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
- 1The fundamental frequencies of vibrations of air column in pipe open at both ends and in pipe closed at one end are ' ' and ' ' respectively, then
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- 2A force is applied on a square plate of side . If the percentage error in determining F is and that in L is , then the percentage error in determining the pressure is
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- 3A bob of mass ' ' is tied by a massless string whose other end is wound on a flywheel (disc) of radius ' ' and mass ' '. When released from the rest, the bob starts falling vertically downwards. If the bob has covered a vertical distance ' ', then angular speed of wheel will be (There is no slipping between string and wheel, g - acceleration due to gravity)
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- 4A 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 ( acceleration due to gravity)
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- 5In Young's double slit experiment, at two points and on screen, waves from slits and have a path difference of 0 and respectively. The ratio of intensities at point to that at will be
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- 6One of the following values of inputs and C respectively gives output (Y) of the following combination of logic gates as ' 1 ' is
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- 7The initial average kinetic energy of the molecules was E, when a gas sample is at . When the gas is heated to , then the final average kinetic energy will be
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- 8A 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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- 9Seven capacitors each of capacitance are to be connected in a configuration to obtain an effective capacitance . The combination is
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- 10In an circuit, the value of is henry and the value of R is , 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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- 11The depth at which the value of acceleration due to gravity becomes times the value at the surface of the earth is ( radius of the earth)
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- 12A horizontal pipeline carries water in a streamline flow. At a point along the pipe, where the cross-sectional area is , the velocity of water is and pressure is 2000 Pa. The pressure of water at another point where the cross-sectional area is is [Given: density of water ]
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- 13Two simple pendulums have first (A) bob of mass ' ' and length ' ', second () of mass ' ' and length ' '. and . If their total energies are same then the correct statement is
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- 14If the frequency of incident light in a photoelectric experiment is doubled, then stopping potential will
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- 15A constant force newton has a displacement metre in 2 second. The work done and the power are respectively
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- 16In a common emitter amplifier configuration, the current gain is 62. The collector resistance and input resistance are and respectively. If the input voltage is 0.01 V, the output voltage will be
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- 17A thin uniform rod of length ' ' and mass ' ' is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ' '. Its centre of mass rises to a maximum height of ( acceleration due gravity)
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- 18In a biprism experiment a steady interference pattern is observed on the screen using a light of wavelength . Without disturbing the setup of the experiment, the source of light is replaced by a source of wavelength . The fringe width will
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- 19Two girls are standing at the ends ' ' and ' ' of a ground where . The girl at ' B ' starts running in a direction perpendicular to ' AB ' with velocity ' '. The girl at ' A ' starts running simultaneously with velocity ' ' and in shortest distance meets the other girl in time ' '. The value of ' ' is
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- 20A coil of wire of radius ' ' 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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- 21A sample of an ideal gas 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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- 22Using Bohr's quantization condition, what is the rotational energy in the second orbit for a diatomic molecule? ( moment of inertia of diatomic molecule and Planck's constant)
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- 23Assuming 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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- 24An object of mass '' moving with velocity '' collides with another stationary object of mass '' and stops just after the collision. The coefficient of restitution is
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- 25In the following figure magnitude of the magnetic field at the point is
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- 26A balloon is filled at and 1 atmospheric pressure by volume helium gas. At and 0.5 atmospheric pressure, the volume of helium gas will be
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- 27As shown in the figure, and are identical springs with spring constant K each. The oscillation frequency of the mass ' ' is ' '. If the spring is removed, the oscillation frequency will become
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- 28The volume of a metal sphere increases by when its temperature is raised by . The coefficient of linear expansion of the metal is
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- 29The amount of work done in blowing a soap bubble such that its diameter increases from 'd' to ' ' is ( surface tension of solution)
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- 30In an a.c. circuit, a resistance ' ' is connected in series with an inductance ' '. If phase angle between voltage and current is , the value of inductive reactance will be (
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- 31In an open end organ pipe of length ' ', if the velocity of sound is ' V ', then the fundamental frequency will be (Neglect end correction)
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- 32Two batteries of e.m.f 4 V and 8 V with internal resistance and respectively are connected in a circuit with a resistance of as shown in the figure. The current and potential difference between the points ' P ' and ' Q ' is
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- 33At 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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- 34A particle starts oscillating simple harmonically from its mean position with time period ' '. At time , the ratio of the potential energy to kinetic energy of the particle is
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- 35A coil of ' ' turns and resistance is connected in series with a resistance . The combination is moved for time ' ' second through magnetic flux to . The induced current in the circuit is
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- 36An electron of mass ' ' and charge ' ' initially at rest gets accelerated by a constant electric field ' '. The rate of change of de-Broglie wavelength of the electron at time ' ' is (Ignore relativistic effect)( Planck's constant)
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- 37The moment of inertia of a solid sphere of mass ' ' and radius ' ' about its diametric axis is ' '. Its moment of inertia about a tangent in the plane is
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- 38A 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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- 39Two identical metal plates are given charges and respectively. If they are now brought close together to form a parallel plate capacitor with capacitance ' C ', the potential difference ' ' between the plates is
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- 40In hydrogen atom in its ground state, the first Bohr orbit has radius ' '. 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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- 41Heat supplied dQ = increased in internal energy dU is true for
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- 42With a resistance ' X ' connected in series with a galvanometer of resistance , it acts as a voltmeter of range . To double the range, a resistance of is to be connected in series with ' X '. The value of ' X ' in ohm is
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- 43When one end of a capillary tube is dipped in water, the height of water column is ' '. 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 )
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- 44A 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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- 45A circular coil carrying current ' T ' has a radius ' ' and ' ' turns. The magnetic field along the axis of a coil at a distance ' ' from its centre is ( permeability of free space, is very small)
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- 46Two 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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- 47An a.c. source of frequency ' ' is connected to a circuit containing an inductance 'L' and resistance ' ' in series. The impedance of this circuit is
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- 48A black body emits radiation of maximum intensity at wavelength ' ' at temperature T K . Its corresponding wavelength at temperature 1.5 T K will be
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- 49In a single slit diffraction experiment, slit of width ' ' is illuminated by light of wavelength ' ' and the width of the central maxima in diffraction pattern is measured as ' '. When half of the slit is covered and illuminated by light of wavelength (1.5) , the width of the central maximum in diffraction pattern becomes
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- 50To protect the instrument from magnetic field, it is completely surrounded by
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Chemistry
50 questions
- 51Which among the following salts forms basic solution when dissolved in water?
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- 52Identify the product formed when 2-Bromobutane is heated with aqueous solution of sodium hydroxide.
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- 53What is the charge required to convert to ?
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- 54Find the volume of 56 g dinitrogen at STP
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- 55Calculate the work done in joule if 1 mole of an ideal gas compressed from volume to at constant external pressure 3 bar.
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- 56If Instantaneous rate of reaction is stated as , identify the reaction.
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- 57Calculate 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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- 58Which from following elements in respective oxidation state develops highest spin only magnetic moment?
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- 59Which from following polymers is used as wool substitute?
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- 60Which from following compounds does NOT contain nitrogen in it?
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- 61A container contains 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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- 62Find the EAN of Zn in ?
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- 63If standard reduction potential ( ) of and are and +0.34 V respectively. Which of the following reaction is spontaneous?
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- 64Which from following statements is NOT true for phenol?
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- 65In carbinol system, sec-Butyl alcohol is named as
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- 66Calculate the number of unit cells in volume of metal if unit cell edge length is .
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- 67Calculate the number of moles of nonvolatile solute dissolved in 0.5 kg solvent if molal elevation constant for solvent is
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- 68Which from following is an example of both intensive property and state function?
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- 69What is the number of moles of atoms required for complete reduction of one mole acetonitrile?
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- 70Calculate the pH of centimolar solution of monoacidic weak base. Which is dissociated in its aqueous solution?
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- 71Identify ' ' in the following reaction. Ethynyl lithium But-1-yne
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- 72What is molar conductivity at zero concentration in for aluminium sulphate, if molar ionic conductivities at zero concentration of and are and respectively?
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- 73Which of the following compounds is an optically inactive compound?
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- 74Which of the following reagents is used in the conversion of phenol into picric acid?
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- 75Which of the following is an example of second order reaction?
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- 76Calculate the total volume occupied by all particles in fcc unit cell if volume of unit cell is
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- 77Identify the product formed in the following reaction. Product
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- 78What type of glycosidic linkages are present in amylose?
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- 79Which of the following is more polar?
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- 80When 2-methylbut-2-ene is treated with hydrogen chloride, the major product formed is
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- 81Which colour is developed to the solution when alkaline earth metals are dissolved in liquid ammonia?
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- 82Which of the following household plastic material is used to prepare drinking straws?
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- 83What is the time required for completion of a first order reaction if rate constant is ?
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- 84Identify the product formed in the following reaction. Product
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- 85Arrange the following equimolar solutions according to increasing order of osmotic pressure [Assume complete ionization] (i) KCl (ii) (iii) (iv)
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- 86Which from following is useful to extract analgesic and antimicrobial compounds?
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- 87Which element from following has smallest ionic size in +3 state?
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- 88Identify the monomers used in preparation of Nylon 2- nylon 6
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- 89Identify the correct increasing order of field strength of ligands from following.
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- 90A monobasic weak acid dissociates in its 0.002 M solution. Calculate the dissociation constant of weak acid.
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- 91Which 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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- 92Which of the following is an acidic oxide?
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- 93What is oxidation number of sulphur in ?
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- 94Which from following substances is classified as macromolecular colloid?
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- 95What is the total number of unit cells shared by each corner particle of bcc unit cell?
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- 96Which of the following is used as reagent in Etard reaction?
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- 97For a certain reaction, and Find the temperature so that .
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- 98Which of the following elements contains maximum number of unpaired electrons?
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- 99Which from following amines on heating with chloroform and ethanolic potassium hydroxide produces foul smell?
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- 100What is the total number of carbon atoms present in a sugar molecule of RNA nucleotide?
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