May 2011 - Career Point

16. The vapour pressure of solution M is(A) 39.3 mm of Hg (B) 36.0 mm of Hg(C) 29.5 mm of Hg (D) 28.8 mm of HgThis section contains 7 questions (Q.17 to 23).+3 marks will be given for each correct answer andno negative marking. The answer to each of thequestions is a SINGLE-DIGIT INTEGER, rangingfrom 0 to 9. The appropriate bubbles below therespective question numbers in the OMR have to bedarkened. For example, if the correct answers toquestion numbers X, Y, Z and W (say) are 6, 0, 9 and2, respectively, then the correct darkening of bubbleswill look like the following :X Y Z W0123456789012345678917. A body-centred cubic lattice is made-up of twotypes of atoms, A and B in which A occupy thebody-centre, while B is the corners. Due to someimperfections in the solid, one corner is leftunoccupied per unit cell and formula of the solid isA x B y . Here x is.18. In HCP arrangement of atoms, coordinationnumber of atoms in the same layer is,19. If an aqueous NaCl solution is electrolysed using acurrent of 5 A for 200 min, Volume of Cl 2 (g) inlitres, produced under STP condition is(F = 96000 C).20. Equivalent conductance of 0.2 aqueous solution ofa weak monobasic acid (HA) is 10 S cm 2 equiv –1and that at infinite dilution is 200 S cm 2 equiv –1 .Hence, pH of this solution is.21. How many Faradays of electricity is required forelectrolysis of 72 g of acidified water?22. A 0.4 molal aqueous solution of Na x A has freezingpoint of –3.27º C. If K f of water is 1.86 K kg mol –1 ,the value of x is : (Assume complete of ionizationof salt Na x A).23. Solubility product of PbCl 2 at 25ºC is 4 × 10 –6 . K fof water is 2K kg mol –1 . When PbCl 2 is dissolvedin water its saturated solution, the freezing point⎛ m ⎞ºdecreases by ⎜ ⎟⎠ . The value of "m" is -⎝10001234567890123456789MATHEMATICSQuestion 1 to 7 are multiple choice questions. Eachquestions has four choices (A), (B), (C) and (D), out ofwhich ONLY ONE is correct.1. If tan 2 ⎛ πx⎞⎜ ⎟ f (x) = 1 + cos 2πx+ | f (x)|, then⎝ 9 ⎠f (3) is equal to -11(A)(B) –22 2(C)–12(D)2. If y = x 3 – c and y = x 2 + ax + b touch each other at| a | + | b | + | c |the point (1, 2), thenis equal to -| a + b – c |(A) 1 (B) 0(C) 2(D) None of these3. If the domain of the functionf (x) =1is R then number of2ln ( x + 2ax+ 9 – 3a)integral values of a is -(A) 8 (B) 10 (C) 5 (D) 64. If the vertical distance between the graphs3 52 x + 3 x + 5 xy =& y = k approaches to zero33x– 5 + 2x– 3as x approaches to infinity, then the value of 'k' is -23(A) (B) (C) 1 (D) 03 25. The length of the sub tangent to the curve32x ( x + 1)y = 3at x = 1 is -55 – x81(A) 2020(B) 8121227(C) 2020(D) 276. If (f (x)) (n) represents n th order derivative of thefunction y = f (x) & g(x) = (ln (x)) (5) , then g(x) isalways -(A) increasing and concave up(B) increasing & concave down(C) decreasing and concave up(D) decreasing & concave downXtraEdge for IIT-JEE 51 MAY 2011