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MHT-CET 2023 (16 May Shift 2), 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
    A circular coil of resistance RR, area AA, number of turns NN is rotated about its vertical diameter with angular speed ω\omega in a uniform magnetic field of magnitude BB. The average power dissipated in a complete cycle is

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  2. 2
    The linear speed of a particle at the equator of the earth due to its spin motion is VV. The linear speed of the particle at latitude 30∘30^\circ is (sin⁡30∘=cos⁡60∘=1/2\sin 30^\circ = \cos 60^\circ = 1/2, cos⁡30∘=sin⁡60∘=3/2\cos 30^\circ = \sin 60^\circ = \sqrt{3}/2)

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  3. 3
    Three point masses, each of mass mm, are placed at the corners of an equilateral triangle of side LL. The moment of inertia of the system about an axis passing through one of the vertices and parallel to the side joining other two vertices will be

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  4. 4
    In the second orbit of hydrogen atom, the energy of an electron is EE. In the third orbit of helium atom, the energy of the electron will be (atomic number of helium =2= 2)

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  5. 5
    The graph shows the variation of voltage VV across the plates of two capacitors A and B versus increase in charge QQ stored in them. Then

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  6. 6
    The bob of a pendulum of length ll is pulled aside from its equilibrium position through an angle θ\theta and then released. The bob will then pass through its equilibrium position with speed vv, where vv equals (g=g = acceleration due to gravity)

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  7. 7
    On the surface of the liquid in equilibrium, molecules of the liquid possess

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  8. 8
    An optician makes spectacles having a combination of a convex lens of focal length 40 cm in contact with a concave lens of focal length 25 cm. The power of this combination of lenses in dioptre is

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  9. 9
    A ray of light travelling through a rarer medium is incident at very small angle ii on a glass slab and after refraction its velocity is reduced by 25%. The angle of deviation is

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  10. 10
    Kinetic energy of a proton is equal to energy EE of a photon. Let λ1\lambda_1 be the de Broglie wavelength of proton and λ2\lambda_2 be the wavelength of photon. If λ1λ2∝En\frac{\lambda_1}{\lambda_2} \propto E^n then the value of nn is

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  11. 11
    An inductance of 2 mH, a condenser of 20 μF20\,\mu\text{F} and a resistance of 50 Ω50\,\Omega are connected in series to an a.c. source. The reactance of inductor and condenser are same. The reactance of either of them will be

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  12. 12
    Two sound waves having frequencies 250 Hz and 256 Hz superimpose to produce beat wave. The resultant beat wave has intensity maximum at t=0t=0. After how much time will intensity minimum be produced at the same point?

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  13. 13
    A body travelling with uniform acceleration crosses two points A and B with velocities 20 m/s and 30 m/s respectively. The speed of the body at mid point of A and B is (nearly)

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  14. 14
    During an experiment, an ideal gas is found to obey an additional law VP2=VP^2 = constant. The gas is initially at temperature TT and volume VV. What will be the temperature of the gas when it expands to a volume 2V2V?

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  15. 15
    To get the truth table shown from the following logic circuit, the logic gate GG should be

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  16. 16
    In an LCR circuit, if VV is the effective value of the applied voltage, VRV_R is the voltage across RR, VLV_L and VCV_C is the effective voltage across LL and CC respectively then

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  17. 17
    Two objects of masses m1m_1 and m2m_2 are moving in circles of radii r1r_1 and r2r_2 respectively. Their respective angular speeds ω1\omega_1 and ω2\omega_2 are such that they both complete one revolution in the same time tt. The ratio of linear speed of m2m_2 to that of m1m_1 is

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  18. A hollow cylinder has charge 'q' C within it. The curved surface is B and plane surface is A.
    18
    A hollow cylinder has charge qq C within it. If ϕ\phi is the electric flux associated with the curved surface B, the flux linked with the plane surface A will be

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  19. 19
    A water drop is divided into 8 equal droplets. The pressure difference between the inner and outer side of the big drop will be

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  20. 20
    An arc of a circle of radius RR subtends an angle π2\frac{\pi}{2} at the centre. It carries a current II. The magnetic field at the centre will be (μ0=\mu_0 = permeability of free space)

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  21. 21
    The Boolean expression for the given combination of logic gates is

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  22. 22
    A body performing uniform circular motion of radius RR has frequency nn. Its centripetal acceleration per unit radius is proportional to nxn^x. The value of xx is

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  23. 23
    A solenoid having 400 turns per metre has a core of a material with relative permeability 400. When a current of 0.5 A is passed through it, the magnetization of the core material in A m−1^{-1} is nearly

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  24. 24
    Three identical metal balls each of radius rr are placed such that an equilateral triangle is formed when centres of three balls are joined. The centre of mass of the system is located at

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  25. 25
    Two identical galvanometers are converted into an ammeter and into a milliammeter. For the same current, the value of shunt of the ammeter as compared to that of the milliammeter is

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  26. 26
    A boy weighs 72 N on the surface of earth. The gravitational force on a body due to earth at a height equal to half the radius of earth will be

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  27. 27
    In a single slit diffraction experiment, for a wavelength of light λ\lambda, half-angular width of the principal maxima is θ\theta. Also for wavelength of light pλp\lambda, the half angular width of the principal maxima is qθq\theta. The ratio of the half-angular widths of the first secondary maxima in the first case to second case will be

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  28. 28
    The first operation involved in a Carnot cycle is

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  29. 29
    Temperature remaining constant, the pressure of gas is decreased by 20%. The percentage change in volume

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  30. 30
    A plane mirror is placed at the bottom of a tank containing a liquid of refractive index μ\mu. pp is a small object at a height hh above the mirror. An observer OO vertically above pp outside the liquid sees pp and the image in a mirror. The apparent distance between these two will be

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  31. 31
    A light bulb connected in series with a capacitor and an a.c. source is glowing with a certain brightness. On reducing the capacity of capacitance and frequency of source, the brightness of the lamp (respectively)

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  32. 32
    A pipe 60 cm long and open at both ends produces harmonics. Which harmonic mode of pipe resonates a 2.2 kHz source? (Speed of sound in air =330= 330 m/s) (Neglect end correction)

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  33. 33
    A point source of light is used in a photoelectric effect. If the source is removed farther from the emitting metal, then the stopping potential will

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  34. 34
    The kinetic energy of a particle executing simple harmonic motion is 16 J when it is in mean position. If amplitude of motion is 25 cm and the mass of the particle is 5.12 kg, the period of oscillation is

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  35. 35
    At certain temperature, rod A and rod B of different materials have lengths LAL_A and LBL_B respectively. Their coefficients of linear expansion are αA\alpha_A and αB\alpha_B respectively. It is observed that the difference between their lengths remains constant at all temperatures. The ratio LA/LBL_A/L_B is given by

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  36. 36
    A liquid drop having surface energy EE is spread into 512 droplets of same size. The final surface energy of the droplets is

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  37. 37
    Two radioactive substances A and B have decay constants 5λ5\lambda and λ\lambda respectively. At t=0t=0, they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be 1e2\frac{1}{e^2} after a time interval

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  38. 38
    A monoatomic ideal gas is heated at constant pressure. The percentage of total heat used in changing the internal energy is

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  39. 39
    A source and listener are both moving towards each other with speed V10\frac{V}{10} (where VV is speed of sound). If the frequency of sound note emitted by the source is nn, then the frequency heard by the listener would be nearly

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  40. 40
    The ratio of the specific heats CPCV=γ\frac{C_P}{C_V} = \gamma, in terms of degrees of freedom (nn) is

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  41. 41
    In a double slit experiment, the distance between slits is increased 10 times, whereas their distance from screen is halved. The fringe width

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  42. 42
    If a transformer of an audio amplifier has output impedance 8000 Ω8000\,\Omega and the speaker has input impedance 8 Ω8\,\Omega, the primary and secondary turns of this transformer connected between the output of amplifier and to loudspeaker should have the ratio

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  43. 43
    A particle performs linear SHM. At a particular instant, velocity of the particle is uu and acceleration is α\alpha while at another instant, velocity is vv and acceleration is β\beta (0<α<β0 < \alpha < \beta). The distance between the two positions is

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  44. 44
    Two uniform strings A and B made of steel are made to vibrate under the same tension. If first overtone of A is equal to the second overtone of B and if the radius of A is twice that of B, the ratio of the length of string B to that of A is

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  45. 45
    nn small drops of same size are charged to VV volt each. If they coalesce to form a single large drop, then its potential will be

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  46. 46
    Air capacitor has capacitance C1C_1. The space between two plates of capacitor is filled with two dielectrics as shown in figure. The new capacitance of the capacitor is C2C_2. The ratio C1/C2C_1/C_2 is (d=d = distance between two plates of capacitor, K1K_1 and K2K_2 are dielectric constants)

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  47. 47
    A coil is wound on a core of rectangular cross-section. If all the linear dimensions of the core are increased by a factor 2 and number of turns per unit length of coil remains same, the self-inductance increases by a factor of (Assume permeability is same)

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  48. 48
    When a small amount of impurity atoms are added to semiconductor, then generally its resistivity

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  49. 49
    A current II flows in anticlockwise direction in a circular arc of a wire having 34\frac{3}{4}th of circumference of a circle of radius RR. The magnetic field BB at the centre of circle is (μ0=\mu_0 = permeability of free space)

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  50. 50
    When a resistance of 200 Ω200\,\Omega is connected in series with a galvanometer of resistance GG, its range is VV. To triple its range, a resistance of 2000 Ω2000\,\Omega is connected in series. The value of GG is

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Chemistry

50 questions

  1. 51
    What is the number of moles of donor atoms present in one mole oxalate ion?

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  2. 52
    Which from following substances acts as a base when reacted with water?

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  3. 53
    Which from following polymers is classified as fibres?

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  4. 54
    What type of solution is the iodine in air?

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  5. 55
    Identify YY in the following reaction: CH3Br→KCNX→Na/C2H5OHY\text{CH}_3\text{Br} \xrightarrow{\text{KCN}} X \xrightarrow{\text{Na/C}_2\text{H}_5\text{OH}} Y

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  6. 56
    What is de Broglie's wavelength for a particle having mass 6.64×10−276.64 \times 10^{-27} kg moving with velocity of 3×1033 \times 10^3 m s−1^{-1}? (h=6.63×10−34h = 6.63 \times 10^{-34} J s)

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  7. 57
    Identify the product formed in the following reaction: C6H5-CH2-CH3→(i) alk. KMnO4, (ii) H3O+\text{C}_6\text{H}_5\text{-CH}_2\text{-CH}_3 \xrightarrow{\text{(i) alk. KMnO}_4\text{, (ii) H}_3\text{O}^+} product

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  8. 58
    What is IUPAC name of following compound?

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  9. 59
    Calculate the pH of 0.02 M monobasic acid having 2% dissociation.

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  10. 60
    Which of the following molecules can form hydrogen bonding with itself?

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  11. 61
    Calculate the cell constant of conductivity cell containing 0.1 M KCl solution having resistance 60 Ω60\,\Omega and conductivity 0.014 Ω−1 cm−10.014\,\Omega^{-1}\text{ cm}^{-1} at 25∘C25^\circ\text{C}.

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  12. 62
    Calculate standard internal energy change for OF2(g)+H2O(g)→2HF(g)+O2(g)\text{OF}_2(g) + \text{H}_2\text{O}(g) \rightarrow 2\text{HF}(g) + \text{O}_2(g) at 300 K, if ΔfH∘\Delta_f H^\circ of OF2(g)\text{OF}_2(g), H2O(g)\text{H}_2\text{O}(g) and HF(g)\text{HF}(g) are 20,−25020, -250 and −270-270 kJ mol−1^{-1} respectively. R=8.314R = 8.314 J K−1^{-1} mol−1^{-1}

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  13. 63
    Which of the following compounds is obtained by using Finkelstein reaction?

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  14. 64
    In a first order reaction 60% of the reactant converts into product in 45 minutes. Calculate rate constant of the reaction.

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  15. 65
    Identify a compound having properties of tear gas.

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  16. 66
    Which of the following series of emission spectral lines for hydrogen is observed in the visible region?

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  17. 67
    What is the number of faraday required to produce 0.18 g aluminium at cathode during electrolysis of molten AlCl₃? (Molar mass of Al = 27 g mol−1^{-1})

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  18. 68
    Which pair of metal ions from following have same number of unpaired electrons?

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  19. 69
    Which from following compounds contains oxygen as a heteroatom?

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  20. 70
    What type of glycosidic linkages are developed when excess glucose is to be stored for future use in animals?

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  21. 71
    Calculate the relative lowering of vapour pressure if vapour pressure of pure solvent and vapour pressure of solution at 25∘C25^\circ\text{C} are 32 and 30 mm Hg respectively.

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  22. 72
    Which from following ligands is neutral?

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  23. 73
    Identify chiral molecule from following:

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  24. 74
    Which from following polymers is a urea-formaldehyde resin?

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  25. 75
    Which reagent is used in the conversion of phenol to picric acid?

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  26. 76
    Identify the reactivity order for halogens towards alkanes.

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  27. 77
    What is the total number of tetrahedral voids in 0.6 mole of compound that forms hcp structure?

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  28. 78
    Identify name of reaction when aldehyde or ketone react with Zn-Hg/conc. HCl to give alkane.

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  29. 79
    What products are obtained when beryllium oxide is treated separately with aq. HCl and aq. NaOH solutions respectively?

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  30. 80
    Calculate internal energy change of a system if work done by the system is 8 J and heat supplied to it is 40 J.

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  31. 81
    Identify basic oxide from following.

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  32. 82
    Calculate the solubility product of sparingly soluble salt BA at 27∘C27^{\circ}\text{C} if its solubility is 1.8×10−51.8 \times 10^{-5} mol dm−3^{-3} at same temperature.

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  33. 83
    Which of the following conversions is Hofmann Elimination reaction?

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  34. 84
    For the reaction, CH3Br(aq)+OH−(aq)→CH3OH(aq)+Br−(aq)\text{CH}_3\text{Br}(aq) + \text{OH}^-(aq) \rightarrow \text{CH}_3\text{OH}(aq) + \text{Br}^-(aq). Rate of consumption of OH−(aq)\text{OH}^-(aq) is xx mol dm−3^{-3} s−1^{-1}. What is the rate of formation of Br−(aq)\text{Br}^-(aq)?

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  35. 85
    Identify the product X in the following reaction: Ethanoyl chloride →H2OX\xrightarrow{\text{H}_2\text{O}} X

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  36. 86
    Which of the following is allylic alcohol?

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  37. 87
    Identify positively charged sol from the following.

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  38. 88
    Calculate the number of unit cells in 0.4 g metal if the product of density and volume of unit cell is 1.2×10−221.2 \times 10^{-22} g.

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  39. 89
    What is the major product obtained when tert-butyl bromide is heated with silver fluoride?

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  40. 90
    Which from following equations represents a correct relationship between standard cell potential and equilibrium constant for cell reaction?

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  41. 91
    What is the total number of particles present in base centred unit cell?

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  42. 92
    Which of the following equations relates temperature of a reaction with ΔH∘\Delta H^\circ and ΔS∘\Delta S^\circ at equilibrium?

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  43. 93
    Calculate the molality of solution if its depression in freezing point is 0.18 K. Kf=1.6K_f = 1.6 K kg mol−1^{-1}

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  44. 94
    For the reaction, H2(g)+Br2(s)→2HBr(g)\text{H}_2(g) + \text{Br}_2(s) \rightarrow 2\text{HBr}(g), r=k[H2][Br2]1/2r = k[\text{H}_2][\text{Br}_2]^{1/2}. What is the molecularity and order of reaction respectively?

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  45. 95
    Identify an actinoid element from following.

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  46. 96
    What is the oxidation number of Mn in MnO4−\text{MnO}_4^-?

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  47. 97
    What is the number of electrons present in antibonding orbitals of N₂ molecule according to molecular orbital theory?

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  48. 98
    Which from following is a largest size nanomaterial?

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  49. 99
    Which from following nitrogen bases of nucleic acids is derived from purine?

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  50. 100
    Calculate mass in kg of 2.5 mole ammonia.

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