MHT-CET 2026 (16 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
- 1A wire has mass gram, radius cm and length cm. The maximum percentage error in the measurement of density is
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- 2Let and . The angle between and is
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- 3A ball is released from height 'h' which makes perfectly elastic collision with ground. The frequency of periodic vibratory motion is (g=acceleration due to gravity)
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- 4Two boys are standing at points A and B on ground where distance AB = a. The boy at point B starts running perpendicular to line AB with velocity ''. The boy at point A starts running simultaneously with velocity 'V' and catches the other boy in time 't'. The value of 't' is
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- 5A particle is moving with constant angular acceleration in circular path. At what time the magnitudes of its tangential acceleration and centripetal acceleration will be equal ?
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- 6A particle describes a horizontal circle of radius 'r' in conical funnel with smooth inner surface with a speed of m/s. The height of the plane of the circle from the vertex of the funnel is (acceleration due to gravity, )
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- 7A block of mass 'm' moving on a frictionless horizontal surface collides with a spring of spring constant 'K' and compresses it through a distance 'x'. The maximum momentum of the block after collision is
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- 8A Solid sphere has mass M and radius R. Its moment of inertia about a parallel axis passing through a point at a distance R/3 from its centre is
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- 9The masses and radii of the earth and moon are and and respectively, Their centres are at a distance 'd' apart. The minimum speed with which body of mass 'm' should be projected from a distance from the centre of so as to escape to infinity is
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- 10A rectangular block of mass 'm' and cross-sectional area 'A' floats on a liquid of density ''. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency (g=acceleration due to gravity)
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- 11A closed pipe containing liquid showed a pressure by gauge. When the valve was opened, pressure was reduced to . The speed of water flowing out of the pipe is (=density of water)
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- 12Water flows through a horizontal pipe at a speed 'V'. Internal diameter of the pipe is 'd'. If the water is emerging at a speed '' then the diameter of the nozzle is
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- 13A liquid is at rest in a container. In a sphere of influence, the liquid molecule at its centre is
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- 14Rate of flow of heat through a cylindrical rod is ''. The temperature at the ends of the rod are and . If all the dimensions of the rod become double and the temperature difference remains the same and if the rate of flow of heat becomes '' then
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- 15The energy spectrum of a black body exhibits a maximum around a wavelength ''. The temperature of the black body is now changed such that the energy is maximum around a wavelength . The power radiated by the black body will now increase by a factor
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- 16A black rectangular surface of area 'A' emits energy 'E' per second at C. If length and breadth is reduced to half of its initial value and temperature is raised to C then energy emitted per second becomes
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- 17A monoatomic gas at pressure P having volume V expands isothermally to a volume 3V and then adiabatically to a volume 81 V. The final pressure of the gas is .
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- 18An ideal gas at C is compressed adiabatically to of its original volume. If , then the rise in temperature of a gas is
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- 19The translational kinetic energy of the molecules of a gas at absolute temperature (T) can be doubled by
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- 20For a particle P performing S.H.M., when displacement is 'x', potential energy and restoring force acting on it is denoted by 'E' and 'F' respectively. The relation between x, E and F is
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- 21A progressive wave of frequency 50 Hz is travelling with velocity 350 m/s through a medium. The change in phase at given time interval of 0.01s is
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- 22When a sonometer wire vibrates in the third overtone, the number of antinodes and nodes formed on the wire are respectively
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- 23When the observer moves towards a stationary source with velocity '', the apparent frequency of the emitted note is ''. When the observer moves away from the source with velocity '', the apparent frequency is ''. If 'V' is the speed of sound in air and , then
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- 24The equation of wave motion is where x is in metre and time in second. The velocity of the wave is
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- 25The electric field in the region is where 'a' and 'b' are constants. The net electric flux passing through a square area of side 'l' parallel to Y-Z plane is
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- 26Two point charges and are kept at points A and B in air where distance cm. What is the increase in potential energy of the system when is moved towards , by 2 cm ?
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- 27The electric field between the plates of a parallel plate capacitor is 'E'. If the charge on the plates is Q then the force on each plate is
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- 28Two condensers of capacities, '2C' and 'C' are joined in parallel and charged upto potential 'V'. The battery is then disconnected and condenser of capacity 'C' is filled completely with a medium of dielectric constant 'K'. The potential difference across the capacitors in the second case is
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- 29A potentiometer wire is 4m long and potential difference of 3V is maintained between the ends. The e.m.f. of the cell which balances against a length of 100 cm of the potentiometer wire is
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- 30A metre bridge experiment, the resistance in the left gap is and in the right gap is . The bridge is balanced. The distance of the null point from the centre of the wire is
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- 31The magnetic moment produced in a sample of 2 gram is . If its density is 4 then the magnetization of the sample is
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- 32A wire carrying current 'I' along x axis has length 'L' and it is kept in a magnetic field T. The magnitude of magnetic force acting on the wire is
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- 33A charged particle is moving in a uniform magnetic field in a circular path of radius 'R'. When the energy of the particle becomes 3 times the original, the new radius will be
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- 34Torque acting on a coil carrying current 'I' situated parallel to magnetic field of induction 'B' having of turns 'n' and area 'A' is
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- 35A metal rod of length 'L' completes the circuit as shown. The area of the circuit is perpendicular to magnetic field 'B'. Total resistance of the circuit is 'R'. The force needed to move the rod in the direction as shown with constant speed 'V' is
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- 36When a capacitor is connected in series LR circuit, the alternating current flowing in the circuit
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- 37With gradual increase in frequency of an a.c. supply, the impedance of an LCR series circuit
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- 38An alternating e.m.f. is given by . In what time the e.m.f. will have half its maximum value, if 'e' Starts from zero?
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- 39A step down transformer has turns ratio 20:1. If 8V are applied across secondary then the primary current will be
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- 40A simple microscope is used to see the object first in blue light and then in red light. Due to the change from blue to red light, what is the effect on its magnifying power?
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- 41In Young's double slit experiment, the fringe width is 0.4 mm. What is the distance between dark band and bright band on the same side of the interference pattern?
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- 42The ratio of intensities at two points on the screen in Young's double slit experiment when waves from the two slits have a path difference of zero and is ( is the wavelength of light used)
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- 43In Young's double slit experiment, the distance between the slits is 3 mm and the slits are 2m away from the screen. Two interference patterns can be obtained on the screen due to light of wavelength 480 nm and 600 nm respectively. The separation on the screen between the order bright fringes on two interference patterns is
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- 44For a photosensitive material, work function is '' and stopping potential is 'V'. The wavelength of the incident radiation is (h=Planck's constant, c = velocity of light, e = electronic charge)
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- 45Using Einstein's photoelectric equation, the graphical representation between the kinetic energy (E) of emitted Photoelectrons and the frequency of incident radiation () is show correctly in figure
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- 46The force acting on the electron in hydrogen atom (Bohr's theory) is related to the principal quantum number n as
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- 47Using Bohr's atomic model, the orbital period of electron in hydrogen atom in the orbit is (=permittivity of free space, h=Planck's constant, m = mass of electron, e = electronic charge)
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- 48In a transistor amplifier, a change of 0.2 mA in the base current causes a change of 5 mA in the collector current. If input resistance is and voltage gain is 75, the load resistance used in the circuit is
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- 49The resultant gate and its Boolean expression in the given circuit is
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- 50When a small amount of impurity atoms are added to a semiconductor then generally its resistivity
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Chemistry
50 questions
- 51Calculate the amount of aluminium present in if the compound contains 4 g of sulfur. [Molar mass of sulfur = 32 g/mol , Molar mass of Al =27 g/mol ]
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- 52What is the observed electronic configuration of Cu ?
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- 53What is the energy of an electron in a hydrogen atom in a stationary state corresponding to n = 2 ?
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- 54Identify increasing order of acidity for following diprotic acids in aqueous solutions.
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- 55Which of the following molecules is paramagnetic?
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- 56Which of the following statements is true about ideal gas ?
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- 57What is the change in entropy of surrounding for the reaction, at 298 K if standard enthalpy of formation of water is kJ ?
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- 58In a particular reaction, 4 kJ heat is released by the system and 12 kJ work done on the system. Calculate the and .
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- 59Which of the following relations is correct for a reaction ?
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- 60The solubility product of a sparingly soluble salt BA is . Calculate it's solubility in g . Molar mass of salt is 190 g .
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- 61The solubility of AgCl in 0.1 M NaCl is S mol/L. If the solubility product of AgCl is , then S is approximately:
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- 62Identify from following a weak electrolyte based on their dissociation nature in aqueous medium.
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- 63What is the oxidation number of oxygen in ?
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- 64The most abundant element in the universe is
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- 65Which of the following compounds is formed when chlorine reacts with dry slake lime ?
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- 66Which of the following is an aromatic alcohol?
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- 67What type of following reactions, the oxidative rancidity is?
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- 68Find the number of hyperconjugation structures in the isopropyl carbocation.
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- 69Which from following alkenes is highly stabilized ?
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- 70Which of the following alkanes is NOT obtained when a mixture of ethyl iodide and n-propyl iodide is subjected to Wurtz reaction?
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- 71A compound forms hcp structure. What is the number of tetrahedral voids formed in 0.8 mol of it.
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- 72Calculate the number of atoms present in 90 g of metal if it forms bcc structure. g ]
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- 73In the fcc structure, the number of tetrahedral holes per sphere is
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- 74For a binary solution, when a nonvolatile nonelectrolyte solute is dissolved in solvent, the vapour pressure of solvent decreases by 20 % . what is mole fraction of solvent in solution ?
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- 75Calculate the boiling point of an aqueous solution containing 18 g glucose in 100 g water if the molal elevation constant of water is 0.5 K kg . [Molar mass of glucose g and boiling point of water ]
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- 76Which of the following is the colligative property of a solution?
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- 77Identify the reaction from following so that the standard potential of electrode is 0.34 V. with respective to SHE ?
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- 78The cells A and B contain aqueous solutions of ferrous chloride and ferric chloride respectively. The mass of iron deposited by the same quantity of electricity in cells A and B is in the ratio.
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- 79What happens during the discharge of a lead storage battery?
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- 80The rate constant of reaction is at 300 K and at 330 K. What is the activation energy for the reaction? [ ]
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- 81The rate constant for the reaction is . If the rate is mole then the concentration of (mol ) is
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- 82What is order of radioactive decay of a substance ?
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- 83Nano materials not applied in
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- 84Which of the following properties is responsible for the development of colour to the colloids?
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- 85Identify the factor responsible for colour of transition metal compounds.
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- 86Identify the number of unpaired electrons present and geometry respectively of complex.
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- 87Identify oxidation state of cobalt ion in the complex, .
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- 88Which of the following alkyl halides is hydrolyzed most rapidly by the mechanism ?
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- 89Which of the following alkyl halides undergoes reaction most readily?
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- 90What is the nature of alcohols in aqueous medium?
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- 91Which of following observations is found in Tollens test for aldehydes?
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- 92An organic compound is taken in two different containers A and B. Sample in A is treated with / Ni forming new compound P. Sample in B is treated with and hydrolyzed further forming new compound Q. Identify P and Q.
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- 93What is the common name for the simplest carboxylic acid, HCOOH ?
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- 94Which of the following reactions uses diazonium salt ?
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- 95Which of the following statements is NOT correct?
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- 96Identify the linkage in backbone of single strand of DNA ?
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- 97Which of the following ionic species is present in hemoglobin and responsible for transformation of oxygen ?
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- 98Which of the following processes develops cross-links in elastomer?
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- 99Which of the following is not a basis of classification of polymers ?
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- 100Which of the following detergents is used as germicide?
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