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MHT-CET 2025 (21 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
    Two simple harmonic motions of angular frequency 300rad/s300rad/s and 3000rad/s3000rad/s have same amplitude. The ratio of their maximum accelerations is

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  2. 2
    Two very long straight conductors (wires) are set parallel to each other. Each carries a current ' TT ' in the same direction and the separation between them is ' 2r2r '. The intensity of the magnetic field at point ' P ' (as shown in the figure) ( μ0=\mu_{0}= permeability of free space) is

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  3. 3
    A rectangular block of surface area A emits energy E per second at 27∘C27^{\circ}C. If length and breadth is reduced to half of initial value and temperature is raised to 327∘C327^{\circ}C then energy emitted per second becomes

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  4. 4
    A pipe open at both ends of length 1.5 m is dipped in water at one end such that 2nd 2^{\text{nd~}} overtone of vibrating air column is resonating with a tuning fork of frequency 330 Hz . The length of the pipe immersed in water is (Speed of sound in air =330 m/s= 330\text{ }m/s ) (Neglect end correction)

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  5. 5
    A physical quantity A can be determined by measuring parameters B,C,DB,C,D and E using the relation A=BαCβDγEδA =\frac{B^{\alpha}C^{\beta}}{D^{\gamma}E^{\delta}}. If the maximum errors in the measurement are b%,c%, d%b\%,c\%,\text{ }d\% and e%e\% then maximum error in the value of AA is

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  6. 6
    In series LCR resonant circuit, R=800ΩR = 800\Omega, C=2μ FC = 2\mu\text{ }F and voltage across resistance is 200 V . The angular frequency is 250rad/s250rad/s. At resonance, the voltage across the inductance is

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  7. 7
    When a diatomic gas (rigid) undergoes adiabatic change, its pressure PP and temperature TT are related as P∝TcP \propto T^{c}. The value of c is

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  8. 8
    Two coils P and Q are kept near each other. When no current flows through coil P and current increases in coil Q at the rate of 10 A/s10\text{ }A/s, the e.m.f. in coil PP is 15mV15mV. When coil QQ carries no current and current of 1.8 A flows through coil P, the magnetic flux linked with coil Q is

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  9. 9
    A mass mm is suspended from a spring of negligible mass. The spring is pulled a little and then released, so that mass executes S.H.M. of time period T. If the mass is increased by m0m_{0}, the periodic time becomes 5 T4\frac{5\text{ }T}{4}. The ratio m0M\frac{m_{0}}{M} is

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  10. 10
    The three vector A→=3i^−2j^+k^,B→=i^−3j^+5k\overrightarrow{A}= 3\widehat{i}- 2\widehat{j}+\widehat{k},\overrightarrow{B}=\widehat{i}- 3\widehat{j}+ 5k and C→=2i^−j^+4k^\overrightarrow{C}= 2\widehat{i}-\widehat{j}+ 4\widehat{k} will form

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  11. 11
    Two identical long parallel wires carry currents ' I1I_{1} ' and ' I2I_{2} ' such that I1>I2I_{1}>I_{2}. When the currents are in the same direction, the magnetic field at a point midway between the wires is 8×10−6 T8\times10^{-6}\text{ }T. If the direction of I2I_{2} is reversed, the field becomes 3.2×10−5 T3.2\times10^{-5}\text{ }T. The ratio of I2I_{2} to I1I_{1} is

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  12. 12
    A disc of mass 25 kg and radius 0.2 m is rotating at 240 r.p.m. A retarding torque brings it to rest in 20 second. If the torque is due to a force applied tangentially on the rim of the disc, then the magnitude of the force is

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  13. 13
    Interference fringes are produced on the screen by using two light sources of intensities I and 9I. The phase difference between the beams is π/2\pi/2 at point PP and π\pi at point Q on the screen. The difference between the resultant intensities at points P and Q is (cos⁡90∘=0,cos⁡π=−1)\left( \cos90^{\circ}= 0,\cos\pi= - 1 \right)

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  14. 14
    Which of the following logic gates is called as Universal gate?

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  15. 15
    For an ideal gas, the density of the gas is ρ0\rho_{0} when temperature and pressure of the gas are T0T_{0} and P0P_{0} respectively. when the temperature of the gas is 2 T02{\text{ }T}_{0}, its pressure becomes 3P03P_{0}. The new density will be

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  16. 16
    Which graph shows correctly the temperature (T) dependence of resistivity ( ρ\rho ) of a semiconductor? (A) (B) (C) (D)

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  17. 17
    Two uniform wires of same material are vibrating under the same tension. If the 1st 1^{\text{st~}} overtone of 1st 1^{\text{st~}} wire is equal to the 2nd 2^{\text{nd~}} overtone of 2nd 2^{\text{nd~}} wire and radius of 1st 1^{\text{st~}} wire is twice the radius of 2nd 2^{\text{nd~}} wire, the ratio of length of 1st 1^{\text{st~}} wire to that 2nd 2^{\text{nd~}} wire is

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  18. 18
    The variation of magnetic susceptibility (χ)(\chi) with temperature for a diamagnetic substance is shown correctly by graph (A) (B) (C) (D)

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  19. 19
    A liquid drop of volume V is placed on the surface of glass plate. Then another glass plate is placed on it such that liquid forms a thin layer of area A between the surfaces of two plates. To separate the plates a force F has to be applied normal to the surfaces. The surface tension of the liquid is

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  20. 20
    If maximum energy is stored in a capacitor at t=0t = 0 then the time after which, current in the circuit will be maximum is

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  21. 21
    The velocity time graph of a body moving in a straight line is shown in figure. The ratio of displacement to distance travelled by the body in time 0 to 8 s is

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  22. 22
    The length of a potentiometer wire is ' LL '. A cell of e.m.f. EE is balanced at a length L5\frac{L}{5} from the positive end of the wire. If the length of the wire is increased by L2\frac{L}{2}, the same cell will give balance point at distance ' xx '. The value of ' xx ' is

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  23. 23
    In LCR series circuit, R = 18Ω18\Omega and impedance 33Ω33\Omega. An r.m.s. voltage of 220 V is applied across the circuit. The true power consumed in a.c. circuit is

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  24. 24
    A child stands on a weighing machine inside a lift. When the lift is going down with acceleration g/3g/3, the machine shows a reading 20 N. When the lift goes upwards with acceleration g/3g/3, the reading would be ( g=g = gravitational acceleration)

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  25. 25
    The equivalent capacitance between plates ' AA ' and ' BB ' (A-area of each plate, d-separation between plates) ( ε0\varepsilon_{0} - permittivity of free space) is

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  26. 26
    Which of the following transitions in hydrogen atom emit photons of highest frequency? ( n=n = principle quantum number)

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  27. 27
    Water rises up to height ' xx ' in a capillary tube immersed vertically in water. When the whole arrangement is taken to a depth 'd' in a mine, the water level rises up to height Y . If R is the radius of the earth then the ratio Y:xY:x is

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  28. 28
    In Young's double slit experiment, in an interference pattern, a minimum is observed exactly in front of one slit. The distance between the two coherent sources is d and D is the distance between source and screen. The possible wavelengths used are proportional to

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  29. 29
    The total energy of a circularly orbiting satellite is

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  30. 30
    The de-Broglie wavelength ( λ\lambda ) of a particle

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  31. 31
    An incompressible fluid flows steadily through a cylindrical pipe having radius R at point A and (R3)\left( \frac{R}{3} \right) at point B further along the direction of flow of liquid. If the velocity at point A is ' V ' then that at point B is

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  32. 32
    Two radioactive materials A and B having decay constant ' 7λ7\lambda ' and ' λ\lambda ' respectively, initially have same number of nuclei. The time taken to have the ratio of number of nuclei of material B to that of A as ' e ' is

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  33. 33
    A centigrade and Fahrenheit thermometer are dipped in boiling water. The water temperature is lowered until the Fahrenheit temperature observed is 140∘F140^{\circ}F. At that time the temperature registered by the centigrade thermometer is

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  34. 34
    Photoelectric emission is observed from a metallic surface for frequencies v1v_{1} and v2v_{2} of the incident light rays (v1>v2)\left( v_{1}>v_{2} \right). If the maximum values of kinetic energy of the photoelectrons emitted in the two cases are in the ratio of 1:k1:k, then the threshold frequency of metallic surface is

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  35. 35
    The electric charges ' +2q+ 2q ', ' +2q+ 2q ', ' −2q- 2q ' and ' −2q- 2q ' are placed at the corners of square of side ' 2L2L ' as shown in figure. The electric potential at point 'A', midway between the two charges  ′+2q\ ^{'}+ 2q ' and ' +2q+ 2q ' is ( ε0=\varepsilon_{0}= permittivity of free space)

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  36. 36
    Two circular loops PP and QQ of radii ' rr ' and ' nrnr ' are made respectively from a uniform wire. Moment of inertia of loop Q about its axis is 4 times that of loop P about its axis. The value of n is

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  37. 37
    An observer on seacoast counts 45 waves in one minute. If the wavelength of the waves is 7 m , then the velocity of the waves will be

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  38. 38
    A simple pendulum has time period ' T1T_{1} '. The point of suspension is now moved upward according to equation y=kt2y =kt^{2} where k=1 m/s2k = 1\text{ }m/s^{2}. If new time period is ' T2T_{2} ' then T12/T22T_{1}^{2}/T_{2}^{2} will be ( g=10 m/s2g = 10\text{ }m/s^{2} )

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  39. 39
    To manufacture a solenoid of length ' ll ' and inductance ' LL ', the length of the thin wire required is (Diameter of the solenoid is very less than length, μ0=\mu_{0}= permeability of free space)

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  40. 40
    An engine operating between temperatures T1T_{1} and T2T_{2} has efficiency 15\frac{1}{5}. When T2T_{2} is lowered by 45 K , its efficiency becomes 12\frac{1}{2}. Temperatures T1T_{1} and T2T_{2} are respectively

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  41. 41
    In an n-p-n transistor amplifier, the collector current is 8 mA. If 80%80\% of the electrons from the emitter reach the collector, then (α\alpha and β\beta are current ratios)

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  42. 42
    An electric dipole having each charge of magnitude 2μC2\mu C is placed in an electric field of intensity 8×104 N/C8\times10^{4}\text{ }N/C. If the maximum torque acting on the dipole is 4×10−3 N−m4 \times10^{- 3}\text{ }N - m, the length of the dipole is

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  43. 43
    Two sources of sound are emitting progressive waves y1=4sin⁡710πty_{1}= 4\sin710\pi t and y2=3sin⁡702πty_{2}= 3\sin702\pi t. The sources are placed close to each other. The number of beats heard per second and intensity ratio between waxing and waning are respectively

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  44. 44
    Three spheres, each of mass ' mm ' and radius ' rr ' are placed as shown in figure. Consider an axis YY′YY^{'}, which is touching two spheres and passing through the diameter of third sphere. The moment of inertia of the system consisting of these three spheres about YY′YY^{'} axis is

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  45. 45
    The value of current I in the given circuit is

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  46. 46
    Three polarized sheets are co-axially placed. Pass axis of polaroid 2 and 3 make 30∘30^{\circ} and 90∘90^{\circ} with pass axis of polaroid sheet. If I0I_{0} is the intensity of unpolarized light entering sheet 1 , the intensity of the emergent light through sheet 3 is
    (cos⁡30∘=3/2,cos⁡90∘=0,cos⁡60∘=1/2)\left( \cos30^{\circ}=\sqrt{3}/2,\cos90^{\circ}= 0,\cos60^{\circ}= 1/2 \right)

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  47. 47
    Two cylinders A and B fitted with pistons contain equal amount of an ideal rigid diatomic gas at 303 K . The piston of cylinder A is free to move and that of cylinder B is held fixed. The same amount heat is given to the gas in each cylinder. If the rise in temperature of the gas in cylinder B is 49 K , then the rise in temperature of the gas in AA is

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  48. 48
    The phenomenon, which is not due to total internal reflection is

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  49. 49
    Initially a rectangular coil with length vertical is moving out with constant velocity ' vv ' in a constant magnetic field ' BB ' towards right. Now the same coil is rotated through 90∘90^{\circ} in same plane in same magnetic field BB and the coil is moving with same velocity vv. The magnitude of induced e.m.f. is now

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  50. 50
    The voltage between the plates of a parallel plate capacitor of capacity 1μ F1\mu\text{ }F is changing at the rate of 4 V/s4\text{ }V/s. The displacement current in the capacitor is

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Chemistry

50 questions

  1. 51
    Find the number of moles present in 0.448 L of dihydrogen at STP.

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  2. 52
    Which from following compounds the thermo col is obtained?

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  3. 53
    Identify product A in following reaction.
    C6H5N2+Cl−→C2H5OHA+N2+CH3CHO+HClC_{6}H_{5}\overset{+}{N_{2}}Cl^{-}\xrightarrow{C_{2}H_{5}OH}A +N_{2}+CH_{3}CHO + HCl

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  4. 54
    Which among the following is vinylic halide?

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  5. 55
    Which of the following is Lewis base?

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  6. 56
    Which from following is a soft metal?

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  7. 57
    What is the order and molecularity respectively for the elementary reaction given below? O3( g)+O(g)⟶2O2( g)O_{3(\text{ }g)}+O_{(g)}\longrightarrow 2O_{2(\text{ }g)} if r=k[O3][O]r = k\left\lbrack O_{3} \right\rbrack\lbrack O\rbrack

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  8. 58
    Identify the property of colloidal solutions so that colloidal particles move freely towards respective electrodes under an applied electrical potential.

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  9. 59
    Select false statement from the following regarding electrochemical cell.

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  10. 60
    Calculate the work done in following reaction at 27∘C27^{\circ}C. 4SO2(g)+2O2(g)⟶4SO3(g)4SO_{2(g)}+ 2O_{2(g)}\longrightarrow 4SO_{3(g)}, (R=8.314 J K−1 mol−1R = 8.314\text{ }J{\text{ }K}^{- 1}{\text{ }mol}^{- 1})

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  11. 61
    Which of the following principal of green chemistry suggest use of chemicals made from plant-based sources?

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  12. 62
    Which from following cations will form most stable complex with same ligand?

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  13. 63
    Which is NOT correct regarding stock notation?

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  14. 64
    Calculate the time in seconds required to reduce the concentration of reactant to half of initial concentration for first order reaction if rate constant is 1.386×10−3 s−11.386 \times 10^{-3}\ \mathrm{s^{-1}}.

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  15. 65
    The solubility product of PbI2PbI_{2} is 1.08×10−71.08 \times10^{- 7}. Calculate its solubility in moldm−3moldm^{- 3} at 298 K .

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  16. 66
    If LnLn represents lanthanoid element find the general formula of lanthanoid hydroxide.

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  17. 67
    Identify the correct decreasing order of boiling points for different organic compounds from following.

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  18. 68
    Which from following is a thermosetting polymer?

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  19. 69
    Which from following functional groups has highest priority order for naming the polyfunctional group compounds?

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  20. 70
    Identify the defect that develops when the ratio of number of cations to anions become different from that indicated by its chemical formula.

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  21. 71
    Which from following compounds does NOT contain phenolic - OH group?

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  22. 72
    Which of the following aqueous solutions exhibits lowest freezing point depression assuming complete dissociation?

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  23. 73
    Identify the product obtained when alkenes are oxidized with KMnO4KMnO_{4} in dil. H2SO4H_{2}SO_{4}.

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  24. 74
    Which of the following set of thermodynamic conditions is true for the reaction to be spontaneous at high temperature?

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  25. 75
    Calculate the energy per mole of photon of electromagnetic radiation having wavelength 700 nm[ h=6.626×10−34Js,c=3×108 m/s]700\text{ }nm\left\lbrack \text{ }h = 6.626 \times10^{- 34}Js,c = 3 \times10^{8}\text{ }m/s \right\rbrack

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  26. 76
    Which of the following molecules consist minimum lone pair of electrons in the valence shell of central atom?

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  27. 77
    What is the SI unit of rate of diffusion for a gas?

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  28. 78
    Which of the following gases causes depletion in ozone layer?

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  29. 79
    Find standard enthalpy of formation of ammonia from following reaction.
    N2( g)+3H2( g)⟶2NH3( g);ΔrH0=−92.0 kJN_{2(\text{ }g)}+ 3H_{2(\text{ }g)}\longrightarrow 2NH_{3(\text{ }g)};\Delta_{r}H^{0}= - 92.0\text{ }kJ

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  30. 80
    What is IUPAC name of the following compound?

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  31. 81
    Which from the following reaction is a Fitting reaction?

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  32. 82
    What is IUPAC name of the following compound?

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  33. 83
    Which of the following compounds has highest boiling point?

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  34. 84
    Calculate the temperature of 0.05 M sucrose solution in Kelvin if the osmotic pressure of the solution is 1.5 atm. [R=0.0821dm3 atm K−1 mol−1]\left\lbrack R = 0.0821dm^{3}\text{ }atm{\text{ }K}^{- 1}{\text{ }mol}^{- 1} \right\rbrack

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  35. 85
    If E∘(Mg+2 (aq)∣Mg(s))=−2⋅37 VE^{\circ}\left( Mg^{+ 2}\ _{(aq)}\mid Mg_{(s)} \right)= - 2 \cdot 37\text{ }V. What is potential for Mg(s)→Mg+2(0.1M)+2e−Mg_{(s)}\rightarrow Mg^{+ 2}(0.1M) + 2e^{-} at 298 K ?

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  36. 86
    Which of the following statements is false about interhalogen compounds?

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  37. 87
    The mass of an atom present in unit cell is 4.4×10−23 g4.4 \times 10^{-23}\ \mathrm{g} and the product of density and volume of unit cell is 1.792×10−22 g1.792 \times 10^{-22}\ \mathrm{g}. What is the type of cubic unit cell?

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  38. 88
    Which amino acid from following is NOT synthesized in our body?

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  39. 89
    What is the coordination number of Pt in cisplatin?

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  40. 90
    What is the value of pH of a NaOH solution that dissociates 2%2\% in its 0.01 M solution?

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  41. 91
    If standard emf of cell Zn(s)∣Zn(iM)+2∣Ag(iM)+1∣Ag(s)Zn_{(s)}\left| Zn_{(iM)}^{+ 2} \right|Ag_{(iM)}^{+ 1}\mid Ag_{(s)} is 1.55 V . What is electrical work done under standard conditions?

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  42. 92
    What is the number of chiral carbon atoms present in 3,4-Dibromohexane?

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  43. 93
    Identify the major product formed  [\ ^{\lbrack}when 2-Methylhexan-3-ol is heated with concentrated sulphuric acid.

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  44. 94
    If a reaction occurs in following two steps (i)  2ClO−⟶ClO2−\ 2ClO^{-}\longrightarrow ClO_{2}^{-} (ii)  ClO2−+ClO−⟶ClO3−+Cl−\ ClO_{2}^{-}+ClO^{-}\longrightarrow ClO_{3}^{-}+Cl^{-} Find the reaction intermediate.

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  45. 95
    Identify the product when magnesium burns in air.

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  46. 96
    Calculate the total number of tetrahedral and octahedral voids in 0.4 mol compound having such voids in it.

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  47. 97
    Which carbon atom of glucopyranose numbered from C−1C - 1 to C−6C - 6 is anomeric?

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  48. 98
    Calculate molality of the solution containing nonvolatile solute if boiling point elevation of the solution is 0.2 K [Kb=0.52 K kg mol−1]\left\lbrack K_{b}= 0.52\text{ }K\text{ }kg{\text{ }mol}^{- 1} \right\rbrack

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  49. 99
    Identify the reagent ' RR ' used in the following reaction. Ketone →R\xrightarrow{R} Semicarbazone

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  50. 100
    Identify substrate ' AA ' in the following reaction.
    A+CO2→6 atm398 K Sodium salicylate →H3O+Salicylic acid A +CO_{2}\xrightarrow[6\text{ }atm]{398\text{ }K}\text{~Sodium salicylate~}\xrightarrow{H_{3}O^{+}}\text{Salicylic acid~}

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