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MHT-CET 2026 (19 May Shift I), 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
    In a vector p⃗\vec{p}, 'x' and 'y' components have magnitudes 2 units and 5 units respectively. A vector q⃗\vec{q}, along negative Y axis has magnitude of 3 units. Then p⃗⋅q⃗\vec{p} \cdot \vec{q} is

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  2. 2
    In a certain system, the quantities A and B are measured as 8±0.088 \pm 0.08 and 6±0.066 \pm 0.06 respectively. Let x=AB,y=A+Bx = AB, y = A + B and z=A−Bz = A - B. The correct order of % error in xx, yy and zz is

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  3. 3
    A juggler throws balls into air. He throws one ball whenever the previous one is at its highest point. If he throws 4 balls in one second, the height from which each ball returns is nearly [acceleration due to gravity is 9.8 m/s29.8\ \mathrm{m/s^2}]

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  4. 4
    A particle moves along a circular path of radius 'rr' with uniform speed 'vv'. The angle described by the particle in two seconds in radians is

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  5. 5
    On a dry curved (banked) road, with banking angle of zero, the maximum safe speed for a moving vehicle is 'vv'. After heavy rain, the maximum safe speed for the same road was reduced by 60%. The ratio of the coefficient of friction for the dry road to that of the wet road is

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  6. 6
    The bob of a simple pendulum of length 2m is kept at P. It is released and when it reaches Q, it losses 20% of its total energy due to air resistance. Its velocity at Q is [Take g=9.8 m/s2g = 9.8\ \mathrm{m/s^2}]

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  7. 7
    A 66 kg mass and 1.51.5 kg mass are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

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  8. 8
    A cricket ball of mass 120120 g is moving with a velocity of 88 m/s and is hit by a bat so that the ball gets turned back with a velocity of 1212 m/s. If the duration of contact between the ball and bat is 0.020.02 s, the impulse (in Ns\mathrm{Ns}) given to the ball by the bat is

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  9. 9
    A body of mass 'm' is raised to a height '10R10R' from the surface of the earth, where 'R' is the radius of the earth. Suppose it is released now. The speed with which it will strike the surface of the earth is nearly [gg = acceleration due to gravity]

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  10. 10
    A metal wire of length 'LL' and density 'dd' rests horizontally on the free surface of water. The maximum radius of the wire so that the wire does not sink in water is [TT = surface tension of water, gg = gravitational acceleration]

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  11. 11
    'nn' identical small drops of water are falling down vertically through a medium each with a terminal velocity 'vv'. If they combine to form a single drop, then its terminal velocity is xvxv. The value of xx is

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  12. 12
    Under isothermal conditions, a single drop of radius RR is formed from two mercury drops of radii R1R_1 and R2R_2. After combination, the relation between RR, R1R_1 and R2R_2 is

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  13. 13
    A perfectly black body radiates power at temperature T1T_1K. If it is to radiate 16 times this power, its temperature should be increased by

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  14. 14
    The length of mercury column in a mercury-in-glass thermometer is H1H_1 mm at the ice point and H2H_2 mm at the steam point. When the length is HH mm, the temperature TT is given in ∘^\circC by (H1<H2)(H_1 < H_2)

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  15. 15
    There is an expansion of a gas in a thermodynamic system. But this change cannot be plotted on a P-V diagram. Then it is

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  16. 16
    When the temperature of 4 moles of a gas was increased from 70∘C70^\circ\mathrm{C} to 90∘C90^\circ\mathrm{C}, at constant volume, the change in internal energy was 6060 J. The total heat capacity of the gas at constant volume is

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  17. 17
    The molar specific heat at constant pressure of an ideal gas is 72R\dfrac{7}{2}R. The gas is made up of molecules which are

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  18. 18
    If 'mm' represents the mass of each molecule of a gas and 'TT' its absolute temperature respectively, then the root mean square velocity of the gaseous molecule is proportional to

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  19. 19
    Two simple harmonic motions are represented as y1=10sin⁡ωty_1 = 10\sin\omega t and y2=5sin⁡ωt+5cos⁡ωty_2 = 5\sin\omega t + 5\cos\omega t, both in cm. The ratio of the amplitudes of y2y_2 (A2)(A_2) to that of y1y_1 (A1)(A_1), is

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  20. 20
    The differential equation of a particle performing S.H.M. is d2xdt2+64x=0\dfrac{d^2x}{dt^2} + 64x = 0, where xx is in meter. The period of oscillation of the particle is (in second)

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  21. 21
    A stretched string of length 'LL' is fixed at both the ends, has 'nn' nodes (n>2)(n > 2). The length of the string in terms of nn and wavelength λ\lambda is

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  22. 22
    Two simple harmonic sound waves travelling in the same direction are given by y1(x,t)=Asin⁡(0.5πx−100πt)y_1(x, t) = A\sin(0.5\pi x - 100\pi t) and y2(x,t)=Asin⁡(0.46πx−92πt)y_2(x, t) = A\sin(0.46\pi x - 92\pi t) The number of times, a stationary listener can hear sound of maximum intensity in one second is

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  23. 23
    For a stationary wave, y=10cos⁡(πx/15)sin⁡(48πt)y = 10\cos(\pi x/15)\sin(48\pi t) cm, the distance between a node and the successive antinode is

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  24. 24
    The amplitude of a sound wave at a distance rr from a point source is AA. The amplitude at a distance 2r2r from the point source is

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  25. 25
    A semicircular arc of radius 'RR' is charged uniformly and has charge per unit length as λ\lambda. The electric potential VV at the centre of curvature is [ε0\varepsilon_0 = permittivity of vacuum]

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  26. 26
    Two charged particles each having a charge '+q+q' and mass 'm' are kept at a distance 'd'. If they are in equilibrium under the gravitational force and the electric force between them, then the ratio qm\dfrac{q}{m} (specific charge) of each particle is (GG- Universal gravitation constant, ε0\varepsilon_0 = permittivity of free space)

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  27. 27
    Two parallel plate air capacitors of same capacity 'CC' are connected in series to a battery of emf 'EE'. Then one of the capacitors is completely filled with dielectric material of constant 'KK'. The change in the effective capacity of the series combination is

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  28. 28
    Consider the earth to be a sphere, having charge QQ. Let RR, VV and AA be its radius, volume and area respectively. The capacitance of the earth is [ε0\varepsilon_0 = permittivity of free space]

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  29. 29
    In the following circuit, the current in the 4Ω4\Omega resistance is 1.21.2 A. The total current (I)(I) flowing in the circuit is

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  30. 30
    The potential gradient along the length of 1 metre wire of uniform cross section is 66 V/m. Let 'BB' and 'CC' be the two points at 4040 cm and 6060 cm marks respectively from one end. The potential difference between points B and C is

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  31. 31
    A magnetic dipole lying parallel to a magnetic field requires 'WW' units of work to turn it through 30∘30^\circ. The torque required to keep this needle in this position is [sin⁡30∘=cos⁡60∘=0.5,sin⁡60∘=cos⁡30∘=32,sin⁡0∘=cos⁡90∘=1]\left[\sin 30^\circ = \cos 60^\circ = 0.5, \sin 60^\circ = \cos 30^\circ = \dfrac{\sqrt{3}}{2}, \sin 0^\circ = \cos 90^\circ = 1\right]

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  32. 32
    Two particles X and Y of masses 'm1m_1' and 'm2m_2' respectively, having equal charges after being accelerated through the same potential difference enter a region of uniform magnetic field and describe circular paths of radii 'r1r_1' and 'r2r_2' respectively. The ratio of 'r1r_1' and 'r2r_2' is

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  33. 33
    A rectangular coil of effective area 0.04 m20.04\ \mathrm{m^2} is suspended freely in a radial magnetic field of 0.02 Wb/m20.02\ \mathrm{Wb/m^2}. The torsional constant of the suspension fibre is 5×10−9 Nm/degree5 \times 10^{-9}\ \mathrm{Nm/degree}. If a current of 250 μA250\ \mu\mathrm{A} is passed through it, then the angle through which it rotates is

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  34. 34
    The magnetic flux through a coil of resistance 'RR' changes by an amount Δϕ\Delta\phi in the time Δt\Delta t. The total quantity of induced current and charge is respectively

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  35. 35
    Whenever a magnet is moved either towards or away from a conducting coil, magnetic flux linked with the coil changes. This change is dependent on (a) the strength of the magnetic field. (b) the area of cross-section of the coil. (c) the resistance of the coil. (d) the number of turns in the coil.

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  36. 36
    In a discharging series L-C-R circuit, C=2 μFC = 2\ \mu\mathrm{F}, L=1 mHL = 1\ \mathrm{mH} and R=10 ΩR = 10\ \Omega. The ratio of the energies stored in the inductor and in the capacitor, when the maximum current flows in the circuit, is

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  37. 37
    An inductor of inductance LL and a resistor of resistance RR are joined in series and connected to an a.c. source of frequency ω\omega. The power dissipated in the circuit is

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  38. 38
    An alternating voltage is given by V=V0sin⁡(ωt+π4)V = V_0\sin\left(\omega t + \dfrac{\pi}{4}\right). The time when the voltage is maximum for the first time is (TT = periodic time of the alternating voltage, cos⁡0∘=sin⁡90∘=1\cos 0^\circ = \sin 90^\circ = 1)

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  39. 39
    A transformer having an efficiency 80% is working on 200200 V and 44 kW power supply. If the current in the secondary coil is 55 A, the voltage across the secondary coil and the current in the primary coil, respectively, are

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  40. 40
    A ray of light takes time 'tt' to travel a distance 'dd' in air and it travels a distance '4d4d', in time 'TT' in a certain medium. If T=8tT = 8t, the critical angle for the pair of media is [sin⁡(π6)=0.5,sin⁡(π4)=12,sin⁡(π3)=32,sin⁡(π2)=1]\left[\sin\left(\dfrac{\pi}{6}\right) = 0.5, \sin\left(\dfrac{\pi}{4}\right) = \dfrac{1}{\sqrt{2}}, \sin\left(\dfrac{\pi}{3}\right) = \dfrac{\sqrt{3}}{2}, \sin\left(\dfrac{\pi}{2}\right) = 1\right]

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  41. 41
    The radii of curvature of both the surfaces of a convex lens are equal. One of the surfaces is made plane by grinding. The new focal length and power of the lens, respectively, are

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  42. 42
    In a biprism experiment, using a light of wavelength 4800 A˚4800\ \mathrm{\mathring{A}}, a steady interference pattern was obtained on a screen 11 m away from the source. Now the source is replaced by another of wavelength 6400 A˚6400\ \mathrm{\mathring{A}} and the screen is moved away from it by 2020 cm. The fringewidth will

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  43. 43
    In the diffraction pattern due to a single slit of width 'aa' with incident light of wavelength 'λ\lambda', at an angle of diffraction 'θ\theta', the condition for the second maximum is

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  44. 44
    In an experiment on photoelectric effect, the stopping potential V0V_0 is plotted against the frequency ν\nu of the incident light. Considering ee as the electronic charge, the work function of the photoelectric surface is given by

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  45. 45
    The moment of inertia of the electron moving in the second Bohr orbit of a hydrogen atom is [mm = mass of electron, hh = Planck's constant, ee = charge on electron, ε0\varepsilon_0 = permittivity of free space]

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  46. 46
    The de Broglie wavelength of an electron moving in the nthn^{th} Bohr orbit of radius 'rr' is

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  47. 47
    Initially 8×10108 \times 10^{10} atoms are present in a radioactive sample. The half-life of the sample is 1 hour. The number of atoms that will decay in the time interval t=2t = 2 hour to t=5t = 5 hour, is

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  48. 48
    In the following circuit, the current through the Zener diode is

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  49. 49
    If two inputs of a NOR gate are shorted, the resulting gate is

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  50. 50
    The band diagrams of three semiconductors p, n and intrinsic are given in the figures (1), (2) and (3). C and V are the conduction and valence bands and EFE_F is the Fermi level. Figures, from (2),(1) and (3) respectively represent the type of semiconductors as

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Chemistry

50 questions

  1. 51
    Calculate the volume occupied by 6464 g dioxygen at STP.

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  2. 52
    What is the frequency of violet light if its wavelength is 400400 nm?

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  3. 53
    Identify the compound having lowest boiling point.

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  4. 54
    What types of intermolecular forces are present in N2\mathrm{N_2} molecules?

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  5. 55
    Which of the following is the correct order of lattice energy?

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  6. 56
    2 moles of an ideal gas expand isothermally and reversibly from 1010 L to 5050 L at 298298 K. Calculate the work done during this expansion. (R=8.314 JK−1 mol−1)(R = 8.314\ \mathrm{JK^{-1}\ mol^{-1}})

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  7. 57
    A gas expands by 2500 cm32500\ \mathrm{cm^3} against constant external pressure 1.51.5 atm at constant temperature of 300300 K. Calculate the work of expansion in kJ.

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  8. 58
    Which of the following is NOT the state function?

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  9. 59
    If pKbpK_b value for fluoride ion at 25∘C25^\circ\mathrm{C} is 10.8310.83, calculate the ionisation constant of hydrofluoric acid in water at this temperature.

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  10. 60
    Phosphoric acid dissociates upto 80% in its 0.020.02 M solution at 25∘C25^\circ\mathrm{C}. Calculate the pH of the solution.

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  11. 61
    Which of the following salts does not undergo hydrolysis?

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  12. 62
    Which of the following compounds has the lowest oxidation state of carbon?

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  13. 63
    Identify unstable isotope of hydrogen from the following.

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  14. 64
    What is IUPAC name of catechol?

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  15. 65
    Identify the name of the isomerism in rapid equilibrium with each other in the following reaction.

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  16. 66
    Which of the following compounds is obtained in the first step of Wolf - Kishner reduction when alkyl aryl ketones are reduced to alkyl benzene?

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  17. 67
    Identify the reagent used in Etard reaction.

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  18. 68
    Which reaction is used to synthesize straight-chain alkylbenzenes?

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  19. 69
    Identify the the major product of bromination of anisole in presence of acetic acid.

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  20. 70
    Which of the following reagents is used to convert benzene into glyoxal?

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  21. 71
    Which of the following processes is according to principles of green chemistry?

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  22. 72
    Which of the following statements is correct regarding Frenkel defects?

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  23. 73
    Calculate the radius of a particle present in fcc unit cell having edge length 200200 pm.

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  24. 74
    Which of the following metals has simple cubic structure?

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  25. 75
    A solution containing 0.60.6 g nonelectrolyte solute in 3030 g water freezes at −0.6 ∘C-0.6\ ^\circ\mathrm{C}. Calculate the molar mass of solute if cryoscopic constant of water is 1.8 K kg mol−11.8\ \mathrm{K\ kg\ mol^{-1}}.

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  26. 76
    Calculate the osmotic pressure of a solution containing 3.423.42 g of fructose (molar mass = 180180 g/mol) in 1 litre of water at 400400 K.

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  27. 77
    Identify from following equimolar solutions that has maximum boiling point elevation. (Assuming complete dissociation)

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  28. 78
    A battery delivers a steady current of 3.003.00 ampere for 10.010.0 hours. Calculate the number of moles of electrons passed.

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  29. 79
    The molar conductivity of 0.010.01M acetic acid at 25∘C25^\circ\mathrm{C} is 16 S m2 mol−116\ \mathrm{S\ m^2\ mol^{-1}}. Find its percent dissociation in the 0.010.01M solution if molar conductivity of acetic acid at zero concentration is 390 S m2 mol−1390\ \mathrm{S\ m^2\ mol^{-1}}.

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  30. 80
    What is the common unit of molar conductivity?

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  31. 81
    Identify the nature of the graph obtained when rate versus initial concentration is plotted for first order reaction.

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  32. 82
    Calculate the activation energy when the rate of chemical reaction doubles with an increase of 1010 K in absolute temperature from 298298 K. (R×2.303=19.15 J K−1 mol−1)(R \times 2.303 = 19.15\ \mathrm{J\ K^{-1}\ mol^{-1}}).

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  33. 83
    The rate law for a reaction is Rate =k[A]2[B]0= k[A]^2[B]^0. The overall order is

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  34. 84
    Identify a positively charged sol from the following.

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  35. 85
    Which of following reactions occur at zone of reduction in blast furnace for extraction of iron?

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  36. 86
    Which of the following factors is responsible for the anomalous behavior of oxygen? (A). small atomic size. (B). higher electronegativity. (C). low O - O bond dissociation energy. (D). absence of d - orbital (E). presence of vaccant d - orbitals. Choose the correct answer from the options given below:

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  37. 87
    Find the number of allotropic forms of Tellurium under normal conditions.

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  38. 88
    Identify the position of lanthanum in terms of the following blocks in the modern periodic table?

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  39. 89
    What is the effective atomic number of Cu in [Cu(NH3)4]2+\mathrm{[Cu(NH_3)_4]^{2+}}?

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  40. 90
    What type of isomerism is exhibited by the following coordinate complexes? [CO(NH3)6][Cr(CN)6]\mathrm{[CO(NH_3)_6][Cr(CN)_6]} and [Cr(NH3)6][CO(CN)6]\mathrm{[Cr(NH_3)_6][CO(CN)_6]}

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  41. 91
    Identify the products formed when benzenediazonium chloride reacts with CuCl / HCl C6H5N2+Cl−+CuCl→\mathrm{C_6H_5N_2^+Cl^- + CuCl \rightarrow}

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  42. 92
    When R-X is treated with KCN (alcoholic, heat), find the type of attack found, when the major product is formed in this reaction?

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  43. 93
    CH3-CH2-Cl+NaI→acetoneCH3-CH2-I+NaCl↓\mathrm{CH_3\text{-}CH_2\text{-}Cl + NaI \xrightarrow{acetone} CH_3\text{-}CH_2\text{-}I + NaCl\downarrow} The above reaction is known as:

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  44. 94
    Identify the product of reaction between alcoholic silver nitrite and ethyl bromide.

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  45. 95
    Which of the following amines exhibits the Carbylamine test?

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  46. 96
    What is the number of chiral carbon atoms in the open chain structure of glucose and fructose respectively?

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  47. 97
    Which of the following is NOT a disaccharide ?

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  48. 98
    Which of the following statements is true regarding fats?

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  49. 99
    Identify a monomer of natural rubber.

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  50. 100
    Identify a polymer containing nitrogen.

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