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Subject Code : 12
CHEMICAL SCIENCES
Time : 2 Hours Maximum Marks: 200
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X–3 12
CHEMICAL SCIENCES
1. A Fe(II) compound which undergoes spin- 4. The exchange capacity increases with
crossover on varying the temperature, increase of pH of
is studied by Mossbauer spectroscopy. (A) cation exchange resin
Which of the following statements is (B) anion exchange resin
(C) both cation exchange resin and anion
correct for this study?
exchange resin
(A) It shows six-line spectra below the (D) exchange capacity does not depend
spin-transition temperature on pH
(B) It shows one-line spectra above the
transition temperature
(C) It shows temperature dependent two
5. Which of the following statements are
line spectra below the transition
correct?
temperature
(D) It shows temperature dependent two (i) The 3rd ionization energy of Eu is
line spectra above the transition less than that of Gd.
temperature (ii) Ce can exist both in 3+ and 4+
oxidation states.
2. The results of analysis of a substance (iii) Yb can exist both in 3+ and 4+
X by two persons are given below: oxidation states.
Person 1 : 4·10, 4·12, 4·09 (% of X) (iv) Most stable oxidation state of U is 6+.
Person 2 : 4·08, 4·20, 4·24 (% of X)
(A) (i) and (iv)
Considering the data given above, which of
the following Statements is correct? Content of X (B) (i) and (ii)
is known to be 4·18% (C) (iii) and (iv)
(A) Result of person 1 is more accurate (D) (ii) and (iv)
but less precise compared to person 2
(B) Result of person 1 is more accurate 6. For which of the following pairs of
and more precise compared to lanthanide, the metallic radii are considerably
person 2 higher than the others?
(C) Result of person 1 is less accurate but (A) Eu, Yb
more precise compared to person 2 (B) Eu, Gd
(D) Result of person 1 is less accurate and (C) Ce, Eu
less precise compared to person 2
(D) Ce, Yb
8. Which of the following statements are true 10. Rate constants for base hydrolysis of some
for Lanthanide? octahedral complexes follow the order:
(i) The observed magnetic moment of 2+ 2+
(A) [Co(NH3)5 NO3] > [Co(NH3)5I] >
Sm3+ is higher than that calculated 2+ 2+
[Co(NH3)5 Cl] > [Co(NH3)5F]
from spin-orbit coupling
2+ 2+
(ii) The observed magnetic moment of (B) [Co(NH 3) 5 F] > [Co(NH3) 5 Cl] >
2+ 2+
Gd 3+ is nearly equal to the [Co(NH3)5I] > [Co(NH3)5NO3]
calculated spin-only value 2+
(C) [Co(NH3)5Cl] > [Co(NH3)5F] >
2+
2+ 2+
(iii) The observed magnetic moment of [Co(NH3)5I] > [Co(NH3)5NO3]
Eu3+ at room temperature is lower 2+ 2+
(D) [Co(NH3)5NO3] > [Co(NH3)5F] >
than that calculated from spin-orbit 2+ 2+
[Co(NH3)5Cl] > [Co(NH3)5 I]
coupling
(iv) The observed magnetic moment of
Ce3+ is nearly equal to the calculated
spin-only value (a) (b) (c)
11. The formal charges on N , N and N in
(A) (i) and (iv)
(a) (b) (c)
(B) (ii) and (iii) the azide anion, [N = N = N] are respectively
(C) (i), (ii) and (iv)
(A) –1, –1, +1
(D) (i) and (ii)
(B) +1, –1, –1
(C) –1, +1, –1
(D) +1, –2, 0
14. Select the correct statement(s) related to 17. The number of EPR lines observed for
nuclear reactor: napthalene radical and napthalene negative radical
(1) In fast reactors, the moderator is are respectively:
efficient and needs no enriched fuel (A) 8, 25
(2) Neutrons in PHWR (B) 128, 128
(Pressurised Heavy Water Reactor) (C) 25, 128
needs no enriched fuel (D) 128, 25
(3) Water at high pressure is very often
used as coolant
(4) No moderator is used as the fission of
239
Pu goes on by both the fast and slow
neutrons 18. Which of the following pairs is not isolobal?
(A) only (4)
(A) Mn(CO)5 , O
(B) only (1), (2) & (3)
(B) Mn(CO)5 , Cl
(C) only (2), (3) & (4)
(C) Fe(CO)4 , O
(D) only (3) & (4)
(D) Mn(CO)5 , CH3
20. Regarding the agostic interaction, 24. In which of the following species, sulphur
C—H -----Ir observed in [Ir (Ph3P)3 Cl], following is not sp3 hybridised?
observations are recorded — (A) SO4
2–
28. If M is a transition metal, the correct order 32. Lewis acidity of the following compounds
of CO stretching frequency is follows the order:
(A) C O > [ M ( C O ) 6 ] > [ ( M e 3 N ) 3 (A) Me3 SnF < Me3 SnCl < Me3 SnBr
–
M (CO)3] > M (CO)6] (B) Me3 SnCl < Me3 SnF < Me3 SnBr
(B) C O > [ ( M e 3 N ) 3 M ( C O ) 3 ] > (C) Me3 SnBr < Me3 SnCl < Me3 SnF
–
[M (CO)6] > [M (CO)6]
(D) Me3 SnBr < Me3 SnF < Me3 SnCl
(C) C O < [ ( M e 3 N ) 3 M ( C O ) 3 ] <
–
[M (CO)6] < [M (CO)6] 33. A penta-coordinated complex of
(D) C O > [ ( M e 3 N ) 3 M ( C O ) 3 ] > Cu(II) has trigonal bipyramidal
–
[M (CO)6] > [M (CO)6] geometry. The orbital that has an
unpaired electron is
(A) d x 2 − y 2
29. The metal ions involved in the nitrogenases (B) d xz
are
(C) d yz
(A) Mg and Mn
(B) Fe and Cu (D) d z 2
(C) Fe and Mo + +
34. The shapes of Br3 and I5 are
(D) Fe and Zn (A) linear and square pyramidal,
respectively.
(B) bent and square planar,
30. The reaction respectively.
165°C
(dppe)Pt(CH3)4 ⎯⎯⎯→ (dppe)Pt(CH3)2 + C2H6 (C) trigonal planar and tetrahedral,
respectively.
is an example of
(D) angular and see saw, respectively.
(A) reductive elimination
(B) insertion 35. Plot of kinetic energy of ejected electrons
as a function of the wavelength of the incident
(C) oxidative coupling
radiation for the photoelectric effect for sodium
(D) oxidative elimination metal gives a straight line with slope and intercept
respectively as
(A) work function of the metal and
31. The pH at which Mg(OH)2 will be Planck’s constant.
–4
precipitated from a 10 M solution of Mg (ClO4)2
–12 (B) Planck’s constant and wrok
is [given, KSp of Mg(OH)2 = 9×10 ] closest to
function of the metal.
(A) 13·5
(C) threshold frequency of the metal
(B) 6·5 and Planck’s constant.
(C) 10·5 (D) inverse of Planck’s constant and
(D) 4·5 work function of the metal.
42. A particular reaction may take place with or 45. Following two figures give the sketches for
without catalyst. In comparison to the uncatalysed changes in two thermodynamic properties for
reaction, for the catalysed reaction at phase transitions at temperature T = Tt :
the same temperature μ (i) V (ii)
(A) the value of equilibrium constant
(Keq) increases
(B) the values of both the forward rate
constant (kf) and the backward rate
Tt T Tt T
constant (k–f) increase but (kf/k–f)
remains unchanged Choose the correct option—
(C) the value of keq decreases (A) Both of (i) and (ii) are for 1st order
(D) the values of both kf and k–f increase, phase transition
and (kf/k–f) changes (B) Both of (i) and (ii) are 2nd order phase
transition
(C) (i) is for 1st order and (ii) is for 2nd
order phase transition
43. A carnot engine operating between (D) (i) is for 2nd order and (ii) is for 1st
two reservoirs at 27°C and 127°C, for order phase transition
every 1000 J of heat absorbed from the
reservoir will produce work to the extent of 46. For the consecutive first order reaction
(A) –500 J k
→ B ⎯⎯→ C , if k' >> k
k′
A ⎯⎯
(B) –1000 J
the concentration of C at any time, t can
(C) –250 J
be written as (‘A 0’ is the initial
(D) –330 J concentration of ‘A’)
–k't
(A) Ao [1–exp ]
–k't
(B) Ao exp
–kt
(C) Ao exp
–kt
(D) Ao [1–exp ]
44. When 50 ml of ethanol is mixed with 50 ml
of water 47. A solution of K3 [Fe(C2 O4)3] in which Fe3+
(A) the entropy of the solution increases is reduced and the oxalate ion is oxidited
but the volume contracts photochemically at 313 nm with a quantum yield of
(B) the entropy of the solution increases 2, the intensity, Io needed to produce
3+
and the volume expands 1·2 × 10–5 mol of Fe over a period of 20 min is
–7 –1
(C) the entropy of the solution decreases (A) 1 × 10 mol s
–8 –1
and the volume contracts (B) 5 × 10 mol s
–5 –1
(D) the entropy of the solution decreases (C) 1 × 10 mol s
–7 –1
but the volume expands (D) 5 × 10 mol s
48. The rate constant for a reaction is found to 51. Characters of one of the irreducible
decrease with increase in temperature. Such a representations (Γi) of Td cubic group is given
reaction below:
(A) is impossible. Td E 8C3 3C2 6S4 6σd
(B) is an elementary reaction. Ti 3 0 –1 1 –1
(C) demonstrates inadequacy of Dimension of the Γi representation is
Arrhenius rate law.
(A) 1
(D) is a multistep reaction. (B) 5
(C) 3
(D) 2
49. Coordinates of a general point (P) of a 52. Character table of C3v point group is given
molecule is [x1, y1, z1]. σ d operation transforms P below, along with characters of Γ reducible
representation:
into P' ( σ d is a dihedral plane of symmetry which
contains Z axis and bisects second and fourth C3v E 2C3 3σv
quadrants). The coordinates of P' is A1 1 1 1 Z
(A) [–x1, –y1, –z1] A2 1 1 –1 Rz
E 2 –1 0 (x, y) (Rx, Ry)
(B) [–y1, –x1, z1]
Γ 7 1 –3
(C) [x1, –z1, y1]
Number of times the A 1 irreducible
(D) [x1, z1, –y1]
representation appears in Γ reducible
representation is
(A) 0
(B) 3
50. C n (Z) σ (xy) = σ (xy) C n (Z) (C) 2
Above equality holds because, (D) 1
54. In a typical Raman spectra of a molecule 57. Consider the following equiliberium for
both stokes and anti-stokes lines are seen generally. water:
(A) Stokes lines appear at lower ZZX H + +OH –
H 2 O YZZ
frequencies with higher intensities –14
compared to anti-stokes lines If ionic product of water is 1·0 × 10 , what
is the value of the equilibrium constant of the
(B) Stokes lines appear at higher
above process?
frequencies with lower intensities –14
compared to anti-stokes lines (A) 1·0 × 10
–16
(C) Anti-stokes lines appear at lower (B) 1·8 × 10
–7
frequencies with lower intensities (C) 1·8 × 10
compared to stokes lines (D) 1·0 × 10
–16
15 13
56. O and N are produced in air
chloroform ([α ]
T
λ )
= +37·5° containing 15g per
when γ-ray from lightening knocks off 100 ml, placed in a polarimeter cell of length 10 cm
(A) a proton from both O and
16 14
N. is:
60. For ideally dilute solution 63. The selection rule for a rotational transition
(A) both the solute and solvent obey in a symmetric top molecule is
Henry’s law (A) Δ J = 0, ± 1, Δ M = ± 1, Δ K = 0
(B) both the solute and solvent obey (B) Δ J = ± 1, Δ M = 0, ± 1, Δ K = 0
Raoult’s law (C) Δ J = 0, ± 1, Δ M = 0, ± 1, Δ K = 1
(C) the solute obeys Raoult’s law and the (D) Δ J = ± 1, Δ M = ± 1, Δ K = 1
solvent obeys Henry’s law
(D) the solute obeys Henry’s law and the
64. The potential difference between
solvent obeys Raoult’s law
two hydrogen electrodes of the
following cell is 0.056V at 25°C. Pt | H 2
+ +
( 1 a t m ) , H (m = 0·01) || H
(m = 0·1) | H2 (1 atm) | pt
The activity coefficient (γ) of 0·01 m HCl
is 0·9. The γ for 0·1m HCl is
61. Variationally optimized ground state wave
(Given, 56/59 = log 8·89)
function and the corresponding energy are such
that (A) 0·8
(B) 1·0
(A) their accuracy is to the same extent
(C) 0·7
(B) the wave function is more accurate (D) 1·1
in comparison to the energy
(C) the energy is more accurate in
65. C2v E C2 σv (xz) σv'(yz)
comparison to the wave function
A1 1 1 1 1 Z
(D) the energy is as accurate as the
other properties A2 1 1 –1 –1 Rz
B1 1 –1 1 –1 x, Ry
B2 1 –1 –1 1 y, Rx
The ground state of NO2 is of A1 Symmetry.
The component of transition dipolemoment integral
will not vanish if following conditions prevail.
62. ICN dissociates at 306 nm with a Identify the WRONG statement:
quantum yield of 0.1. If 1% of the (A) x polarized light causes transition
incident light is absorbed by the gas to B1 state
14
and the number of photons incident is 2 × 10 , the
(B) y polarized light causes transition
number of ICN molecules dissociated will be
to B2 state
10
(A) 2 × 10
(C) z polarized light causes transition
12
(B) 2 × 10 to A1 state
11
(C) 2 × 10 (D) Unpolarized light causes transition
13
(D) 2 × 10 to A2 state
X–13 12
66. The critical micelle concentration (CMC) 68. The major product formed in the following
of a surfactant, cetyltrimethyl ammonium bromide reaction sequence is
(CTAB) in aqueous medium is 0·80
mM at 25°C. What will be the MeO
concentrations of cetyltrimethyl
i) mCPBA, CH2Cl2 , 0°C
ammonium ions (CTA+) and bromide ions in
ii) NaOH
solution if CTAB concentration is increased to iii) H3 O+
1·60 mM at same temperature?
+ –
O
(A) CTA : 1·6 mM; Br : 1·6 mM
+ –
(B) CTA : < 1·6 mM; Br : < 0·8 mM OH
+ –
(C) CTA : > 0·8 mM; Br : > 0·8 mM
+ – OMe
(D) CTA : 0·8 mM; Br : > 0·8 mM (A)
CO2 H
CO2 H
OMe
(B)
OH
MeO
O
(C)
69. The major product of the following reaction 71. The absolute configuration at the two chiral
sequence is centres of (–) Camphor is
H
Me
i) 9-BBN (1 equiv)
ii) H2O2 /NaOH 1
O
H
H
4
Me
(A) (A) 1R, 4R
OH
(B) 1R, 4S
H
H (C) 1S, 4R
(D) 1S, 4S
Me
(B)
H CO2 Me
H Me HO
OH
(D)
(A)
CO2Me
H
H
H
(I) (II) (III) (C)
O O
(A) III > II > I (B) I > III > II
(C) II > III > I (D) II > I > III
(D)
X–15 12
73. The major product formed in the following 76. The major product of the following
reaction is photochemical reaction is
N2H4, O2 O O
Cu(II)
hν
Ph N
Ph
OH
O N
N N
Ph Ph (B)
CO2Et
O N
I II
CO2 Et
(C) Me Me
Ph (D) Me
Me
Me Me
Ph
77. The major product of the following reaction 78. An organic compound with molecular
is formula C9H11NO2 exhibits the following spectral
data:
Cl IR (cm–1): 1708
Bu 3SnH 1
H NMR (CDCl 3 ): δ 7·42 (dt,1H),
N O AlBN, Toluene
reflux 7·35 (dd, 1H), 7·19 (t, 1H), 6·84 (dd, 1H), 4·30
Ph (q, 2H), 3·80 (bs, 2H), 1·41 (t, 3H)
13
C NMR (CDCl3): δ 167, 147, 131, 129,
120, 119, 116, 61, 14
(A) The structure of the compound is
O O
N O
Ph NH2
(A)
(B)
N
O O
Ph
(C) (B)
N O
NH2
Ph
(D) O NH2
O
(C)
Ph
O
O NH2
(D)
O
X–17 12
79. The correct product of the following reaction 81. The major product of the following reaction
is is
SiMe 3
SnCl4 O
MeO
Rh (PPh3)3 Cl
H2, benzene
OMe
(A) (B)
O O
OMe OMe
(A) (B)
(C) (D)
OMe
MeO
OMe
O OH
(C) (D)
i) CH2I2 /Zn
ii) CrO3
iii) Li/NH3
R(+)-Cyclohexenol
O O
CH3
(A) (B)
CH3 H
H
O O
(C) (D) H
H CH3
CH3
82. The outcome (Y) of the followig reaction 83. The major product of the following reaction
sequence is sequence is
CO2Me i) Ni (OTf)
+ Ph 2
NH CO Me ii) hν
2
NHMe Ph
O
2 equiv. BuLi Ph
[X] [Y]
THF/TMEDA (A)
OMe N
Ph
O
CO2Me
CO2Me
(A) O
Ph Ph
MeO (B) CO2 Me
N
Ph
CO2Me
Ph O
Ph
O
MeO2C CO2Me
(B)
(C)
N
Ph
OMe
O
Ph
(C) O
(D)
MeO N
Ph Ph CO2Me
MeO2C
O
MeO
(D) O
Ph Ph
X–19 12
84. The product [Y] of the followig reaction 85. The major product formed in the following
sequence is reaction is
O
hν
O
+
– S DMSO H+
+ Ph2 X Y
25°C
O
(A) (A) H
O
(B) H
(B)
O (C)
(D)
(C)
O
(D) O
86. The correct structure of the product in the 87. The product formed in more than 50% in
following reaction sequence is the following reaction is
CO2Me
Ph CO2H
i. Zn LiAlH4
Br ii. PhCHO
Ph
O OH
(A) Ph
(A)
Ph
Ph
O
Ph OH
(B) O
(B)
Ph
Ph
O Ph
(C)
O Ph
(C)
Ph
Ph
O (D)
Ph
O
(D)
Ph
X–21 12
88. The reaction of ‘X’ with diazomethane 89. The relative rates of acetolysis of the
produces the major product: following norbornane derivatives are
HO OH H OTs H OTs TsO H
HO O
O
I II III
[X]
HO
(A) III < II < I
HO OMe (B) II < I < III
(C) III < I < II
(A) HO O (D) I < III < II
O
HO
HO OH
(B) HO O
O
MeO
MeO OMe
(C) HO O
O
HO
MeO OH
HO O
O
(D)
HO
90. The major product formed in the following 91. The correct order of reactivity of the
reaction is substrates in the following reaction is
CN
Me Me O
Cl Me
O
Me
OMe
OH
AgBF 4 O
HCl
O
CN
R R
(A) I : R=H
II : R = OMe
III : R = NO2
CN
O
(C)
O
CN
(D)
X–23 12
92. The major product in the following reaction 93. The symmetry point group of the following
is molecule is
Co 2(CO)8
Δ
(A) O
(C) O
(A)
O
H
R
CH2CHO
Me
Me
(D) O
(B)
O
R
H
Me
CH2CHO
(C)
O
H
CH2CHO
Me
(D)
O
H
95. The following molecule is chiral due to the 97. The requisite condition to accomplish the
presence of (CH2)8 following transformation is
CH2 CH2
Cl
Me O
Me
H H
(A)
(A) O
Me H
Me O
Me
H H
O
(B)
(B)
Me H
Me O
Me
H
(C)
(C)
Me
O
Me O
Me
H H
(D)
O
(D)
Me H
X–25 12
99. The major product formed in the following 100. In the following reaction, the scrambling of
epoxidation reaction is deuterium occurs due to
H
D D
D 230°C
D
OH D D
H
OH
(C) both [1, 3]- and [1, 5] – Sigmatropic
shift
(D) [1, 7] – Sigmatropic shift
CO2Me
(A)
OH
CO2Me
(B)
OH
CO2Me
(C)
O
OH
CO2Me
(D)
O