PYQ Vault

MHT-CET 2026 (12 May Shift II), Paper II, Physics & Chemistry question paper

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

Every question in the order it was set, free to read. Tap an option to check it, or open the answer and worked solution. Answers open as you go; sign in free to keep opening them.

Sit it as a timed mock

Physics

50 questions

  1. 1
    A quantity QQ is formulated X−2Y+32Z−25X^{-2}Y^{+\frac{3}{2}}Z^{-\frac{2}{5}}. X,YX, Y and ZZ are independent parameters which have fractional errors of 0.10.1, 0.20.2 and 0.50.5 respectively in measurement. The maximum fractional error of QQ is

    Tap an option to check your answer.

  2. 2
    The resultant of two vectors A⃗\vec{A} and B⃗\vec{B} is C⃗\vec{C}. If the magnitude of B⃗\vec{B} is doubled, the new resultant vector becomes perpendicular to A⃗\vec{A}. Then the magnitude of C⃗\vec{C} is

    Tap an option to check your answer.

  3. 3
    A block of mass 11 kg is kept on ice surface. When velocity of 44 m/s is given to it, it stops by friction in 55 second. The coefficient of friction is (acceleration due to gravity, g=10 m/s2g = 10\ \mathrm{m/s^2})

    Tap an option to check your answer.

  4. 4
    Two bodies rotate with kinetic energies E1E_1 and E2E_2, moment of inertia about their axes of rotation is I1I_1 and I2I_2. If 3I1=I23I_1 = I_2 and E1=27E2E_1 = 27E_2 then the ratio of the angular momenta L1L_1 to L2L_2 is

    Tap an option to check your answer.

  5. 5
    A disc of mass 100100 kg and radius 11m is rotating at 300300 r.p.m. The torque required to rotate the disc in opposite direction with same speed in time 5050 second is

    Tap an option to check your answer.

  6. 6
    Two loops AA and BB of radii R1R_1 and R2R_2 are made from uniform wire. If moment of inertia of loops AA and BB is IAI_A and IBI_B respectively then R1R2\dfrac{R_1}{R_2} is (Given: IAIB=27\dfrac{I_A}{I_B} = 27)

    Tap an option to check your answer.

  7. 7
    A body is projected vertically upwards from earth's surface. If its kinetic energy of projection is equal to half of its minimum value required to escape from the gravitational influence then the height up to which it rises is (RR = radius of earth)

    Tap an option to check your answer.

  8. 8
    The height of the liquid column raised in a capillary tube of certain radius when dipped in liquid AA vertically is 55 cm. If the same tube is dipped in similar way in another liquid BB of surface tension and density double the values of liquid AA, the height of liquid column raised in liquid BB is (Assume that angle of contact for both the liquids is almost same)

    Tap an option to check your answer.

  9. 9
    A water tank of height ′h′'h' has a hole at the bottom. It is completely filled with water. The total pressure at the bottom is 4H4H and atmospheric pressure is HH. The velocity of water flowing out of the hole is (ρ\rho = density of water)

    Tap an option to check your answer.

  10. 10
    ′n′'n' small drops of water having same size fall through air with constant velocity 44 cm/s. They coalesce to form a big drop. The terminal velocity of the big drop is

    Tap an option to check your answer.

  11. 11
    What is the change in volume of an iron sphere of volume 400400 cm3^3, when it is heated from 0∘C0^\circ C to 50∘C50^\circ C ? (αiron=12×10−6/∘C\alpha_{iron} = 12 \times 10^{-6}/^\circ C)

    Tap an option to check your answer.

  12. 12
    A rectangular black body of temperature 27∘C27^\circ C has surface area 66 cm ×3\times 3 cm and rate of radiation EE. If its temperature is increased by 300∘C300^\circ C and its linear dimensions are reduced to (13)rd\left(\dfrac{1}{3}\right)^{rd} of their initial value then the rate of radiation is

    Tap an option to check your answer.

  13. 13
    An ideal gas heat engine operate in Carnot cycle between 327∘C327^\circ C and 227∘C227^\circ C. It absorbs 6×1046 \times 10^4 cal of heat at higher temperature. How much is the amount of heat converted in to work?

    Tap an option to check your answer.

  14. 14
    A monoatomic gas undergoes adiabatic change. Its pressure PP and temperature TT are related as P∝TxP \propto T^x where xx is

    Tap an option to check your answer.

  15. 15
    At 27∘C27^\circ C temperature, the mean kinetic energy of the atoms of an ideal gas is E1E_1. If the temperature is increased by 300∘C300^\circ C then the mean kinetic energy of the atoms will be

    Tap an option to check your answer.

  16. 16
    The ratio of CpC_p to CvC_v for a non-rigid diatomic gas is

    Tap an option to check your answer.

  17. 17
    A ball released from height (h)(h) which makes perfectly elastic collision with ground. The frequency of periodic vibratory motion is (gg = acceleration due to gravity)

    Tap an option to check your answer.

  18. 18
    A spring produces extension ′x′'x' by applying a force ′F′'F' N. A body of mass ′m′'m' suspended from spring oscillates vertically with period ′T′'T'. The mass of the suspended body is (Neglect mass of spring)

    Tap an option to check your answer.

  19. 19
    If length of oscillating simple pendulum is made (13)\left(\dfrac{1}{3}\right) times at a place keeping amplitude same then its total energy will be

    Tap an option to check your answer.

  20. 20
    A simple pendulum of length ′L′'L' and mass of the bob ′m′'m' is oscillating with amplitude ′A′'A'. The maximum tension in the string is (gg = acceleration due to gravity)

    Tap an option to check your answer.

  21. 21
    The equation of a wave travelling on a string is Y=sin⁡(20πx+10πt)Y = \sin(20\pi x + 10\pi t), where xx and tt are distance and time in SI units. The minimum distance between two points having the same oscillating speed is

    Tap an option to check your answer.

  22. 22
    In sonometer experiment, the string of length ′L′'L' under tension vibrates in second overtone between the two bridges. The amplitude of vibration is maximum at length

    Tap an option to check your answer.

  23. 23
    The third overtone of a closed organ pipe is in unison with 3rd3^{rd} overtone of an open pipe. The ratio of length of closed to open pipe is

    Tap an option to check your answer.

  24. 24
    A sonometer wire resonates with a given tuning fork forming standing wave with 55 antinodes between two bridges when mass of 99 kg is suspended from the wire. When mass MM is suspended from the wire with same fork and same length between two bridges, 33 antinodes are formed. Mass MM is

    Tap an option to check your answer.

  25. 25
    A spherical conductor of diameter 33 mm is kept in a uniform electric field of intensity 4×1074 \times 10^7 N/C. The maximum charge on the conductor is (14πϵ0=9×109 SI units)\left(\dfrac{1}{4\pi\epsilon_0} = 9 \times 10^9\,SI\,units\right)

    Tap an option to check your answer.

  26. 26
    A capacitor of capacity 5 μF5\,\mu F is charged by a battery of e.m.f. 1010 V. At an instant, the potential difference across the capacitor is 44 V and the time rate of change of potential difference across the capacitor is 0.60.6 V/s. Then the time rate at which energy is stored in the capacitor at that instant is

    Tap an option to check your answer.

  27. 27
    What will be the charge on any one of the 4 μF4\,\mu F capacitors and 2 μF2\,\mu F capacitor in μC\mu C ?

    Tap an option to check your answer.

  28. 28
    A capacitor of unknown capacitance is connected across a battery of ′V′'V' volt. The charge stored in it is ′Q′'Q' C. When potential across the capacitor is reduced by ′V1′'V_1' volt, the charge stored in it becomes ′Q1′'Q_1' C. The potential ′V′'V' is

    Tap an option to check your answer.

  29. 29
    When current II is passed through galvanometer coil, it is deflected through 16∘16^\circ. But when it is shunted by a resistance of 8 Ω8\,\Omega, the same current produces a deflection of 4∘4^\circ. The resistance of the galvanometer is

    Tap an option to check your answer.

  30. 30
    To determine the internal resistance of a cell by using a potentiometer, the null point is obtained at 11m when cell is shunted by 3 Ω3\,\Omega resistance and at 1.51.5m length when cell is shunted by 6 Ω6\,\Omega resistance. The internal resistance of the cell is

    Tap an option to check your answer.

  31. 31
    Two parallel wires of equal lengths are separated by a distance of 33 m from each other. The currents flowing through first and second wire is 33A and 4.54.5A respectively in opposite directions. The resultant magnetic field at mid point of both the wires is (μ0\mu_0 = permeability of free space)

    Tap an option to check your answer.

  32. 32
    Choose the WRONG Statement from the following statements. (A) A toroid is a solenoid bent in the form of a closed ring. (B) The magnetic field lines of solenoid are straight lines parallel to the axis inside the solenoid. (C) The magnetic field lines of toroid are circular having common centre. (D) Inside a solenoid, magnetic field may be made strong by passing small current and using laminated coil of soft iron.

    Tap an option to check your answer.

  33. 33
    The relation between total magnetic field (B)(B), magnetic intensity (H)(H), permeability of free space (μ0)(\mu_0) and susceptibility (χ)(\chi) is

    Tap an option to check your answer.

  34. 34
    A closed coil consists of 500500 turns on a rectangular frame of area 4.04.0 cm2^2 and has a resistance of 50 Ω50\,\Omega. The coil is kept with its plane perpendicular to a uniform magnetic field of 0.20.2 T. The amount of charge flowing through the coil if it is turned through 180∘180^\circ will be 1.6×10−x1.6 \times 10^{-x} C. The Value of xx is

    Tap an option to check your answer.

  35. 35
    An induced current of 22A flows through a coil. The resistance of the coil is 10 Ω10\,\Omega. What is the change in magnetic flux associated with a coil in 11 ms ?

    Tap an option to check your answer.

  36. 36
    The coil of area 0.10.1 m2^2 has 10001000 turns. It is placed in a magnetic field of strength 5×10−45 \times 10^{-4} T. The average e.m.f. induced in the coil, if rotated through 1800180^0 in 0.10.1 s is (cos⁡0∘=1,cos⁡180∘=−1)(\cos 0^\circ = 1, \cos 180^\circ = -1)

    Tap an option to check your answer.

  37. 37
    An inductor of self inductance 11H connected in series with a resistor of 100 π Ω100\,\pi\,\Omega and an a.c. supply of 100 π100\,\piV, 5050 Hz. Maximum current flowing in the circuit in ampere is

    Tap an option to check your answer.

  38. 38
    In the given circuit, r.m.s. value of current through the resistor RR is

    Tap an option to check your answer.

  39. 39
    A capacitor of 10 μF10\,\mu F has reactance 2×10−3 Ω2 \times 10^{-3}\,\Omega. The corresponding frequency is

    Tap an option to check your answer.

  40. 40
    A convex lens of focal length FF produces a real image ′n′'n' times the size of the object. The image distance is

    Tap an option to check your answer.

  41. 41
    Two plane polarised light waves combine at a certain point whose electric field components are E1=E0sin⁡ωtE_1 = E_0\sin\omega t and E2=E0sin⁡(ωt+π/3)E_2 = E_0\sin(\omega t + \pi/3). The amplitude of the resultant wave is (cos⁡60∘=0.5)(\cos 60^\circ = 0.5)

    Tap an option to check your answer.

  42. 42
    A Parallel beam of monochromatic light is incident on a plane reflecting surface. If width of the plane incident and reflected plane wavefront is represented by ABAB and CDCD respectively then

    Tap an option to check your answer.

  43. 43
    A double slit experiment is immersed in water of refractive index 1.331.33. The slit separation is 11 mm, distance between slit and screen is 1.331.33 m. The slits are illuminated by a light of wavelength 6300 A˚6300\ \mathrm{\mathring{A}}. The fringewidth is x×10−4 mx \times 10^{-4}\,m. The value of ′x′'x' is

    Tap an option to check your answer.

  44. 44
    The ratio of de-Broglie wavelengths of molecules of hydrogen and helium which are at temperatures 27∘C27^\circ C and 127∘C127^\circ C respectively is (mHe=2mH2)(m_{He} = 2m_{H_2})

    Tap an option to check your answer.

  45. 45
    An electromagnetic wave of wavelength λ\lambda is incident on a photosensitive surface of negligible work function. If the photoelectrons emitted from this surface have de-Broglie wavelength λ1\lambda_1, then

    Tap an option to check your answer.

  46. 46
    In Bohr's theory of hydrogen atom, in any series of spectral lines, wavelength of first line and corresponding series limit is respectively

    Tap an option to check your answer.

  47. 47
    Assuming the atom is in the ground state, the expression for the magnetic field at a point nucleus in hydrogen atom due to circular motion of electron is (μ0\mu_0 = permeability of free space, ϵ0\epsilon_0 = permittivity of free space, mm = mass of electron, ee = electronic charge)

    Tap an option to check your answer.

  48. 48
    Pure silicon crystal at 300300K has equal electron and hole concentration 2×10162 \times 10^{16} per m3^3. Doping by indium increases hole concentration to 4×10224 \times 10^{22} per m3^3. Electron concentration in doped silicon is

    Tap an option to check your answer.

  49. 49
    The circuit shown contains two ideal diodes D1D_1 and D2D_2. If a cell of e.m.f. 33V and negligible internal resistance is connected, then the current through 70 Ω70\,\Omega resistance in ampere is

    Tap an option to check your answer.

  50. 50
    The output YY of the given logic circuit is similar to the output of

    Tap an option to check your answer.

Chemistry

50 questions

  1. 51
    Identify the quantity of water (expressed in different terms) that contains highest number of water molecules in it.

    Tap an option to check your answer.

  2. 52
    Identify the orbital having quantum numbers, n=4n = 4 and l=2l = 2 from following.

    Tap an option to check your answer.

  3. 53
    Which element in group 1717 has the highest electronegativity?

    Tap an option to check your answer.

  4. 54
    Identify the false statement regarding PCl5\mathrm{PCl_5} by following.

    Tap an option to check your answer.

  5. 55
    Which among the following gases is difficult to liquefy ?

    Tap an option to check your answer.

  6. 56
    Calculate the work done, when three moles of an ideal gas expand isothermally from 16 dm316\,dm^3 to 20 dm320\,dm^3, at a constant external pressure of 1.51.5 bar.

    Tap an option to check your answer.

  7. 57
    Which of the following statements is NOT true regarding the isothermal process?

    Tap an option to check your answer.

  8. 58
    The solubility of sparingly soluble salt BABA in water is 1.2×10−51.2 \times 10^{-5} mol dm−3^{-3}. Find its solubility product.

    Tap an option to check your answer.

  9. 59
    A weak monobasic acid is 0.08%0.08\% dissociated in 0.020.02M solution. Calculate the dissociation constant of weak acid.

    Tap an option to check your answer.

  10. 60
    Identify the conjugate acid of NH3\mathrm{NH_3} from following.

    Tap an option to check your answer.

  11. 61
    Find the number of moles of electrons required for reduction of 3n3n moles of Zn2+\mathrm{Zn^{2+}} to Zn\mathrm{Zn}

    Tap an option to check your answer.

  12. 62
    Which of the following properties is exhibited by reducing agent?

    Tap an option to check your answer.

  13. 63
    Which of the following elements is used as a moderator in nuclear reactors ?

    Tap an option to check your answer.

  14. 64
    Which of the following compounds does NOT have a stereocenter?

    Tap an option to check your answer.

  15. 65
    Which of the following statements regarding different electronic effects in organic reactions is TRUE ?

    Tap an option to check your answer.

  16. 66
    Identify the product obtained when toluene is brominated in the presence of iron in dark.

    Tap an option to check your answer.

  17. 67
    Identify the product obtained when n-Hexane is heated at 773773 K under 1010 to 2020 atm in presence of V2O5\mathrm{V_2O_5} ?

    Tap an option to check your answer.

  18. 68
    E.coli bacteria from water can be effectively removed by using-

    Tap an option to check your answer.

  19. 69
    Calculate the volume of fcc unit cell having radius of particle 180180 pm.

    Tap an option to check your answer.

  20. 70
    Sodium crystallizes in the bcc structure. If the edge length of a unit cell is 4.3×10−84.3 \times 10^{-8} cm, calculate the radius of an atom.

    Tap an option to check your answer.

  21. 71
    What is the number of unit cells present in tetragonal crystal systems?

    Tap an option to check your answer.

  22. 72
    A 0.10.1 M solution of a solute AA is Isotonic with a solution of BB containing 1.51.5 gm of it per 100100 cm3^3. What is the molar mass of BB?

    Tap an option to check your answer.

  23. 73
    Calculate the boiling point of solution prepared by adding 2.932.93 g of solute to 0.0590.059 kg of solvent, if the boiling point of pure solvent = 61.2∘C61.2^\circ C, Kb=3.85∘CK_b = 3.85^\circ C Kg mol−1^{-1} and molar mass of solute =32= 32 g/mol)

    Tap an option to check your answer.

  24. 74
    Calculate the freezing point of a 0.050.05 m aqueous solution of a non-electrolyte at 298298 K. (Kf=1.86K_f = 1.86 K kg mol−1^{-1})

    Tap an option to check your answer.

  25. 75
    When 44 A current was passed through a salt solution for 4545 minutes, 2.9772.977 g metal was deposited. Calculate the charge on metal ion having molar mass 106.4106.4 g mol−1^{-1}.

    Tap an option to check your answer.

  26. 76
    When same quantity of electricity is passed through two different cells containing copper sulfate and silver nitrate, if 0.990.99 g Ag and 0.290.29 g Cu are deposited, calculate the molar mass of Ag (Molar mass of Cu = 63.263.2 g/mol)

    Tap an option to check your answer.

  27. 77
    Rate constant for first order reaction is 40 s−140\,s^{-1}. Calculate the time required to reduce the concentration to 1/201/20 th of its initial value.

    Tap an option to check your answer.

  28. 78
    Consider the reaction, 2N2O5→4NO2+O2\mathrm{2N_2O_5 \rightarrow 4NO_2 + O_2}. In this reaction, NO2\mathrm{NO_2} is being formed at the rate of 0.0250.025 mol L−1s−1L^{-1}s^{-1}. What would be the rate of reaction?

    Tap an option to check your answer.

  29. 79
    Which of the following is a pseudo-first order reaction?

    Tap an option to check your answer.

  30. 80
    Calculate the time required to reduce the radioactive substance to 20%20\% if the half life period is 1010 minutes.

    Tap an option to check your answer.

  31. 81
    What type of collodial system is milk?

    Tap an option to check your answer.

  32. 82
    Which from following properties is exhibited by cast iron ?

    Tap an option to check your answer.

  33. 83
    Which of the following molecular formulae represents peroxy disulfuric acid?

    Tap an option to check your answer.

  34. 84
    Which of the following statements regarding transition elements is NOT true ?

    Tap an option to check your answer.

  35. 85
    Which of the following compounds does NOT obey EAN rule?

    Tap an option to check your answer.

  36. 86
    Identify the geometry of [Ni(CN)4]2−[\mathrm{Ni(CN)_4}]^{2-} complex.

    Tap an option to check your answer.

  37. 87
    Why are tertiary alkyl halides inert towards SN2SN^2 mechanism?

    Tap an option to check your answer.

  38. 88
    Which of the following reagents, when reacted with aldehydes other than formaldehyde, forms secondary alcohols?

    Tap an option to check your answer.

  39. 89
    Which of the following compounds is obtained when phenol reacts with concentrated nitric acid in the presence of conc. H2SO4\mathrm{H_2SO_4} ?

    Tap an option to check your answer.

  40. 90
    Identify the product formed when aryl-alkyl ether reacts with cold HI.

    Tap an option to check your answer.

  41. 91
    Identify the product obtained when tert-Butyl methyl ether is heated with hot HI.

    Tap an option to check your answer.

  42. 92
    Identify the product obtained when acetonitrile reacts with methyl magnesium chloride in dry ether followed by acid hydrolysis.

    Tap an option to check your answer.

  43. 93
    Which of the following tests is used to identify ketones ?

    Tap an option to check your answer.

  44. 94
    Which of the following conversion is carried out using the Mendius reaction?

    Tap an option to check your answer.

  45. 95
    Identify the type of reaction that Converts acetamide to methanamine by using aqueous KOH and Br2\mathrm{Br_2}.

    Tap an option to check your answer.

  46. 96
    Which of the following is a false statement regarding oligosaccharide ?

    Tap an option to check your answer.

  47. 97
    Which of the following glycosidic linkage is present in lactose ?

    Tap an option to check your answer.

  48. 98
    Match List I with List II
    List I PolymerList II Application
    (A). Glyptal(i). Electrophoresis
    (B). Buna N(ii). LCD screen
    (C). Perspex(iii). Paints
    (D). Polyacrylamide(iv). Adhesive
    Choose the correct answer from the options given below:

    Tap an option to check your answer.

  49. 99
    Identify the polymer obtained from acrylonitrile and 1,3-butadiene.

    Tap an option to check your answer.

  50. 100
    Identify the synthetic antioxidant from following.

    Tap an option to check your answer.

Want the real exam feel? Sit this paper with a 90-minute timer and get your score straight away.

Sit it as a timed mock