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MHT-CET 2023 (3 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 ball 'A' is projected vertically upwards with certain initial speed. Another ball 'B' of same mass is projected at an angle of 30∘30^\circ with vertical with the same initial speed. At the highest point, the ratio of potential energy of ball A to that of ball B will be [sin⁡90∘=1, sin⁡60∘=cos⁡30∘=32, sin⁡30∘=cos⁡60∘=12\sin 90^\circ=1,\ \sin 60^\circ=\cos 30^\circ=\frac{\sqrt{3}}{2},\ \sin 30^\circ=\cos 60^\circ=\frac{1}{2}]

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  2. 2
    A small sphere oscillates simple harmonically in a watch glass whose radius of curvature is 1.6 m. The period of oscillation of the sphere in second is (acceleration due to gravity, g=10 m/s2g=10\ \text{m/s}^2)

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  3. 3
    The path difference between two waves Y1=a1sin⁡ ⁣(ωt−2πxλ)Y_1=a_1\sin\!\left(\omega t-\frac{2\pi x}{\lambda}\right) and Y2=a2cos⁡ ⁣(ωt−2πxλ+ϕ)Y_2=a_2\cos\!\left(\omega t-\frac{2\pi x}{\lambda}+\phi\right) is

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  4. 4
    Two equal point charges 'q' each exert a force 'F' on each other, when they are placed distance 'x' apart in air. When the same charges are placed distance 'y' apart in a medium of dielectric constant 'k', they exert the same force. The ratio of distance 'y' to 'x' is equal to

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  5. 5
    An alternating voltage v=2002sin⁡(100t)v=200\sqrt{2}\sin(100t) is connected to a 1 μF1\,\mu\text{F} capacitor through an a.c. ammeter. The reading of the ammeter shall be

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  6. 6
    Three charges 2q, −q2q,\ -q and −q-q are located at the vertices of an equilateral triangle. At the centre of the triangle

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  7. 7
    A gardening pipe having an internal radius 'R' is connected to a water sprinkler having 'n' holes each of radius 'r'. The water in the pipe has a speed 'v'. The speed of water leaving the sprinkler is

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  8. 8
    A magnetic needle of magnetic moment 6×10−2 Am26\times10^{-2}\ \text{Am}^2 and moment of inertia 9.6×10−5 kg m29.6\times10^{-5}\ \text{kg m}^2 performs simple harmonic motion in a magnetic field of 0.01 T. Time taken to complete 10 oscillations is [Take π=3.14\pi=3.14]

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  9. 9
    In case of rotational dynamics, which one of the following statements is correct? [ω=\omega= angular velocity, v=v= linear velocity, r=r= radius vector, α=\alpha= angular acceleration, a=a= linear acceleration, L=L= angular momentum, p=p= linear momentum, τ=\tau= torque, f=f= centripetal force]

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  10. 10
    A convex lens of focal length 'f' m forms a real, inverted image twice in size of the object. The object distance from the lens in metre is

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  11. 11
    The ratio of the wavelength of a photon of energy 'E' to that of the electron of same energy is (m=m= mass of an electron, c=c= speed of light, h=h= Planck's constant)

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  12. 12
    The r.m.s. velocity of hydrogen at S.T.P. is 'u' m/s. If the gas is heated at constant pressure till its volume becomes three times, then the final temperature of the gas and the r.m.s. speed are respectively

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  13. 13
    The distance of the two planets A and B from the sun are rAr_A and rBr_B respectively. Also rB=100rAr_B=100r_A. If the orbital speed of the planet A is 'v' then the orbital speed of the planet B is

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  14. 14
    A tube of uniform bore of cross-sectional area 'A' has been set up vertically with open end facing up. Now 'M' gram of a liquid of density 'd' is poured into it. The column of liquid in this tube will oscillate with a period 'T', which is equal to [g=g= acceleration due to gravity]

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  15. 15
    An n-p-n transistor can be considered to be equivalent to two diodes connected. The correct figure out of the following is

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  16. 16
    The fundamental frequency of an air column in a pipe open at both ends is 'f1f_1'. Now 80% of its length is immersed in water, the fundamental frequency of the air column becomes f2f_2. The ratio of f1:f2f_1:f_2 is

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  17. 17
    Earth has mass 'M1M_1' radius 'R1R_1' and for moon mass 'M2M_2' and radius 'R2R_2'. Distance between their centres is 'r'. A body of mass 'M' is placed on the line joining them at a distance r3\frac{r}{3} from the centre of the earth. To project a mass 'M' to escape to infinity, the minimum speed required is

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  18. 18
    In an interference experiment, the nnth bright fringe for light of wavelength λ1\lambda_1 coincides with the mmth dark fringe for light of wavelength λ2\lambda_2. The ratio λ1λ2\frac{\lambda_1}{\lambda_2} is

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  19. 19
    Three inductances are connected as shown in figure. The equivalent inductance is

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  20. 20
    There are two samples A and B of a certain gas, initially at the same temperature and pressure. Both are compressed from volume VV to V2\frac{V}{2}. Sample A is compressed isothermally while sample B is compressed adiabatically. The final pressure of A is

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  21. 21
    A single slit diffraction pattern is formed with light of wavelength 6195 Å. The second secondary maximum for this wavelength coincides with the third secondary maximum in the pattern for light of wavelength 'λ0\lambda_0'. The value of 'λ0\lambda_0' is

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  22. 22
    Two rods, one of aluminium and the other of steel, having initial lengths 'L1L_1' and 'L2L_2' are connected together. The coefficients of linear expansion of aluminium and steel are 'α1\alpha_1' and 'α2\alpha_2' respectively. If the length of each rod increases by the same amount when their temperatures are raised by t∘Ct^\circ\text{C}, then the ratio L1L1+L2\frac{L_1}{L_1+L_2} will be

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  23. 23
    In an a.c. generator, when the plane of the coil is perpendicular to the magnetic field

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  24. 24
    Two circular metal plates each of radius rr are kept parallel to each other at a distance dd apart. The capacitance of the capacitor formed is C1C_1. If the radius of each plate is increased to 2\sqrt{2} times the earlier radius and their separation is decreased to half the initial value, the capacitance becomes C2C_2. The ratio of the capacitances C1:C2C_1 : C_2 is

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  25. 25
    Ratio of radius of gyration of a circular disc to that of circular ring each of same mass and radius around their respective axes is

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  26. 26
    In an AC circuit E=200sin⁡(50t)E=200\sin(50t) volt and I=100sin⁡ ⁣(50t+π3)I=100\sin\!\left(50t+\frac{\pi}{3}\right) mA. The power dissipated in the circuit is [sin⁡30∘=0.5, sin⁡60∘=32\sin30^\circ=0.5,\ \sin60^\circ=\frac{\sqrt{3}}{2}]

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  27. 27
    In the following circuit, a power of 50 watt is absorbed in the section AB of the circuit. The value of resistance 'x' is

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  28. 28
    A ray of light is incident at 60∘60^\circ on one face of a prism of angle 30∘30^\circ and the emergent ray makes 30∘30^\circ with the incident ray. The refractive index of the prism is [sin⁡30∘=0.5, sin⁡60∘=32\sin30^\circ=0.5,\ \sin60^\circ=\frac{\sqrt{3}}{2}]

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  29. 29
    Given that 'x' joule of heat is incident on a body. Out of that, total heat reflected and transmitted is 'y' joule. The absorption coefficient of body is

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  30. 30
    In the uranium radioactive series, the initial nucleus is 92238U_{92}^{238}\text{U} and the final nucleus is 82206Pb_{82}^{206}\text{Pb}. The number of α\alpha-particles and β\beta-particles emitted are

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  31. 31
    When photons of energy hvhv fall on a photosensitive surface of work function E0E_0, photoelectrons of maximum energy kk are emitted. If the frequency of radiation is doubled the maximum kinetic energy will be equal to

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  32. 32
    The pressure inside two soap bubbles, (A) is 1.01 and that of (B) is 1.02 atmosphere respectively. The ratio of their respective radii (A to B) is (outside pressure =1=1 atm.)

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  33. 33
    The pitch of a whistle of an engine appears to drop by 30% of original value when it passes a stationary observer. If the speed of sound in air is 350 ms−1350\ \text{ms}^{-1}, then the speed of engine in ms−1\text{ms}^{-1} is

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  34. 34
    A transformer having efficiency 90% is working on 200 V and 3 kW power supply. If the current in the secondary coil is 6 A, the voltage across the secondary coil and the current in the primary coil are respectively

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  35. 35
    A diatomic ideal gas is used in Carnot engine. If during adiabatic expansion volume increases from VV to 32V32V, the efficiency of the engine is

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  36. 36
    The range of voltmeter of resistance 'GG' Ω\Omega is 'VV' volt. The resistance required to be connected in series to convert it to range 'nVnV' volt is

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  37. 37
    Find the magnitude of current in the given circuit.

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  38. 38
    An inductance coil has a resistance of 80 Ω80\ \Omega. When an AC signal of frequency 480 Hz is applied, the voltage leads the current by 45∘45^\circ. The inductance of the coil in henry is

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  39. 39
    The displacement of a wave is given by y=0.002sin⁡(100t+x)y=0.002\sin(100t+x) where 'x' and 'y' are in metre and 't' is in second. This represents a wave

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  40. 40
    A current of 5 A flows through a toroid having a core of mean radius 20 cm. If 4000 turns are wound on the core, then the magnetic field inside the core is [μ0=4π×10−7 SI\mu_0=4\pi\times10^{-7}\ \text{SI}]

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  41. 41
    A metal ball of radius 9×10−4 m9\times10^{-4}\ \text{m} and density 104 kg/m310^4\ \text{kg/m}^3 falls through distance 'h' and enters a tank of water at terminal velocity. The value of h is [η=8.1×10−4 Pa s\eta=8.1\times10^{-4}\ \text{Pa s}, g=10 m/s2g=10\ \text{m/s}^2, ρw=103 kg/m3\rho_w=10^3\ \text{kg/m}^3]

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  42. 42
    When wave fronts pass from denser medium to rarer medium, the width of the wave front

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  43. 43
    The relation between total magnetic field (B), magnetic intensity (H), permeability of free space μ0\mu_0 and susceptibility (χ)(\chi) is

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  44. 44
    In common emitter transistor amplifier, load resistance is 6.5 kΩ6.5\ \text{k}\Omega and input resistance is 1.3 kΩ1.3\ \text{k}\Omega. If current gain is 78, the voltage gain is

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  45. 45
    A particle having charge 50e is revolving in a circular path of radius 0.4 m with 1 r.p.s. The magnetic field produced at the centre is [μ0=4π×10−7, e=1.6×10−19 C\mu_0=4\pi\times10^{-7},\ e=1.6\times10^{-19}\ \text{C}]

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  46. 46
    Two blocks of masses 6 kg and 4 kg are placed in contact on a smooth surface. If a force of 5 N is applied on the heavier block, the force on the lighter block is

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  47. 47
    Two circular loops P and Q of radii 'r' and 'nr' are made from the same wire. Moment of inertia of Q is four times that of P about respective axes. The value of 'n' is

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  48. 48
    Two spherical black bodies of radii 'R1R_1' and 'R2R_2' and temperatures 'T1T_1' and 'T2T_2' radiate the same power. The ratio 'R1R_1' to 'R2R_2' will be

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  49. 49
    If 'λ1\lambda_1' and 'λ2\lambda_2' are the wavelengths of the first line of the Lyman and Paschen series respectively, then λ2:λ1\lambda_2:\lambda_1 is

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  50. 50
    An electric dipole of moment P is lying along a uniform electric field E. The work done in rotating the dipole through π3\frac{\pi}{3} is [sin⁡30∘=0.5, cos⁡30∘=32\sin30^\circ=0.5,\ \cos30^\circ=\frac{\sqrt{3}}{2}]

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Chemistry

50 questions

  1. 51
    A solution of non-volatile solute has boiling point elevation 1.75 K. Calculate molality of solution [Kb=3.5 K kg mol−1K_b=3.5\ \text{K kg mol}^{-1}]

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  2. 52
    Which from following metal ions in their respective oxidation states forms coloured compound?

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  3. 53
    Calculate the density of an element having molar mass 63 g mol−163\ \text{g mol}^{-1} that forms fcc structure [a3×NA=28 cm3 mol−1a^3\times N_A=28\ \text{cm}^3\ \text{mol}^{-1}]

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  4. 54
    Which from following groups is selected as principal functional group for nomenclature of a polyfunctional compound according to IUPAC system?

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  5. 55
    Identify the structure of XeF4\text{XeF}_4 molecule from following.

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  6. 56
    Calculate [H3O+][\text{H}_3\text{O}^+] in 0.02 M solution of monobasic acid if dissociation constant is 1.8×10−51.8\times10^{-5}.

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  7. 57
    Which from following statements is NOT true according to principles of green chemistry?

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  8. 58
    The molar conductivity of 0.02 M KCl solution is 410 Ω−1 cm2 mol−1410\ \Omega^{-1}\ \text{cm}^2\ \text{mol}^{-1} at 25∘C25^\circ\text{C}. Calculate its conductivity.

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  9. 59
    What is the coordination number of a particle in hcp structure?

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  10. 60
    Identify essential amino acid from following.

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  11. 61
    Identify the formula of pentaaquaisothiocyanatoiron(III) ion from following.

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  12. 62
    If bond formation energy of H-H bond is −433 kJ mol−1-433\ \text{kJ mol}^{-1}, find the bond dissociation energy for 0.5 mole H2\text{H}_2(g)

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  13. 63
    Identify homopolymer from following.

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  14. 64
    Which from following molecules has two lone pair of electrons in valence shell of its central atom?

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  15. 65
    Identify the product 'B' in the following sequence of reactions. Propanone →Ba(OH)2A→Δ,−H2OB\xrightarrow{\text{Ba(OH)}_2} A \xrightarrow{\Delta,-\text{H}_2\text{O}} B

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  16. 66
    What time is required for 100 g of reactant to reduce to 25 g in a first order reaction having half-life 5760 year?

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  17. 67
    What is the value of standard enthalpy of formation of dihydrogen?

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  18. 68
    What is the amount of energy associated with first orbit of monopositive helium ion? [RH=2.18×10−18 JR_H=2.18\times10^{-18}\ \text{J}]

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  19. 69
    Which of the following statements is correct about zero order reaction?

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  20. 70
    Calculate Gibbs energy change for a reaction having ΔH=31400 J, ΔS=32 J K−1\Delta H=31400\ \text{J},\ \Delta S=32\ \text{J K}^{-1} at 1000∘C1000^\circ\text{C}.

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  21. 71
    Identify the substrate 'S' in the following reaction involving nucleophilic aromatic substitution.

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  22. 72
    Which from following is an example of multimolecular colloids?

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  23. 73
    Which of the following is secondary benzylic alcohol?

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  24. 74
    Identify the reagent 'R' used in the following reaction: Benzoyl chloride →R\xrightarrow{R} Benzaldehyde

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  25. 75
    What is the representation of an element having mass number of 40 and 21 neutrons in it?

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  26. 76
    How many moles of dioxygen are present in 8.314×10−3 m38.314\times10^{-3}\ \text{m}^3 of it at 318 K having pressure 3.18×105 Nm−23.18\times10^5\ \text{Nm}^{-2}? [R=8.314 J K−1 mol−1R=8.314\ \text{J K}^{-1}\ \text{mol}^{-1}]

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  27. 77
    Which of the following compounds has difficulty in breaking the C-Cl bond?

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  28. 78
    Identify the alkene obtained as major product in the following Hofmann elimination reaction. C3H7N+(C2H5)3 I−→moist Ag2O/ΔA→Δ,−H2O\text{C}_3\text{H}_7\overset{+}{N}(\text{C}_2\text{H}_5)_3\ \text{I}^-\xrightarrow{\text{moist Ag}_2\text{O}/\Delta} A\xrightarrow{\Delta,-\text{H}_2\text{O}} Alkene + Amine

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  29. 79
    Calculate the amount of electricity required to convert 1.1 mol of Cr2O72−\text{Cr}_2\text{O}_7^{2-} to Cr3+\text{Cr}^{3+} in acidic medium.

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  30. 80
    Which of the following on reaction with Grignard reagent followed by hydrolysis forms secondary alcohol?

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  31. 81
    Which of the following compounds does not undergo haloform reaction?

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  32. 82
    Which from following properties is NOT identical for Enantiomers?

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  33. 83
    Which from following combinations represents water gas?

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  34. 84
    Which from the following statements is correct for aqueous solution of 6 g L−16\ \text{g L}^{-1} urea and 17.12 g L−117.12\ \text{g L}^{-1} of sucrose? [Molar mass: urea =60 g mol−1=60\ \text{g mol}^{-1}, sucrose =342 g mol−1=342\ \text{g mol}^{-1}]

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  35. 85
    Identify the element with lowest electronegativity.

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  36. 86
    Calculate the volume occupied by all atoms in bcc unit cell if the volume of unit cell is 1.5×10−22 cm31.5\times10^{-22}\ \text{cm}^3.

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  37. 87
    What is the number of electrons present in 3d orbital of Ti in +2 state?

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  38. 88
    Identify molecular formula of laevulose.

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  39. 89
    Which of the following pair of compounds does not demonstrate the law of multiple proportions?

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  40. 90
    What is the coordination number of central metal ion in [Fe(C2O4)3]3−[\text{Fe}(\text{C}_2\text{O}_4)_3]^{3-}?

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  41. 91
    Which from following polymers is obtained by ring opening polymerisation method?

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  42. 92
    What is IUPAC name of propylene glycerol?

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  43. 93
    Which of the following equations represents the relation between solubility and solubility product for salt BA3\text{BA}_3?

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  44. 94
    Which of the following catalysts is used to convert −C≡C−-\text{C}\equiv\text{C}- to form cis-alkene?

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  45. 95
    For a reaction, 2N2O5(g)⟶4NO2(g)+O2(g)2\text{N}_2\text{O}_5(g)\longrightarrow4\text{NO}_2(g)+\text{O}_2(g), N2O5\text{N}_2\text{O}_5 disappears at a rate of 0.06 mol dm−3 s−10.06\ \text{mol dm}^{-3}\ \text{s}^{-1}. What is rate of NO2(g)\text{NO}_2(g) formation?

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  46. 96
    Calculate the molar mass of nonvolatile solute when 1.5 g of it is dissolved in 90 g solvent decreases its freezing point by 0.25 K. [Kf=1.2 K kg mol−1K_f=1.2\ \text{K kg mol}^{-1}]

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  47. 97
    Which of the following does not have intermolecular hydrogen bonding?

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  48. 98
    Which of the following statements is NOT correct for H2-O2\text{H}_2\text{-O}_2 fuel cell?

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  49. 99
    Identify the element reduced in following reaction. Cr2O72−+14H++6I−⟶2Cr3++3H2O+3I2\text{Cr}_2\text{O}_7^{2-}+14\text{H}^++6\text{I}^-\longrightarrow2\text{Cr}^{3+}+3\text{H}_2\text{O}+3\text{I}_2

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  50. 100
    Calculate the pH of buffer solution containing 0.027 M weak acid and 0.054 M of its salt with strong base if pKapK_a is 4.2.

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