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MHT-CET 2026 (15 April 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
    The length of rod is measured by meter scale having least count 0.10.1 cm and diameter is measured by vernier callipers having least count 0.010.01 cm. Length of rod is 5.05.0 cm and radius 2.02.0 cm. The percentage error in the calculated value of the volume is

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  2. 2
    A vector A⃗\vec{A} when added to the sum of the vectors (i^−2j^+2k^)(\hat{i} - 2\hat{j} + 2\hat{k}) and (−2i^+j^−k^)(-2\hat{i} + \hat{j} - \hat{k}) gives a unit vector along Y axis. The magnitude of vector A⃗\vec{A} is

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  3. 3
    A stone falls from the top of a tower of height 100100 m and at the same time another stone is projected vertically upwards from the ground with a velocity 2525 m/s. The two stones meet after

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  4. 4
    A particle performing U.C.M. of radius π2\dfrac{\pi}{2} m makes 'x' revolutions in time t. Its tangential velocity is

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  5. 5
    Two masses m1m_1 and m2m_2 moving with velocities V1V_1 and V2V_2 in opposite directions collide elastically and after collision m1m_1 and m2m_2 move with velocities V2V_2 and V1V_1 respectively. The ratio m2m1\dfrac{m_2}{m_1} is

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  6. 6
    The power (P) is supplied to rotating body having moment of inertia 'I' and angular acceleration 'α\alpha'. Its instantaneous angular velocity is

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  7. 7
    If the earth suddenly contracts to (13)rd\left(\dfrac{1}{3}\right)^{rd} of its present size without change in its mass, the ratio kinetic energy of the earth after and before contraction will be (Earth is assumed to be a rotating sphere about itself)

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  8. 8
    What should be the angular velocity of earth due to rotation about its own axis so that the weight at equator becomes (35)th\left(\dfrac{3}{5}\right)^{th} of initial value? (g=g = acceleration due to gravity, R = radius of earth)

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  9. 9
    Water rises to a height 33 cm in a capillary tube. If cross-sectional area of capillary tube is reduced to 1/3rd1/3^{rd} of its initial area then water will rise to a height of

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  10. 10
    A soap bubble of radius R is blown. After heating the solution, a second bubble of radius 2R is blown. The work required to blow the second bubble in comparison to that required for the first bubble is

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  11. 11
    The excess pressure inside the first soap bubble of radius R1R_1 is three times that inside the second soap bubble of radius R2R_2. The ratio of volumes of the first bubble to second bubble is

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  12. 12
    An ordinary body cools from 4θ4\theta to 3θ3\theta in 't' minutes. The temperature of the body after next 't' minutes is (Assume Newton's law of cooling and room temperature as θ\theta)

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  13. 13
    A black disc has a radius 'R' and wavelength corresponding to the maximum intensity is 'λ\lambda'. The emissive power (E) for the different radii and maximum wavelengths is directly proportional to

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  14. 14
    About black body radiation, which one of the following is a WRONG statement?

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  15. 15
    In thermodynamic isobaric process

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  16. 16
    A monoatomic gas is stored in a thermally insulated container and the gas is suddenly compressed to (18)th\left(\dfrac{1}{8}\right)^{th} of its initial volume. The ratio of final pressure to initial pressure is

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  17. 17
    The average force applied on the walls of a closed container depends on temperature (T) as (T is the temperature of an ideal gas)

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  18. 18
    A particle executes linear S.H.M. with amplitude 44 cm. The magnitude of velocity and acceleration is equal when it is at 33 cm from mean position. Time period is

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  19. 19
    A particle starts from mean position and performs S.H.M. with period 66 second. At what time its kinetic energy is 50%50\% of total energy? (cos⁡45∘=1/2)(\cos 45^\circ = 1/\sqrt{2})

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  20. 20
    A small sphere oscillates simple harmonically in a watch glass whose radius of curvature is 1.61.6 m. The period of Oscillation of the sphere is (Acceleration due to gravity g=10 m/s2g = 10\ \mathrm{m/s^2})

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  21. 21
    A wire is under tension of 22 kg wt and a wave is travelling through it with some speed. Tension in the wire is so increased that the wave travels through it with thrice the original speed. The increase in tension is (in kg wt)

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  22. 22
    A Pipe open at one end has length 0.80.8 m. At the open end of the tube a string 0.50.5 m long is vibrating in its first overtone and resonates with fundamental frequency of pipe. If tension in the string is 5050 N, the mass of string is (Neglect end correction) (Speed of sound =320= 320 m/s)

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  23. 23
    A sonometer wire resonates with 44 antinodes between the two bridges for a given tuning fork when 11 kg mass is suspended from the wire. Using same fork, when mass M is suspended, the wire resonates producing 22 antinodes between the two bridges. (Distance between the bridges as before) The value of M is

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  24. 24
    The fundamental frequency of sonometer wire is 5050 Hz for some length and tension. If the length is increased by 25%25\% by keeping the tension same, then the frequency change of second harmonic is

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  25. 25
    The number of lines of force originating from a point charge of 2×8.85×10−92 \times 8.85 \times 10^{-9} C in a medium of dielectric constant 1010 is (ϵ0=8.85×10−12(\epsilon_0 = 8.85 \times 10^{-12} SI unit)

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  26. 26
    The potential difference that must be applied across the parallel and series combination of three identical capacitors such that the energy stored in them becomes the same. The ratio of potential difference in parallel to series combination is

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  27. 27
    The function of a dielectric in a capacitor is to

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  28. 28
    Four capacitors are connected to a battery as shown in figure. The ratio of charges on capacitors C2C_2 and C4C_4 is

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  29. 29
    When a resistance of 200 Ω200\,\Omega is connected in series with a galvanometer of resistance G, its range is V. To triple its range, a resistance of 2000 Ω2000\,\Omega is connected in series. The value of G is

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  30. 30
    If a galvanometer is shunted by (1n−1)th\left(\dfrac{1}{n - 1}\right)^{th} of the value of its resistance, then the fraction of the total current passing through the galvanometer is

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  31. 31
    The product of magnetic susceptibility (χ)(\chi) and absolute temperature (T) is constant for a

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  32. 32
    A circular coil of 'N' turns and diameter 'd' carries current 'I'. It is unwound and rewound to make another coil of diameter '2d', current 'I' remaining the Same. The ratio of magnetic moments of the new coil to the original coil is

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  33. 33
    Lorentz magnetic force is acting on a particle of charge qq moving with velocity V⃗\vec{V} in magnetic field B⃗\vec{B}. The work done by this force on the charged particle is

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  34. 34
    A coil of 'n' turns and resistance R ΩR\,\Omega is connected in series with a resistance R/4R/4. The combination is moved for time 't' second through flux Φ1\Phi_1 to Φ2\Phi_2. The induced current in the circuit is

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  35. 35
    The coefficient of mutual induction is 33H and induced e.m.f. across secondary is 44 kV. Current in primary is reduced from 7A to 2A. The time required for the change of current is

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  36. 36
    A bar magnet falls from a height 'h' through a metal pipe, its acceleration after coming out of pipe is

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  37. 37
    A series LCR circuit is connected to an a.c. source of 220220 V, 5050 Hz. The circuit contains a resistance R=80 ΩR = 80\,\Omega, an inductor of inductive reactance 70 Ω70\,\Omega and capacitor of capacitive reactance 130 Ω130\,\Omega. The power factor of the circuit is x10\dfrac{x}{10}. The value of x is

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  38. 38
    Determine the frequency for which a 10 μF10\ \mu\mathrm{F} capacitor has a reactance of 2×10−3 Ω2 \times 10^{-3}\,\Omega.

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  39. 39
    A coil has inductive reactance 33 H. The ratio of its reactance when it is first connected to an a.c. source and then to d.c. source is

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  40. 40
    An equiconvex lens of focal length F is cut in to two equal parts along the vertical axis. The focal length of each part will be

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  41. 41
    A ray of light travels from air to water to glass and again from glass to air. Refractive index of water with respect to air is 'x', glass with respect to water is 'y' and air with respect to glass is 'z'. Which one of the following is correct?

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  42. 42
    When the distance of separation between the slit and screen is doubled, the angular separation between fringes in single slit diffraction pattern experiment

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  43. 43
    Light of wavelength λ\lambda is incident on a single slit of width 'a' and the distance between slit and screen is D. In diffraction pattern, if slit width is equal to the width of the central maximum then D is equal to

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  44. 44
    Light of wavelength 'λ\lambda' which is less than threshold wavelength is incident on a photosensitive material. If incident wavelength is decreased so that emitted photoelectrons are moving with some velocity then stopping potential

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  45. 45
    When the electron orbiting in hydrogen atom in its ground state moves to the third excited state, the de-Broglie wavelength associated with it

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  46. 46
    If 'E' and 'L' denote the magnitude of total energy and angular momentum of revolving electron in nthn^{th} Bohr orbit then

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  47. 47
    Two different radioactive elements with half lives T1T_1 and T2T_2 have undecayed atoms N1N_1 and N2N_2 respectively, present at a given instant. The ratio of their activities at this instant is

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  48. 48
    Photodiode is a device

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  49. 49
    For a p-n junction diode, breakdown voltage occurs when

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  50. 50
    If p-n junction diode is forward biased then

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Chemistry

50 questions

  1. 51
    What is the approximate mass of the precipitate formed when 5050 mL of 16.9%16.9\% solution of AgNO3\mathrm{AgNO_3} is mixed with 5050 mL of 7.45%7.45\% KCl solution? (Molar mass of AgNO3=169\mathrm{AgNO_3} = 169 g/mol, KCl=74.5\mathrm{KCl} = 74.5 g/mol, AgCl =143.3= 143.3 g/mol)

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  2. 52
    Calculate the de Broglie wavelength of an electron in the first Bohr orbit of a hydrogen atom if the velocity of an electron in the first orbit is 2.2×106 ms−12.2 \times 10^{6}\ \mathrm{ms^{-1}}. [mass of electron =9.1×10−31= 9.1 \times 10^{-31} kg, plank's constant (h) =6.626×10−34= 6.626 \times 10^{-34} J s]

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  3. 53
    Which group elements have the smallest atomic radii in their respective periods?

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  4. 54
    What happens to the size of atoms in p-block elements when we move from left to right in the same period?

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  5. 55
    Which of the following order of dipole moment for stated molecules is correct?

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  6. 56
    Calculate the compressibility factor of 11 mole of a certain real gas if it occupies 0.4 dm30.4\ \mathrm{dm^3} at 300300 K and 4040 atm. [R =0.082= 0.082 atm dm3 K−1 mol−1\mathrm{dm^3\,K^{-1}\,mol^{-1}}]

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  7. 57
    C2H5OH(l)+3O2(g)→2CO2(g)+3H2O(l)\mathrm{C_2H_5OH}(l) + 3\mathrm{O_2}(g) \rightarrow 2\mathrm{CO_2}(g) + 3\mathrm{H_2O}(l) The value of enthalpy change (ΔH)(\Delta H) for above reaction at 27 ∘C27\ ^\circ\mathrm{C} is −1366.5 kJ mol−1-1366.5\ \mathrm{kJ\,mol^{-1}}. Then value of internal energy change for the same reaction at this temperature will be

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  8. 58
    Which of the following processes has ΔS\Delta S negative?

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  9. 59
    Which of the following properties of a system depends upon the amount of matter and path?

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  10. 60
    The dissociation constant of weak acid HA is 1.5×10−51.5 \times 10^{-5}. Find the percent dissociation, containing 0.20.2 moles per 22 liters of solution.

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  11. 61
    The solubility of sparingly soluble salts MX1\mathrm{MX_1}, MX2\mathrm{MX_2} and MX3\mathrm{MX_3} is 1×10−31 \times 10^{-3} mol/L. Hence, their respective solubility products are

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  12. 62
    Identify the strongest base according to Bronsted-Lowry theory from following.

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  13. 63
    Identify the alkali metal having the smallest atomic size from following.

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  14. 64
    Identify the compound formed when But-2-ene is treated with KMnO4\mathrm{KMnO_4} in dilute H2SO4\mathrm{H_2SO_4}.

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  15. 65
    Which one of the following compound will show addition of HBr to alkene according to markownikoff's rule?

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  16. 66
    When a mixture of two different alkyl halides reacts with metallic sodium in dry ether, the formation of a possible number of alkanes are-

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  17. 67
    Identify the product of reforming reaction of n-hexane in the presence of V2O5\mathrm{V_2O_5} over alumina.

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  18. 68
    An element crystallises in fcc unit cell with cell edge length of 3.608×10−83.608 \times 10^{-8} cm, the density of element is 8.92 gcm−38.92\ \mathrm{gcm^{-3}}. Calculate the atomic mass of element (NA=6.022×1023)(\mathrm{N}_A = 6.022 \times 10^{23}).

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  19. 69
    Calculate the number of unit cells present in 11 g metal if the product of the density of metal and the volume of unit cell is 2.5×10−222.5 \times 10^{-22} g.

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  20. 70
    Which of the following is NOT a characteristic of Schottky defect?

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  21. 71
    Calculate the van't Hoff factor of a centimolar solution of potassium ferrocyanide if it is 60%60\% dissociated at 300300 K.

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  22. 72
    55 g urea is dissolved in 100100 g water. Find the amount of glucose to be dissolved in 120120 g of water so that the boiling points of both solutions will be the same. [Molar mass of urea =60 g mol−1= 60\ \mathrm{g\,mol^{-1}} & Molar mass of glucose =180 g mol−1= 180\ \mathrm{g\,mol^{-1}}]

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  23. 73
    Which of the following solutes has the ratio of theoretical molar mass to the experimentally observed molar mass is 33?

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  24. 74
    The molar conductivity of 0.010.01 M monobasic acid at 25 ∘C25\ ^\circ\mathrm{C} is 15 ohm−1 cm2 mol−115\ \mathrm{ohm^{-1}\ cm^2\ mol^{-1}}. The molar conductivity of the same acid at infinite dilution is 375 ohm−1 cm2 mol−1375\ \mathrm{ohm^{-1}\ cm^2\ mol^{-1}}. Calculate [H+][\mathrm{H^+}] in solution.

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  25. 75
    Which from following statements regarding mercury battery is NOT true?

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  26. 76
    The molar conductivity of 0.040.04 M AB2\mathrm{AB_2} type salt solution at 300300 K is 200 Ω−1cm2mol−1200\ \Omega^{-1}\mathrm{cm^2mol^{-1}}. Find the conductivity.

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  27. 77
    The time required for 90%90\% completion of a certain first order reaction is 11 hour. Calculate the time required for 99.9%99.9\% completion of the same reaction.

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  28. 78
    The rate of the reaction 2A+3B→2C+D2A + 3B \rightarrow 2C + D is 6×10−4 mol dm−3 s−16 \times 10^{-4}\ \mathrm{mol\ dm^{-3}\ s^{-1}}, when [A]=[B]=0.3 mol dm−3[A] = [B] = 0.3\ \mathrm{mol\ dm^{-3}}. If the reaction is of first order for A and zeroth order for B, then find the rate constant.

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  29. 79
    What is the value of the slope of a graph obtained by plotting the concentration of reactant (A)t(A)_t versus time for zero order reaction?

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  30. 80
    Which of the following nano structures includes nanotubes as an example?

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  31. 81
    Match List I with List II
    List IList II
    (A). Brownian Motion(I). Removal of impurities from the colloidal sols using a semipermeable membrane.
    (B). Tyndall Effect(II). Movement of colloidal particles under the influence of an electric field.
    (C). Electrophoresis(III). Random movement of colloidal particles due to kinetic energy.
    (D). Dialysis(IV). Scattering of light by colloidal particles
    Choose the correct answer from the options given below:

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  32. 82
    Identify the factor responsible for the greater range of oxidation states in actinoids.

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  33. 83
    Which of the following factors may be regarded as the main cause of lanthanide contraction?

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  34. 84
    What is the value of spin only magnetic moment for Cu2+\mathrm{Cu^{2+}} in BM?

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  35. 85
    The sum of coordination number and oxidation number of M in [M(en)2C2O4]Cl[\mathrm{M(en)_2C_2O_4}]\mathrm{Cl} is

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  36. 86
    In the coordination complex, Potassium hexacyanoferrate(II), the central atom/ion acts as,

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  37. 87
    Which of the following halogen derivative forms a poisonous phosgene, when come in contact with air and light?

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  38. 88
    What is the general molecular formula of alkyl halides?

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  39. 89
    In the following sequence of the reaction, the final product "C" is- C6H5OH →Aq NaOHCCl4 A →NaOH B →H3O+ C\mathrm{C_6H_5OH}\ \xrightarrow[\text{Aq NaOH}]{\mathrm{CCl_4}}\ \mathrm{A}\ \xrightarrow{\mathrm{NaOH}}\ \mathrm{B}\ \xrightarrow{\mathrm{H_3O^+}}\ \mathrm{C}

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  40. 90
    Which of the following is a dihydric alcohol?

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  41. 91
    What happens when phenol reacts with bromine water?

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  42. 92
    Which of the following statements is true regarding Cannizzaro reaction?

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  43. 93
    Aldehydes are more reactive than ketone towards nucleophilic attack because of?

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  44. 94
    Identify the product 'B' in the following reaction CH3−I→KCNA→Na/C2H5OHB\mathrm{CH_3 - I \xrightarrow{KCN} A \xrightarrow{Na/C_2H_5OH} B}

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  45. 95
    Identify Hinsberg's reagent from following.

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  46. 96
    Which component of DNA carries genetic information?

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  47. 97
    Which of the following is confirmed by the reaction of glucose with hydroxylamine?

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  48. 98
    Which of the following polymers has ester linkage?

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  49. 99
    Which properties from following is improved by vulcanization of rubber?

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  50. 100
    Which of the following cleansing agents contains cationic detergent?

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