CHEMISTRY 31 (b) The term cid rin ws coined by Robert Augus 32 (c) Initil At (4-3 moles equilibrium mole mole Hence, mole Hence, number of moles of t equilibrium =2-1=1 mole Number of moles of t equilibrium =4-3=1 mole Number of moles of t equilibrium=2 moles 33 (b) Lyophilic sols re more stble thn lyophobic sols due to the fct tht lyophilic colloids re extensively solvted. 35 (b) =0.0512 36 (c) Crbnion is electron rich species. Stbility of crbnion increses with increse in chrcter of hybrid orbitls of crbon bering the chrge. (25%s-chrcter) (33%s-chrcter) (50%schrcter) 37 (b) It is fct. 38 () The process is clled lke. 39 (b) Meq. of = Meq. of n q of = 0.2 o of 40 (c) The pir of SO 2 nd Cl 2 hs bleching property. In presence of moisture, SO 2 cts s bleching gent. SO 2+2H 2O H 2SO 4+2[H] The nscent hydrogen bleches the colour of the substnce, thus SO 2 bleches by reduction while Cl 2 bleches by oxidtion. H 2O + Cl 2 HCl + HClO HClO HCl + [O] [O] + coloured substnce colourless substnces 41 () No. of neutron=tomic mss tomic number. For No. of neutron 42 () [ ] This rection is reversible rection becuse sodium metborte, [ ] formed by the rection between nd gets hydrolysed to regenerte nd. [ ] If some quntity of polyhydroxy compounds like -1, 2-diol, ctechol, glycerol etc is dded to the rection mixture then the combines with such polyhydroxy compounds to give chelted complex
compound. Due to complex compound formtion, stbility increses nd due to higher stbility of complex, rection moves in forwrd direction. 43 () Only cidic compounds such s cetic cid, phenol nd lcohol rect with sodium metl. Ether is not cidic in nture, hence it does rect with sodium metl. Ethnol sodium ethoxide Acetic cid sodium cette Phenol sodium phenoxide No rection 44 (d) Hypo or sodium thiosulphte is used in the fixing of imge. It dissolves unffected AgBr but leves metllic silver unchnged. Ag r [Ag ] r Hypo soluble 45 (b) PDI nd for nturl polymers is one 46 (c) Rte of diffusion depends upon the moleculr msses of gses. Therefore, the gses which hve equl moleculr mss, hve equl rtes of diffusion. Moleculr mss of Moleculr mss of 48 (c) 49 (b) Oxide I Oxide II Metl, 50% 40% Oxygen, 50% 60% As first oxide is Let tomic mss of % At. Mss of metl Let formul of second oxide is % Therefore, formul of second oxide 50 (c) Trnsition elements show covlency s well s ionic vlency, g n ionic, n covlent. 51 () Thus ve. 52 (c) hs no unpired electron nd thus, dimgnetic. A dimgnetic does not contin ny unpired electron. 53 () [ en ] oordintion number of xidtion number of [ ] 54 () is monomer unit of polythene,., 55 () Mendeleef filed to ssign positions to isotopes on the bsis of tomic mss ccording to his periodic lw 57 (b) In only bonds re present 58 (d) quivlent conductnce specific conductnce where volume in cm contining 1 g equivlent of electrolyte 1. g equivlent is dissolve in
cm 1 g equivlent is dissolve in cm cm to blst furnce, it removes impurities from ore nd forms slg. (1070-1170 K) i i (1470 K) So, 59 () Nturlly occurring mino cids re 20. Hence, number of possible tripeptides 60 () In the metllurgy of iron, when is dded MATHEMATICS 61 (c) We hve, 64 () The product of two orthogonl mtrix is n orthogonl mtrix 65 (d) Given, tn tn { } * 66 () Men of +, - 62 (c) First deduct the things nd rrnge the things in row tken ll t time, which cn be done in wys. Now in spces between them (including the beginning nd end) put the things one in ech spce in ll possible wys. This cn be done in wys. So, the required number 63 (c) Out of 22 plyers 4 re excluded nd 2 re to be included in every selection. This mens tht 9 plyers re to be selected from the remining 16 plyers which cn be done in wys 67 (c) () (no boy in fmily of 4) ( ll girls in it) Hence, the probbility of hving t lest one boy (b) (first crd is n ce) nd Therefore, (second crd is n ce) (both crds re ces) (c) Let guessing correctly one nswer s success. Then, we hve
(d) we hve, Where obtining hed hs been reckoned success. Now, Hence, it is cler tht option (c) is not correct. 68 (c) Given points on the plne re nd Length of intercept with -xis, -xis nd -xis re nd respectively. Eqution of the plne is 69 (c) Let { g g } Put [ { g } g ] 72 (b) Let It is cler tht nd re differentible on nd respectively Thus, is differentible on.now, we hve to check the differentible t Hence, 73 (c) lim lim lim Given, cos cos is differntible on Put sin in LHS cos 70 () We hve, [ g g g g ] [ g g ] [ g g ] tn sin cos tn tn sec tn tn tn 74 (c) We know tht the sum of the products of the elements of row with the cofctors of the corresponding elements is lwys equl to the vlue of the determinnt. 75 (b) It is cler from the figure tht points (2, 2), (4, 2) nd (2, 1) lies outside the fesible be region nd only the point (1, 2) lies in the fesible region 71 (b) For, we hve Thus, we hve { We hve, lim nd lim So, is not continuous t Consequently, it is not differentible there t 76 () Let. Then, Clerly, will be minimum when cos sin is minimum We know tht cos sin cos sin
The minimum vlue of is 77 (d) Given, nd nd nd nd or nd nd polr is It is t distnce from the centre of the ellipse 78 (b) ere tn 79 (d) Since, tn Since, coefficient of coefficient of 84 (c) Hence, the locus of Given tht, nd Let, then Now, ( ) is On equting the coefficient of nd, we get i Now, = And 80 () We hve, i Let nd Then, 81 (d) nd Substituting the vlues of nd in (i), we obtin nd sin ( ) sin...(ii) From Eqs. (i) nd (ii), we get 85 (c) Required volume * + 82 (b) Let nd [ ] At lest one of nd is positive Hence, the polynomil hs t lest two rel roots 83 (b) Let be the pole. Then, the eqution of the
{ } 86 () Given, tn tn cos cos tn tn * + { } { } 87 (b) Let, Then nd Requires limit lim 90 () The contrpositive of So, the contrpositive of is is Applying sine rule, sin nd sin 88 (b) The number of subsets of contining 2, 3 nd 5 is sme s the number of subsets of set { } which is equl to 89 (b) We hve,