Solution - Career Point

SECTION – IVInteger answer typeThis section contains 8 questions. The answer to each ofthe questions is a single-digit integer, ranging from 0 to9. The appropriate bubbles below the respectivequestion numbers in the ORS have to be darkened. Forexample, if the correct answers to question numbers X,Y, Z and W (say) are 6, 0, 9 and 2, respectively, thenthe correct darkening of bubbles will look like thefollowing :X Y Z W0123456789012345678912. 3 ampere current was passed through an aqueoussolution of an unknown salt of Pd for one hour,2.977g of Pd n+ was deposited at cathode. Find n.(At. wt. of Pd = 106.4)13. Consider the following reaction sequenceCa(OH)⎯⎯⎯∆⎯ 201234567890123456789NH NH2KOH / glycolO / H2O23O ⎯⎯⎯⎯ →W ⎯⎯⎯→X→ YC 5H COOOH6⎯⎯⎯⎯⎯→ZHow many carbons are present in the final product Z?14. For the reaction in the plant cells6CO 2 (g) + 12H 2 O (l) → C 6 H 12 O 6 (s) + 6O 2 (g)+ 6H 2 O(l) ∆ r Gº = 3000 kJ/mol3–ATP → ADP + PO 4 ∆ r Gº = – 30 kJ/molGlucose is stored in the plant cell as starch,(C 6 H 10 O 5 ) n . To produce 162 g of starch how manymoles of ATP are minimum required ? Give youranswer after divide actual answer by 100.15. The relative lowering of the vapour pressure of anaqueous solution containing a non-volatile solute is0.0125. What is the molality of the solution. Giveyour answer after multiplying actual answer by 10.16. A polyvalent metal weighing 0.1g and having atomicweight 51 reacted with dil. H 2 SO 4 to give 43.9 ml ofhydrogen at STP. The solution containing the metalin this lower oxidation state(X), was found to require58.8 mL of 0.1 N KMnO 4 for complete oxidation.What is the higher oxidation state (Y) of the metal ?17. The stopcock, connecting the two bulbs of volumes5 litres and 10 litres containing an ideal gas at 9 atmand 6 atm respectively, is opened. What is the finalpressure (in atm) in the two bulbs if the temperatureremained the same ?18. Sum of lone pairs present in XeOF 4 and XeO 3 is ….. .19. Total number of isomers are possible in [Co(en) 2 Cl 2 ]and [Co(C 2 O 4 ) 2 (NH 3 ) 2 ] – is.MATHEMATICSSECTION – IStraight Objective TypeThis section contains 4 multiple choice questions. Eachquestion has 4 choices (A), (B), (C) and (D), out ofwhich ONLY ONE is correct.n41. Let ∑ r = f (n) , thenr=1∑ ( 2r −1)r=1is equal to(A) f(2n) – 16 f(n) (B) f (2n) – 7f (n)(C) f(2n – 1) – 8 f(n) (D) None of these⎛ α α ⎞2. If f r (α) = ⎜cos + isin ⎟ ×2 2⎝ r r ⎠thenn →nn⎛ 2α2α⎞ ⎛ α α ⎞⎜cos + isin ⎟ …. ⎜cos+ isin ⎟22⎝ r r ⎠ ⎝ r r ⎠lim f (π) equals∞(A) –1 (B) 1(C) – i(D) i3. If α, β, γ, δ are four complex numbers such that δγ isreal and αδ – βγ ≠ 0, then z =t ∈ R represents a(A) circle(C) ellipse4(B) parabola(D) straight lineα + βt,γ + δt4. The inflection points on the graph of functionxy =∫( t −1)(t− 2) 2 dt are0(A) x = –1 (B) x = 3/2(C) x = 4/3 (D) x =1SECTION – IIMultiple Correct Answers TypeThis section contains 5 multiple correct answer(s) typequestions. Each question has 4 choices (A), (B), (C) and(D), out of which ONE OR MORE is/are correct.XtraEdge for IIT-JEE 64APRIL 2010