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MHT-CET 2026 (19 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
    For two vectors P⃗\vec{P} and Q⃗\vec{Q}, P⃗⋅Q⃗=∣P⃗×Q⃗∣\vec{P}\cdot\vec{Q} = |\vec{P} \times \vec{Q}| The magnitude of R⃗=P⃗+Q⃗\vec{R} = \vec{P} + \vec{Q} is (cos⁡45∘=12)\left(\cos 45^\circ = \dfrac{1}{\sqrt{2}}\right) ?

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  2. 2
    Two stones of masses mm and 3m3m are whirled in horizontal circles, the heavier one in a radius r3\dfrac{r}{3} and the lighter one in radius rr. When both the stones experience same centripetal forces, the tangential speed of lighter stone is 'nn' times that of the value of heavier stone. The value of 'nn' is

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  3. 3
    Two particles having mass 'M' and 'm' are moving in a circular path with radius 'R' and 'r' respectively. The time period for both the particles is same. The ratio of angular velocity of the first particle to that of the second particle will be

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  4. 4
    Which of the following person is in an inertial frame of reference?

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  5. 5
    The spring is initially in unstretched condition. It is first stretched by a length 'xx' and the work done is W1W_1. Then again it is stretched by further length 'xx' when the work done is W2W_2. The value of W2W_2 is given by

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  6. 6
    A thin uniform rod AB of mass 'mm' and length 'll' is hinged at one end A to the ground level. Initially the rod stands vertically and is allowed to fall freely to the ground in the vertical plane. The angular velocity of the rod when its B end strikes the ground is (gg = acceleration due to gravity)

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  7. 7
    The radius of gyration of a solid sphere of radius 'R' and mass 'M' about its diameter is KdK_d and that about a tangent of a solid sphere is KtK_t. The ratio of KdK_d to KtK_t is

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  8. 8
    A geostationary satellite is orbiting the earth at a height of 4R4R above the surface of the earth, where RR is the radius of the earth. Another satellite is orbiting the earth at a height 1.5R1.5R from the surface of the earth with periodic time 'T' in hour. The value of 'T' in hour is

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  9. 9
    One large soap bubble of diameter 'D' breaks into 6464 bubbles having surface tension 'T'. The change in surface energy is

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  10. 10
    The pressures inside two soap bubbles A and B are 1.021.02 atmosphere and 1.041.04 atmosphere respectively. The ratio of volume of bubble A to that of bubble B is (outside pressure =1= 1 atmosphere)

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  11. 11
    An in-compressible fluid flows steadily through a horizontal cylindrical pipe. The pipe has radius '3R3R' at point A and '1.5R1.5R' at point B, further along the flow direction at the same level. If the velocity at point A is 'vv', then that at point B is

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  12. 12
    When 170170 J of energy is incident on a surface of a body, 1717 J of energy is reflected by it. If the coefficient of absorption is 0.70.7, then the amount of energy transmitted will be

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  13. 13
    A black body is at temperature 827 ∘C827\ ^\circ\mathrm{C}. The rate at which it emits energy is proportional to

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  14. 14
    If the two temperatures on Fahrenheit scale differ by 54 ∘F54\ ^\circ\mathrm{F}, then the difference in temperature on the Celsius scale is

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  15. 15
    A gas at normal temperature is suddenly compressed to one-fourth of its original volume. If γ=1.5\gamma = 1.5, then the increase in the temperature of the gas in Kelvin is (γ\gamma is the ratio of specific heats)

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  16. 16
    The thermodynamic process in which no work is done by the gas or on the gas is

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  17. 17
    The kinetic energy of an ideal gas is E0E_0 at 27 ∘C27\ ^\circ\mathrm{C}. When the temperature is increased to 177 ∘C177\ ^\circ\mathrm{C}, then kinetic energy will be

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  18. 18
    A particle executes a simple harmonic motion with a periodic time 88 second. At time t=0t = 0, it is at a mean position. The ratio of the distance traveled by a particle in the 2nd and that in the 1st second of its motion is (sin⁡45∘=cos⁡45∘=12,sin⁡90∘=cos⁡0∘=1)\left(\sin 45^\circ = \cos 45^\circ = \dfrac{1}{\sqrt{2}}, \sin 90^\circ = \cos 0^\circ = 1\right)

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  19. 19
    The third overtone of a closed pipe of length 'LcL_c' has the same frequency as the third overtone of the open pipe of length 'L0L_0'. Both the pipes have same diameters. The ratio Lc:L0L_c : L_0 is equal to

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  20. 20
    A tuning fork gives 55 beats per second with a 3333 cm length of sonometer wire. If the length of the wire is shortened by 11 cm, the number of beats is still the same. The frequency of the fork is

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  21. 21
    A set of 1414 tuning forks is arranged in a series of increasing frequencies. Each fork produces 'xx' beats per second with the preceding fork and the last fork is an octave of the first fork. If the seventh fork has the frequency of 114114 Hz, the value of xx is

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  22. 22
    Which one of the following statements regarding pitch of sound is 'WRONG' ? (A) Pitch refers to sharpness of sound. (B) Tone refers to the single frequency of that wave. (C) High pitch sound need not be louder. (D) In general male sound is sharper than that of a female.

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  23. 23
    'nn' small spherical drops of the same size which are charged to 'V' volt each coalesce to form a single big drop. The potential of a big drop is

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  24. 24
    Two electric dipoles of moment PP and 8P8P are placed in opposite directions on a line at a distance of 2424 cm. The electric field will be zero at the point between the dipoles whose distance from the dipole of moment PP will be x1x_1. When 8P8P is replaced by 27P27P keeping all other quantities the same, the distance x1x_1 now becomes x2x_2. The difference ∣x2−x1∣|x_2 - x_1| is ( All the distances are measured from the centers of the dipole.)

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  25. 25
    A parallel plate capacitor of capacitance 'C' is connected to a battery and charged to a potential 'V'. Another capacitor of capacitance '3C3C' is charged to a potential '3V3V'. The charging battery is then disconnected and both the capacitors are connected in parallel to each other such that positive terminal of one is connected to negative terminal of the other. The final energy of the configuration is

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  26. 26
    A slab of material of dielectric constant KK has the same area as the plates of a parallel plate capacitor but has a thickness (4/5)d(4/5)d, where dd is the separation of the plates. The capacitance in the presence and absence of dielectric are CC and C0C_0 respectively. The ratio (C/C0)(C/C_0) is

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  27. 27
    In a meter bridge experiment, the balance point is obtained at length 'l1l_1' cm from left hand when resistances in the left gap and right gap are 15 Ω15\,\Omega and R ΩR\,\Omega respectively. When the resistance RR is shunted with equal resistance the new balance point is at (1.6 l1)(1.6\,l_1). The resistance RR in ohm is

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  28. 28
    In a potentiometer circuit when two cells of e.m.f. 1.51.5 volt and 1.21.2 volt are connected to assist each other, balancing length is 270270 cm. What will be the balancing length in cm when these two cells are connected in opposition?

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  29. 29
    The voltage across a lamp is (6.0±0.3)(6.0 \pm 0.3) volt and the current passing through it is (4.0±0.1)(4.0 \pm 0.1) ampere. The power consumed in watt will be (using percentage error)

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  30. 30
    A diamagnetic liquid is filled in a U-tube. One arm of a U-tube is placed in an external magnetic field with the meniscus in line with the field. The level of the liquid in that arm will

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  31. 31
    The frequency of oscillation of a small magnet in a magnetic field of induction 'B' is 'nn'. If the frequency of oscillations of the same magnet in a field of induction 'X' falls to (n3)\left(\dfrac{n}{3}\right), the value of 'X' is

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  32. 32
    Two circular coils X (smaller) and Y (bigger), each having a single turn, carry equal currents in the same direction and subtend the same angle at point 'O' along the axis of the coil. The distances of the centers of coil to point 'O' are dd and (d2)\left(\dfrac{d}{2}\right) for coil Y and X respectively. The radii of coils Y and X are (2r)(2r) and (r)(r) respectively. The magnetic induction due to the bigger coil at point 'O' is ByB_y and that due to smaller coil X at point 'O' is BxB_x. (d≫r)(d \gg r) The relation between BxB_x and ByB_y is

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  33. 33
    Two thin long parallel wires, W1W_1 and W2W_2 separated by distance 'aa', carry currents ii and 3i3i respectively in the same direction. The magnitude of the force per unit length exerted by wire W1W_1 on wire W2W_2 is

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  34. 34
    Two different coils have self-inductance 3L3L and LL. The current in both the coils is increased at the same constant rate. At certain instant of time, the power given to the two coils is same. At that time there was current and voltage induced in the two coils. At the same instant, the ratio of energy stored in the first coil to that in the second coil is

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  35. 35
    Consider two coils in which a current in one coil carrying 66 A causes the change in the flux in the second coil 12×10−412 \times 10^{-4} weber/turn. The second coil has 20002000 turns. The mutual inductance between the coils is

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  36. 36
    Magnetic flux linked with the coil in weber is given by the equation Φ=5t2+6t+11\Phi = 5t^2 + 6t + 11. The e.m.f. induced in the coil in the 5th5^{th} second will be

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  37. 37
    For a series LCR circuit inductive reactance XLX_L is equal to resistance RR and also equal to twice the capacitive reactance XCX_C. The impedance of the circuit and the phase difference between voltage V and current i are respectively

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  38. 38
    An alternating voltage e=1502sin⁡100te = 150\sqrt{2}\sin 100t volt is applied to a capacitor of capacity 2 μF2\ \mu\mathrm{F}. The root mean square value of current in the circuit is

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  39. 39
    In an LCR circuit at resonance, the a.c. source current is A) maximum in a series LCR circuit only. B) maximum in a parallel LCR circuit only. C) maximum in both series and parallel LCR circuits. D) minimum in both series and parallel LCR circuits. The correct answer is

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  40. 40
    A glass slab of thickness 6.06.0 cm is placed on the piece of paper on which an inkdot is marked. By how much distance would an inkdot appear to be raised? The velocity of light in glass is 2×108 ms−12 \times 10^8\ \mathrm{ms^{-1}} and that in air is 3×108 ms−13 \times 10^8\ \mathrm{ms^{-1}}.

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  41. 41
    In Young's double slit experiment, the wavelength of light used is λ\lambda. The intensity on the screen at a point for path difference 'λ\lambda' is 'XX'. The intensity at the point for path difference (λ6)\left(\dfrac{\lambda}{6}\right) is (cos⁡180∘=−1,cos⁡30∘=32)\left(\cos 180^\circ = -1, \cos 30^\circ = \dfrac{\sqrt{3}}{2}\right)

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  42. 42
    In a single slit diffraction pattern, the distance between the plane of the slit and the screen is 1.41.4 m. The width of the slit is 0.660.66 mm. The second maximum is formed at the distance of 2.82.8 mm from the center of the screen. The wavelength of light used is

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  43. 43
    In Young's double slit experiment, for the nthn^{th} dark fringe (n=1,2,3,…)(n = 1, 2, 3, \ldots) the phase difference of the interfering waves in radian will be

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  44. 44
    A photoelectric surface is illuminated successively by monochromatic light of wavelength λ\lambda and (λ/3)(\lambda/3). If the maximum kinetic energy of the emitted photo electrons in the second case is 44 times that in the first case, the work function of the surface of the material is (hh = Planck's constant, cc = speed of light)

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  45. 45
    According to Einstein's photoelectric equation, the graph of the kinetic energy of the emitted photoelectrons versus the frequency of incident radiation gives a straight line whose slope

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  46. 46
    The shortest wavelength in the Balmer series of hydrogen atom is equal to the shortest wavelength in the Brackett series of a hydrogen like atom of atomic number 'Z'. The value of 'Z' is

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  47. 47
    A radioactive sample has half-life of 55 years. The percentage of fraction decayed in 1010 years will be

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  48. 48
    The material used for solar cell should have band gap (A) equal to zero. (B) equal to 0.080.08 eV. (C) between 1.01.0 eV to 1.81.8 eV. (D) equal to 22 eV.

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  49. 49
    For a two input logic gate, when the inputs are 'zero' and 'zero' the output is 'one'. When the inputs are 'one' and 'zero' the output is 'zero'. The type of logic gate is

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  50. 50
    In n-type semiconductor A) pentavalent impurity are dopants and holes are majority carriers. B) trivalent impurity are dopants and electrons are minority carriers. C) pentavalent impurity are dopants and electrons are majority carriers. D) trivalent impurity are dopants and holes are majority carriers.

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Chemistry

50 questions

  1. 51
    What is the percentage atom economy when formula weight of product is 6565 u and the sum of formula weight of reactant is 130130 u?

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  2. 52
    What quantity of H2O\mathrm{H_2O} in gram is present in 0.250.25 mol of it?

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  3. 53
    What is the wave number of lowest transition associated with Paschen series?

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  4. 54
    Which among the following molecule exhibits paramagnetism?

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  5. 55
    Identify correct order for repulsion between electron pair present in valence shell of central atom of molecule?

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  6. 56
    What is the number of sp3sp^3 hybrid carbon atoms in HO(CH2)2CH(CH3)2\mathrm{HO(CH_2)_2CH(CH_3)_2}?

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  7. 57
    Which of the following is not an illustration of viscosity?

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  8. 58
    Identify from following, the relation between standard free energy change in a reaction and equilibrium constant KcK_c.

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  9. 59
    A gas absorbs 120120 J of heat and expands by 300×10−6 m3300 \times 10^{-6}\ \mathrm{m^3} against a constant external pressure of 2×105 Nm−22 \times 10^5\ \mathrm{Nm^{-2}}. What will be the change in internal energy of the system ?

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  10. 60
    An ideal gas expands from initial volume 5 dm35\ \mathrm{dm^3} to 15 dm315\ \mathrm{dm^3} against a constant external pressure of 22 atm. What is the work done by the gas ?

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  11. 61
    A weak base is 1.3%1.3\% dissociated in its aqueous solution. If KbK_b for weak base is 1.69×10−51.69 \times 10^{-5} at 298298 K. Find the concentration of aqueous solution of weak base.

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  12. 62
    What is the pH of solution containing 5×10−4 M H+5 \times 10^{-4}\ \mathrm{M\,H^+} ion?

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  13. 63
    Identify change in oxidation state of oxidising agent in following redox reaction. 3H3AsO3(aq)+BrO3(aq)−⟶Br(aq)−+3H3AsO4(aq)\mathrm{3H_3AsO_{3(aq)} + BrO^-_{3(aq)} \longrightarrow Br^-_{(aq)} + 3H_3AsO_{4(aq)}}

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  14. 64
    Which element from following forms superoxide with oxygen?

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  15. 65
    What is the number of chiral carbon atoms in 2-chlorobutane?

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  16. 66
    Identify the aldehyde from following so that the aldehydic group is NOT attached with any sp3sp^3 hybrid 'c' atom.

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  17. 67
    Which from following is a primary benzylic alcohol?

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  18. 68
    Which from the following aldehydes contains two −CHO\mathrm{-CHO} groups in a molecule?

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  19. 69
    Gold crystallizes as fcc unit cell, the edge length of unit cell is 408408 pm. What is the radius of gold atom?

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  20. 70
    What is the number of tetrahedral voids present in 0.50.5 mole of compound forming hcp structure?

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  21. 71
    Which among the following pairs of solutions is isotonic in nature?

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  22. 72
    A solution of non volatile solute has boiling point elevation 0.700.70 K if KbK_b for the solvent is 2.44 K kg mol−12.44\ \mathrm{K\,kg\,mol^{-1}}. What is the molality of the solution?

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  23. 73
    Van't Hoff factor for BaCl2\mathrm{BaCl_2} is 2.472.47, calculate the percentage dissociation of in its aqueous solution.

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  24. 74
    What is number of moles of electron passed when a current of 22 Amp flows through solution of electrolyte for 1010 minutes?

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  25. 75
    What is the conductivity of 0.02 M AgNO30.02\ \mathrm{M\,AgNO_3} solution having cell constant 1.2 cm−11.2\ \mathrm{cm^{-1}} and resistance 95.095.0 ohms ?

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  26. 76
    During the electrolysis of aqueous NaCl the product formed at cathode is?

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  27. 77
    Which of the following is an elementary reaction ?

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  28. 78
    A first order reaction take 3030 minutes for 75%75\% decomposition, calculate its rate constant ?

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  29. 79
    Rate constant of decomposition of hydrogen peroxide is 0.0204 minutes−10.0204\ \mathrm{minutes^{-1}}, calculate half life of reaction.

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  30. 80
    Which of the following properties of colloid is used to measure the rate of migration of sol particles?

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  31. 81
    Which among the following oxoacids of chlorine exhibits +3+3 oxidation state of chlorine?

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  32. 82
    Identify general electronic configuration exhibited by 2nd2^{nd} series of transition elements.

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  33. 83
    Identify metals present in brass.

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  34. 84
    What is the highest possible oxidation state exhibited by manganese ?

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  35. 85
    What type of hybridization is found in [Ni(Cl)4]2−[\mathrm{Ni(Cl)_4}]^{2-}?

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  36. 86
    What is the oxidation state of cobalt in [Co(NH3)6]3+[\mathrm{Co(NH_3)_6}]^{3+} ?

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  37. 87
    Identify reagent B in following reaction. R−X→B\mathrm{R - X \xrightarrow{B}} Nitroalkane

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  38. 88
    Which of the following nn mole compound is obtained when 2n2n moles of C6H5Cl\mathrm{C_6H_5Cl} treated of with 2n2n mole sodium atom in dry ether?

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  39. 89
    Which from the following compounds is not obtained when methyl bromide is treated with ethyl bromide in presence of sodium metal in dry ether?

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  40. 90
    Which of the following pair of reagents is used for the conversion of carboxylic acid to alcohol ?

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  41. 91
    Which from the following hydroxy compounds contain only one −OH\mathrm{-OH} group in a molecule?

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  42. 92
    Identify the compound obtained when ethyl methyl ketone is treated with CH3MgBr\mathrm{CH_3MgBr} and hydrolyzed.

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  43. 93
    Which from the following is NOT a monocarboxylic acid?

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  44. 94
    Which from following compounds is obtained when propionamide is treated with Br2\mathrm{Br_2} and concentrated aqueous KOH solution ?

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  45. 95
    Which from following amines is obtained by Gabrial phthalimide synthesis?

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  46. 96
    Which from following compounds is classified as oligosaccharide?

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  47. 97
    Which from following, sugar is an aldohexose?

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  48. 98
    Identify ureaformaldehyde resin from following polymers?

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  49. 99
    Identify thermosetting polymer from following.

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  50. 100
    Identify antimicrobial compound from following.

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