxy ketone and aldehyde respectively. (D) is not possible because aldol condensation gives only one product, which is the , unsaturated aldehyde or ketone. OH O H | || |   CH3 – CH – CH2 – CH  CH  C = CH  CHO 3 H O 2 Acetaldol 70. Ans. (B) 71. Ans. (A) 72. Ans. (D) O || H  C  OH ; Formic acid MH-CET Crotonaldehyde O || it has – C  H (aldehyde) group. 199 Answer to Model Test - 1 www.horizonpublications.in 73. Ans. (C) Racemic mixture is optically inactive due to external compensation. When the enantiomers are mixed together, the rotation caused by one enantiomer is exactly cancelled by equal and opposite rotation caused by the other enantiomer. 74. Ans. (A) (A) Ethane : CH3 – CH3 (No isomers possible) [same type of Hatoms] (B) propane. : CH3 – CH2 – CH3 (2 isomers possible) [two type of Hatoms] CH3 | (C) 2, 2–Dimethyl pentane : CH3  C  CH 2  CH 2  CH3 | CH3 (4 isomers possible) [4 different type of H-atoms] H | (D) 2 – Methyl propane : CH3  C  CH3 (2 isomers possible) [2 different type of Hatoms] | CH3 Number of isomers depends upon the different types of Hatoms present in the reactant alkane. 75. Ans. (A) 76. Ans. (B) 77. Ans. (B) During discharging of the cell, SO 24  ions (from H2SO4) are consumed by Pb2+ ions to form PbSO4. 78. Ans. (B) | The functional group of secondary amine is  N  H (imino) group. Structures (i) and (ii) are primary amines as they have the NH2 group 79. Ans. (C) 80. Ans. (B) O O || || H CH3CH 2CH 2  C  OH  HO  CH 2CH3   CH CH CH  C  O  CH 2CH3 3 2 2  H 2O Butanoic acid (C4) Opiton (A) will give ethanoic acid (C2) Option (C) will give pentanoic acid (C5) Option (D) will give propanoic acid (C3) 81. Ans. (B) Catenation tendency decreases form S to Po MH-CET 200 Answer to Model Test - 1 HORIZON Publications 82. Ans. (A) HBr HOH CH3 – CH2 – CH = CH2   CH3 – CH2 – CH2 – CH2Br    CH3 – CH2 – CH2 – CH2 –OH H O aq. KOH 2 2 1 – Butene 1 – Bromobutane (X) 1 – Butanol (Y) 83. Ans. (D) 84. Ans. (B) Property : Electron gain enthalpy kJ/mol–1 Halogens : F (–328), Cl (–349), Br (–325), I (–296) 85. Ans. (C) Alcohols and ethers have same general formula CnH2n+2O. Ketones and aldehydes have same general formula i.e. CnH2nO. Given molecular formula satisfies only (C). C3H23+2O = C3H8O. 86. Ans. (C) In set Cu2+, Fe2+, Co2+, all the ions have unpaired d-electrons. Hence, they are all coloured ions Cu+2  [Ar] 3d9 4s0 Fe2+  [Ar] 3d6 4s0 Co2+  [Ar] 3d7 4s0 87. Ans. (B) Nickel has +4 oxidation state. 88. Ans. (C) Proteins are high molecular weight polymers formed by the condensation of a large number of amino acids. Conjugated proteins have a nonprotein part called the prosthetic group. In glycoproteins the prosthetic group is carbohydrate. Casein of milk is a conjugated protein (phosphoprotein). 89. Ans. (D) As the atomic number and nuclear charge increase, the effective nuclear charge experienced by each of 4f-electrons increases. As a result the whole shell containing 4f-electrons contracts at each of the successive element. This result in gradual decrease in the size with increase in atomic number(Lanthanoide contraction). 90. Ans. (B) HI 273 (H3C)3C – OCH3 (CH3)3CI Tert. Butyl iodide + (X) alc. KOH conc. H2SO4 CH3 | CH3  C  CH 2 Isobutylene (Z) MH-CET CH3OH Methyl alcohol (Y)  CH 3OH (Y) 201 Answer to Model Test - 1 www.horizonpublications.in 91. Ans: (C) 92. Ans. (A) Combustion of CH4 is represented as – CH4(g) + 2O2(g)  H = ?  CO2(g) + 2H2O(g) H = fH(products)  fH(reactants) = [(–394.8) + 2(–286)] – [(–76.2) + (0)][f H0(O2)= 0]; enthalpy of an element in its standard state is zero. = – 394.8 – 572 + 76.2 = – 890.6 kJ mole–1 1 m3 = 106 cm3 = 1000 litre 1000 No. of moles of CH4 in 1000 litre at NTP = = 44.643 moles 22.4 Total heat evolved in the combustion of 44.643 moles of methane = 890.6  44.643 = 39759.0558 kJ  4  104 kJ 93. Ans. (A) Chlorophyll contains magnesium metal. 94. Ans. (A) Glucose + Tollen’s reagent  Gluconic acid + Ag-mirror. 95. Ans. (C) On electrolysis; M2+ + 2e–  M at. wt. of M eq. Wt. = 2  1 mole of atom = 2 g – eq. of metal  1 Faraday deposits 1 g –eq. of metal M.  2 Faraday deposits 2 g – eq. (1 mole of atom) of metal M. 96. Ans. (A) 97. Ans. (D) The energy of the ns-orbital depends upon its occupancy. When empty, the ns-orbital is lower in energy than the (n – 1)d-orbital as per the energy level diagram. When the first electron enters the ns-orbital, the (n – 1) d-orbital becomes lower in energy and the electrons starts entering it. However in higher shells the energy levels are very close to each other so as to be almost equal. 98. Ans. (C) CH3 | H3C  H 2C  N  CH 2  CH3 99. Ans. (C) Both enthalpy and intrinsic energy are additive and depend on the quantity of substance in the system. 100. Ans. (A) MH-CET 202 Answer to Model Test - 1 HORIZON Publications BIOLOGY 101. Ans. (A) Mammary gland or breasts are the secondary sexual character of females. At puberty in females they begin to develop under the influence of oestrogen and progesterone. 102. Ans. (A) 103. Ans. (C) 104. Ans. (C) 105. Ans. (C) 106. Ans. (D) 107. Ans. (B) 108. Ans. (A) 109. Ans. (A) 110. Ans. (B) The term Single Cell Protein (SCP) was coined at Massachusetts institute of technology (MIT) by a group of scientist in 1966. It is dried cell of micro-organisms or michrobes (algae, bacteria, actinomycetes and fungi) used as food. 111. Ans. (A) Pons varolii is the only structure which is a commisure as well as connective 112. Ans. (C) 113. Ans. (B) Ornithine cycle occurs in liver in the presence of enzyme arginase. It synthesizes urea. During this cycle, carbon dioxide and water are removed from blood. 114. Ans. (B) 115. Ans. (A) The process of childbirth is usually called labour or parturition. Childbrith begins with a long series of involuntary contractions of the uterus experienced as labour pain. 116. Ans. (D) 117. Ans. (B) 118. Ans. (D) 119. Ans. (A) Transformation of the blastocyst into the gastrula with primary germ layers by rearrangement of the cell is called gastrulation. MH-CET 203 Answer to Model Test - 1 www.horizonpublications.in 120. Ans. (C) 121. Ans. (B) 122. Ans. (D) 123. Ans. (C) 124. Ans. (C) 125. Ans. (B) 126. Ans. (B) 127. Ans. (A) 128. Ans. (B) 129. Ans. (C) 130. Ans. (C) 131. Ans. (B) 132. Ans. (C) 133. Ans. (C) Isogametes are morphologically same. 134. Ans. (D) 135. Ans. (A) 136. Ans. (D) 137. Ans. (B) 138. Ans. (B) Glycolysis takes place in the cytoplasm and does not use oxygen. 139. Ans. (A) 140. Ans. (D) 141. Ans. (C) 142. Ans. (D) The strand of DNA, the enzyme forms DNA fragments in small pieces again in 5’  3’ direction initiating from RNA primer. The primer is formed with the help of primase enzyme. 143. Ans. (C) 144. Ans. (A) MH-CET 204 Answer to Model Test - 1 HORIZON Publications 145. Ans. (C) 146. Ans. (A) 147. Ans. (B) Ductless glands are called endocrine glands. Out of these pituitary, thyroid, adrenal, ovary and testes are endocrine glands. 148. Ans. (C) 149. Ans. (B) 150. Ans. (A) 151. Ans. (A) 152. Ans. (B) Unwindase or helicase takes part in separating the two DNA strands. In prokaryotes, helicase is assisted by gyrase in this function. 153. Ans. (B) 154. Ans. (B) 155. Ans. (C) 156. Ans. (D) 157. Ans. (D) Cretinism is the result of thyroid malfunctioning from a very early stage of development. 158. Ans. (B) 159. Ans. (B) The cavity of Graafian follicle is known as antrum. This is filled with a liquor follicular fluid. 160. Ans. (B) 161. Ans. (D) 162. Ans. (D) 163. Ans. (B) 164. Ans. (D) The generative nucleus of generative cell in pollen tube divides to form two haploid, non motile male gametes. 165. Ans. (B) 166. Ans. (D) MH-CET 205 Answer to Model Test - 1 www.horizonpublications.in 167. Ans. (B) 168. Ans. (D) 169. Ans. (B) 170. Ans. (B) In Krebs cycle, pyruvic acid is oxidised in stepwise manner and energy is released at different steps of this cycle. Through Krebs cycle 24 ATP (12×2 ATP) molecules are produced. 171. Ans. (C) Facial nerve (VII), glossopharyngeal (IX), vagus (X), accessory (XI) and hypoglossal (XII) are arised from medulla oblongata. 172. Ans. (A) 173. Ans. (B) Juxta Glomerular Apparatus (JGA) of kidney releases an enzyme called renin into the blood which converts angiotensin-II increases the blood pressure by causing arterioles constriction. It plays a key role in increasing the blood volume. 174. Ans. (C) 175. Ans. (B) 176. Ans. (A) 177. Ans. (C) 178. Ans. (C) 179. Ans. (D) 180. Ans. (B) 181. Ans. (B) 182. Ans. (C) 183. Ans. (A) PCT is lined by cuboidal epithelial cells provided with microvilli to form brush border. Microvilli increase the surface area for reabsorption. 184. Ans. (C) Exine is made up of sporopollenin (derived from carotenoid) 185. Ans. (A) Vulva comprises a group of structures jointly referred as female external genitalia. These are urethral orifice, vaginal orifice, mons veneris, labia majora, labia minora, vestibule, clitoris, hymen etc. 186. Ans. (A) A small amount approximately 1-2% of sunlight absorbed by plants is utilized for photosynthesis. MH-CET 206 Answer to Model Test - 1 HORIZON Publications 187. Ans. (C) 188. Ans. (C) 189. Ans. (A) 190. Ans. (C) 191. Ans. (A) 192. Ans. (C) 193. Ans. (A) 194. Ans. (B) 195. Ans. (D) During ultrafiltration all constituents of blood get filtered except blood cells and plasma proteins. Hence, the liquid/filtrate is more or less similar to the plasma of blood except plasma proteins. 196. Ans. (C) 197. Ans. (C) 198. Ans. (C) Replicatio of DNA is in unidirectional and Bidirectional 199. Ans. (D) 200. Ans. (D) MH-CET 207