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MHT-CET 2024 (14 May Shift 2), 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
    The self induction LL produced by solenoid of length ll having NN number of turns & cross sectional area AA is given by the formula (ϕ\phi = magnetic flux, μ0\mu_0 = permeability of vacuum)

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  2. 2
    1000 small water drops of equal size combine to form a big drop. The ratio final surface energy to the total initial surface energy is

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  3. 3
    The output of following combination is same as that of

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  4. 4
    A parallel plate capacitor with air medium between the plates has a capacitance of 10 μF10\,\mu F. The area of capacitor is divided into two equal halves & filled with two media having dielectric constant K1=2K_1 = 2 & K2=4K_2 = 4. The capacitance of the system will be

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  5. 5
    Four identical uniform solid spheres each of same mass MM and radius RR are placed touching each other with centres A, B, C, D. IAI_A and IBI_B are the moment of inertia of these spheres respectively about an axis passing through centre and perpendicular to the plane. The difference in IAI_A and IBI_B is

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  6. 6
    A body starts its motion from rest from a point distant R0R_0 (R0>RR_0 > R) from the centre of the earth. The velocity acquired by the body when it reaches the surface of earth will be (GG = universal constant of gravitation, MM = mass of earth, RR = radius of earth)

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  7. 7
    When two light waves each of amplitude AA & having a phase difference of π2\frac{\pi}{2} superimposed then the amplitude of resultant wave is

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  8. 8
    A sonometer wire 49 cm long is in unison with a tuning fork of frequency nn. If the length of the wire is decreased by 1 cm and it is vibrated with the same tuning fork, 6 beats are heard per second. The value of nn is

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  9. 9
    The power factor of an R-L circuit is 12\frac{1}{\sqrt{2}}. If the frequency of AC is doubled the power factor will now be

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  10. 10
    Ratio of longest wavelength corresponding to Lyman & Balmer series in Hydrogen spectrum is

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  11. 11
    At constant temperature, increasing the pressure of a gas by 5% its volume will decrease by

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  12. 12
    Sound waves of frequency 600 Hz fall normally on a perfectly reflecting wall. The shortest distance from the wall at which all particles will have maximum amplitude of vibration is (speed of sound =300 ms−1= 300\,\text{ms}^{-1})

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  13. 13
    When the conductivity of a semiconductor is only due to the breaking of the covalent bonds, the semiconductor is called

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  14. 14
    A light spring is suspended with mass m1m_1 at its lower end. The mass is pulled down a short distance and released; the period is TT. When a mass m2m_2 is added, the period is 32T\frac{3}{2}T. The ratio m1:m2m_1 : m_2 is

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  15. 15
    A wire PQ has length 4.8 m and mass 0.06 kg. Another wire QR has length 2.56 m and mass 0.2 kg. Both have same radii and are joined. This wire is under tension of 80 N. A wave pulse is sent from end P. The time taken by the wave to reach the other end is (No power dissipated)

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  16. 16
    An alternating voltage E=2002sin⁡(100t)E = 200\sqrt{2}\sin(100t) volt is connected to a 1 μF1\,\mu F capacitor through an AC ammeter. The reading of the ammeter shall be

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  17. 17
    The temperature of a gas is measure of

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  18. 18
    A mass M is moving with constant velocity parallel to X-axis. Its angular momentum with respect to the origin is

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  19. 19
    A charge 17.7×10−4 C17.7 \times 10^{-4}\,\text{C} is distributed uniformly over a large sheet of area 200 m2200\,\text{m}^2. The electric field intensity at a distance 20 cm from it in air will be (ε0=8.85×10−12 C2/Nm2\varepsilon_0 = 8.85 \times 10^{-12}\,\text{C}^2/\text{Nm}^2)

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  20. 20
    Two condensers, one of capacity C2\frac{C}{2} and other capacity CC, are connected to a battery of voltage VV. The work done in charging fully both the condensers is

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  21. 21
    The molecular mass of a gas having r.m.s. speed four times as that of another gas having molecular mass 32 is

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  22. 22
    Two spherical soap bubbles of radii aa and bb in vacuum coalesce under isothermal conditions. The resulting bubble has a radius equal to

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  23. 23
    If EaE_a and EqE_q represent the electric field intensity due to a short dipole at a point on its axial line and on the equatorial line at the same distance rr from the centre of the dipole, then

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  24. 24
    Half life of radio-active element is 1600 years. The fraction of sample remains undecayed after 6400 years will be

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  25. 25
    Earth is assumed to be a sphere of radius RR. If gϕg_\phi is value of effective acceleration due to gravity at latitude 30°30° & gg is the value at equator, then the value of g−gϕg - g_\phi is (ω\omega is angular velocity, cos⁡30°=32\cos 30° = \frac{\sqrt{3}}{2})

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  26. 26
    The position xx of a particle varies with time as x=at2−bt3x = at^2 - bt^3 where aa and bb are constants. The acceleration of the particle will be zero at time tt equal to

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  27. 27
    Refractive index of a glass convex lens is 1.5. The radius of curvature of each of the two surfaces is 20 cm. The ratio of the power of the lens when immersed in a liquid of refractive index 1.25 to that when placed in air is

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  28. 28
    An ideal refrigerator has freezer at a temperature of −13°C-13°C. The coefficient of performance of the engine is 5. The temperature of the air (to which heat is rejected) is

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  29. 29
    The pressure and density of a diatomic gas (γ=75)\left(\gamma = \frac{7}{5}\right) changes adiabatically from (P,ρ)(P, \rho) to (P′,ρ′)(P', \rho'). If ρ′ρ=32\frac{\rho'}{\rho} = 32 then P′P\frac{P'}{P} should be

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  30. 30
    A long wire is bent into a circular coil of one turn and then into a circular coil of smaller radius having nn turns. If the same current passes in both cases, the ratio of magnetic fields produced at the centre for one turn to that of nn turns is

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  31. 31
    When moving coil galvanometer (MCG) is converted into a voltmeter, the series resistance is n times the resistance of galvanometer. How many times that of MCG the voltmeter is now capable of measuring voltage?

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  32. 32
    A long solenoid has 1500 turns. When a current of 35 A flows through it, the magnetic flux linked with each turn of the solenoid is 2.8×10−2 Wb2.8 \times 10^{-2}\,\text{Wb}. The self-inductance of the solenoid is

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  33. 33
    A solid cylinder and a solid sphere having same mass and same radius roll down on the same inclined plane. The ratio of the acceleration of the cylinder aca_c to that of sphere asa_s is

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  34. 34
    On replacing a thin film of mica of thickness 12×10−5 cm12 \times 10^{-5}\,\text{cm} in the path of one of the interfering beams in Young's double slit experiment, the fringe pattern shifts by one fringe width. If λ=6×10−5 cm\lambda = 6 \times 10^{-5}\,\text{cm}, the refractive index of mica is

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  35. 35
    When a monochromatic ray of light is passed through an equilateral glass prism, the refracted ray in glass is parallel to the base. If ii and ee denote the angles of incidence and emergence respectively, then

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  36. 36
    It is easier to spray water to which soap is added because addition of soap to water

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  37. 37
    A block of mass M rests on a piston executing S.H.M. of period one second. The amplitude of oscillations so that the mass is separated from the piston is (g=10 ms−2g = 10\,\text{ms}^{-2}, π2=10\pi^2 = 10)

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  38. 38
    A coil having inductance 1π H\frac{1}{\pi}\,\text{H} is connected in series with resistance 300 Ω300\,\Omega. If 20 V from a 200 Hz source are impressed, the phase angle between the voltage and the current is

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  39. 39
    A machine gun fires bullets of mass 30 g with velocity 1000 m/s. The man can exert a maximum force of 300 N. How many bullets can he fire per second at most?

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  40. 40
    What will be the phase difference between virtual voltage & virtual current when current in the circuit is wattless?

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  41. 41
    Two wavelengths of sodium light 590 nm and 596 nm are used one after another to study diffraction due to single slit of aperture 2×10−6 m2 \times 10^{-6}\,\text{m}. Distance from slit to screen is 1.5 m. The separation between the positions of first maximum of the diffraction pattern in the two cases is

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  42. 42
    A metal rod cools at the rate of 4°C/min4°C/\text{min} when its temperature is 90°C90°C and the rate of 1°C/min1°C/\text{min} when its temperature is 30°C30°C. The temperature of the surrounding is

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  43. 43
    A source of sound is moving towards a stationary observer with 110\frac{1}{10}th of the speed of sound. The ratio of apparent to real frequency is

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  44. 44
    A coil having effective area AA is held with its plane normal to magnetic field BB. The magnetic induction is quickly reduced by 25% of its initial value in 2 seconds. Then the e.m.f. induced across the coil will be

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  45. 45
    In an n-p-n transistor, the collector current is 28 mA. If 80% of electrons reach the collector, its base current in mA is

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  46. 46
    When radiation of wavelength λ\lambda is incident on a metallic surface, the stopping potential is 4.8 V. If the surface is illuminated with radiation of double the wavelength the stopping potential becomes 1.6 V. The threshold wavelength for the surface is

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  47. 47
    A uniform circular disc of mass 12 kg is held by two identical springs. When the disc is slightly pressed down and released, it executes S.H.M. of period 2 second. The force constant of each spring is (π2=10\pi^2 = 10)

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  48. 48
    Figure shows two semicircular loops of radii R1R_1 and R2R_2 carrying current II. The magnetic field at the common centre O is

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  49. 49
    In potentiometer experiment, the balancing length is 8 m when two cells E1E_1 and E2E_2 are joined in series. When two cells are connected in opposition the balancing length is 4 m. The ratio of the e.m.f. of the two cells E1E2\frac{E_1}{E_2} is

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  50. 50
    In the hysteresis curve the value of magnetization which will be present in a substance when value of magnetizing force (H) is made zero (H=0) is called as

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Chemistry

50 questions

  1. 51
    An organic monobasic acid has dissociation constant 2.25×10−62.25 \times 10^{-6}. What is percent dissociation in its 0.01 M solution?

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  2. 52
    Calculate the frequency if wavelength is 750 nm.

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  3. 53
    What is the number of moles of ethane obtained from 2n moles of bromomethane using 2n moles of sodium atoms in dry ether medium?

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  4. 54
    Which from following elements is in liquid state at room temperature?

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  5. 55
    Identify the element having highest ionization enthalpy.

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  6. 56
    Calculate E°cellE°_{cell} for Cd(s)∣Cd2+(1M)∥Ag+(1M)∣Ag(s)\text{Cd}(s)|\text{Cd}^{2+}(1M)\|\text{Ag}^+(1M)|\text{Ag}(s). E°Cd=−0.403 VE°_{Cd} = -0.403\,\text{V}; E°Ag=0.799 VE°_{Ag} = 0.799\,\text{V}

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  7. 57
    A neon-dioxygen mixture contains 64 g O2_2 and 160 g Ne. If the total pressure is 25 bar, calculate the partial pressure of dioxygen.

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  8. 58
    Which from following combinations is an example for construction of n-type semiconductor?

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  9. 59
    Which of the following amines on heating with chloroform generate foul smelling product?

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  10. 60
    Which of the following is Clemmensen reduction?

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  11. 61
    Calculate Henry's law constant KHK_H if the solubility S=0.028 mol dm−3S = 0.028\,\text{mol dm}^{-3} at pressure P=0.346 barP = 0.346\,\text{bar}.

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  12. 62
    Identify anionic sphere complex from following

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  13. 63
    Calculate the edge length of bcc unit cell if radius of metal atom is 227 pm.

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  14. 64
    Which coordination complex from following contains neutral ligand?

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  15. 65
    Which from following is an example of two dimensional nanostructures?

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  16. 66
    Which of the following gases is readily adsorbed by solid adsorbent?

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  17. 67
    Which of the following is a structural formula of DDT?

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  18. 68
    A conductivity cell containing 0.001 M AgNO30.001\,\text{M AgNO}_3 solution develops resistance 6530 Ω\Omega at 25°C25°C. Calculate the electrical conductivity of solution if the cell constant is 0.653 cm−10.653\,\text{cm}^{-1}.

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  19. 69
    Which from following polymers is classified as fibres depending on inter molecular forces?

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  20. 70
    What is the number of sp3^3 hybrid carbon atoms in HO(CH2)3CH(CH3)CH(CH3)2\text{HO(CH}_2)_3\text{CH(CH}_3)\text{CH(CH}_3)_2?

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  21. 71
    What is the oxidation number of Pt in [PtCl6]2−[PtCl_6]^{2-}?

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  22. 72
    Identify the use of HDP from following.

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  23. 73
    Identify the compound A in the following sequence: A→C2H5MgBr/dry ether→H3O+A \xrightarrow{C_2H_5MgBr/\text{dry ether}} \xrightarrow{H_3O^+} 3-Methylpentan-3-ol

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  24. 74
    Find the number of unpaired electrons for copper in ground state configuration.

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  25. 75
    A solution of nonvolatile solute obtained by dissolving 15 g in 200 mL water has depression in freezing point 0.75 K. Calculate the molar mass if cryoscopic constant is 1.86 K kg mol−11.86\,\text{K kg mol}^{-1}.

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  26. 76
    Identify major product formed: 3-Bromo-2-methylpentane →Alc. KOH/Δ\xrightarrow{\text{Alc. KOH}/\Delta} Major product

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  27. 77
    Identify substrate A: 2n A+dimethyl cadmium→2n Propanone+n CdCl22n\,A + \text{dimethyl cadmium} \rightarrow 2n\,\text{Propanone} + n\,\text{CdCl}_2

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  28. 78
    Which of the following pair of compounds demonstrates the law of multiple proportions?

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  29. 79
    Which among the following is haloalkyne?

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  30. 80
    Calculate the rate constant of the first order reaction if 80% of the reactant decomposes in 60 minutes.

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  31. 81
    Which among the following species is reduced by tin easily?

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  32. 82
    What is IUPAC name of following compound?

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  33. 83
    What type of peptide is the glycylalanine?

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  34. 84
    What type of following solutions is the gasoline?

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  35. 85
    Which from following thermodynamic properties is a path function?

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  36. 86
    The rate law for the reaction A + B →\rightarrow product is rate =k[A][B]= k[A][B]. When will the rate of reaction increase by factor two?

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  37. 87
    Which of the following is a secondary allylic alcohol?

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  38. 88
    Which of the following is NOT a basic amino acid?

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  39. 89
    What is molecular formula of cyclohexylamine?

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  40. 90
    What is formal charge on carbon in the following Lewis structure? (CO2 Lewis structure shown)

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  41. 91
    Which among the following is NOT dicarboxylic acid?

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  42. 92
    Which element from following rapidly loses its luster in air and tarnishes?

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  43. 93
    Identify base2_2 for following equation according to Brønsted-Lowry theory: HCl(aq)+H2O(l)⇌H3O(aq)++Cl(aq)−\text{HCl}_{(aq)} + \text{H}_2\text{O}_{(l)} \rightleftharpoons \text{H}_3\text{O}^+_{(aq)} + \text{Cl}^-_{(aq)}

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  44. 94
    For a reaction A + B →\rightarrow products ΔH=−84.2 kJ\Delta H = -84.2\,\text{kJ} and ΔS=−200 J K−1\Delta S = -200\,\text{J K}^{-1}. Calculate the highest value of temperature for forward spontaneity.

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  45. 95
    Calculate the PV type of work for the following reaction at 1 bar: C3H6(g)(150 mL)+HCl(g)(150 mL)→C3H7Cl(g)(150 mL)C_3H_6(g)(150\,\text{mL}) + HCl(g)(150\,\text{mL}) \rightarrow C_3H_7Cl(g)(150\,\text{mL})

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  46. 96
    Calculate the density of metal having molar mass 210 g mol−1210\,\text{g mol}^{-1} that forms simple cubic unit cell (a3⋅NA=21.5 cm3 mol−1a^3 \cdot N_A = 21.5\,\text{cm}^3\,\text{mol}^{-1})

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  47. 97
    What is the value of rate constant for first order reaction if slope for the graph of rate versus concentration is 2.5×10−32.5 \times 10^{-3}

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  48. 98
    The solubility product of PbCl2_2 at 298 K is 3.2×10−53.2 \times 10^{-5}. What is its solubility in mol dm−3^{-3}?

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  49. 99
    Identify the element having positive electron gain enthalpy.

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  50. 100
    Which among the following elements does NOT exhibit ferromagnetic properties?

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