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GATE Chemistry 2025

  • Paper code: CY
  • Language: English
  • 46 pages
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General Aptitude
Q.1 – Q.5 Carry ONE mark Each

 Q.1        Courage : Bravery :: Yearning : __________

            Select the most appropriate option to complete the analogy.


 (A)        Longing


 (B)        Yelling


 (C)        Yawning


 (D)        Glaring




 Q.2        We __________ tennis in the lawn when it suddenly started to rain.

            Select the most appropriate option to complete the above sentence.


 (A)        have been playing


 (B)        had been playing


 (C)        would have been playing


 (D)        could be playing




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 Q.3 A 4 × 4 digital image has pixel intensities (U) as shown in the figure. The number of
     pixels with U ≤ 4 is:




 (A) 3


 (B)    8


 (C)    11


 (D) 9




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 Q.4        In the given figure, the numbers associated with the rectangle, triangle, and ellipse
            are 1, 2, and 3, respectively. Which one among the given options is the most
            appropriate combination of P, Q, and R ?




                                                                2

                                                            R




                                         4
                                                                    Q
                             1                     P



                                                            3




 (A)        P = 6; Q = 5; R = 3


 (B)        P = 5; Q = 6; R = 3


 (C)        P = 3; Q = 6; R = 6


 (D)        P = 5; Q = 3; R = 6




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 Q.5        A rectangle has a length L and a width W, where L > W. If the width, W, is increased
            by 10%, which one of the following statements is correct for all values of L and W?


 (A)        Perimeter increases by 10%.


 (B)        Length of the diagonals increases by 10%.


 (C)        Area increases by 10%.


 (D)        The rectangle becomes a square.




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Q.6 – Q.10 Carry TWO marks Each

 Q.6        Column-I has statements made by Shanthala; and, Column-II has responses given
            by Kanishk.


                               Column-I                                   Column-II


             P.    This house is in a mess.                  1. Alright, I won’t bring it up during
                                                                our conversations.


             Q. I am not happy with the marks 2. Well, you can easily look it up.
                given to me.


             R. Politics is a subject I avoid talking 3. No problem, let me clear it up for
                about.                                   you.


             S.    I don’t know what this word 4. Don’t worry, I will take it up with
                   means.                         your teacher.


            Identify the option that has the correct match between Column-I and Column-II.


 (A)        P – 2; Q – 3; R – 1; S – 4


 (B)        P – 3; Q – 4; R – 1; S – 2


 (C)        P – 4; Q – 1; R – 2; S – 3


 (D)        P – 1; Q – 2; R – 4; S – 3




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 Q.7        Weight of a person can be expressed as a function of their age. The function usually
            varies from person to person. Suppose this function is identical for two brothers,
            and it monotonically increases till the age of 50 years and then it monotonically
            decreases. Let a1 and a2 (in years) denote the ages of the brothers and a1 < a2 .

            Which one of the following statements is correct about their age on the day when
            they attain the same weight?


 (A)        a1 < a2 < 50


 (B)        a1 < 50 < a2


 (C)        50 < a1 < a2


 (D)        Either a1 = 50 or a2 = 50




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 Q.8        A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r
            cm as shown in the figure. The side of the dodecagon is d cm. All the triangles
            (numbered 1 to 12) in the figure are used to form squares of side r cm and each
            numbered triangle is used only once to form a square.

            The number of squares that can be formed and the number of triangles required to
            form each square, respectively, are:

            Note: The figure shown is representative.




 (A)        3; 4


 (B)        4; 3


 (C)        3; 3


 (D)        3; 2




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 Q.9                                                                                2
                                               x2                  x              2x
            If a real variable x satisfies 3         = 27 × 9 , then the value of x 2 is:
                                                                                 (2 )


 (A)        2−1


 (B)        20


 (C)        23


 (D)        215




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 Q.10       The number of patients per shift (X) consulting Dr. Gita in her past 100 shifts is
            shown in the figure. If the amount she earns is ₹ 1000(X − 0.2), what is the average
            amount (in ₹) she has earned per shift in the past 100 shifts?

            Note: The figure shown is representative.


                                 50
                                                 40
                                 40
              Number of shifts




                                                                 30
                                 30
                                      20
                                 20
                                                                              10
                                 10

                                  0
                                      5         6                7            8
                                           Number of patients per shift (X)



 (A)        6,100


 (B)        6,300


 (C)        6,000


 (D)        6,500




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Q.11 – Q.35 Carry ONE mark Each

 Q.11       The phosphazene compound that acts as a superbase is


 (A)




 (B)




 (C)




 (D)




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 Q.12       The reaction for the synthesis of Me2SiCl2 through Rochow-Müller process is


 (A)


 (B)


 (C)


 (D)




 Q.13       Upon cooling from room temperature, the magnetic susceptibility of MnO slowly
            increases until 118 K, and then it decreases. This phenomenon is known as


 (A)        ferromagnetism


 (B)        paramagnetism


 (C)        antiferromagnetism


 (D)        ferrimagnetism




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 Q.14       An aqueous solution of Co(ClO4)26H2O is light pink in colour. Addition of conc.
            HCl results in an intense blue coloured solution due to the formation of a new
            species. The new species among the following is




            [Given: Atomic number of Co = 27]


 (A)        I


 (B)        II


 (C)        III


 (D)        IV




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 Q.15       For an unambiguous single step synthesis of the following target molecule (TM),
            the best bond disconnection in its retrosynthetic analysis is




                                    (TM)




 (A)




 (B)




 (C)




 (D)




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 Q.16       In the 1H-NMR spectrum of the following molecule, the signal of proton Ha
            appears as




 (A)        singlet


 (B)        triplet


 (C)        quintet


 (D)        quartet




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 Q.17       A disaccharide X does NOT show mutarotation in aqueous solution. Acidic
            hydrolysis of X affords two different monosaccharides. The disaccharide X is


 (A)




 (B)




 (C)




 (D)




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 Q.18       The symmetry element that does NOT belong to C4v point group is


 (A)        C4


 (B)        C2


 (C)        i


 (D)        σv




 Q.19       Rigid rotor wavefunctions are given by Yl,m (θ, φ). The wavefunctions Y1,0 (θ, φ)
            and Y2,0 (θ, φ) are given below

                                    3                                         5
            Y1,0 (θ, φ) = √              cos θ             Y2,0 (θ, φ) = √         (3 cos 2 θ − 1)
                                    4π                                       16π

            For a non-polar diatomic molecule, the value of transition dipole moment integral
            for transition between Y1,0 (θ, φ) and Y2,0 (θ, φ) is equal to


 (A)        1⁄√2π


 (B)        0


 (C)        2


 (D)        1⁄√4π




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 Q.20       The translational, vibrational, and rotational molecular partition functions for a
            system containing ideal diatomic gas molecules in the canonical ensemble (N, V,
            T) are written as, qtrans , qvib , and qrot , respectively. The option that correctly
            defines their thermodynamic variable(s) dependency is


 (A)        qtrans (T, V), qvib (T, V), qrot (T, V)


 (B)        qtrans (T, V), qvib (T), qrot (T)


 (C)        qtrans (T), qvib (T, V), qrot (T)


 (D)        qtrans (T, V), qvib (T), qrot (T, V)




 Q.21       The Vaska’s complex trans-IrCl(CO)(PPh3)2 shows a band at 1967 cm-1 for the
            νCO stretching vibration in its infrared spectrum. The complex(es) that will show
            an increase in the νCO stretching vibration from 1967 cm-1 is/are


 (A)




 (B)




 (C)




 (D)




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 Q.22       Under the conditions mentioned for each reaction, the reaction(s) that would give
            borazine (B3N3H6) as the major product is/are


 (A)


 (B)


 (C)



 (D)




 Q.23       The essential symmetry(ies) for a monoclinic crystal system is/are the presence of


 (A)        one C3 axis


 (B)        one C2 axis


 (C)        one C4 axis


 (D)        one C6 axis




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 Q.24       Compound(s) that show(s) an intense peak at m/z 120 in the EI mass spectrum
            is/are




 (A)




 (B)




 (C)




 (D)




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 Q.25       The correct option(s) of reagents and reaction sequences suitable for carrying out
            the following transformation is/are




 (A)        (i) NBS, (PhCOO)2; (ii) aq. NaOH; (iii) active MnO2; (iv) Li/liq.NH3, t-BuOH


 (B)        (i) m-CPBA; (ii) BF3.Et2O


 (C)        (i) SeO2; (ii) Dess-Martin periodinane; (iii) K[BH(s-Bu)3] (K-selectride)


 (D)        (i) dil. KMnO4; (ii) NaIO4




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 Q.26       Among the given options, the possible product(s) that can be obtained from the
            following reaction is/are




 (A)




 (B)




 (C)




 (D)




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 Q.27       Choose the correct option(s) with regard to mechanism of the following
            transformation.




 (A)        It proceeds through divinyl cyclopropane rearrangement


 (B)        It involves a diradical intermediate


 (C)        It proceeds through di--methane rearrangement


 (D)        It proceeds through [2+2+2] cycloaddition reaction




 Q.28       Consider two non-interacting particles confined to a one-dimensional box with
            infinite potential barriers. Their wavefunctions are ψ1 and ψ2 and energies are E1
            and E2 , respectively. The INCORRECT statement(s) about this system is/are




 (A)        The total energy is E1 + E2


 (B)        The total wavefunction is ψ1 + ψ2


 (C)        The total energy is E1 E2


 (D)        The total wavefunction is ψ1 ψ2




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 Q.29       The thermodynamic criterion/criteria for a spontaneous process is/are


 (A)        ΔU > 0 at constant S and V


 (B)        ΔS > 0 at constant U and V


 (C)        Δ(H − TS) > 0 at constant T and P


 (D)        Δ(U − TS) < 0 at constant T and V




 Q.30       Xe and F2 in 1:1 molar ratio when mixed in a closed flask and kept in the sunlight
            for a day, gave white crystals of a compound Q. Two equivalents of Q on reaction
            with one equivalent of AsF5 gave an ionic compound X+Y‒ with the cation having
            two Xe atoms. The total number of lone pairs present on the cation X+ is ______
            (in integer).




 Q.31       The total number of hyperfine lines expected in the EPR spectrum of •CH2OH
            (radical) is ____ (in integer).

            [Note: Consider all hydrogen atoms for calculation]




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 Q.32       Partial hydrolysis of a pentapeptide yields all possible tripeptides and dipeptides.
            The dipeptides that are obtained upon hydrolysis are given below.

                               Val-Ala, Gln-His, Phe-Val and Ala-Gln

            The total number of tripeptides obtained that contain ‘Ala’ as one of the amino acids
            is____ (in integer).




 Q.33       The specific rotation of enantiomerically pure (S)-2-butanol is +14. The specific
            rotation of enantiomeric mixture of 2-butanol obtained from an asymmetric
            reduction of 2-butanone is found to be +7. The percentage of (R)-2-butanol present
            in the reaction mixture is _____ (in integer).




 Q.34       The ratio of the fundamental vibrational frequencies (υ13C 16O ⁄υ12C 16O ) of two
            diatomic molecules 13C16O and 12C16O, considering their force constants to be the
            same, is_______ (rounded off to two decimal places).




 Q.35       The expressions for the vapour pressure of solid (p1) and vapour pressure of liquid
            (p2 ) phases of a pure substance, respectively, are

                           2000                                 4000
            ln p1 = −               +5   and        ln p2 = −          + 10
                             T                                   T

            The triple point temperature of this substance is ____ K (in integer).




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Q.36 – Q.65 Carry TWO marks Each

 Q.36       The reaction that proceeds through an oxidative addition followed by a reductive
            elimination is

            [Given: Atomic numbers Ni = 28, Ta = 73, Zr = 40, Pt = 78]


 (A)




 (B)




 (C)




 (D)




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 Q.37       The homogeneous catalyst whose metal ion does NOT undergo either oxidation or
            reduction in any of the steps during the hydrogenation of terminal olefins is


 (A)        RhCl(PPh3)3


 (B)        HRuCl(PPh3)3


 (C)        [Ir(COD)(PCy3)(Py)]+ PF6− (COD = cyclooctadiene)


 (D)        [Rh(COD)(PPh3)2]+ PF6−    (COD = cyclooctadiene)




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 Q.38       The given zirconocene compound, (5-Cp)2ZrEt2, when heated in the presence of
            an equimolar amount of PMe3 results in the formation of a compound X which
            obeys the 18 electron rule. The reaction also resulted in the release of a saturated
            hydrocarbon.




            [Given: Atomic number of Zr = 40]

            The structure of compound X is


 (A)




 (B)




 (C)




 (D)




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 Q.39       The 1H NMR spectrum of the given iridium complex at room temperature gave a
            single signal at 2.6 ppm, and its 31P NMR spectrum gave a single signal at
            23.0 ppm. When the spectra were recorded at lower temperatures, both these signals
            split into a complex pattern. The intra-molecular dynamic processes shown by this
            molecule are




 (A)        Berry pseudo-rotation and rotation of the ethylene units along the C=C axis


 (B)        Berry pseudo-rotation and propeller type rotation of the ethylene units along the
            Ir-alkene axis


 (C)        Ray-Dutt twist and rotation of the ethylene units along the C=C axis


 (D)        Ray-Dutt twist and propeller type rotation of the ethylene units along the
            Ir-alkene axis




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 Q.40       The effective magnetic moment, eff value for [Cr(H2O)6]3+ taking into account for
            spin-orbit coupling is closest to

            [Given: Atomic number of Cr = 24, spin-orbit coupling constant  = 92 cm‒1, and
            o = 17400 cm‒1]


 (A)        3.79 B


 (B)        3.87 B


 (C)        4.05 B


 (D)        3.60 B




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 Q.41       The major products X and Y formed in the following reaction sequences are




 (A)




 (B)




 (C)




 (D)




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 Q.42       Compound K displayed a strong band at 1680 cm-1 in its IR spectrum. Its
            1
              H-NMR spectral data are as follows:  (ppm) 7.30 (d, J = 7.2 Hz, 2H),
            6.8 (d, J = 7.2 Hz, 2H), 3.8 (septet, J = 7.0 Hz, 1H), 2.2 (s, 3H),
            1.9 (d, J = 7.0 Hz, 6H). The correct structure of compound K is


 (A)




 (B)




 (C)




 (D)




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 Q.43       The major product formed in the following reaction sequences is




 (A)




 (B)




 (C)




 (D)




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 Q.44       In the following asymmetric transformation, the key aldol reaction involves the
            attack of




 (A)        Si face of enolate on to the Re face of aldehyde


 (B)        Si face of enolate on to the Si face of aldehyde


 (C)        Re face of enolate on to the Re face of aldehyde


 (D)        Re face of enolate on to the Si face of aldehyde




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 Q.45       The correct option with regard to the following statements is

                (a) Time-independent Schrödinger equation can be exactly solved for Be2+.

                (b) For a particle confined in a one-dimensional box of length l with infinite
                                                                            3 1/2
                     potential barriers, the trial variation function φ = [( 3 )     x] is not an
                                                                            l
                     acceptable trial wavefunction for 0 ≤ x ≤ l.

                (c) Wavefunctions for system of Fermions must be anti-symmetric with respect
                    to exchange of any two Fermions in the system.

                (d) Born-Oppenheimer approximation can be used to separate the vibrational
                    and rotational motion of a molecule.


 (A)        (a) True (b) False (c) False (d) True


 (B)        (a) True (b) True (c) False (d) False


 (C)        (a) False (b) True (c) True (d) False


 (D)        (a) False (b) True (c) True (d) True




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 Q.46       The phase diagram of a single component system is given below.




            The option with the correct number of degrees of freedom corresponding to the
            labelled points i, j, and k, respectively, is




 (A)        0, 1, 2


 (B)        3, 2, 1


 (C)        2, 0, 1


 (D)        0, 2, 1




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 Q.47       An approximate partition function Q(N, V, T) of a gas is given below.


                                                 1 2πmkB T 3N/2
                                    Q(N, V, T) =    (     )     (V − Nb)N
                                                 N!   ℎ2
            The equation of state(s) for this gas is/are

            [Note: b is a parameter independent of volume.]




 (A)        P(V − Nb) = NkB T


 (B)        PV (N−b) = kB T


 (C)        PV = NkB T


 (D)        P(V − Nb) = NkB




 Q.48       The compound(s) having structure similar to that of B2H6 is/are


 (A)        I2Cl6


 (B)        Si2Cl6


 (C)        Al2Cl6


 (D)        Cl2O6




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 Q.49       The UV-visible spectrum of [Ni(en)3]2+ (en = ethylenediamine) shows absorbance
            maxima at 11200 cm‒1, 18350 cm‒1, and 29000 cm‒1.

                              Absorbance maximum               Electronic transition

                                    (a) 11200 cm‒1             (i)     3
                                                                           A2g → 3T1g (F)

                                    (b) 18350 cm‒1             (ii)    3
                                                                           A2g → 3T2g

                                    (c) 29000 cm‒1             (iii)   3
                                                                           A2g → 3T1g (P)


            [Given: Atomic number of Ni = 28]

            The correct match(es) between absorbance maximum and electronic transition
            is/are


 (A)        (a) → (ii)


 (B)        (b) → (i)


 (C)        (a) → (iii)


 (D)        (c) → (iii)




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 Q.50       Cytochrome P450 (CYP) enzymes catalyze stereoselective C‒H hydroxylation of
            hydrocarbons in the presence of O2. The correct statement(s) about the structure
            and activity of CYP is/are


 (A)        A thiolate group is coordinated to the Fe center at one of the axial positions
            around Fe.


 (B)        While one of the oxygen atoms of O2 is inserted into a C‒H bond of a
            hydrocarbon, the other oxygen atom gets reduced to water.


 (C)        An imidazole group is coordinated to the Fe center at one of the axial positions
            around Fe.


 (D)        An iron-oxo species acts as a key oxidant in the catalytic cycle of CYP.




 Q.51       The complex(es) having metal-metal bond order 3.5 is/are

             [Given: The atomic numbers of Mo, Cr, Mn, and Re are 42, 24, 25, and 75,
            respectively.]


 (A)        [Mo2(-SO4)4(H2O)2]3‒


 (B)        [Mn2(CO)10]


 (C)        [Cr2(-O2CCH3)4]


 (D)        [Mo2(-HPO4)4(H2O)2]2‒




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 Q.52       Consider the following two reactions and their corresponding Hammett plots




            Choose the option(s) that correctly match(es) the points on the graph given in
            Column-I with substituents X given in Column-II in accordance with their
            substituents constant 

               Column-I (points on the graph)              Column-II (substituent X)
                             p                                      NH2
                             q                                      NO2
                             r                                      OMe
                             s                                        Cl
                             t                                       Me
                             u                                       CN


 (A)        s → σ(X = Cl) ; t → σ(X = OMe) ; u → σ(X = NH2) ; r → σ(X = NO2)

 (B)        s → σ(X = Me) ; u → σ(X = NH2 ) ; t → σ(X = OMe) ; r → σ(X = Br)

 (C)        p → σ(X = Me) ; q → σ(X = CN) ; r → σ(X = NO2) ; t → σ(X = OMe)

 (D)        p → σ(X = Cl) ; q → σ(X = NO2) ; r → σ(X = CN) ; t → σ(X = Me)


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 Q.53       The correct option(s) of reagents and reaction sequences suitable for carrying out
            the following transformation is/are




 (A)


 (B)




 (C)




 (D)




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 Q.54       The process(es) and/or intermediate(s) through which the following
            transformation proceeds is/are




 (A)        1,2-methide shift


 (B)        1,3-methide shift


 (C)        non-classical carbocation


 (D)        tertiary carbocation




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 Q.55       For the following reaction, the possible product(s) is/are




 (A)




 (B)




 (C)




 (D)




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 Q.56       Wavefunctions and energies for a particle confined in a cubic box are ψnx ,ny ,nz
            and Enx ,ny ,nz , respectively. The functions φ1 , φ2 , φ3 , and φ4 are written as linear
            combinations of ψnx ,ny ,nz . Among these functions, the eigenfunction(s) of the
            Hamiltonian operator for this particle is/are


                                                 1               1
                                          φ1 =        ψ1,4,1 −        ψ2,2,3
                                                 √2              √2
                                                 1               1
                                          φ2 =        ψ1,5,1 +        ψ3,3,3
                                                 √2              √2
                                                 1               1
                                          φ3 =        ψ1,3,8 +        ψ3,8,1
                                                 √2              √2

                                               1         √3
                                           φ4 = ψ3,3,1 +    ψ
                                               2          2 2,4,1



 (A)        φ2


 (B)        φ4


 (C)        φ3


 (D)        φ1




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 Q.57       If a particle’s state function is an eigenfunction of the operator L̂2 with eigenvalue
            30ħ2 , then the possible eigenvalue(s) of the operator L̂2z for the same state function
            is/are


 (A)        10ħ2


 (B)        16ħ2


 (C)        25ħ2


 (D)        0




 Q.58       An archaeological specimen containing 14C gives 45 counts per gram of carbon in
            5 minutes. A specimen of freshly cut wood gives 20 counts per gram of carbon per
            minute. The counter used recorded a background count of 5 counts per minute in
            the absence of any 14C containing sample. The age of the specimen is_____ years
            (in integer).

            [Note: t1/2 of 14C = 5730 years]




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 Q.59       In the following reaction, 13.4 grams of aldehyde P gave a diastereomeric mixture
            of alcohols Q and R in a ratio of 2:1. If the yield of the reaction is 80%, then the
            amount of Q (in grams) obtained is_____ (in integer).




 Q.60       The kinetic energies of an electron (e) and a proton (p) are E and 3E,
            respectively. Given that mass of a proton is 1836 times that of an electron, the
            ratio of their de Broglie wavelengths (λe ⁄λp ) is_____ (rounded off to two decimal
            places).




 Q.61       If a molecule emitting a radiation of frequency 3.100 × 109 Hz approaches an
            observer with a relative speed of 5.000 × 106 m s-1, then the observer detects a
            frequency of ____ × 109 Hz. (rounded off to three decimal places)

            [Given: Speed of light c = 3.000 × 108 m s-1]




 Q.62       The mean energy of a molecule having two available energy states at ε = 0 J and
            ε = 4.14 × 10‒21 J at 300 K is _____× 10‒21 J (rounded off to two decimal places).

            [Given: Boltzmann constant (kB ) = 1.38 × 10-23 J K-1]




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 Q.63       For the cell reaction,

            Hg2Cl2 (s) + H2 (1 atm) → 2Hg (l) + 2H+ (a = 1) + 2Cl‒ (a = 1)
                                                                   ∂ℰ 0
            The standard cell potential is ℰ 0 = 0.2676 V, and ( ∂T ) = ‒3.19 × 10‒4 V K‒1.
                                                                          P
            The standard enthalpy change of the reaction (∆r H 0 ) at 298 K is ‒x kJ mol‒1.
            The value of x is _____ (rounded off to two decimal places).

            [Given: Faraday constant F = 96500 C mol‒1]




 Q.64       Consider a Carnot engine with a hot source kept at 500 K. From the hot source,
            100 J of energy (heat) is withdrawn at 500 K. The cold sink is kept at 300 K. The
            efficiency of the Carnot engine is _____ (rounded off to one decimal place).




 Q.65       The Lineweaver-Burk plot for an enzyme obeying the Michaelis-Menten
            mechanism is given below.




            The slope of the line is 0.36 × 10-2 s, and the y-intercept is 1.20 mol‒1 L s. The
            value of the Michaelis constant (KM) is____× 10-3 mol L‒1 (in integer).

            [Note: v is the initial rate, and [S]0 is the substrate concentration]




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Source: GATE. Question paper published by GATE.