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MHT-CET 2025 (20 April Shift II), 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
    Two raindrops reach the earth with different terminal velocities having the ratio 9:4. The ratio of their volumes is

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  2. 2
    The reading of the ammeter in the following circuit is

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  3. 3
    A wheel initially at rest, begins to rotate about its axis with constant angular acceleration. If it rotates through an angle θ1\theta_{1} in first 2 s and a further angle θ2\theta_{2} in the next 2 s , the ratio θ1:θ2\theta_{1}:\theta_{2} is

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  4. 4
    The density of a cube is measured by measuring its mass and length of its sides. The % error in the measurement of mass and length are 5%5\% and 6%6\% respectively. The percentage error in the measurement of density is

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  5. 5
    A mass attached to a spring performs S.H.M. whose displacement is x=3×10−3cos⁡2πtx = 3 \times10^{- 3}\cos2\pi t metre. The time taken to obtain maximum speed for the. first time is

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  6. 6
    If a gas is compressed isothermally then the r.m.s. velocity of its molecules

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  7. 7
    Three vectors are expressed as a→=4i^−j^,b→=−3i^+2j^\overrightarrow{a}= 4\widehat{i}-\widehat{j},\overrightarrow{b}= - 3\widehat{i}+ 2\widehat{j} and c→=−k^\overrightarrow{c}= -\widehat{k}. The unit vector along the direction of sum of these vectors is

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  8. 8
    Four polaroid are placed such that the optic axis of each is inclined at an angle of 30∘30^{\circ} the optic axis of the preceding one. If unpolarised light of intensity ' I0I_{0} ' falls on the first polaroid, the intensity of light transmitted from the fourth polaroid is [cos⁡30∘=32]\left\lbrack \cos30^{\circ}=\frac{\sqrt{3}}{2} \right\rbrack

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  9. 9
    Two bodies A and B move in same straight line starting from same position. Body moves with constant velocity ' uu ' and body B moves with constant acceleration ' aa '. When their velocities become equal, the distance between them is

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  10. 10
    The ratio of angular momentum of an electron in nth n^{\text{th~}} orbit of hydrogen atom to the velocity of electron in nth n^{\text{th~}} orbit is proportional to

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  11. 11
    An element Δl→=Δxi^\overrightarrow{\Delta l}= \Delta x\widehat{i} is placed at the origin and carries a current of 10 A . The magnitude of magnetic field on the Y axis at a distance of 0.5 m if Δx=1 cm\Delta x = 1\text{ }cm is (μo4π=10−7\left( \frac{\mu_{o}}{4\pi}=10^{- 7} \right. SI unit )(sin⁡90∘=1))\left( \sin90^{\circ}= 1 \right)

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  12. 12
    In an n-p-n transistor amplifier, the collector current is 9 mA . If 90%90\% of the electrons emitted reach the collector, then

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  13. 13
    The closed and open organ pipe have same length and when they are vibrating simultaneously in first overtone produce 3 beats. The length of open pipe is made (13)rd \left( \frac{1}{3} \right)^{\text{rd~}} and that of closed pipe is made 3 times the original, the number of beats produced will be (Neglect end correction)

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  14. 14
    The following graph represents the radiant power versus wavelength of the black body. The area under the curve represents

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  15. 15
    An a.c. e.m.f. of peak value =230 V= 230\text{ }V and frequency 50 Hz is connected to a circuit with R=11.5Ω, L=2.5HR = 11.5\Omega,\text{ }L = 2.5H and a capacitor all in series. The value of capacitance is ' CC ' for the current in the circuit to be maximum. The value of C and maximum current are respectively ( π2=10\pi^{2}= 10 ).

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  16. 16
    The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become

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  17. 17
    A simple pendulum with bob of mass mm and conducting wire of length L swings under gravity through an angle θ\theta. The component of earth's magnetic field in the direction perpendicular to swing is B . Maximum e.m.f. induced across the pendulum is ( g=g = acceleration due to gravity)

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  18. 18
    In a cyclic process, work done by the system is

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  19. 19
    A metal sphere cools at a rate of 1.5∘C/min1.5^{\circ}C/min when its temperature is 80∘C80^{\circ}C. When the temperature of the sphere is 40∘C40^{\circ}C, its rate of cooling is 0.3∘C/min0.3^{\circ}C/min. The temperature of the surrounding (θ0)\left( \theta_{0} \right) is

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  20. 20
    The resultant logic gate from the combination of following gates is

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  21. 21
    A force acting on a body of mass 5 Kg is (4i^−2j^+3k^)N(4\widehat{i}- 2\widehat{j}+ 3\widehat{k})N. If the body is initially at rest then the magnitude of its velocity at the end of 10 second in m/sm/s will be

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  22. 22
    The length of closed and open pipe is same. The ratio of frequency of nth n^{\text{th~}} overtone for closed pipe to that of open pipe is (Neglect end correction)

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  23. 23
    An e.m.f. e=E0cos⁡ωte =E_{0}\cos\omega t is applied to a circuit containing L,CL,C and R in series where XL=3RX_{L}= 3R and XC=RX_{C}= R. The average power dissipated in the circuit is

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  24. 24
    The temperature of an air bubble while rising from bottom to surface of a lake remains constant but diameter is doubled. If pressure on the surface is h meter of mercury column and relative density of mercury is ' ρ\rho ' then the depth of the lake is

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  25. 25
    The apparent wavelength of light from a star moving away from the earth is 0.02%0.02\% more than the actual wavelength. The velocity of star is [ c=c= velocity of light =3×108 m/s= 3 \times10^{8}\text{ }m/s ]

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  26. 26
    A parallel plate air capacitor has capacitance CPC_{P}. It is equally filled with parallel layers of materials of dielectric constants K1K_{1} and K2K_{2}. Now its capacity becomes CKC_{K}. The ratio CPC_{P} to CKC_{K} is

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  27. 27
    The change in the internal energy of the mass of gas, when the volume changes from V to 2 V at constant pressure P is (γ=CpCv)\left( \gamma=\frac{Cp}{Cv} \right)

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  28. 28
    If the length of the potentiometer wire is increased by keeping constant potential difference across the wire, then

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  29. 29
    A solid sphere rolling without friction on a horizontal surface with a constant speed of 2 m/s2\,m/s, rolls up on an inclined ramp which is inclined at 30∘30^{\circ}. The maximum distance travelled by the sphere on the inclined ramp is (acceleration due to gravity g=10 m/s2,sin⁡30∘=12g = 10\,m/s^{2}, \sin 30^{\circ} = \frac{1}{2})

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  30. 30
    In Young's double slit experiment with monochromatic light of wavelength 600 nm , the distance between the slits is 10−3 m10^{- 3}\text{ }m. For changing the fringe width by 3×10−5 m3 \times10^{- 5}\text{ }m (A) the screen is moved away from the slit by 5 cm . (B) the screen is moved 5 cm towards the slits. (C) the screen is moved 3 cm towards the slits. (D) the screen is moved away from the slits by 3 cm .

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  31. 31
    An achromatic convergent doublet of two lenses in contact has a power +2 D . The convex lens has power + 5D. The ratio of the dispersive powers of the convergent and divergent lenses is (in magnitude)

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  32. 32
    Two bar magnets A and B are geometrically similar, but the magnetic moment of A is twice that of B.T1B.T_{1} is the time period of oscillation when their like poles are kept together. When unlike poles are kept together, the time period of oscillation is T2T_{2}. The ratio T1:T2T_{1}:T_{2} will be

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  33. 33
    A particle executes a linear S.H.M. In two of its positions the velocities are V1,V2V_{1},V_{2} and accelerations are a1a_{1} and a2a_{2} respectively (0<a1<a2)\left( 0 <a_{1}<a_{2} \right). The distance between the positions is

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  34. 34
    An ideal transformer converts 220 a.c. to 3.3 kV a.c. to transmit a power of 4.4 kW . If primary coil has 600 turns then alternating current in secondary coil is

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  35. 35
    Only 4%4\% of the total current in the circuit passes through a galvanometer. If the resistance of the galvanometer is G , then the shunt resistance connected to the galvanometer is

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  36. 36
    In hydrogen atom spectrum, when an electron jumps from second excited state to the first excited state, the wavelength of radiation emitted is ' λ\lambda '. If the electron jumps from the third excited state to the second orbit, the wavelength of radiation emitted will be 20λx\frac{20\lambda}{x}. The value of xx is

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  37. 37
    A hollow cylinder has a charge ' qq ' coulomb within it. If ' ϕ\phi ' is the electric flux in unit of V-m associated with the curved surface CC, the flux linked with the plane surface ' AA ' in unit of V-m will be [ε0=\left\lbrack \varepsilon_{0}= \right. permittivity of free space]

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  38. 38
    A mass xx gram is suspended from a light spring. It is pulled in downward direction and released so that mass performs S.H.M. of period T. If mass is increased by Y gram, the period becomes 4 T3\frac{4\text{ }T}{3}. The ratio of Y/xY/x is

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  39. 39
    Three inductances are connected as shown in the figure. The equivalent inductance between A and B is

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  40. 40
    A disc of mass ' mm ' and radius ' rr ' rolls down an inclined plane of height ' hh '. When it reaches the bottom of the plane, its rotational kinetic energy is ( g=g = acceleration due to gravity)

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  41. 41
    The frequency of a stretched uniform wire of length L under tension is in resonance with the fundamental frequency of a closed pipe of same length. If the tension in the wire is increased by 8 N , it is in resonance with the first overtone of the same closed pipe. The initial tension in the wire is

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  42. 42
    In the following circuit shown in figure, three diodes are connected each with forward resistance 40Ω40\Omega and infinite backward resistance. The current through 100Ω100\Omega resistance is

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  43. 43
    Three concentric charged metallic spherical sheets A,BA,B and C have radii a,b,ca,b,c potentials VAV_{A}, VB,VCV_{B},V_{C} and charge densities +σ,−σ+\sigma, -\sigma and +σ+\sigma respectively. The value of potential VAV_{A} is ( ε0=\varepsilon_{0}= permittivity of free space)

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  44. 44
    On a photosensitive material, when frequency of incident radiation is increased by 20%20\%, maximum kinetic energy of emitted photoelectrons increases from 0.4 eV to 0.7 eV . The work function of the material is

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  45. 45
    A parallel plate capacitor with plate area A and plate separation d is charged by constant current I. A plane surface of area A2\frac{A}{2}, parallel to the plates is drawn simultaneously between the plates. The displacement current through this area is

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  46. 46
    A liquid drop having surface energy EE is sprayed into 512 droplets of same size. The final surface energy is

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  47. 47
    A ray of light of intensity ' II ' is incident on a parallel glass slab at a point ' AA ' as shown in figure. It undergoes partial reflection and refraction. At each reflection 25%25\% of incident energy is reflected. The rays AB and AB′AB^{'} undergo interference. The ratio Imax Imin \frac{I_{\text{max~}}}{I_{\text{min~}}} is

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  48. 48
    A current ' II ' is flowing in a conductor PQRSTPQRST as shown in figure. The radius of curved path QRS is ' R ' and length of straight portion PQ and ST is very large. The magnetic field at the centre [O]\lbrack O\rbrack of the curved part is ( μ0=\mu_{0}= permeability of free space)

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  49. 49
    A light of wavelength λ\lambda is incident on a photosensitive surface of negligible work function. The photoelectrons emitted from the surface have de-Broglie wavelength λ1\lambda_{1}. Then ratio λ:λ1 2\lambda:\lambda_{1}\ ^{2} is ( h=h = Planck's constant, c=c = velocity of light, m=m = mass of electron)

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  50. 50
    Pure water rises through a height hh in a capillary tube of internal radius rr. Surface tension of water is T . The pressure difference between the water level in the container and the lowest point of the concave meniscus is

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Chemistry

50 questions

  1. 51
    Assume the cell reaction, A(s)+B(aq)+2⟶ A(aq)+2+B(s)A_{(s)}+B_{(aq)}^{+ 2}\longrightarrow{\text{ }A}_{(aq)}^{+ 2}+B_{(s)}if ΔG∘=−386 kJ\Delta G^{\circ}= - 386\text{ }kJ at 298 K . What is Ecell 0E_{\text{cell~}}^{0} ?

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  2. 52
    Calculate the volume occupied by a particle in bcc unit cell if the volume of unit cell is 8.2×10−23 cm38.2 \times 10^{-23}\ \text{cm}^3.

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  3. 53
    Identify the name of reaction for aryl halide with alkyl halide and sodium metal in dry ether to give substituted aromatic compounds.

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  4. 54
    Which among the following compounds forms pink colouration on addition of Schiff's reagent?

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  5. 55
    Calculate work done if 1 mole of an ideal gas compressed isothermally and reversibly from 12 dm3dm^{3} to 6dm36dm^{3} at 300 K . [ R=8.314JK−1 mol−1R = 8.314JK^{- 1}{\text{ }mol}^{- 1} ]

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  6. 56
    Calculate the number of unit cells in 1 cm31\ \text{cm}^3 volume of an element if unit cell edge length is 4.0×10−8 cm4.0 \times 10^{-8}\ \text{cm}.

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  7. 57
    Which from following compounds contains complex cations and anions?

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  8. 58
    If concentration of reactant ' A ' is increased by 10 times, rate of reaction increases 100 times. What is order of reaction if rate law is =k[A]x=k\lbrack A\rbrack^{x} ?

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  9. 59
    Which from following lanthanoids exhibits +4 oxidation state in f7f^{7} configuration?

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  10. 60
    Which among the following salts turns red litmus blue in its aqueous solution?

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  11. 61
    A container consisting mixture of 28 g N2,8 gHe28\text{ }g{\text{ }N}_{2},8\text{ }gHe and 40 g Ne at 25∘C25^{\circ}C. If the total pressure exerted by the gaseous mixture is 20 bar, what is the partial pressure exerted by N2N_{2} ?

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  12. 62
    Select the incorrect statement about N2N_{2} molecule.

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  13. 63
    Identify the correct decreasing order of boiling point for hydrides of halogens.

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  14. 64
    Find out number of carbon atoms present in 0.35 mole of glucose.

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  15. 65
    Find the expected value of ΔTb\Delta T_{b} for 1 m AlCl3AlCl_{3} solution in water if solution of nonelectrolyte of same concentration has ΔTb\Delta T_{b} value 'xx' K.

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  16. 66
    Which of the following change takes place at positive electrode during working of dry cell?

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  17. 67
    4 gram of NaOH is added in water to form 500 mL solution at 298 K . What is pH of solution? (Molar mass of NaOH=40 g mol−1NaOH = 40\text{ }g{\text{ }mol}^{- 1})

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  18. 68
    A compound contains atoms of x,yx,y and zz elements. Oxidation numbers of x,yx,y and zz are +3 , +5 and -2 respectively. Identify the possible formula of this compound.

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  19. 69
    Which of the following compound is used for preparation of quicklime?

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  20. 70
    Which from following gases is adsorbed to greater extent if adsorbent remains same at similar conditions of temperature and pressure?

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  21. 71
    Which of the following is effectively used to remove E. coli bacteria from water?

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  22. 72
    What is order and molecularity of following reaction?
    NO2(g)+NO2(g)⟶2NO(g)+O2(g)NO_{2(g)}+NO_{2(g)}\longrightarrow 2NO_{(g)}+O_{2(g)}

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  23. 73
    The solubility of salt BA2BA_{2} is ×10−4 moldm−3\times10^{- 4}\text{ }moldm^{- 3}. What is solubility product of the salt?

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  24. 74
    Which among the following compounds has lowest boiling point?

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  25. 75
    What is shape of BrF5BrF_{5} molecule?

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  26. 76
    The correct order of reactivity for reaction involving cleavage of C-X. bond in following compounds is (I) (II) (III)

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  27. 77
    Which from following is a strong field ligand?

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  28. 78
    Calculate vapour pressure of pure volatile liquid BB at given temperature if mole faction of liquid BB and vapour pressure of pure volatile liquid A are 0.4 and 400 mm Hg respectively.
    [Ptotal =600 mmHg]\left\lbrack P_{\text{total~}}= 600\text{ }mmHg \right\rbrack

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  29. 79
    Identify the monomer used in preparation of polyacrylonitrile.

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  30. 80
    Identify the product ' B ' in following reaction. Ethanal → dil NaOHA→H2OΔB\xrightarrow{\text{~dil~}NaOH}A\xrightarrow[H_{2}O]{\mathrm{\Delta}}B

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  31. 81
    What are the positions of ' N ' atoms present in pyrimidine ring of nucleic acids?

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  32. 82
    Identify the major product obtained when anisole reacts with bromine in acetic acid.

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  33. 83
    Calculate the molality of nonvolatile solution if solution freezes at −0.95∘C-0.95^{\circ}C [Kf\left\lbrack K_{f} \right. for water, =1.86 K mol−1= 1.86\text{ }K{\text{ }mol}^{- 1}, freezing point of water =0∘C=0^{\circ}C ]

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  34. 84
    Which from following is the most stable species?

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  35. 85
    Half-life of a first order reaction is 3 minute. What is the time required to reduce the concentration of reactant by 90%90\% of its initial concentration?

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  36. 86
    Identify neutral amino acid from following list represented by three letter symbols.

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  37. 87
    Which from following statement is correct regarding emf of cell for the cell reaction, Cd(s)+Cu(aq)+2⟶Cd(aq)+2+Cu(s)Cd_{(s)}+Cu_{(aq)}^{+ 2}\longrightarrow Cd_{(aq)}^{+ 2}+Cu_{(s)}. if concentration of Cd+2Cd^{+ 2} is 10 times greater than concentration of Cu(aq)+2Cu_{(aq)}^{+ 2} at 298 K .

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  38. 88
    Which from following polymers when blended with cotton develops terycot?

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  39. 89
    Which from following compounds is an example of secondary amine ?

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  40. 90
    Which cation from following develops least magnetic moment?

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  41. 91
    Identify false statement regarding aspirin.

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  42. 92
    Which from following compounds has highest boiling point?

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  43. 93
    Which of the following dopants is used in. germanium to form n-type semiconductor?

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  44. 94
    Identify from following physical transformations that exhibits decrease in entropy.

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  45. 95
    "No two electrons in an atom can have the identical set of four quantum numbers." The statement is known as

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  46. 96
    Which among the following functional groups is reduced by diborane?

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  47. 97
    What it the IUPAC name of following compounds?

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  48. 98
    Identify the substrate ' SS ' in the following reaction,

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  49. 99
    Propene on hydroboration followed by oxidation with alkaline peroxide forms.

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  50. 100
    Calculate the standard enthalpy change of following reaction.
    C2H4( g)+3O2( g)⟶2CO2( g)+2H2O(l)−C_{2}H_{4(\text{ }g)}+ 3O_{2(\text{ }g)}\longrightarrow 2CO_{2(\text{ }g)}+ 2H_{2}O_{(l)}-
    If ΔfH∘(C2H4)=−52 kJ mol−1\Delta_{f}H^{\circ}\left( C_{2}H_{4} \right)= - 52\text{ }kJ{\text{ }mol}^{- 1}
    ΔfH∘(CO2)=−390 kJ mol−1ΔfH∘(H2O)=−286 kJ mol−1\begin{gathered}\Delta_{f}H^{\circ}\left( CO_{2} \right)= - 390\text{ }kJ{\text{ }mol}^{- 1} \\ \Delta_{f}H^{\circ}\left( H_{2}O \right)= - 286\text{ }kJ{\text{ }mol}^{- 1}\end{gathered}

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