# MATHS- Paper-1.pdf

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30. Mar 2023
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### MATHS- Paper-1.pdf

• 1. PART-A Select the correct alternative(s). (One or More than one is/are correct) [20 × 4 = 80] There is NEGATIVE marking. 1 mark will be deducted for eachwrong answer. Q.21 Thevapourpressureofanaqueoussolutionwhichshowelevationinboilingpoint(Tb)equalto1.04°C is found to be 760 torr at 373 K. Find the atmospheric pressure in torr. Given Kb (H2O) = 0.52 K-kg mol–1 [atNormalboilingpoint]. (A*) 787.36 (B) 761.23 (C) 759.08 (D) none of these [Sol: 04 . 1 Tb   Kb = 0.52 K Kg mol–1 molality K T b b    1.04 = 0.52 × molality molality 2 52 . 0 04 . 1     s s 0 P P P molality × M.Wsolvent × 10–3 3 0 10 18 2 760 760 P      3 0 10 36 760 760 P     3 0 10 36 760 760 P      = 27.36 P0 = 760 + 27.36 P0 = 787.36 torr ] Q.22 (I) (II) (III) (IV) (V) (VI) AandB are respectively. (A) I and II (B*) II and IV (C) V and VI (D) I and III XIII Paper-1
• 2. [Sol: ] Q.23 Forwhich of the following dn configurationof octahedral complex (es), can not exist in both high spin andlowspinforms. (A*) d3 (B) d5 (C) d6 (D*) d8 Q.24 For the reaction CO(g) + 2 1 O2 (g) CO2(g) usingdatagivenintableat 298Kfindout incorrect statement(s)among thefollowing. 213 395 ) g ( CO 205 0 ) g ( O 197 110 ) g ( CO ) Kmole / J ( S ) mole / kJ ( H 2 2 o f        (A*) H° > U° for the reaction at 298K. (B*) In standard state condition, the reaction CO(g) + 2 1 O2 (g) CO2(g) attain equilibrium at verylow temperature. (C*) dT ) H ( d   = CV (D*) In a CO, O2 fuel cell electrical energy obtained by cell (at 298 K) > | o combustion H  [CO (g) ]| [Sol: ) g ( ) g ( 2 2 ) g ( CO O 2 1 CO    R P H H H     =          2 2 O CO CO H 2 1 H ] H [ = (–395) – [–110] = –395 + 110
• 3. = –285 kJ R P S S S     =         2 2 O CO CO S 2 1 S S =          205 2 1 197 213 = 213 – 197 – 102.5 = –86.5 J RT n U H g      = RT 2 1 U   U RT 2 1 H      U H    forequilibrium S T H G      S T H O     5 . 86 10 285 S H T 3        = 3294.79 K. kJ 285 H C of . comb O    Electrical energyobtainedbycell at     G K 298 =         S T H = ] 5 . 86 298 10 285 [ kJ 10 5 . 86 298 kJ 285 3 3          = –[–285+25.77] = + 259.23 kJ  Electrical energy< Hcomb. ] Q.25 Whichofthefollowingwill givethreedifferentcompoundsonozonolysis (A) (B*) (C*) (D) [Sol: (B)  + O=CH–CH=O + Three differenceproducts are
• 4. (1) (2) (3) (C) Three difference products are ] Q.26 Potassium chromatesolutionisadded toaqueoussolutionsofmetal nitrate.TheYellowprecipitate thus obtainedareinsoluble in acetic acid. These are subjected toflame test, flame colourof individual ppt. is/are (A)Lilac (B*)Apple green (C) Crimson red (D*)Blue Q.27 A compound 'A'transform bytwo parallelfirst order paths A (g)       ) (min k 1 1 2B (g) k1 = 6.93 × 10–3 min–1 A (g)       ) (min k 1 2 C (g) k2 = 6.93 × 10–3 min–1 If reaction started with pure 'A' with conc. 0.1 mol/Lin a closed container with initial pressure 2 atm. What is thepressure(inatm)developedin container after50 minutes from start ofexperiment. (A) 1.25 (B) 0.75 (C*) 2.50 (D) none of these Q.28 +  2 PhN Cl–  ?      O H3 Finalproductisamixturecontaining: (A*) (B*) (C*) (D*) [Sol: e.g. ofN–N coupling
• 5. +    N N Ph  Q.29 Whichofthefollowingaqueoussolutionofcation(s)give(s)whitepptwithNaOHandNH4OHsolution and formedppt. is/arefurther completelydissolved in one ofthe excess reagent. (A*) Cd2+ (B) Cr3+ (C*) Sn2+ (D)Bi3+ Q.30 Truestatements regardingSN1reaction is/are (A)Perfectracemisationis observed (B) OnlyWaldeninversion is observed (C)Total retentionof configuartion is observed (D*) None of these Q.31  2 3 CO and  3 HCO canbe distinguished by (A*)Phenolphthalein (B*)MgCl2 solution (C*)HgCl2 solution (D)KCl solution Q.32     2 SOCl (A) Major product (A) is: (A*) (B) (C) H2C = CH2 (D) [Sol: i N 2 S SOCl     R– R– In i N S mechanism retentionofconfiguration takes place ]
• 6. Q.33 Which ofthefollowingoptionsis/arecorrectregarding‘P’amongthefollowing (A*) O3 (B*) excess Cl2 water (C*) conc. HNO3 (D) HCl Q.34 Whichofthefollowingisthechainterminationstepduringphotochlorinationofethane: (A*)     Cl CH CH 2 3  CH3–CH2–Cl (B*)      2 3 2 3 CH CH CH CH  CH3CH2CH2CH3 (C*)    Cl Cl  Cl2 (D)    H Cl HCl [Sol: Inchainterminatingsteptwofreeradical reacts. H0 ishighlyunstable. ] Q.35 Whichofthefollowingproperties showasimilartrendonmovingfrom Li to Cswithin thegroup (A*)Ionicmobility (B*) Reactivitytowards water (C)SolubilityofBromidesalt (D*)Thermal stabilityofCarbonatesalt Q.36 Whichofthe followingstatements is / are true: (A*) Major part of energy needed for the heterolysis of C–X bond in SN1 reaction mechanism is obtainedbythe solvation of X– bythe polar protic solvent. (B)Greatersolvationofattackingnucleophile&poorsolvationoftransition statepromotesthereaction bySN2mechanism. (C*) Increase in the no. of phenyl ring at C of C–X causes a shift in mechanism from SN2 to SN1. (D)Allyl & benzyl halides undergo SN2 reactions as theyare primaryhalides which do not give SN1 reaction. Q.37 Whichofthefollowingstatementisincorrect. (A*) O2 is paramagnetic, O3 is also paramagnetic (B) O2 is paramagnetic, O3 is diamagnetic (C*) B2 is paramagnetic, C2 is also paramagnetic (D*) Different observation is found in their bond length when NO NO+ and CO  CO+ Q.38 Inthegivenreaction C7H12 (A)    HBr (A)is: (A*) (B*) (C*) (D)
• 7. [Sol: (A)         HBr H (B)    H (C)    H ] Q.39 Choose the correct statement. (A*) BaCl2 +AcOH + K2CrO4  yellow ppt (B) BaCO3 (s) + K2CrO4  yellow ppt (C) BaCO3 (s) + K2CrO4 + AcOH  No ppt. (D*) SrCO3(s) + K2CrO4 + AcOH  No ppt. Q.40 Which ofthe followingwill givesameproduct withHBrin presence& absenceofperoxide (A*)ethene (B) 1-butene (C*) 2-butene (D)isobutene [Sol: Symmetrical alkaneprovide same product withHBr in presence & absence of peroxide. Mechanismisfreeradicaladdition ]