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MHT-CET 2024 (10 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 black body radiates maximum energy at wavelength 'λ\lambda' and its emissive power is E. Now due to change in temperature of that body, it radiates maximum energy at wavelength 2λ3\frac{2\lambda}{3}. At that temperature emissive power is

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  2. 2
    Two capacitors C1=3 μFC_1=3\,\mu\text{F} and C2=2 μFC_2=2\,\mu\text{F} are connected in series across a d.c. source of 100 V. The ratio of the potential across C2C_2 to C1C_1 is

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  3. 3
    The amplitude of a particle executing S.H.M. is 3 cm. The displacement at which its kinetic energy will be 25% more than the potential energy is

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  4. 4
    A body is released from the top of tower 'H' metre high. It takes t second to reach the ground. The height of the body t2\frac{t}{2} second after release is

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  5. 5
    Identify the mismatch out of the following

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  6. 6
    According to Curie's law in magnetism, the correct relation is (M = magnetization, B = applied field, T = absolute temperature, C = Curie's constant)

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  7. 7
    The average force applied on the walls of a closed container depends on TxT^x where T is the temperature of an ideal gas. The value of 'x' is

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  8. 8
    If 'I' is moment of inertia of a thin circular disc about an axis passing through the tangent of the disc and in the plane of disc. The moment of inertia of the same disc about an axis perpendicular to the plane and passing through its centre is

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  9. 9
    Which of the following is NOT involved in the formation of secondary rainbow?

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  10. 10
    A person is observing a bacteria through a compound microscope. For better observation and to improve its resolving power he should

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  11. 11
    In a series LR circuit XL=RX_L=R, power factor is P1P_1. If a capacitor with XC=XLX_C=X_L is added, power factor becomes P2P_2. The ratio P1:P2P_1:P_2 will be

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  12. 12
    The inductive reactance of a coil is 'XLX_L'. If inductance is tripled and frequency is doubled, the new inductive reactance will be

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  13. 13
    Electron of mass 'm' and charge 'q' is travelling with speed 'v' along a circular path of radius 'R', at right angles to a uniform magnetic field of intensity 'B'. If the speed of the electron is halved and the magnetic field is doubled, the resulting path would have radius

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  14. 14
    Two sources of light are 0.6 mm apart and a screen is placed at a distance of 1.2 m from them. Light of wavelength 6000 Å is used. The phase difference between the two light waves interfering on the screen at a point 3 mm from the central bright band is

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  15. 15
    If only 1% of total current is passed through a galvanometer of resistance 'G', the shunt resistance is

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  16. 16
    If length of stretched string is reduced by 40% and tension is increased by 44%, the ratio of final to initial frequency is

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  17. 17
    To obtain the truth table shown, from the following logic circuit, the gate G should be
    ABY
    001
    010
    101
    111

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  18. 18
    Water flows through a horizontal pipe at a speed VV. The internal diameter of the pipe is dd. If the water comes out at a speed V1V_1, then the diameter of the nozzle is

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  19. 19
    A satellite moves in a stable circular orbit if (VHV_H = horizontal velocity, VCV_C = critical velocity, VeV_e = escape velocity)

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  20. 20
    A square loop of area 25 cm225\,\text{cm}^2 has a resistance of 10 Ω10\,\Omega. This loop is placed in a uniform magnetic field of magnitude 40 T. The plane of the loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in one second, will be

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  21. 21
    An electron accelerated through potential V1V_1 has de Broglie wavelength λ\lambda. When potential changes to V2V_2 wavelength increases by 50%. The value of V1V2\frac{V_1}{V_2} is

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  22. 22
    Seven identical discs, each of mass MM and radius RR, are arranged in a hexagonal plane pattern so as to touch each neighbouring disc, as shown in the figure. The moment of inertia of the system of seven discs about an axis passing through the centre of the central disc and normal to the plane of all discs is

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  23. 23
    Three liquids have the same surface tension and densities ρ1,ρ2\rho_1, \rho_2 and ρ3\rho_3 (ρ1>ρ2>ρ3\rho_1 > \rho_2 > \rho_3). In three identical capillaries the rise of liquid is the same. The corresponding angles of contact θ1,θ2\theta_1, \theta_2 and θ3\theta_3 are related as

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  24. 24
    In Young's double slit experiment the separation between the slits is doubled without changing the other settings of the experiment. To obtain the same fringe width, the distance DD of the screen from the slits should be made

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  25. 25
    A voltmeter of resistance 150 Ω\Omega across a cell of e.m.f. 3 V reads 2.5 V. The internal resistance of the cell is

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  26. 26
    Maximum kinetic energy of photon is 'EE' when wavelength of incident radiation is 'λ\lambda'. If wavelength of incident radiations is reduced to λ3\frac{\lambda}{3} then energy of photon becomes four times. Then work function of the metal is

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  27. 27
    A double convex air bubble in water behaves as

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  28. 28
    For a satellite in circular orbit, the ratio of potential energy to kinetic energy is

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  29. 29
    In insulators

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  30. 30
    Gas at temperature T is adiabatically expanded to double its volume. Work done (γ=32\gamma=\frac{3}{2}) is

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  31. 31
    Heat energy is incident on the surface at the rate of [x][x] J/min. If 'aa' and 'rr' represent coefficient of absorption and reflection respectively, then the heat energy transmitted by the surface in 'tt' minutes is

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  32. 32
    Consider the Doppler effect in two cases. In the first case, an observer moves towards a stationary source of sound with a speed of [50] m/s[50]\text{ m/s}. In the second case, the observer is at rest and the source moves towards the observer with the same speed of [50] m/s[50]\text{ m/s}. Then the frequency heard by the observer will be [velocity of sound in air =330 m/s= 330\text{ m/s}]

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  33. 33
    An electric dipole consisting of two opposite charges of 2×10−62 \times 10^{-6} C separated by a distance of 3 cm is placed in an electric field of 2×1052 \times 10^{5} N/C. The maximum torque acting on the dipole is

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  34. 34
    A particle of mass mm is rotating along a circular path of radius rr, having angular momentum LL. The centripetal force acting on the particle is given by

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  35. 35
    Two long parallel wires carrying currents 8 A and 15 A in opposite directions are placed at a distance of 7 cm from each other. A point P is equidistant from both the wires such that the lines joining the point to the wires are perpendicular to each other. The magnitude of magnetic field at point P is (2=1.4)(\sqrt{2} = 1.4) (μ0=4π×10−7 H/m)(\mu_0 = 4\pi \times 10^{-7}\,\text{H/m})

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  36. 36
    An open organ pipe having fundamental frequency (nn) is in unison with a vibrating string. If the tube is dipped in water so that 75%75\% of the length of the tube is inside the water, then the ratio of fundamental frequency of the air column of the dipped tube with that of the string will be (Neglect end corrections)

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  37. 37
    A Carnot engine with efficiency 50%50\% takes heat from a source at 600 K. To increase the efficiency to 70%70\%, keeping the temperature of the sink same, the new temperature of the source will be

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  38. 38
    A piece of metal at 850 K is dropped into 1 kg water at 300 K. If the equilibrium temperature of water is 350 K, then the heat capacity of the metal, expressed in J K−1\text{J K}^{-1}, is (1 cal=4.2 J1\ \text{cal} = 4.2\ \text{J})

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  39. 39
    In the circuit shown the ratio of quality factor and the bandwidth is

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  40. 40
    A parallel plate capacitor has plate area AA and separation between the plates dd. It is charged to a potential difference of V0V_0 volt. The charging battery is then disconnected and the plates are pulled apart to three times the initial distance. The work done to increase the distance between the plates is (ε0\varepsilon_0 = permittivity of free space)

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  41. 41
    The ratio of longest to shortest wavelength emitted in Paschen series of hydrogen atom is

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  42. 42
    There is a second's pendulum on the surface of earth. It is taken to the surface of planet whose mass and radius are twice that of earth. The period of oscillation of second's pendulum on the planet will be

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  43. 43
    The height of the liquid column raised in a capillary tube of a certain radius, when dipped vertically in liquid A, is 5 cm. If the tube is dipped in the same manner in another liquid B whose surface tension and density are double the values of liquid A, the height of the liquid column raised in liquid B would be (assume the angle of contact is the same)

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  44. 44
    The mean electrical energy density between the plates of a charged air capacitor is (where qq = charge on the capacitor, AA = area of a capacitor plate)

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  45. 45
    Two conducting circular loops of radii R1R_1 and R2R_2 are placed in the same plane with their centres coinciding. If R1>R2R_1 > R_2, the mutual inductance MM between them will be directly proportional to

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  46. 46
    A body of mass 200 gram is tied to a spring of spring constant [125] N/m[125]\,\text{N/m}, while the other end of the spring is fixed at point O. If the body moves about O in a circular path on a smooth horizontal surface with constant angular speed 5 rad/s, then the ratio of extension in the spring to its natural length will be

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  47. 47
    Shortest wavelength in Balmer series of H = shortest wavelength in Brackett series of hydrogen-like atom of atomic number z. Value of z is

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  48. 48
    In case of a stationary wave pattern which of the following statement is CORRECT?

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  49. 49
    If a lighter body of mass 'M1M_1' and velocity 'V1V_1' and a heavy body (mass M2M_2 and velocity V2V_2) have the same kinetic energy then

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  50. 50
    Graph of magnetic flux ϕ\phi vs current I for four inductors A, B, C, D. Larger self-inductance is for

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Chemistry

50 questions

  1. 51
    Acetic acid dissociated to 1.20% in its 0.01 M solution. Value of dissociation constant is

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  2. 52
    Reaction 3ClO−→ClO3−+2Cl−3\text{ClO}^-\to\text{ClO}_3^-+2\text{Cl}^- in two steps: (i) 2ClO−→ClO2−+Cl−2\text{ClO}^-\to\text{ClO}_2^-+\text{Cl}^-; (ii) ClO2−+ClO−→ClO3−+Cl−\text{ClO}_2^-+\text{ClO}^-\to\text{ClO}_3^-+\text{Cl}^-. Reaction intermediate is

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  3. 53
    3.2 g solute (molar mass 128 g/mol) in 80 g solvent, Kf=4.8K_f=4.8 K·kg/mol. Depression in freezing point is

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  4. 54
    Which among following statements is NOT true according to principles of green chemistry?

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  5. 55
    Calculate the edge length of unit cell of metal which crystallises to bcc structure. (radius of metal atom = 173 pm)

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  6. 56
    Lewis acid is a substance that

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  7. 57
    What is new temperature of a gas when its initial volume 3 dm3^3 at 300 K is doubled at constant pressure?

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  8. 58
    Identify biodegradable polymer from following.

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  9. 59
    Which among the following alcohols reacts fastest with HBr?

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  10. 60
    Identify the physical quantity that is measured in Candela.

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  11. 61
    Identify compound Y in the following reaction: C2H5Cl+Y→ΔC2H5CN\text{C}_2\text{H}_5\text{Cl}+Y\xrightarrow{\Delta}\text{C}_2\text{H}_5\text{CN}

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  12. 62
    What is change in internal energy when system releases 8 kJ of heat and performs 660 J of work on the surroundings?

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  13. 63
    Which of the following is NOT a difficulty in setting up SHE?

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  14. 64
    Identify the name of the compound shown from the following.

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  15. 65
    The difference between ΔH\Delta H and ΔU\Delta U is usually significant for systems consisting of

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  16. 66
    Conductivity of solution is 1.26×10−2 Ω−1cm−11.26\times10^{-2}\,\Omega^{-1}\text{cm}^{-1}. Molar conductivity for 0.01 M solution is

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  17. 67
    Identify strongest oxoacid of halogen from following.

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  18. 68
    What is the value of x to balance: Mn(aq)2++xClO3−(aq)→MnO2(s)+xClO2(aq)\text{Mn}^{2+}_{(aq)}+x\text{ClO}_3^-\text{(aq)}\to\text{MnO}_2\text{(s)}+x\text{ClO}_2\text{(aq)}

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  19. 69
    Identify the reagent R used in: Benzene diazonium chloride +R→+R\to Benzene

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  20. 70
    Which of the following compounds reacts with HBr to form 1-bromo-1-methylcyclohexane?

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  21. 71
    Identify degenerate orbitals from following for hydrogen atom.

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  22. 72
    Identify glycosidic linkage present in lactose.

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  23. 73
    2 moles ideal gas expand from 3 dm3^3 at constant external pressure 16 bar, work done = 800 J. Final volume is

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  24. 74
    Which among the following statements of group-1 elements is NOT true?

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  25. 75
    Which of the following elements is doped to obtain fiber amplifiers for optical fiber communication system?

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  26. 76
    The structure of functional group of secondary amide is

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  27. 77
    Which among the following α\alpha-amino acids does not have chiral carbon atom?

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  28. 78
    Which among the following phenols does not correctly match with their IUPAC names?

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  29. 79
    Molar mass of element: density 2.7 g/cm3^3, fcc structure, a3NA=40a^3N_A=40 cm3^3/mol.

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  30. 80
    Aniline treated with NaNO2_2+HCl at low temperature forms

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  31. 81
    Benzene + ozone (excess) →CCl4\xrightarrow{\text{CCl}_4} benzene triozonide →Zn/H2O\xrightarrow{\text{Zn/H}_2\text{O}} P + H2_2O2_2. Product P is

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  32. 82
    Calculate concentration of H+^+ ions in a solution if pOH is 11.

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  33. 83
    Identify lanthanoid element from following.

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  34. 84
    EAN of cobalt in [Co(NH3_3)6_6]3+^{3+} (ZCo_{\text{Co}}=27) is

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  35. 85
    Which of the following is a characteristic of lyophilic colloid?

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  36. 86
    What is the total number of Bravais lattices present for different crystal systems?

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  37. 87
    For 3I−+S2O82−→I3−+2SO42−3\text{I}^-+\text{S}_2\text{O}_8^{2-}\to\text{I}_3^-+2\text{SO}_4^{2-}, at time t, d[SO42−]dt=2.2×10−2\frac{d[\text{SO}_4^{2-}]}{dt}=2.2\times10^{-2} mol dm−3^{-3} s−1^{-1}. Value of −d[I−]dt-\frac{d[\text{I}^-]}{dt} is

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  38. 88
    Mass of Mg from electrolysis of molten MgCl2_2: 2 A for 482.5 s. (MMg_{\text{Mg}}=24 g/mol)

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  39. 89
    Which solution exhibits lowest boiling point elevation (complete dissociation)?

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  40. 90
    Which colour is obtained in Schiff test of aldehydes?

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  41. 91
    Identify the molecule that does NOT involve sp3^3 hybridization.

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  42. 92
    Which species is NOT isoelectronic with neon (10 e−^-)?

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  43. 93
    Identify the method used to obtain SO2_2 gas in industry.

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  44. 94
    Identify heteroleptic complex from following.

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  45. 95
    Which among the following compounds is hemiacetal?

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  46. 96
    Half life of first order reaction if rate constant is 4.2×10−24.2\times10^{-2} per day is

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  47. 97
    Which monomer is used to prepare thermocol?

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  48. 98
    Identify the compound with highest acidic strength from following.

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  49. 99
    Identify Ketone from the following.

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  50. 100
    What type of solution is ethyl alcohol in water?

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