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MHT-CET 2023 (15 May Shift 1), 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 thin uniform metal rod of mass MM and length LL is swinging about a horizontal axis passing through its end. Its maximum angular velocity is ω\omega. Its centre of mass rises to a maximum height of (g=g= Acceleration due to gravity)

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  2. 2
    When the number of turns in a coil are made 3 times without any change in the length of the coil, its self-inductance becomes

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  3. 3
    When a system is taken from state 'a' to state 'c' along a path abc, it is found that Q=80Q = 80 cal and W=35W = 35 cal. Along path adc Q=65Q = 65 cal, the work done WW along path adc is

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  4. 4
    The driver of a car travelling with a speed V1V_{1} m/s towards a wall sounds a siren of frequency nn Hz. If the velocity of sound in air is VV m/s, then the frequency of sound reflected from the wall and as heard by the driver, in Hz, is

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  5. 5
    When a mercury drop of radius RR splits up into 1000 droplets of radius rr, the change in surface energy is (T=T = surface tension of mercury)

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  6. 6
    Two different logic gates giving output '1' for the inputs (1,0) and then for (0,1) are

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  7. 7
    An open organ pipe of length ll is sounded together with another open organ pipe of length l+l1l+l_{1} in their fundamental modes. Speed of sound in air is VV. The beat frequency heard will be (l1≪ll_{1} \ll l)

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  8. 8
    When a coil is connected to a d.c. source of e.m.f. 12 volt, then the current of 4 A flows in it. If the same coil is connected to a 12 volt, 50 Hz a.c. source, then the current flowing in it is 2.4 A. Then self-inductance of the coil will be

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  9. 9
    The ratio of work done by an ideal rigid diatomic gas to the heat supplied by the gas in an isobaric process is

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  10. 10
    A galvanometer has resistance 80 Ω80\,\Omega and it is shunted with resistance 20 Ω20\,\Omega. If 20% of the main current flows through galvanometer, then what is the value of main current?

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  11. 11
    The weights of an object are measured in a coal mine of depth h1h_{1}, then at sea level of height h2h_{2} and lastly at the top of a mountain of height h3h_{3} as W1,W2W_{1}, W_{2} and W3W_{3} respectively. Which one of the following relation is correct? [h1≪R,h3≫h2=R,R=h_{1} \ll R, h_{3} \gg h_{2} = R, R = radius of the earth]

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  12. 12
    The angle of contact between glass and water is 0∘0^{\circ} and water rises in a glass capillary upto 6 cm (Surface tension of water is T). Another liquid of surface tension '2T', angle of contact 60∘60^{\circ} and relative density 2 will rise in the same capillary up to (cos⁡0∘=1,cos⁡60∘=0.5\cos 0^{\circ}=1, \cos 60^{\circ}=0.5)

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  13. 13
    In double slit experiment, instead of taking slits of equal widths, one slit is made twice as wide as the other. Then in interference pattern

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  14. 14
    Two parallel wires separated by distance bb are carrying equal current II in the same direction. The force per unit length of the wire is

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  15. 15
    In an a.c. circuit, the reactance of a coil is 3\sqrt{3} times its resistance. The phase difference between the voltage across the coil to the current through the coil will be

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  16. 16
    Three thin rods, each of mass MM and length LL are placed along X, Y and Z axes which are mutually perpendicular. One end of each rod is at origin. M.I. of the system about Z axis is

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  17. 17
    For a symmetric (equilateral) prism, the prism formula can be written as

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  18. 18
    The internal energy of an ideal diatomic gas corresponding to volume VV and pressure pp, is 2.5 PV. The gas expands from 1 litre to 2 litre at a constant pressure of 10510^{5} N/m2^{2}. The heat supplied to the gas is

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  19. 19
    Two photons having energies twice and thrice the work function of metal are incident one after another on the metal surface. Then the ratio of maximum velocities of the photoelectrons emitted in the two cases is respectively

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  20. 20
    If a unit positive charge is shifted from a region of low potential to a region of high potential, then the electric potential energy of the system

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  21. 21
    Magnetic induction produced at the centre of a circular loop of radius RR carrying a current is BB. The magnetic moment of the loop is (μ0=\mu_{0} = permeability of free space)

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  22. 22
    The pulleys and strings shown in figure are smooth and of negligible mass. For the system to remain in equilibrium, angle θ\theta should be

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  23. 23
    In biprism experiment, the fringe width is 0.6 mm. The distance between 6th dark fringe and 8th bright fringe on the same side of central bright fringe is

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  24. 24
    A radioactive substance has half-life of 60 minute. During 3 hour, the amount of substance decayed would be

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  25. 25
    A horizontal platform with a small object placed on it executes a linear S.H.M. in the vertical direction. The amplitude of oscillation is 40 cm. What should be the least period of these oscillations, so that the object is not detached from the platform? [Take g=10g = 10 m/s2^{2} ]

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  26. 26
    In Young's double slit experiment, II is the minimum intensity and I1I_{1} is the intensity at a point where the path difference is λ4\frac{\lambda}{4} where λ\lambda is the wavelength of light used. The ratio I/I1I/I_{1} is (Intensities of the two interfering waves are same) cos⁡0∘=1,cos⁡90∘=0\cos 0^{\circ}=1, \cos 90^{\circ}=0

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  27. 27
    For a ray of light, the critical angle is minimum, when it travels from

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  28. 28
    Four moles of hydrogen, two moles of helium and one mole of water vapour form an ideal gas mixture. CvC_{v} for hydrogen =52R= \frac{5}{2}R, CvC_{v} for helium =32R= \frac{3}{2}R, CvC_{v} for water vapour =3R= 3R. What is the molar specific heat at constant pressure of the mixture?

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  29. 29
    Electrons are accelerated through a potential difference of 16 kV. If the potential difference is increased to 64 kV, then de-Broglie wavelength associated with electron will

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  30. 30
    Starting from mean position, a body oscillates simple harmonically with a period TT. After what time will its kinetic energy be 75% of the total energy? sin⁡30∘=0.5\sin 30^{\circ}=0.5

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  31. 31
    Two solenoids of equal number of turns have their lengths as well as radii in the same ratio 1:3. The ratio of their self inductance will be

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  32. 32
    In an extrinsic n-type semiconductor, the free electrons donated by the impurity atoms occupy energy levels in

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  33. 33
    If the angular velocity of a body rotating about the given axis increases by 20%, then its kinetic energy of rotation will increase by

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  34. 34
    Two progressive waves Y1=sin⁡2π ⁣(t0.4−x4)Y_{1} = \sin 2\pi\!\left(\frac{t}{0.4}-\frac{x}{4}\right) and Y2=sin⁡2π ⁣(t0.4+x4)Y_{2} = \sin 2\pi\!\left(\frac{t}{0.4}+\frac{x}{4}\right) superpose to form a standing wave. 'tt' and 'xx' are in SI system. Amplitude of the particle at x=0.5x = 0.5 m is sin⁡45∘=cos⁡45∘=12\sin 45^{\circ}=\cos 45^{\circ}=\frac{1}{\sqrt{2}}

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  35. 35
    The strength of magnetic field at a perpendicular distance xx near a long straight conductor carrying current II is BB. The magnetic field at a distance x3\frac{x}{3} from straight conductor will be

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  36. 36
    The ratio of the areas of the electron orbits for the second excited state to the first excited state for the hydrogen atom is

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  37. 37
    Two-point charges +8q+8q and −2q-2q are located at X=0X=0 (origin) and X=LX=L respectively. The net electric field due to these two charges is zero at point P on X-axis. The location of point P from the origin is

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  38. 38
    A series L-C-R circuit containing a resistance RR has angular frequency ω\omega. At resonance the voltage across resistance and inductor are VRV_{R} and VLV_{L} respectively, then value of capacitance will be

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  39. 39
    Consider a long uniformly charged cylinder having constant volume charge density λ\lambda and radius RR. A Gaussian surface is in the form of a cylinder of radius rr such that vertical axis of both the cylinders coincide. For a point inside the cylinder (r<R)(r < R), electric field is directly proportional to

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  40. 40
    Two capillary tubes A and B of the same internal diameter are kept vertically in two different liquids whose densities are in the ratio 4:3. If the surface tensions of these two liquids are in the ratio 6:5, then the ratio of rise of liquid in capillary A to that in B is (assume their angles of contact are nearly equal)

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  41. 41
    For a transistor, current gain (β)=50(\beta) = 50. To change the collector current by 350 μA350\,\mu\text{A}, the base current should be changed by

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  42. 42
    A sheet of steel is 40 cm long and 5 cm broad at 0∘C0^{\circ}\text{C}. The surface area of the sheet increases by 1.4 cm21.4\,\text{cm}^{2} at 100∘C100^{\circ}\text{C}. Coefficient of linear expansion of steel is

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  43. 43
    When a sonometer wire vibrates in third overtone there are

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  44. 44
    Alternating current of peak value 2π\frac{2}{\pi} A flows through the primary coil of a transformer. The coefficient of mutual inductance between primary and secondary coils is 1 H. The peak e.m.f. induced in secondary coil (Frequency of a.c. =50= 50 Hz)

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  45. 45
    Three condensers of capacities C1C_{1}, C2C_{2}, C3C_{3} are connected in series with a source of e.m.f. VV. The potentials across the three condensers are in the ratio

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  46. 46
    The maximum velocity of a particle, executing S.H.M. with an amplitude 7 mm is 4.44.4 ms−1^{-1}. The period of oscillation is π=227\pi = \frac{22}{7}

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  47. 47
    A satellite of mass mm is revolving around the earth of mass MM in an orbit of radius rr with constant angular velocity ω\omega. The angular momentum of satellite is (G=G = Universal constant of gravitation)

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  48. 48
    A cell balances against a length of 150 cm on a potentiometer wire when it is shunted by a resistance of 5 Ω5\,\Omega. But when it is shunted by a resistance of 10 Ω10\,\Omega, then balancing length increases by 25 cm. The balancing length when the cell is in an open circuit is

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  49. 49
    A quantity of heat QQ is supplied to monoatomic ideal gas which expands at constant pressure. The fraction of heat converted into work is γ=Cp/Cv=5/3\gamma = C_{p}/C_{v} = 5/3

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  50. 50
    A body of mass 1 kg starts from rest and moves with uniform acceleration. In 2 seconds, its velocity is 10 m/s. The power exerted on the body in one second is

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Chemistry

50 questions

  1. 51
    How many amino acids are linked together by (n−1)(n-1) amide bonds?

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  2. 52
    What is the percentage by mass of oxygen in NaOH? (Atomic mass of Na=23u, O=16u, H=1u)

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  3. 53
    For the reaction 2NO(g)+2H2(g)⟶N2(g)+2H2O(s)2\text{NO}(g) + 2\text{H}_{2}(g) \longrightarrow \text{N}_{2}(g) + 2\text{H}_{2}\text{O}(s) rate =k[NO]2[H2]= k[\text{NO}]^{2}[\text{H}_{2}]. What is the order of reaction with respect to H2\text{H}_{2} and overall order of reaction respectively?

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  4. 54
    Identify the alloy used for construction of gas turbine engines.

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  5. 55
    Calculate the partial pressure exerted by dioxygen from a mixture of 32 g O2_2, 80 g Ar (mol. mass 40) and 4 g dihydrogen Ptotal=10P_{\text{total}} = 10 bar.

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  6. 56
    What is IUPAC name of the following compound?

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  7. 57
    Which among the following is ferromagnetic substance?

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  8. 58
    What is O–O bond length in ozone molecule?

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  9. 59
    Find the number of electrons that generate 1 coulomb charge?

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  10. 60
    Which among the following statements is NOT true about rate constant?

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  11. 61
    Calculate the oxidation number of Cr in CrO42−\text{CrO}_{4}^{2-} ion and K2Cr2O7\text{K}_{2}\text{Cr}_{2}\text{O}_{7} respectively.

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  12. 62
    Identify the monomer used to obtain a polymer that resembles the wool.

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  13. 63
    Which from following is a correct stability order of complex formed by metal ions if the ligand remains same?

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  14. 64
    Aldol condensation reaction is

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  15. 65
    What is the numerical difference in molar masses of second and third member of a homologous series?

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  16. 66
    What is the number of chiral carbon atoms present in 2-chloro-3,4-dimethylhexane?

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  17. 67
    Which of the following is a primary amine?

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  18. 68
    The Ecell∘E^\circ_{\text{cell}} of Cu(s)∣Cu(1 M)2+∥Ag(1 M)+∣Ag(s)\text{Cu}_{(s)} \mid \text{Cu}^{2+}_{(1\,M)} \parallel \text{Ag}^{+}_{(1\,M)} \mid \text{Ag}_{(s)} is 0.647 volt. Calculate the EAg∘E^\circ_{\text{Ag}} if ECu∘E^\circ_{\text{Cu}} is 0.153 V.

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  19. 69
    Conjugate acid of NH2−NH_{2}^{-}and NH3NH_{3} are respectively

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  20. 70
    Calculate the value of ΔG\Delta G for the following reaction. N2O4( g)⟶2NO2( g)N_{2}O_{4(\text{ }g)}\longrightarrow 2NO_{2(\text{ }g)} if ΔH=57.44 kJ\Delta H = 57.44\text{ }kJ and ΔS=176 J K−1 mol−1\Delta S = 176\text{ }J{\text{ }K}^{- 1}{\text{ }mol}^{- 1}.

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  21. 71
    Calculate the radius of first orbit of Li2+\text{Li}^{2+}.

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  22. 72
    Which from following polymers (trade name) is used to obtain paints?

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  23. 73
    What is the number of electrons lost by Cr in a complex Cr(CO)6\text{Cr(CO)}_{6}?

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  24. 74
    Identify the reagent 'R' used in the following reaction. Ketone →R\xrightarrow{R} Semicarbazone

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  25. 75
    Identify alkadiene molecule from following.

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  26. 76
    Identify the product obtained in the following reaction. CH3CH2Br+CH3COOAg→Δx+AgBr\text{CH}_{3}\text{CH}_{2}\text{Br} + \text{CH}_{3}\text{COOAg} \xrightarrow{\Delta} x + \text{AgBr}

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  27. 77
    Identify the reagent R used in following conversion? tert-butyl bromide →R\xrightarrow{R} Isobutylene

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  28. 78
    Calculate the mass of 'Ca' deposited at cathode by passing 0.8 ampere current through molten CaCl2_2 in 60 minutes. [Molar mass of Ca = 40 g mol−1^{-1}]

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  29. 79
    What is the expected value of ΔTf\Delta T_{f} for 1.25 m CaCl2_2 solution if 1.25 m sucrose solution has ΔTf\Delta T_{f} value ×K\times K?

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  30. 80
    Calculate Henry's law constant if solubility of gas in water at 25∘C25^{\circ}\text{C} is 5.14×10−45.14\times10^{-4} mol dm−3^{-3} and partial pressure of the gas is 0.75 bar above solution.

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  31. 81
    What is the total number of orbitals present in N shell?

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  32. 82
    What is value of percent atom economy when reactants having sum of formula weight 78 u results in the formation of a product with formula weight 65 u?

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  33. 83
    Identify the product formed in the following reaction. CH3CH2MgBr→i) dry ice/dry ether, ii) dil HCl\text{CH}_{3}\text{CH}_{2}\text{MgBr} \xrightarrow{\text{i) dry ice/dry ether, ii) dil HCl}} product

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  34. 84
    Which from following is a mineral of copper?

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  35. 85
    Identify dispersed phase and dispersion medium in fog respectively.

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  36. 86
    Ethers when dissolved in cold concentrated sulfuric acid forms,

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  37. 87
    Calculate the total volume occupied by all atoms in simple cubic unit cell if radius of atom is 3×10−83 \times 10^{-8} cm.

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  38. 88
    Under similar conditions enthalpy of freezing is exactly opposite to

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  39. 89
    A buffer solution is prepared by mixing 0.2 M NH4_4OH and 1 M NH4_4Cl. What is the pH value of buffer solution? (Give pKb=7.744\text{p}K_{b} = 7.744)

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  40. 90
    A solution of nonvolatile solute is obtained by dissolving 0.8 g in 0.3 dm3^3 water has osmotic pressure 0.2 atm at 300 K. Calculate the molar mass of solute. R=0.082R = 0.082 atm dm3^3 K−1^{-1} mol−1^{-1}

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  41. 91
    Which of the following molecules is an example of spsp hybridization?

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  42. 92
    A first order reaction takes 40 minute for 20% decomposition. Calculate its rate constant.

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  43. 93
    What is the number of moles of water molecules present in a mole of carnallite?

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  44. 94
    What is the number of amino acids present in single turn of α\alpha-helix of protein?

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  45. 95
    Which from following compounds is obtained as by product in synthesis of sodium carbonate by Solvay process?

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  46. 96
    Which of the following compounds is NOT a phenol?

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  47. 97
    A compound is formed by two elements A and B. The atoms of element B form ccp structure. The atoms of A occupy 13\frac{1}{3} of tetrahedral voids. What is the formula of the compound?

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  48. 98
    Which of the following isomers of C4_4H9_9Br is a chiral molecule?

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  49. 99
    The dissociation constant of a weak monobasic acid is 3.2×10−43.2\times10^{-4}. Calculate the degree of dissociation in its 0.04 M solution.

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  50. 100
    100 ml of H2_2(g) and 100 ml of Cl2_2(g) were allowed to react at 1 bar pressure as H2_2(g) + Cl2_2(g) ⟶\longrightarrow 2HCl(g). What will be the PV type of work done during reaction?

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