13 11 2011 xiii vxy paper i code a

Upload: vishal110085

Post on 14-Apr-2018

221 views

Category:

Documents


0 download

TRANSCRIPT

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    1/20

    13th VXY (Date: 13-11-2011) Review Test-4

    PAPER-1

    Code-A

    ANSWER KEY

    PHYSICS

    SECTION-2PART-A

    Q.1 B

    Q.2 C

    Q.3 B

    Q.4 D

    Q.5 B

    Q.6 C

    Q.7 B

    Q.8 C

    Q.9 A

    Q.10 A

    Q.11 A

    Q.12 D

    Q.13 B

    PART-B

    Q.1 (A) Q,R,S,T(B) P,R,S

    (C) Q,R,T

    (D) P,R,T

    PART-C

    Q.1 0001

    Q.2 0010

    Q.3 0113

    Q.4 0375

    CHEMISTRY

    SECTION-1PART-A

    Q.1 A

    Only V-Group Batch

    Q.2 B

    Only XY Batch

    Q.2 B

    Q.3 D

    Q.4 B

    Only V-Group Batch

    Q.5 COnly XY Batch

    Q.5 D

    Q.6 B

    Q.7 D

    Q.8 D

    Q.9 A

    Q.10 A

    Q.11 A

    Q.12 C

    Only XY Batch

    Q.13 C

    Only V-Group Batch

    Q.13 D

    PART-B

    Only V-Group Batch

    Q.1 (A) PQRT (B) PQS

    (C) QRT (D) PQR

    Only XY Batch

    Q.1 (A) S (B) Q

    (C) P (D) R

    PART-C

    Q.1 0287

    Q.2 4302

    Only XY Batch

    Q.3 0006

    Only V-Group Batch

    Q.3 0004

    Q.4 0002

    MATHS

    SECTION-3PART-A

    Q.1 B

    Q.2 D

    Q.3 B

    Q.4 A

    Q.5 C

    Q.6 D

    Q.7 D

    Q.8 B

    Q.9 C

    Q.10 B

    Q.11 D

    Q.12 C

    Q.13 D

    PART-B

    Q.1 (A) R(B) T

    (C) Q

    (D) P,Q,T

    PART-C

    Q.1 0003

    Q.2 0009

    Q.3 0004

    Q.4 0012

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    2/20

    CHEMISTRY

    Code-A Page # 1

    PART-A

    Q.1

    [Sol. C + O2

    CO2

    mole x x x

    C + 2O2

    1 CO

    mole y 2

    y

    ywt. of C : 12 (x + y) = 2 ....(1)

    wt. of O2

    : 32 (x +2

    y) = 20 ....(2)

    x + y = 1

    x +2

    y

    8

    3

    2

    y , y =

    4

    3, x =

    4

    1

    mass ratio of CO and CO2

    =x44

    y28=

    14

    43

    44

    28

    =

    11

    21Ans. ]

    Only V-Group Batch

    Q.2

    [Sol. Ph

    OH

    /H

    Ph

    C=C

    H

    H

    Me

    additionAnti

    2BrH HBr Br

    Br BrH H

    Me Me

    Ph Ph

    (B)

    Ph

    H H

    Me

    4

    2

    CCl

    Br

    additionAnti

    H HBr Br

    Br BrH H

    Me Me

    Ph Ph

    (C)

    (B) and (C) are diastereomers ]

    Only XY Batch

    Q.2

    [Sol. Optical purity =100

    5.125.87 100 = 75 %

    Racemic mixture = 25 %

    Optical purity = 100pure

    mix

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    3/20

    CHEMISTRY

    Code-A Page # 2

    mix

    =100

    7530 = 22.5 ]

    Q.3

    [Sol. K4[Fe(CN)

    6]

    CN NC G.I.

    K4

    [Fe(CN)6

    ] 6 0 [Ma6

    ] 1

    K4[Fe(CN)

    5(NC)] 5 1 [Ma

    5b] 1

    K4[Fe(CN)

    4(NC)

    2] 4 2 [Ma

    4b

    2] 2

    K4[Fe(CN)

    3(NC)

    3] 3 3 [Ma

    3b

    3] 2

    K4[Fe(CN)

    2(NC)

    4] 2 4 [Ma

    2b

    4] 2

    K4[Fe(CN)(NC)

    5] 1 5 [Mab

    5] 1

    K4[Fe(NC)

    6] 0 6 [Mb

    6] 1

    ________________________

    Total isomers = 10

    K3[Fe(CN)

    6] Same as K

    4[Fe(CN)

    6]

    Total isomers = 10 ]

    Q.4

    [Sol. G = nRT ln

    1

    2

    P

    P

    = nRT ln

    2

    1

    V

    V(P

    1V

    1= P

    2V

    2)

    = P1V

    1ln

    2

    1

    VV = 105 1.2 103 ln

    21

    =84 J Ans. ]

    Only V-Group Batch

    Q.5

    [Sol. (A)

    OH

    3 AlcoholMarkonikoff's product with rearrangement.

    (B)HO CH3

    No rearrangement

    Markonikoff rule followed

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    4/20

    CHEMISTRY

    Code-A Page # 3

    (C) OH

    No rearrangement

    Anti Markonikoff product. ]

    Only XY Batch

    Q.5

    [Sol. (I)

    NH

    lone pair is responsible for aromaticity

    (II)N

    MoreElectronegativity & localized lone pair

    (III) NH2Delocalized more electronegativity

    (IV)

    CH NH2 2

    lone pair localized lone pair ]

    Q.6

    [Sol.

    O

    O

    H

    Ha

    O

    O Ob O = O

    c

    B.O. : a 1

    b 1.5 Bond lengthoderBond

    1

    Hence bond length order

    c

    2 )OH(d)O(d)O(d 22OO3OO2OO

    ]

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    5/20

    CHEMISTRY

    Code-A Page # 4

    Paragraph for question nos. 7 to 8

    [Sol.

    (i)kf

    kbA B

    For t teq dt

    ]B[d

    dt

    ]A[d (Always)

    (ii)dt

    ]B[ddt

    ]A[d

    kf[A]k

    b[B] .....(A)

    At eq. kf[A] = k

    b[B] = 0 .....(B)

    kf 0.63 0.4 = 0

    kf=

    6.0

    4.03= 2

    dt

    ]B[d= 2[A]3 [B] .....(C) ]

    Paragraph for question nos. 9 to 11

    [Sol. FeSO4excess KCN

    (A)

    K [Fe(CN) ]4 6+2

    oxidation(B)

    K [Fe(CN) ]3 6+3

    (C)

    K [Fe(CN) a ]3 3 3

    3CN

    +3a

    4CN

    +4b

    (D)K [Fe(CN) b ]3 2 4

    (i) K3

    [Fe(CN)6]

    Total possible geometrical and structural isomers = 10

    (ii) K3[Fe(CN)

    2b

    4]

    CN NC b G.I.

    2 0 4 [Ma4b

    2] 2

    1 1 4 [Ma4bc] 2

    0 2 4 [Ma4c

    2] 2

    _____________________

    Total isomers = 6

    _____________________

    (iii) ])CN(Fe[K2

    64

    EAN = 262 + 6 2 = 36 ]

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    6/20

    CHEMISTRY

    Code-A Page # 5

    Q.12

    [Sol. M ofNO2

    >CN but SIR will work onNO2

    therefore it can not showM on Phenyl ring. ]

    Only XY Batch

    Q.13

    [Sol. ST-1 : The dipole moment of O2F

    2is not zero : True

    O

    O

    F

    Fa

    Open book like structure.

    D.M. () 0ST-2 : All atoms are lying in the same plane : False

    O

    O

    F

    F

    Open book like structure

    3D structure

    Hence maximum 3 atoms are lying in the same plane. ]

    Only V-Group Batch

    Q.13

    [Sol. ST-1 : False :

    Because electrolysis of aq. solution of magnesium chloride gives H2

    gas at cathode and

    Cl2

    gas at anode.

    ST-2 : True :

    MgCl2

    . 6H2O HCldry

    MgCl

    2(anhydrous) + 6H

    2O ]

    PART-B

    Only V-Group Batch

    Q.1

    [Sol. (A) nCH2=CH2 CH2CH 2 n

    Polymerisation

    (B) CO2H

    OO

    C

    nHOCH2CH OH + nHO C2 2

    OCH2CH C2

    Dacron

    n

    copolymerisation

    H ,

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    7/20

    CHEMISTRY

    Code-A Page # 6

    (C) Polymerisation(1,4 addition reaction)

    [CC = CC]

    C

    n

    (D)n

    nCH =2 CHCH=CH +2 CH 2 CH=CHCH CH CH2 2 nCH =CH2

    CN

    CNcopolymerisation

    ]

    Only XY Batch

    Q.1

    [Sol. F 7.75

    Cl 6.25

    Br 3.25

    I 1.0

    Nucleophilicity order of Xin polar aprotic solvent.

    F> Cl> Br> I (Xis not solvated in DMF)

    Since stability of Xin free state

    F< Cl< Br< I ]

    PART-C

    Q.1

    [Sol. 10C(g) + 4H2 (solid) H

    f

    HfC

    10H

    8(s) = (10 715.5 + 4 436)(5 617 + 6 345.5 + 8 413 + 72)

    = 365 kJ mol1

    C10

    H8

    + 12O2 10CO

    2+ 4H

    2O(l) H =5157 kJmol1

    5157 = 10 (393.5) + 4(286) HfC

    10H

    8(s)

    or HfC

    10H

    8(s) = 78 kJmol1

    |RE| = 36578 = 287 kJmol1 ]

    Only XY Batch

    Q.3

    [Sol. 2H2SO

    4H

    2O + O H

    2S

    2O

    8(X)

    H2S

    2O

    8:

    H OSOOSOH:

    :

    :

    :

    :

    :

    :

    :

    O

    O

    O

    O

    sp3

    sp3

    sp3

    sp3

    sp3

    sp3 ]

    Only V-Group Batch

    Q.3

    [Sol. Process

    (i) Roasting / Calcination

    (ii) Reduction

    (iii) Roasting / Calcination

    (iv) Roasting / Calcination

    (v) Reduction

    (vi) Roasting / Calcination ]

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    8/20

    CHEMISTRY

    Code-A Page # 7

    Q.4

    [Sol. Rate = k' [Sugar]a [H+]b Here conc. of H+ remain constant duration reaction.

    Rate = k' [sugar]a

    k' = k[H+]b

    50

    50010b = 101

    b = 1 Ans]

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    9/20

    PHYSICS

    Code-A Page # 1

    PART-A

    Q.1

    [Sol. E

    =2/

    k

    [sin 45 + sin 45] =

    k22]

    Q.2

    [Sol. m (g + a) cos 60

    qE cos 30 = max.

    30

    30

    60

    Rcosec30

    =2h

    qE

    mamg

    h

    an

    =2

    )ag(

    m2

    3qE

    2h =2

    1a

    nt2

    t =

    m2

    3qE

    2

    ag

    h4

    ]

    Q.3

    [Sol.

    )TT2(AK00

    =dt

    d

    dt

    d=

    dx

    KAdt

    dt

    d

    x1k

    dx

    0

    = AA T

    T0

    dT

    0k

    ln

    2

    0

    x1

    dt

    d

    = A(T

    TT0)

    dt

    d=

    AK0

    (TT0) = )TT2(

    AK0

    0

    TT0

    = 2T0

    ln3T ln3

    T =3n1

    T)13n2(0

    ]

    Q.4

    [Sol. Qene

    = 100

    E =0

    2

    = 200 20

    = 4 1040

    = 35.4 108 C ]

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    10/20

    PHYSICS

    Code-A Page # 2

    Q.5

    [Sol. kxf = Ma

    a

    f f

    a'

    f = Ma'

    a' = aR

    fR =2

    1MR2

    M

    f= a

    M

    f2

    M

    f3= a

    a' =M

    f3

    M

    f2=

    M

    f]

    Q.6

    [Sol. QE = MgQE

    mg

    45

    d

    QV= w

    Q =V

    wd]

    Q.8

    [Sol.dt

    dQ=

    L

    kA(T

    2T

    1)

    65 = 31018

    3.1k

    (TT

    1) = 3104

    3.11

    (13T)

    Tglass = 13T = 0.2T = 12.8

    3.1

    501018 3 = k (12.80.2)

    k =6.12

    50010183

    =14

    1]

    Q.9

    [Sol.

    R2

    )RR(3)RRRR(4R2

    1

    2

    1

    2

    1

    =100

    5

    13

    2

    )RR(R

    )RRRR(

    1

    21

    21

    =

    20

    1

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    11/20

    PHYSICS

    Code-A Page # 3

    20

    19=

    )RR(R

    )RRRR(

    3

    2

    1

    21

    21

    57(RR1

    + R2) = 40 (R1

    2 + RR1

    + R2)

    40R1

    217RR117R2 = 0

    R

    R1

    =80

    1716028917 =

    80

    300917 ]

    Q.10

    [Sol. Idisc

    =2

    1M(R2 + R

    12)

    IRing

    = MR2

    2

    21

    22

    MR

    )RR(M2

    1MR

    =20

    1

    1

    2

    1

    2

    21

    2

    R

    )RR(

    = 20

    1

    10

    19= 1 +

    2

    21

    R

    R

    R

    R1

    =10

    9]

    Q.11

    [Sol.

    r

    k2

    )sin2(R

    k

    r

    k2

    =20

    1 a

    20

    1sin =20

    1

    sin =20

    19= 2a100

    10

    400

    361

    = 2a100

    100

    36100 + 361a2 = 100 400

    361a2 = 100 39 a =361

    39100]

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    12/20

    PHYSICS

    Code-A Page # 4

    PART-B

    Q.1

    [Sol.(A)After first collision,

    v

    v

    v

    pure rotation, after 1/2 rotation

    elastic collision

    only translation.

    (B)

    v

    vm 2m m

    only rotation

    (C)

    /2

    /2

    /2

    /2

    after 1/4 rotation.

    /2 /2

    /2 /2only translation.

    (D)

    /2

    /2

    only rotation. ]

    PART-C

    Q.1

    [Sol. AdE

    =0

    dV

    E 4r2 =0

    2n drr4rk

    =0

    k4

    3x

    r3x

    E = )r()3n(

    k 1n

    0

    n + 1 = 2 n = 1 ]

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    13/20

    PHYSICS

    Code-A Page # 5

    Q.2

    [Sol. For second lens,

    f = 30 cm

    3030x

    x 22x

    u = 30x

    v = 22x

    30

    1

    u

    1

    v

    1

    x22

    1

    x30

    1

    =

    30

    1

    x52x660

    x22x302

    =

    30

    1

    240 = 660 + x252x

    x252x + 420 = 0

    x242x10x + 420 = 0

    x = 42, 10 cm ]

    Q.3

    [Sol. 36 103 = msT

    = 103

    0.09 TT = 400C

    v = v0

    (1 + rT) =9

    1000(1 + 5 105 400)

    =9

    1000(1 + 2 102) =

    9

    1000(1.02) =

    9

    1020= 113.33 cc ]

    Q.4

    [Sol. T =2/mg

    I2

    =2/mg

    3

    m

    2

    2

    =

    30

    2=

    4

    1 =

    4

    15m = 3.75 m = 375 cm ]

  • 7/30/2019 13 11 2011 Xiii Vxy Paper i Code A

    14/20

    MATHEMATICS

    Code-A Page # 1

    PART-A

    Q.1

    [Sol. We have kxxtan22

    32 21

    R

    2cottan,As

    11

    tan1 (x2 + x + k) =4

    x2 + x + k = 1 x2 + x + (k1) = 0

    For required condition, put D > 0 14(k1) > 0 54k > 0 k