PYQ Vault

MHT-CET 2026 (16 April Shift I), 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 wire has mass (0.3±0.003)(0.3 \pm 0.003) gram, radius (0.5±0.005)(0.5 \pm 0.005) cm and length (6±0.06)(6 \pm 0.06) cm. The maximum percentage error in the measurement of density is

    Tap an option to check your answer.

  2. 2
    Let P⃗=i^+j^+k^\vec{P} = \hat{i} + \hat{j} + \hat{k} and Q⃗=−(i^+j^+k^)\vec{Q} = -(\hat{i} + \hat{j} + \hat{k}). The angle between (P⃗−Q⃗)(\vec{P} - \vec{Q}) and P⃗\vec{P} is

    Tap an option to check your answer.

  3. 3
    A ball is released from height 'h' which makes perfectly elastic collision with ground. The frequency of periodic vibratory motion is (g=acceleration due to gravity)

    Tap an option to check your answer.

  4. 4
    Two boys are standing at points A and B on ground where distance AB = a. The boy at point B starts running perpendicular to line AB with velocity 'V1V_1'. The boy at point A starts running simultaneously with velocity 'V' and catches the other boy in time 't'. The value of 't' is

    Tap an option to check your answer.

  5. 5
    A particle is moving with constant angular acceleration 4 rad/s24\ \mathrm{rad/s^2} in circular path. At what time the magnitudes of its tangential acceleration and centripetal acceleration will be equal ?

    Tap an option to check your answer.

  6. 6
    A particle describes a horizontal circle of radius 'r' in conical funnel with smooth inner surface with a speed of 0.50.5 m/s. The height of the plane of the circle from the vertex of the funnel is (acceleration due to gravity, g=10 m/s2g = 10\ \mathrm{m/s^2})

    Tap an option to check your answer.

  7. 7
    A block of mass 'm' moving on a frictionless horizontal surface collides with a spring of spring constant 'K' and compresses it through a distance 'x'. The maximum momentum of the block after collision is

    Tap an option to check your answer.

  8. 8
    A Solid sphere has mass M and radius R. Its moment of inertia about a parallel axis passing through a point at a distance R/3 from its centre is

    Tap an option to check your answer.

  9. 9
    The masses and radii of the earth and moon are M1,R1M_1, R_1 and M2,R2M_2, R_2 and respectively, Their centres are at a distance 'd' apart. The minimum speed with which body of mass 'm' should be projected from a distance 2d/32d/3 from the centre of M1M_1 so as to escape to infinity is

    Tap an option to check your answer.

  10. 10
    A rectangular block of mass 'm' and cross-sectional area 'A' floats on a liquid of density 'ϱ\varrho'. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency (g=acceleration due to gravity)

    Tap an option to check your answer.

  11. 11
    A closed pipe containing liquid showed a pressure P1P_1 by gauge. When the valve was opened, pressure was reduced to P2P_2. The speed of water flowing out of the pipe is (ϱ\varrho=density of water)

    Tap an option to check your answer.

  12. 12
    Water flows through a horizontal pipe at a speed 'V'. Internal diameter of the pipe is 'd'. If the water is emerging at a speed 'V1V_1' then the diameter of the nozzle is

    Tap an option to check your answer.

  13. 13
    A liquid is at rest in a container. In a sphere of influence, the liquid molecule at its centre is

    Tap an option to check your answer.

  14. 14
    Rate of flow of heat through a cylindrical rod is 'H1H_1'. The temperature at the ends of the rod are T1T_1 and T2T_2. If all the dimensions of the rod become double and the temperature difference remains the same and if the rate of flow of heat becomes 'H2H_2' then H2=H_2 =

    Tap an option to check your answer.

  15. 15
    The energy spectrum of a black body exhibits a maximum around a wavelength 'λ\lambda'. The temperature of the black body is now changed such that the energy is maximum around a wavelength 2λ/32\lambda/3. The power radiated by the black body will now increase by a factor

    Tap an option to check your answer.

  16. 16
    A black rectangular surface of area 'A' emits energy 'E' per second at 27∘27^\circC. If length and breadth is reduced to half of its initial value and temperature is raised to 327∘327^\circC then energy emitted per second becomes

    Tap an option to check your answer.

  17. 17
    A monoatomic gas at pressure P having volume V expands isothermally to a volume 3V and then adiabatically to a volume 81 V. The final pressure of the gas is (γ=5/3)(\gamma = 5/3).

    Tap an option to check your answer.

  18. 18
    An ideal gas at 27∘27^\circC is compressed adiabatically to (827)\left(\dfrac{8}{27}\right) of its original volume. If γ=5/3\gamma = 5/3, then the rise in temperature of a gas is

    Tap an option to check your answer.

  19. 19
    The translational kinetic energy of the molecules of a gas at absolute temperature (T) can be doubled by

    Tap an option to check your answer.

  20. 20
    For a particle P performing S.H.M., when displacement is 'x', potential energy and restoring force acting on it is denoted by 'E' and 'F' respectively. The relation between x, E and F is

    Tap an option to check your answer.

  21. 21
    A progressive wave of frequency 50 Hz is travelling with velocity 350 m/s through a medium. The change in phase at given time interval of 0.01s is

    Tap an option to check your answer.

  22. 22
    When a sonometer wire vibrates in the third overtone, the number of antinodes and nodes formed on the wire are respectively

    Tap an option to check your answer.

  23. 23
    When the observer moves towards a stationary source with velocity 'V1V_1', the apparent frequency of the emitted note is 'F1F_1'. When the observer moves away from the source with velocity 'V1V_1', the apparent frequency is 'F2F_2'. If 'V' is the speed of sound in air and F1/F2=2F_1/F_2 = 2, then V/V1=V/V_1 =

    Tap an option to check your answer.

  24. 24
    The equation of wave motion is Y=6sin⁡(12πt−0.02πx+π3)Y = 6\sin\left(12\pi t - 0.02\pi x + \dfrac{\pi}{3}\right) where x is in metre and time in second. The velocity of the wave is

    Tap an option to check your answer.

  25. 25
    The electric field in the region is E⃗=ai^+bj^\vec{E} = a\hat{i} + b\hat{j} where 'a' and 'b' are constants. The net electric flux passing through a square area of side 'l' parallel to Y-Z plane is

    Tap an option to check your answer.

  26. 26
    Two point charges q1=6 μCq_1 = 6\ \mu\mathrm{C} and q2=4 μCq_2 = 4\ \mu\mathrm{C} are kept at points A and B in air where distance AB=10AB = 10 cm. What is the increase in potential energy of the system when q2q_2 is moved towards q1q_1, by 2 cm ? (14πϵ0=9×109 SI units)\left(\dfrac{1}{4\pi\epsilon_0} = 9 \times 10^9\ \text{SI units}\right)

    Tap an option to check your answer.

  27. 27
    The electric field between the plates of a parallel plate capacitor is 'E'. If the charge on the plates is Q then the force on each plate is

    Tap an option to check your answer.

  28. 28
    Two condensers of capacities, '2C' and 'C' are joined in parallel and charged upto potential 'V'. The battery is then disconnected and condenser of capacity 'C' is filled completely with a medium of dielectric constant 'K'. The potential difference across the capacitors in the second case is

    Tap an option to check your answer.

  29. 29
    A potentiometer wire is 4m long and potential difference of 3V is maintained between the ends. The e.m.f. of the cell which balances against a length of 100 cm of the potentiometer wire is

    Tap an option to check your answer.

  30. 30
    A metre bridge experiment, the resistance in the left gap is 20 Ω20\,\Omega and in the right gap is 60 Ω60\,\Omega. The bridge is balanced. The distance of the null point from the centre of the wire is

    Tap an option to check your answer.

  31. 31
    The magnetic moment produced in a sample of 2 gram is 8×10−7 A/m28 \times 10^{-7}\ \mathrm{A/m^2}. If its density is 4 g/cm3\mathrm{g/cm^3} then the magnetization of the sample is

    Tap an option to check your answer.

  32. 32
    A wire carrying current 'I' along x axis has length 'L' and it is kept in a magnetic field B(i^+2j^−2k^)B(\hat{i} + 2\hat{j} - 2\hat{k}) T. The magnitude of magnetic force acting on the wire is

    Tap an option to check your answer.

  33. 33
    A charged particle is moving in a uniform magnetic field in a circular path of radius 'R'. When the energy of the particle becomes 3 times the original, the new radius will be

    Tap an option to check your answer.

  34. 34
    Torque acting on a coil carrying current 'I' situated parallel to magnetic field of induction 'B' having of turns 'n' and area 'A' is

    Tap an option to check your answer.

  35. 35
    A metal rod of length 'L' completes the circuit as shown. The area of the circuit is perpendicular to magnetic field 'B'. Total resistance of the circuit is 'R'. The force needed to move the rod in the direction as shown with constant speed 'V' is

    Tap an option to check your answer.

  36. 36
    When a capacitor is connected in series LR circuit, the alternating current flowing in the circuit

    Tap an option to check your answer.

  37. 37
    With gradual increase in frequency of an a.c. supply, the impedance of an LCR series circuit

    Tap an option to check your answer.

  38. 38
    An alternating e.m.f. is given by e=e0sin⁡ωte = e_0\sin\omega t. In what time the e.m.f. will have half its maximum value, if 'e' Starts from zero?

    Tap an option to check your answer.

  39. 39
    A step down transformer has turns ratio 20:1. If 8V are applied across 0.4 Ω0.4\,\Omega secondary then the primary current will be

    Tap an option to check your answer.

  40. 40
    A simple microscope is used to see the object first in blue light and then in red light. Due to the change from blue to red light, what is the effect on its magnifying power?

    Tap an option to check your answer.

  41. 41
    In Young's double slit experiment, the fringe width is 0.4 mm. What is the distance between 4th4^{th} dark band and 6th6^{th} bright band on the same side of the interference pattern?

    Tap an option to check your answer.

  42. 42
    The ratio of intensities at two points on the screen in Young's double slit experiment when waves from the two slits have a path difference of zero and λ/4\lambda/4 is (λ\lambda is the wavelength of light used) (cos⁡0∘=1,cos⁡π/2=0)(\cos 0^\circ = 1, \cos\pi/2 = 0)

    Tap an option to check your answer.

  43. 43
    In Young's double slit experiment, the distance between the slits is 3 mm and the slits are 2m away from the screen. Two interference patterns can be obtained on the screen due to light of wavelength 480 nm and 600 nm respectively. The separation on the screen between the 5th5^{th} order bright fringes on two interference patterns is

    Tap an option to check your answer.

  44. 44
    For a photosensitive material, work function is 'W0W_0' and stopping potential is 'V'. The wavelength of the incident radiation is (h=Planck's constant, c = velocity of light, e = electronic charge)

    Tap an option to check your answer.

  45. 45
    Using Einstein's photoelectric equation, the graphical representation between the kinetic energy (E) of emitted Photoelectrons and the frequency of incident radiation (ν\nu) is show correctly in figure

    Tap an option to check your answer.

  46. 46
    The force acting on the electron in hydrogen atom (Bohr's theory) is related to the principal quantum number n as

    Tap an option to check your answer.

  47. 47
    Using Bohr's atomic model, the orbital period of electron in hydrogen atom in the nthn^{th} orbit is (ϵ0\epsilon_0=permittivity of free space, h=Planck's constant, m = mass of electron, e = electronic charge)

    Tap an option to check your answer.

  48. 48
    In a transistor amplifier, a change of 0.2 mA in the base current causes a change of 5 mA in the collector current. If input resistance is 2 kΩ2\ \mathrm{k\Omega} and voltage gain is 75, the load resistance used in the circuit is

    Tap an option to check your answer.

  49. 49
    The resultant gate and its Boolean expression in the given circuit is

    Tap an option to check your answer.

  50. 50
    When a small amount of impurity atoms are added to a semiconductor then generally its resistivity

    Tap an option to check your answer.

Chemistry

50 questions

  1. 51
    Calculate the amount of aluminium present in Al2(SO4)3\mathrm{Al_2(SO_4)_3} if the compound contains 4 g of sulfur. [Molar mass of sulfur = 32 g/mol , Molar mass of Al =27 g/mol ]

    Tap an option to check your answer.

  2. 52
    What is the observed electronic configuration of Cu ?

    Tap an option to check your answer.

  3. 53
    What is the energy of an electron in a hydrogen atom in a stationary state corresponding to n = 2 ?

    Tap an option to check your answer.

  4. 54
    Identify increasing order of acidity for following diprotic acids in aqueous solutions.

    Tap an option to check your answer.

  5. 55
    Which of the following molecules is paramagnetic?

    Tap an option to check your answer.

  6. 56
    Which of the following statements is true about ideal gas ?

    Tap an option to check your answer.

  7. 57
    What is the change in entropy of surrounding for the reaction, H2(g)+1/2 O2(g)→H2O(l)\mathrm{H_{2(g)} + 1/2\,O_{2(g)} \rightarrow H_2O_{(l)}} at 298 K if standard enthalpy of formation of water is −286-286 kJ ?

    Tap an option to check your answer.

  8. 58
    In a particular reaction, 4 kJ heat is released by the system and 12 kJ work done on the system. Calculate the ΔH\Delta H and ΔU\Delta U.

    Tap an option to check your answer.

  9. 59
    Which of the following relations is correct for a reaction S(s)+O2(g)→SO2(g)\mathrm{S_{(s)} + O_{2(g)} \rightarrow SO_{2(g)}} ?

    Tap an option to check your answer.

  10. 60
    The solubility product of a sparingly soluble salt BA is 6.4×10−136.4 \times 10^{-13}. Calculate it's solubility in g dm−3\mathrm{dm^{-3}}. Molar mass of salt is 190 g mol−1\mathrm{mol^{-1}} .

    Tap an option to check your answer.

  11. 61
    The solubility of AgCl in 0.1 M NaCl is S mol/L. If the solubility product of AgCl is 1.8×10−101.8 \times 10^{-10}, then S is approximately:

    Tap an option to check your answer.

  12. 62
    Identify from following a weak electrolyte based on their dissociation nature in aqueous medium.

    Tap an option to check your answer.

  13. 63
    What is the oxidation number of oxygen in KO2\mathrm{KO_2} ?

    Tap an option to check your answer.

  14. 64
    The most abundant element in the universe is

    Tap an option to check your answer.

  15. 65
    Which of the following compounds is formed when chlorine reacts with dry slake lime Ca(OH)2\mathrm{Ca(OH)_2} ?

    Tap an option to check your answer.

  16. 66
    Which of the following is an aromatic alcohol?

    Tap an option to check your answer.

  17. 67
    What type of following reactions, the oxidative rancidity is?

    Tap an option to check your answer.

  18. 68
    Find the number of hyperconjugation structures in the isopropyl carbocation.

    Tap an option to check your answer.

  19. 69
    Which from following alkenes is highly stabilized ?

    Tap an option to check your answer.

  20. 70
    Which of the following alkanes is NOT obtained when a mixture of ethyl iodide and n-propyl iodide is subjected to Wurtz reaction?

    Tap an option to check your answer.

  21. 71
    A compound forms hcp structure. What is the number of tetrahedral voids formed in 0.8 mol of it.

    Tap an option to check your answer.

  22. 72
    Calculate the number of atoms present in 90 g of metal if it forms bcc structure. [ρ×a3=1.8×10−22[\rho \times a^3 = 1.8 \times 10^{-22} g ]

    Tap an option to check your answer.

  23. 73
    In the fcc structure, the number of tetrahedral holes per sphere is

    Tap an option to check your answer.

  24. 74
    For a binary solution, when a nonvolatile nonelectrolyte solute is dissolved in solvent, the vapour pressure of solvent decreases by 20 % . what is mole fraction of solvent in solution ?

    Tap an option to check your answer.

  25. 75
    Calculate the boiling point of an aqueous solution containing 18 g glucose in 100 g water if the molal elevation constant of water is 0.5 K kg mol−1\mathrm{mol^{-1}}. [Molar mass of glucose =180= 180 g mol−1\mathrm{mol^{-1}} and boiling point of water =100 ∘C= 100\ ^\circ\mathrm{C}]

    Tap an option to check your answer.

  26. 76
    Which of the following is the colligative property of a solution?

    Tap an option to check your answer.

  27. 77
    Identify the reaction from following so that the standard potential of Cu+2/Cu\mathrm{Cu^{+2}/Cu} electrode is 0.34 V. with respective to SHE ?

    Tap an option to check your answer.

  28. 78
    The cells A and B contain aqueous solutions of ferrous chloride and ferric chloride respectively. The mass of iron deposited by the same quantity of electricity in cells A and B is in the ratio.

    Tap an option to check your answer.

  29. 79
    What happens during the discharge of a lead storage battery?

    Tap an option to check your answer.

  30. 80
    The rate constant of reaction is 1.5×107 s−11.5 \times 10^7\ \mathrm{s^{-1}} at 300 K and 3.0×107 s−13.0 \times 10^7\ \mathrm{s^{-1}} at 330 K. What is the activation energy for the reaction? [ R×2.303=19.15 JK−1mol−1R \times 2.303 = 19.15\ \mathrm{JK^{-1}mol^{-1}}]

    Tap an option to check your answer.

  31. 81
    The rate constant for the reaction 2N2O5→4NO2+O2\mathrm{2N_2O_5 \rightarrow 4NO_2 + O_2} is 3.0×10−5 s−13.0 \times 10^{-5}\ \mathrm{s^{-1}}. If the rate is 2.4×10−52.4 \times 10^{-5} mole L−1 s−1\mathrm{L^{-1}\,s^{-1}} then the concentration of N2O5\mathrm{N_2O_5} (mol L−1\mathrm{L^{-1}}) is

    Tap an option to check your answer.

  32. 82
    What is order of radioactive decay of a substance ?

    Tap an option to check your answer.

  33. 83
    Nano materials not applied in

    Tap an option to check your answer.

  34. 84
    Which of the following properties is responsible for the development of colour to the colloids?

    Tap an option to check your answer.

  35. 85
    Identify the factor responsible for colour of transition metal compounds.

    Tap an option to check your answer.

  36. 86
    Identify the number of unpaired electrons present and geometry respectively of [Co(NH3)6]3+[\mathrm{Co(NH_3)_6}]^{3+} complex.

    Tap an option to check your answer.

  37. 87
    Identify oxidation state of cobalt ion in the complex, [Co(NH3)5Br]SO4[\mathrm{Co(NH_3)_5Br}]\mathrm{SO_4} .

    Tap an option to check your answer.

  38. 88
    Which of the following alkyl halides is hydrolyzed most rapidly by the SN2\mathrm{SN^2} mechanism ?

    Tap an option to check your answer.

  39. 89
    Which of the following alkyl halides undergoes SN1\mathrm{SN^1} reaction most readily?

    Tap an option to check your answer.

  40. 90
    What is the nature of alcohols in aqueous medium?

    Tap an option to check your answer.

  41. 91
    Which of following observations is found in Tollens test for aldehydes?

    Tap an option to check your answer.

  42. 92
    An organic compound CH3-CH=CH-CH2-CHO\mathrm{CH_3\text{-}CH{=}CH\text{-}CH_2\text{-}CHO} is taken in two different containers A and B. Sample in A is treated with H2\mathrm{H_2} / Ni forming new compound P. Sample in B is treated with LiAlH4\mathrm{LiAlH_4} and hydrolyzed further forming new compound Q. Identify P and Q.

    Tap an option to check your answer.

  43. 93
    What is the common name for the simplest carboxylic acid, HCOOH ?

    Tap an option to check your answer.

  44. 94
    Which of the following reactions uses diazonium salt ?

    Tap an option to check your answer.

  45. 95
    Which of the following statements is NOT correct?

    Tap an option to check your answer.

  46. 96
    Identify the linkage in backbone of single strand of DNA ?

    Tap an option to check your answer.

  47. 97
    Which of the following ionic species is present in hemoglobin and responsible for transformation of oxygen ?

    Tap an option to check your answer.

  48. 98
    Which of the following processes develops cross-links in elastomer?

    Tap an option to check your answer.

  49. 99
    Which of the following is not a basis of classification of polymers ?

    Tap an option to check your answer.

  50. 100
    Which of the following detergents is used as germicide?

    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