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MHT-CET 2025 (25 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
    The fundamental frequencies of vibrations of air column in pipe open at both ends and in pipe closed at one end are ' n1n_{1} ' and ' n2n_{2} ' respectively, then

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  2. 2
    A force FF is applied on a square plate of side LL. If the percentage error in determining F is 3%3\% and that in L is 2%2\%, then the percentage error in determining the pressure is

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  3. 3
    A bob of mass ' mm ' is tied by a massless string whose other end is wound on a flywheel (disc) of radius ' RR ' and mass ' mm '. When released from the rest, the bob starts falling vertically downwards. If the bob has covered a vertical distance ' hh ', then angular speed of wheel will be (There is no slipping between string and wheel, g - acceleration due to gravity)

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  4. 4
    A copper ring having a cut such as not to form a complete loop is held horizontally and a bar magnet is dropped through the ring with its length along the axis of the ring as shown in figure. The acceleration of the falling magnet is ( g=g = acceleration due to gravity)

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  5. 5
    In Young's double slit experiment, at two points PP and QQ on screen, waves from slits S1S_{1} and S2S_{2} have a path difference of 0 and λ4\frac{\lambda}{4} respectively. The ratio of intensities at point PP to that at QQ will be (cos⁡0∘=1,cos⁡45∘=12)\left( \cos0^{\circ}= 1,\cos45^{\circ}=\frac{1}{\sqrt{2}} \right)

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  6. 6
    One of the following values of inputs A,BA,B and C respectively gives output (Y) of the following combination of logic gates as ' 1 ' is

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  7. 7
    The initial average kinetic energy of the molecules was E, when a gas sample is at 27∘C27^{\circ}C. When the gas is heated to 327∘C327^{\circ}C, then the final average kinetic energy will be

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  8. 8
    A piece of semiconductor is connected in series in an electric circuit. On increasing the temperature, the current in the circuit will

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  9. 9
    Seven capacitors each of capacitance 2μ F2\mu\text{ }F are to be connected in a configuration to obtain an effective capacitance (1011)μF\left( \frac{10}{11} \right)\mu F. The combination is

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  10. 10
    In an LRLR circuit, the value of LL is (0⋅3π)\left( \frac{0 \cdot 3}{\pi} \right) henry and the value of R is 40Ω40\Omega, If in the circuit, an alternating e.m.f of 230 V at 50 cycles per second is connected, the impedance of the circuit and current will be respectively

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  11. 11
    The depth at which the value of acceleration due to gravity becomes (1n)\left( \frac{1}{n} \right) times the value at the surface of the earth is ( R=R = radius of the earth)

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  12. 12
    A horizontal pipeline carries water in a streamline flow. At a point along the pipe, where the cross-sectional area is 10 cm210\,cm^{2}, the velocity of water is 1 m/s1\,m/s and pressure is 2000 Pa. The pressure of water at another point where the cross-sectional area is 5 cm25\,cm^{2} is [Given: density of water =1000 kg/m3=1000\,kg/m^{3}]

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  13. 13
    Two simple pendulums have first (A) bob of mass ' M1M_{1} ' and length ' L1L_{1} ', second (BB) of mass ' M2M_{2} ' and length ' L2L_{2} '. M1=M2M_{1}=M_{2} and L1=2 L2L_{1}= 2{\text{ }L}_{2}. If their total energies are same then the correct statement is

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  14. 14
    If the frequency of incident light in a photoelectric experiment is doubled, then stopping potential will

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  15. 15
    A constant force F→=3i^−2j^−k^\overrightarrow{F}= 3\widehat{i}- 2\widehat{j}-\widehat{k} newton has a displacement r→=2i^−3j^−3k^\overrightarrow{r}= 2\widehat{i}- 3\widehat{j}- 3\widehat{k} metre in 2 second. The work done and the power are respectively

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  16. 16
    In a common emitter amplifier configuration, the current gain is 62. The collector resistance and input resistance are 5kΩ5k\Omega and 500Ω500\Omega respectively. If the input voltage is 0.01 V, the output voltage will be

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  17. 17
    A thin uniform rod of length ' LL ' and mass ' MM ' is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ' ω\omega '. Its centre of mass rises to a maximum height of ( g=g= acceleration due gravity)

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  18. 18
    In a biprism experiment a steady interference pattern is observed on the screen using a light of wavelength 5000Å5000\text{Å}. Without disturbing the setup of the experiment, the source of light is replaced by a source of wavelength 6400Å6400\text{Å}. The fringe width will

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  19. 19
    Two girls are standing at the ends ' AA ' and ' BB ' of a ground where AB=bAB = b. The girl at ' B ' starts running in a direction perpendicular to ' AB ' with velocity ' V1V_{1} '. The girl at ' A ' starts running simultaneously with velocity ' V2V_{2} ' and in shortest distance meets the other girl in time ' tt '. The value of ' tt ' is

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  20. 20
    A coil of wire of radius ' rr ' has 600 turns and a self-inductance of 108 mH . The self-inductance of a coil with same radius and 500 turns is

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  21. 21
    A sample of an ideal gas (γ=53)\left( \gamma=\frac{5}{3} \right) is heated at constant pressure. If 100 J of heat is supplied to the gas, the work done by the gas is

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  22. 22
    Using Bohr's quantization condition, what is the rotational energy in the second orbit for a diatomic molecule? (I=I= moment of inertia of diatomic molecule and h=h = Planck's constant)

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  23. 23
    Assuming the drops to be spherical, 27 identical drops of mercury are charged simultaneously to the same potential of 20 volt. If all the charged drops are made to combine to form one big drop, then potential of big drop will be

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  24. 24
    An object of mass 'mm' moving with velocity 'uu' collides with another stationary object of mass 'MM' and stops just after the collision. The coefficient of restitution is

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  25. 25
    In the following figure magnitude of the magnetic field at the point pp is

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  26. 26
    A balloon is filled at 27∘C27^{\circ}C and 1 atmospheric pressure by volume 500 m3500{\text{ }m}^{3} helium gas. At −3∘C-3^{\circ}C and 0.5 atmospheric pressure, the volume of helium gas will be

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  27. 27
    As shown in the figure, S1S_{1} and S2S_{2} are identical springs with spring constant K each. The oscillation frequency of the mass ' mm ' is ' ff '. If the spring S2S_{2} is removed, the oscillation frequency will become

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  28. 28
    The volume of a metal sphere increases by 0.33%0.33\% when its temperature is raised by 50∘C50^{\circ}C. The coefficient of linear expansion of the metal is

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  29. 29
    The amount of work done in blowing a soap bubble such that its diameter increases from 'd' to ' DD ' is ( T=T= surface tension of solution)

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  30. 30
    In an a.c. circuit, a resistance ' RR ' is connected in series with an inductance ' LL '. If phase angle between voltage and current is 45∘45^{\circ}, the value of inductive reactance will be (  tan⁡45∘=1)\left. \ \tan45^{\circ}= 1 \right)

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  31. 31
    In an open end organ pipe of length ' LL ', if the velocity of sound is ' V ', then the fundamental frequency will be (Neglect end correction)

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  32. 32
    Two batteries of e.m.f 4 V and 8 V with internal resistance 1Ω1\Omega and 2Ω2\Omega respectively are connected in a circuit with a resistance of 9Ω9\Omega as shown in the figure. The current and potential difference between the points ' P ' and ' Q ' is R=9ΩR = 9\Omega

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  33. 33
    At what speed should a source of sound move so that the observer finds the apparent frequency equal to half the original frequency?

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  34. 34
    A particle starts oscillating simple harmonically from its mean position with time period ' TT '. At time t=T6t =\frac{T}{6}, the ratio of the potential energy to kinetic energy of the particle is [sin⁡30∘=cos⁡60∘=0⋅5,cos⁡30∘=sin⁡60∘=3/2]\left\lbrack \sin30^{\circ}= \cos60^{\circ}= 0 \cdot 5,\cos30^{\circ}= \sin60^{\circ}=\sqrt{3}/2 \right\rbrack

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  35. 35
    A coil of ' nn ' turns and resistance RΩR\Omega is connected in series with a resistance R2\frac{R}{2}. The combination is moved for time ' tt ' second through magnetic flux ϕ1\phi_{1} to ϕ2\phi_{2}. The induced current in the circuit is

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  36. 36
    An electron of mass ' mm ' and charge ' ee ' initially at rest gets accelerated by a constant electric field ' EE '. The rate of change of de-Broglie wavelength of the electron at time ' tt ' is (Ignore relativistic effect)( h=h = Planck's constant)

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  37. 37
    The moment of inertia of a solid sphere of mass ' mm ' and radius ' RR ' about its diametric axis is ' II '. Its moment of inertia about a tangent in the plane is

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  38. 38
    A glass cube of length 21 cm has a small air bubble trapped inside. When viewed normally from the opposite face, its apparent distance is 6 cm. The refractive index of glass and the actual distance of the air bubble from the first surface respectively are

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  39. 39
    Two identical metal plates are given charges q1q_{1} and q2(q2<q1)q_{2}\left( q_{2}<q_{1} \right) respectively. If they are now brought close together to form a parallel plate capacitor with capacitance ' C ', the potential difference ' VV ' between the plates is

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  40. 40
    In hydrogen atom in its ground state, the first Bohr orbit has radius ' r1r_{1} '. When the atom is raised to one of its excited states, the electrons orbital velocity becomes one-third. The radius of that orbit is

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  41. 41
    Heat supplied dQ = increased in internal energy dU is true for

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  42. 42
    With a resistance ' X ' connected in series with a galvanometer of resistance 100Ω100\Omega, it acts as a voltmeter of range 0−15 V0 - 15\text{ }V. To double the range, a resistance of 1500Ω1500\Omega is to be connected in series with ' X '. The value of ' X ' in ohm is

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  43. 43
    When one end of a capillary tube is dipped in water, the height of water column is ' hh '. The upward force of 105 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary tube is (Surface tension of water =7×10−2 N/m= 7 \times10^{- 2}\text{ }N/m )

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  44. 44
    A tuning fork gives 5 beats per second with 40 cm length of sonometer wire. If the length of the wire is shortened by 1 cm , the number of beats is still the same. The frequency of the fork is

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  45. 45
    A circular coil carrying current ' T ' has a radius ' rr ' and ' nn ' turns. The magnetic field along the axis of a coil at a distance ' 22r2\sqrt{2}r ' from its centre is (μ0=\mu_{0}= permeability of free space, nn is very small)

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  46. 46
    Two equally charged small balls placed at a fixed distance experience a force ' F '. A similar uncharged ball after touching one of them is placed at the middle point between the two balls. the force experienced by this ball is

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  47. 47
    An a.c. source of frequency ' ff ' is connected to a circuit containing an inductance 'L' and resistance ' RR ' in series. The impedance of this circuit is

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  48. 48
    A black body emits radiation of maximum intensity at wavelength ' λ\lambda ' at temperature T K . Its corresponding wavelength at temperature 1.5 T K will be

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  49. 49
    In a single slit diffraction experiment, slit of width ' aa ' is illuminated by light of wavelength ' λ\lambda ' and the width of the central maxima in diffraction pattern is measured as ' yy '. When half of the slit is covered and illuminated by light of wavelength (1.5) λ\lambda, the width of the central maximum in diffraction pattern becomes

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  50. 50
    To protect the instrument from magnetic field, it is completely surrounded by

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Chemistry

50 questions

  1. 51
    Which among the following salts forms basic solution when dissolved in water?

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  2. 52
    Identify the product formed when 2-Bromobutane is heated with aqueous solution of sodium hydroxide.

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  3. 53
    What is the charge required to convert 2 molKMnO42\text{ }molKMnO_{4} to MnSO4MnSO_{4} ?

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  4. 54
    Find the volume of 56 g dinitrogen at STP

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  5. 55
    Calculate the work done in joule if 1 mole of an ideal gas compressed from volume 24dm324dm^{3} to 13dm313dm^{3} at constant external pressure 3 bar.

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  6. 56
    If Instantaneous rate of reaction is stated as −12 d[x]dt=−d[y]dt=12 d[z]dt-\frac{1}{2}\frac{\text{ }d\lbrack x\rbrack}{dt}= -\frac{d\lbrack y\rbrack}{dt}=\frac{1}{2}\frac{\text{ }d\lbrack z\rbrack}{dt}, identify the reaction.

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  7. 57
    Calculate the vapour pressure of solution if relative lowering of vapour pressure and vapour pressure of pure solvent are 0.018- and 18-mm Hg respectively at 300 K .

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  8. 58
    Which from following elements in respective oxidation state develops highest spin only magnetic moment?

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  9. 59
    Which from following polymers is used as wool substitute?

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  10. 60
    Which from following compounds does NOT contain nitrogen in it?

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  11. 61
    A container contains 4 gH2,4 gHe4\text{ }gH_{2},4\text{ }gHe and certain amount of ' Ne ' at a certain temperature. What is the mass of 'Ne' required so that the partial pressure exerted by 'Ne' is equal to the partial pressure of He ?

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  12. 62
    Find the EAN of Zn in [Zn(NH3)4]2+\left\lbrack Zn\left( NH_{3} \right)_{4} \right\rbrack^{2 +} ?

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  13. 63
    If standard reduction potential ( E∘E^{\circ} ) of (Mg(aq)+2∣Mg(s)),(Ag(aq)+∣Ag(s)),(Zn(aq)+2∣Zn(s))\left( Mg_{(aq)}^{+ 2}\mid Mg_{(s)} \right),\left( Ag_{(aq)}^{+}\mid Ag_{(s)} \right),\left( Zn_{(aq)}^{+ 2}\mid Zn_{(s)} \right) and (Cu(aq )+2∣Cu(s))\left( Cu_{(\text{aq~})}^{+ 2}\mid Cu_{(s)} \right) are −2.37 V,+0.79 V,−0.76 V- 2.37\text{ }V, + 0.79\text{ }V, - 0.76\text{ }V and +0.34 V respectively. Which of the following reaction is spontaneous?

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  14. 64
    Which from following statements is NOT true for phenol?

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  15. 65
    In carbinol system, sec-Butyl alcohol is named as

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  16. 66
    Calculate the number of unit cells in 1 cm31\,\text{cm}^3 volume of metal if unit cell edge length is 1.25×10−8 cm1.25 \times 10^{-8}\,\text{cm}.

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  17. 67
    Calculate the number of moles of nonvolatile solute dissolved in 0.5 kg solvent if molal elevation constant for solvent is 2 kg K mol−1[ΔTb=0.8 K]2\text{ }kg\text{ }K{\text{ }mol}^{- 1}\left\lbrack \Delta T_{b}= 0.8\text{ }K \right\rbrack

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  18. 68
    Which from following is an example of both intensive property and state function?

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  19. 69
    What is the number of moles of HH atoms required for complete reduction of one mole acetonitrile?

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  20. 70
    Calculate the pH of centimolar solution of monoacidic weak base. Which is 10%10\% dissociated in its aqueous solution?

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  21. 71
    Identify ' AA ' in the following reaction. A→Lithium amideA \xrightarrow{\text{Lithium amide}} Ethynyl lithium →Bromoethane\xrightarrow{\text{Bromoethane}} But-1-yne

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  22. 72
    What is molar conductivity at zero concentration in Ω−1 cm2 mol−1\Omega^{- 1}{\text{ }cm}^{2}{\text{ }mol}^{- 1} for aluminium sulphate, if molar ionic conductivities at zero concentration of Al+3Al^{+ 3} and SO4−2SO_{4}^{- 2} are 189Ω−1 cm2 mol−1189\Omega^{- 1}{\text{ }cm}^{2}{\text{ }mol}^{- 1} and 50.1Ω−1 cm2 mol−150.1\Omega^{- 1}{\text{ }cm}^{2}{\text{ }mol}^{- 1} respectively?

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  23. 73
    Which of the following compounds is an optically inactive compound?

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  24. 74
    Which of the following reagents is used in the conversion of phenol into picric acid?

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  25. 75
    Which of the following is an example of second order reaction?

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  26. 76
    Calculate the total volume occupied by all particles in fcc unit cell if volume of unit cell is 6.4×10−23 cm36.4 \times10^{- 23}{\text{ }cm}^{3}

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  27. 77
    Identify the product formed in the following reaction. (CH3CO)2O\left( CH_{3}CO \right)_{2}O →H2O\xrightarrow{H_{2}O}Product

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  28. 78
    What type of glycosidic linkages are present in amylose?

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  29. 79
    Which of the following is more polar?

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  30. 80
    When 2-methylbut-2-ene is treated with hydrogen chloride, the major product formed is

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  31. 81
    Which colour is developed to the solution when alkaline earth metals are dissolved in liquid ammonia?

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  32. 82
    Which of the following household plastic material is used to prepare drinking straws?

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  33. 83
    What is the time required for 99%99\% completion of a first order reaction if rate constant is 23.03 min⁡−123.03{\text{ }\min}^{- 1} ?

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  34. 84
    Identify the product formed in the following reaction. C6H5−CH2−CH3→ii) H3O+i) alk. KMnO4C_{6}H_{5}-CH_{2}-CH_{3}\xrightarrow[\text{ii) }H_{3}O^{+}]{\text{i) alk. }KMnO_{4}} Product

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  35. 85
    Arrange the following equimolar solutions according to increasing order of osmotic pressure [Assume complete ionization] (i) KCl (ii) BaCl2{BaCl}_{2} (iii) AlCl3{AlCl}_{3} (iv) Al2(SO4)3{Al}_{2}\left( {SO}_{4} \right)_{3}

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  36. 86
    Which from following is useful to extract analgesic and antimicrobial compounds?

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  37. 87
    Which element from following has smallest ionic size in +3 state?

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  38. 88
    Identify the monomers used in preparation of Nylon 2- nylon 6

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  39. 89
    Identify the correct increasing order of field strength of ligands from following.

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  40. 90
    A monobasic weak acid dissociates 2%2\% in its 0.002 M solution. Calculate the dissociation constant of weak acid.

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  41. 91
    Which of the following pair of compounds consists equal number of lone pair of electrons in the valence shell of central atom?

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  42. 92
    Which of the following is an acidic oxide?

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  43. 93
    What is oxidation number of sulphur in SO3SO_{3} ?

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  44. 94
    Which from following substances is classified as macromolecular colloid?

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  45. 95
    What is the total number of unit cells shared by each corner particle of bcc unit cell?

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  46. 96
    Which of the following is used as reagent in Etard reaction?

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  47. 97
    For a certain reaction, ΔH=−210 kJ\Delta H = - 210\text{ }kJ and ΔS=−150 kJ K−1\Delta S = - 150\text{ }kJ{\text{ }K}^{- 1} Find the temperature so that ΔG=0\Delta G = 0.

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  48. 98
    Which of the following elements contains maximum number of unpaired electrons?

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  49. 99
    Which from following amines on heating with chloroform and ethanolic potassium hydroxide produces foul smell?

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  50. 100
    What is the total number of carbon atoms present in a sugar molecule of RNA nucleotide?

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