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MHT-CET 2024 (12 May Shift 1), Paper II, Physics & Chemistry question paper

100 questions · 100 marks · 90 minutes · +1 per correct answer, no negative marking

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Physics

50 questions

  1. 1
    A uniform string is vibrating with a fundamental frequency nn. If radius and length of string both are doubled keeping tension constant then the new frequency of vibration is

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  2. 2
    Let γ1\gamma_{1} be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and γ2\gamma_{2} be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio γ2γ1\frac{\gamma_{2}}{\gamma_{1}} is

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  3. 3
    A railway track is banked for a speed vv by elevating outer rail by a height hh above the inner rail. The distance between two rails is dd then the radius of curvature of track is (g=g = gravitational acceleration)

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  4. 4
    In the given capacitive network the resultant capacitance between point AA and BB is

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  5. 5
    In Young's double slit experiment the intensities at two points, for the path difference λ4\frac{\lambda}{4} and λ3\frac{\lambda}{3} (λ=\lambda = wavelength of light used) are I1I_{1} and I2I_{2} respectively. If I0I_{0} denotes the intensity produced by each one of the individual slits then I1+I2I0\frac{I_{1}+I_{2}}{I_{0}} is equal to (cos⁡60∘=0.5,cos⁡45∘=12)(\cos 60^{\circ}=0.5,\cos 45^{\circ}=\frac{1}{\sqrt{2}})

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  6. 6
    A simple pendulum performs simple harmonic motion about x=0x=0 with an amplitude aa and time period TT. The speed of the pendulum at x=a2x=\frac{a}{2} is

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  7. 7
    The molar specific heat of an ideal gas at constant pressure and constant volume is CpC_{p} and CvC_{v} respectively. If RR is universal gas constant γ=CpCv\gamma=\frac{C_{p}}{C_{v}} then Cv=C_{v}=

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  8. 8
    Resistance of a potentiometer wire is 2 Ω/m2\,\Omega/\text{m}. A cell of e.m.f. 1.5 V balances at 300 cm. The current through the wire is

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  9. 9
    A, B and C are three parallel conductors of equal lengths and carry currents II, II and 2I2I respectively as shown in figure. Distance ABAB and BCBC is same as dd. If F1F_{1} is the force exerted by B on A and F2F_{2} is the force exerted by C on A, then

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  10. 10
    Two electric dipoles of moment PP and 27P27P are placed on a line with their centres 24 cm apart. Their dipole moments are in opposite direction. At which point the electric field will be zero between the dipoles from the centre of dipole of moment PP?

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  11. 11
    Converging or diverging ability of a lens or mirror is called

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  12. 12
    The following logic gate combination is equivalent to

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  13. 13
    Radiations of two photons having energies twice and five times the work function of metal are incident successively on metal surface. The ratio of the maximum velocity of photo electrons emitted in the two cases will be

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  14. 14
    Time period of simple pendulum on earth's surface is TT. Its time period becomes xTxT when taken to a height RR (equal to earth's radius) above the earth's surface. Then the value of xx will be

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  15. 15
    Consider a soap film on a rectangular frame of wire of area 3×3 cm23\times3\,\text{cm}^{2}. If the area of the soap film is increased to 5×5 cm25\times5\,\text{cm}^{2}, the work done in the process will be (surface tension of soap solution is 2.5×10−2 N/m2.5\times10^{-2}\,\text{N/m})

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  16. 16
    In Lyman series, series limit of wavelength is λ1\lambda_{1}. The wavelength of first line of Lyman series is λ2\lambda_{2} and in Balmer series, the series limit of wavelength is λ3\lambda_{3}. Then the relation between λ1\lambda_{1}, λ2\lambda_{2} and λ3\lambda_{3} is

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  17. 17
    The magnetic moment of a current II carrying circular coil of radius rr and number of turns nn depends on

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  18. 18
    A spherical drop of liquid splits into 1000 identical spherical drops. If E1E_{1} is the surface energy of the original drop and E2E_{2} is the total surface energy of the resulting drops, then E1E2=x10\frac{E_{1}}{E_{2}}=\frac{x}{10}. Then value of xx is

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  19. 19
    The displacement of two sinusoidal waves is given by the equation y1=8sin⁡(20x−30t)y_{1}=8\sin(20x-30t), y2=8sin⁡(25x−40t)y_{2}=8\sin(25x-40t). Then the phase difference between the waves after time t=2 st=2\,\text{s} and distance x=5 cmx=5\,\text{cm} will be

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  20. 20
    I1I_{1} is the moment of inertia of a circular disc about an axis passing through its centre and perpendicular to the plane of disc. I2I_{2} is its moment of inertia about an axis AB perpendicular to plane and parallel to axis CM at a distance 2R3\frac{2R}{3} from centre. The ratio of I1I_{1} and I2I_{2} is x9\frac{x}{9}. The value of xx is (R=R = radius of the disc)

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  21. 21
    The equivalent capacity between terminal AA and BB is

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  22. 22
    Two similar coils each of radius RR are lying concentrically with their planes at right angles to each other. The current flowing in them are II and 2I2I. The resultant magnetic field of induction at the centre will be (μ0=\mu_{0}= Permeability of vacuum)

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  23. 23
    The logic gate combination circuit shown in the figure performs the logic function of

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  24. 24
    Two sounding sources send waves at certain temperature in air of wavelength 50 cm and 50.5 cm respectively. The frequency of sources differ by 6 Hz. The velocity of sound in air at same temperature is

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  25. 25
    In the given circuit, r.m.s. value of current through the resistor RR is

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  26. 26
    A particle of mass mm moving eastward with a speed vv collides with another particle of same mass moving northward with same speed vv. The two particles coalesce after collision. The new particle of mass 2m2m will move in north east direction with a speed (in m/s)

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  27. 27
    The height at which the weight of the body becomes 19\frac{1}{9}th its weight on the surface of earth is (R=R = radius of earth)

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  28. 28
    A single turn current loop in the shape of a right angle triangle with sides 5 cm, 12 cm, 13 cm is carrying a current of 2 A. The loop is in a uniform magnetic field of magnitude 0.75 T whose direction is parallel to the current in the 13 cm side of the loop. The magnitude of the magnetic force on the 5 cm side will be x130\frac{x}{130} N. The value of x is

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  29. 29
    41 tuning forks are arranged in increasing order of frequency such that each fork gives 5 beats/second with next tuning fork. If frequency of last tuning fork is double that of frequency of first fork. Then frequency of first and last fork is

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  30. 30
    In two separate setups for Biprism experiment using same wavelength, fringes of equal width are obtained. If ratio of slit separation is 2:3 then the ratio of the distance between the slit and screen in the two setups is

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  31. 31
    A composite slab consists of two materials having coefficient of thermal conductivity KK and 2K2K, thickness xx and 4x4x respectively. The temperature of the two outer surfaces of a composite slab are T2T_{2} and T1T_{1} and T2>T1T_{2}>T_{1}. The rate of heat transfer through the slab in a steady state is A(T2−T1)Kx⋅f\frac{A(T_{2}-T_{1})K}{x}\cdot f where ff is equal to

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  32. 32
    A black sphere has radius RR whose rate of radiation is EE at temperature TT. If radius is made R/3R/3 and temperature 3T3T, the rate of radiation will be

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  33. 33
    The potential on the plates of capacitor are +20 V and −20 V. The charge on the plate is 40 μC40\,\mu\text{C}. The capacitance of the capacitor is

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  34. 34
    A thin uniform circular disc of mass MM and radius RR is rotating with angular velocity ω\omega in a horizontal plane about an axis passing through its centre and perpendicular to its plane. Another disc of same radius but of mass M2\frac{M}{2} is placed gently on the first disc co-axially. The new angular velocity will be

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  35. 35
    A gas at normal temperature is suddenly compressed to one-fourth of its original volume. If CpCv=γ=1.5\frac{C_{p}}{C_{v}}=\gamma=1.5, then the increase in its temperature is

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  36. 36
    When light of wavelength λ\lambda is incident on a photosensitive surface the stopping potential is VV. When light of wavelength 3λ3\lambda is incident on same surface the stopping potential is V6\frac{V}{6}. Then the threshold wavelength for the surface is

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  37. 37
    One of the necessary conditions for total internal reflection to take place is (i=i= angle of incidence, ic=i_{c}= critical angle)

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  38. 38
    In the given circuit, if dIdt=−1 A/s\frac{dI}{dt}=-1\,\text{A/s} then the value of VA−VBV_{A}-V_{B} at this instance will be

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  39. 39
    An inductor of 0.5 mH, a capacitor of 20 μ20\,\muF and a resistance of 20 Ω20\,\Omega are connected in series with a 220 V a.c. source. If the current is in phase with the e.m.f., the maximum current in the circuit is x\sqrt{x} A. The value of xx is

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  40. 40
    The wavelength of radiation emitted is λ0\lambda_{0} when an electron jumps from the second excited state to the first excited state of hydrogen atom. If the electron jumps from the third excited state to the second orbit of the hydrogen atom, the wavelength of the radiation emitted will be 20xλ0\frac{20}{x}\lambda_{0}. The value of xx is

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  41. 41
    Two particles having mass MM and mm are moving in a circular path with radius RR and rr respectively. The time period for both the particles is same. The ratio of angular velocity of the first particle to the second particle will be

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  42. 42
    The excess pressure inside a first spherical drop of water is three times that of second spherical drop of water. Then the ratio of mass of first spherical drop to that of second spherical drop is

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  43. 43
    When forward bias is applied to a p-n junction, then what happens to the potential barrier VBV_{B} and the width (XX) of the depletion region?

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  44. 44
    Two inductors of 60 mH each are joined in parallel. The current passing through this combination is 2.2 A. The energy stored in this combination of inductors in joule is

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  45. 45
    A beam of light is incident on a glass plate at an angle of 60∘60^{\circ}. The reflected ray is polarized. If angle of incidence is 45∘45^{\circ} then angle of refraction is

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  46. 46
    Consider a light planet revolving around a massive star in a circular orbit of radius rr with time period TT. If the gravitational force of attraction between the planet and the star is proportional to r−7/2r^{-7/2} then T2T^{2} is proportional to

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  47. 47
    A potentiometer wire has length of 5 m and resistance of 16 Ω16\,\Omega. The driving cell has an e.m.f. of 5 V and an internal resistance of 4 Ω4\,\Omega. When the two cells of e.m.f.s 1.3 V and 1.1 V are connected so as to assist each other and then oppose each other, the balancing lengths are respectively

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  48. 48
    Four massless springs whose force constants are 2K,2K,K2K, 2K, K and 2K2K respectively are attached to a mass MM kept on a frictionless plane as shown in figure. If mass MM is displaced in horizontal direction the frequency of oscillating system is

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  49. 49
    About black body radiation, which of the following is the wrong statement?

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  50. 50
    Two coils have a mutual inductance of 0.004 H. The current changes in the first coil according to equation I=I0sin⁡ωtI=I_{0}\sin\omega t, where I0=10 AI_{0}=10\,\text{A} and ω=50π rad s−1\omega=50\pi\,\text{rad\,s}^{-1}. The maximum value of e.m.f. in the second coil in volt is

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Chemistry

50 questions

  1. 51
    Find [OH−][\text{OH}^{-}] if a monoacidic base is 3% ionised in its 0.04 M solution.

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  2. 52
    Calculate ΔG∘\Delta G^{\circ} for the reaction Mg(s)+Sn(aq)2+→Mg(aq)2++Sn(s)\text{Mg}_{(s)}+\text{Sn}^{2+}_{(aq)}\rightarrow\text{Mg}^{2+}_{(aq)}+\text{Sn}_{(s)} if Ecell0E^{0}_{\text{cell}} is 2.23 V

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  3. 53
    If lattice enthalpy and hydration enthalpy of KCl are 699 kJ mol−1699\,\text{kJ mol}^{-1} and −681.8 kJ mol−1-681.8\,\text{kJ mol}^{-1} respectively. What is the enthalpy of solution of KCl?

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  4. 54
    Which of the following compounds does NOT undergo Williamson's synthesis?

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  5. 55
    What is the expression for solubility product of silver chromate if its solubility is expressed as S mol L−1S\,\text{mol L}^{-1}?

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  6. 56
    Which of the following is an alloy of copper and zinc?

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  7. 57
    Calculate the number of octahedral and tetrahedral voids in 0.3 mol of atoms packed in hcp structure.

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  8. 58
    Calculate the molar mass of a metal that crystallises in BCC structure with density 7.8 g cm−37.8\,\text{g cm}^{-3}. [a3⋅NA=16.2 cm3 mol−1][a^3\cdot N_A = 16.2\,\text{cm}^3\,\text{mol}^{-1}]

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  9. 59
    What is the oxidation number of oxygen in OF2\text{OF}_{2}?

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  10. 60
    Identify the reaction and the substrate AA when a quaternary ammonium salt undergoes Hofmann elimination to give CH3CH2N(CH3)2+CH2=CH2\text{CH}_{3}\text{CH}_{2}\text{N}(\text{CH}_{3})_{2}+\text{CH}_{2}=\text{CH}_{2}.

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  11. 61
    Calculate the volume of CO2\text{CO}_{2} gas produced at STP when 612\frac{6}{12} mol of carbon is burnt.

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  12. 62
    Identify the chiral molecule from the following.

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  13. 63
    Calculate the time needed for reactant to decompose 99.9% if rate constant of first order reaction is 0.576 minute−10.576\,\text{minute}^{-1}.

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  14. 64
    What is the number of moles of sp3sp^{3} hybrid carbon atoms in one mole of 2-Methylbut-2-ene?

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  15. 65
    Identify major product A in following reaction: 3-Bromo-2-methylpentane →alc. KOH,Δ\xrightarrow{\text{alc. KOH},\Delta} A

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  16. 66
    For reaction CO(g)+12O2(g)→CO2(g)\text{CO}_{(g)}+\frac{1}{2}\text{O}_{2(g)}\rightarrow\text{CO}_{2(g)}. Which of the following equations is CORRECT at constant T and P?

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  17. 67
    Identify the example of zero-dimensional nanostructure from following.

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  18. 68
    What is pH of solution containing 50 mL each of 0.1 M sodium acetate and 0.01 M acetic acid? (pKa(CH3COOH)=4.50pK_a(\text{CH}_3\text{COOH})=4.50)

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  19. 69
    Calculate amount of methane formed by liberation of 149.6 kJ of heat using following equation: C(s)+2H2(g)→CH4(g) ΔH=−74.8 kJ/mol\text{C}_{(s)}+2\text{H}_{2(g)}\rightarrow\text{CH}_{4(g)}\,\Delta H=-74.8\,\text{kJ/mol}

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  20. 70
    Which from following polymers is used to obtain tyre cords?

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  21. 71
    Electrolytic cells containing Zn and Al salt solutions are connected in series. If 6.5 g of Zn is deposited in one cell calculate mass of Al deposited in second cell (molar mass: Zn=65, Al=27) by passing definite quantity of electricity?

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  22. 72
    What type of glycosidic linkages are present in cellulose?

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  23. 73
    Calculate the rate constant of first order reaction if half life of reaction is 40 minutes.

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  24. 74
    Identify product B in following sequence of reactions: 2n2n Propanone →Ba(OH)2\xrightarrow{\text{Ba(OH)}_2} A →Δ,−H2O\xrightarrow{\Delta, -\text{H}_2\text{O}} nn B

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  25. 75
    Identify rate law expression for 2NO(g)+Cl2(g)→2NOCl(g)2\text{NO}_{(g)}+\text{Cl}_{2(g)}\rightarrow2\text{NOCl}_{(g)} if the reaction is second order in NO and first order in Cl2\text{Cl}_{2}.

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  26. 76
    Which among the following solutions has minimum boiling point elevation?

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  27. 77
    Calculate osmotic pressure of solution of 0.025 mole glucose in 100 mL water at 300 K. (R=0.082 atm dm3 mol−1 K−1R=0.082\,\text{atm dm}^{3}\,\text{mol}^{-1}\,\text{K}^{-1})

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  28. 78
    Which from following is a neutral ligand?

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  29. 79
    How many isomers of C4H11N\text{C}_{4}\text{H}_{11}\text{N} are tertiary amines?

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  30. 80
    Which element from following exhibits diagonal relationship with Mg?

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  31. 81
    Identify the good conductor of electricity from following band gap energy values of solids.
    SolidE gap
    A5.47 eV
    B0.0 eV
    C1.12 eV
    D0.67 eV

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  32. 82
    Identify the product obtained when ethoxybenzene reacts with hot and concentrated HI.

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  33. 83
    Identify thermosetting polymer from following.

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  34. 84
    Which from following phenomenon is inversely proportional with adsorption?

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  35. 85
    Calculate the frequency of blue light having wavelength 440 nm.

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  36. 86
    Which from following elements is NOT radioactive?

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  37. 87
    Which from following is strongest reducing agent?

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  38. 88
    What is the numerical value of spin only magnetic moment of copper in +2 state?

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  39. 89
    Identify the element having highest density from following.

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  40. 90
    What is the shape of AB4E\text{AB}_{4}\text{E} type of molecule according to VSEPR? [E → Lone pair]

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  41. 91
    The molecular formula of hexachlorobenzene is

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  42. 92
    What is the value of specific rotation exhibited by fructose molecule?

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  43. 93
    Which of the following reactions is Rosenmund reduction?

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  44. 94
    Which from following complexes contains only anionic ligands?

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  45. 95
    A hot air balloon has volume of 2000 dm32000\,\text{dm}^{3} at 99∘C99^{\circ}\text{C}. What is the new volume if air in balloon cools to 80∘C80^{\circ}\text{C}?

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  46. 96
    Identify the product obtained in following reaction: n CH3MgI+H2O→dry ethern\,\text{CH}_3\text{MgI}+\text{H}_2\text{O}\xrightarrow{\text{dry ether}} product

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  47. 97
    Which of following pairs is an example of isoelectronic species?

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  48. 98
    Which from following compounds is obtained when anisole is heated with dilute sulfuric acid?

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  49. 99
    Calculate molality of solution of a non-volatile solute having boiling point elevation 1.89 K if boiling point elevation constant of solvent is 3.15 K kg mol−13.15\,\text{K kg mol}^{-1}.

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  50. 100
    What type of following phenomenon does the Cannizzaro reaction exhibit?

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