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MHT-CET 2024 (11 May Shift 1), 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
    A coil of radius rr is placed on another coil (whose radius is RR and current flowing through it is changing) so that their centres coincide (R≫r)(R \gg r). If both the coils are coplanar then the mutual inductance between them is (μ0\mu_0 = permeability of free space)

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  2. 2
    Two capillary tubes of the same diameter are kept vertically in two different liquids whose densities are in the ratio 4:34:3. The rise of liquid in two capillaries is h1h_1 and h2h_2 respectively. If the surface tensions of liquids are in the ratio 6:56:5, the ratio of heights h1h2\frac{h_1}{h_2} is (Assume that their angles of contact are same)

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  3. 3
    Two spherical black bodies of radii r1r_1 and r2r_2 at temperature T1T_1 and T2T_2 respectively radiate power in the ratio 1:21:2. Then r1:r2r_1 : r_2 is

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  4. 4
    For a particle executing S.H.M., its potential energy is 8 times its kinetic energy at certain displacement xx from the mean position. If AA is the amplitude of S.H.M the value of xx is

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  5. 5
    The maximum kinetic energies of photoelectrons emitted are K1K_1 and K2K_2 when lights of wavelengths λ1\lambda_1 and λ2\lambda_2 are incident on a metallic surface. If λ1=3λ2\lambda_1 = 3\lambda_2 then

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  6. 6
    A particle moves along a circular path with decreasing speed. Hence

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  7. 7
    Identify the correct circuit diagrams for the normal operation from the following.

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  8. 8
    With the gradual increase in frequency of an a.c. source, the impedance of an LCR series circuit

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  9. 9
    In energy band diagram of insulators, a band gap and the conduction band is respectively

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  10. 10
    Two positively charged identical spheres separated by a distance dd exert some force (F) on each other when they are kept in air. If both the spheres are immersed in a liquid of dielectric constant 5, the force experienced by each is (All other parameters are unchanged.)

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  11. 11
    A string fixed at both the ends forms standing wave with node separation of 5 cm. If the velocity of the wave on the string is 2 m/s, then the frequency of vibration of the string is

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  12. 12
    A ball of mass mm is attached to the free end of a string of length ll. The ball is moving in horizontal circular path about the vertical axis as shown in the diagram. The angular velocity ω\omega of the ball will be [TT = Tension in the string.]

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  13. 13
    Radius of gyration of a thin uniform circular disc about the axis passing through its centre and perpendicular to its plane is KcK_c. Radius of gyration of the same disc about a diameter of the disc is KdK_d. The ratio Kc:KdK_c : K_d is

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  14. 14
    When a current of 1 A is passed through a coil of 100 turns, the flux associated with it is 2.5×10−52.5 \times 10^{-5} Wb/turn. The self inductance of the coil in millihenry is

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  15. 15
    A spherical liquid drop of radius RR is divided into 8 equal droplets. If surface tension is S, then the work done in this process will be

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  16. 16
    The rate of flow of heat through a metal rod with temperature difference 40∘40^\circC is 1600 cal/s. The thermal resistance of metal rod in ∘^\circC·s/cal is

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  17. 17
    Two charges of equal magnitude qq are placed in air at a distance 2r2r apart and third charge −2q-2q is placed at mid point. The potential energy of the system is (ε0\varepsilon_0 = permittivity of free space)

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  18. 18
    The size of the real image produced by a convex lens of focal length F is mm times the size of the object. The image distance from the lens is

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  19. 19
    A double slit experiment is immersed in water of refractive index 1.33. The slit separation is 1 mm, distance between slit and screen is 1.33 m. The slits are illuminated by a light of wavelength 6300 Å. The fringe width is

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  20. 20
    Potential difference between the points P and Q is nearly

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  21. 21
    An electron in the hydrogen atom jumps from the first excited state to the ground state. What will be the percentage change in the speed of electron?

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  22. 22
    In series LCR circuit, the voltage across the inductance and the capacitance are not

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  23. 23
    If the temperature of a hot body is increased by 50%, then the increase in the quantity of emitted heat radiation will be approximately

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  24. 24
    The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe of length LL. The length of the open pipe will be

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  25. 25
    The radius of earth is 6400 km and acceleration due to gravity =10= 10 ms−2^{-2}. For the weight of body of mass 5 kg to be zero on equator, rotational velocity of the earth must be (in rad/s)

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  26. 26
    A car sounding a horn of frequency 1000 Hz passes a stationary observer. The ratio of frequencies of the horn noted by the observer before and after passing the car is 11:911:9. If the speed of sound is vv, the speed of the car is

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  27. 27
    The time period of a simple pendulum inside a stationary lift is TT. When the lift starts accelerating upwards with an acceleration g3\frac{g}{3}, the time period of the pendulum will be

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  28. 28
    The mutual inductance of a pair of coils, each of N turns, is M henry. If a current of I ampere in one of the coils is brought to zero in t second, the e.m.f. induced per turn in the other coil in volt is

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  29. 29
    To manufacture a solenoid of length 1 m and inductance 1 mH, the length of thin wire required is (cross-sectional diameter of a solenoid is considerably less than the length)

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  30. 30
    In a radioactive disintegration, the ratio of initial number of atoms to the number of atoms present at time t=12λt = \frac{1}{2\lambda} is [λ\lambda = decay constant]

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  31. 31
    A bullet is fired on a target with velocity V. Its velocity decreases from V to V/2 when it penetrates 30 cm in a target. Through what thickness it will penetrate further in the target before coming to rest?

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  32. 32
    In the experiment of diffraction due to a single slit, if the slit width is decreased, the width of the central maximum

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  33. 33
    A cylindrical magnetic rod has length 5 cm and diameter 1 cm. It has uniform magnetization 5.3×1035.3 \times 10^3 A/m. Its net magnetic dipole moment is nearly.

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  34. 34
    In biprism experiment, if 5th bright band with wavelength λ1\lambda_1 coincides with 6th dark band with wavelength λ2\lambda_2 then the ratio λ2λ1\frac{\lambda_2}{\lambda_1} is

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  35. 35
    A body of mass m kg starts falling from a distance 3R above earth's surface. When it reaches a distance R above the surface of the earth of radius R and mass M, then its kinetic energy is

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  36. 36
    In the case of NAND gate, if A and B are the inputs and Y is the output then

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  37. 37
    A monoatomic gas at pressure P, having volume V expands isothermally to a volume 2V and then adiabatically to a volume 16V. The final pressure of the gas is (Take γ=5/3\gamma = 5/3)

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  38. 38
    In potentiometer experiments, two cells of e.m.f. E1E_1 and E2E_2 are connected in series E1>E2E_1 > E_2, the balancing length is 64 cm of the wire. If the polarity of E2E_2 is reversed, the balancing length becomes 32 cm. The ratio E1/E2E_1/E_2 is

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  39. 39
    A diatomic gas γ=75\gamma = \frac{7}{5} is compressed adiabatically to volume Vi32\frac{V_i}{32} where ViV_i is its initial volume. The initial temperature of the gas is TiT_i in Kelvin and the final temperature is xTixT_i. The value of x is

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  40. 40
    A disc has mass M and radius R. How much tangential force should be applied to the rim of the disc, so as to rotate with angular velocity ω\omega in time t?

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  41. 41
    An electron moving with velocity 1.6×1071.6 \times 10^7 m/s has wavelength of 0.4 Å. The required accelerating voltage for the electron motion is [charge on electron =1.6×10−19= 1.6\times10^{-19} C, mass of electron =9×10−31= 9\times10^{-31} kg]

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  42. 42
    The prism has refracting angle A. The second refracting surface of the prism is silvered. Light ray falling on first refracting surface with angle of incidence 2A, reaches the second surface and returns back through the same path due to reflection at the silvered surface. The refractive index of the material of the prism is

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  43. 43
    Two parallel wires of equal lengths are separated by a distance of 3 m from each other. The currents flowing through 1st and 2nd wire is 3 A and 4.5 A respectively in opposite directions. The resultant magnetic field at mid point between the wires (μ0\mu_0 = permeability of free space)

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  44. 44
    Three point charges +q,+2q+q, +2q and +Q+Q are placed at the three vertices of an equilateral triangle. If the potential energy of the system of three charges is zero, the value of Q in terms of q is

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  45. 45
    If a gas is compressed isothermally then the r.m.s. velocity of the molecules

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  46. 46
    The bob of a simple pendulum of length L has a mass m and charge q. The pendulum is suspended between the plates of a charged parallel plate capacitor. The direction of electric field is shown in figure. The period of oscillations of the simple pendulum is (acceleration due to gravity g>qE/mg > qE/m)

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  47. 47
    Two identical capacitors have the same capacitance C. One of them is charged to a potential V1V_1 and the other to V2V_2. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is

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  48. 48
    A transverse wave Y=2sin⁡(0.01x+30t)Y = 2\sin(0.01x + 30t) moves on a stretched string from one end to another end in 0.5 second. If x and y are in cm and t in second, then the length of the string is

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  49. 49
    A body of density ρ\rho is dropped from rest at a height h into a lake of density σ\sigma (σ>ρ)(\sigma > \rho). The maximum depth to which the body sinks before returning to float on the surface is (neglect air dissipative forces)

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  50. 50
    Two trains each 30 m long are travelling in opposite directions with velocities 5 m/s and 10 m/s. They will cross after

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Chemistry

50 questions

  1. 51
    Name the accelerator used to introduce network of crosslinks in elastomer.

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  2. 52
    Which of the following is a property of alkali metals?

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  3. 53
    The IUPAC name of following compound is:

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  4. 54
    If KbK_b denotes molal elevation constant of water, then boiling point of an aqueous solution containing 36 g glucose (molar mass = 180) per dm3^3 is:

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  5. 55
    Which metal halide from following has lowest ionic character (M = metal atom)?

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  6. 56
    Which among the following reagents is called as Hinsberg's reagent?

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  7. 57
    Which among the following amines has highest value of pKbpK_b?

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  8. 58
    What is vapour pressure of a solution containing 1 mol of a non-volatile solute in 36 g of water (P10=32(P_1^0 = 32 mmHg)?

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  9. 59
    Identify the product obtained when phenol is reacted with dilute nitric acid at low temperature.

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  10. 60
    For an elementary reaction 2A+B→3C2A + B \rightarrow 3C. Rate of appearance of C is 1.3×10−41.3\times10^{-4} mol L−1^{-1} s−1^{-1}, the rate of disappearance of A is:

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  11. 61
    Which among the following alkenes is most stable?

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  12. 62
    Identify a CORRECT formula for spin only magnetic moment.

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  13. 63
    Which of the following salts turns red litmus blue in its aqueous solution?

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  14. 64
    What is the value of increase in internal energy when work done by a system is 8 J when 40 J Heat is supplied to it?

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  15. 65
    Benzonitrile on reduction with stannous chloride in presence of hydrochloric acid followed by acid hydrolysis forms:

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  16. 66
    Which among the following is TRUE for isobaric process?

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  17. 67
    Which among the following statements is TRUE about gammexane?

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  18. 68
    Which of the following is primary allylic alcohol?

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  19. 69
    Which of following is NOT correct about fructose?

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  20. 70
    Which among following salts shows decrease in solubility with increase in temperature?

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  21. 71
    Find the number of faradays of electricity required to produce 45 g of Al from molten Al2O3Al_2O_3. (At. Mass of Al = 27)

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  22. 72
    Identify the reagent that confirms the presence of five -OH groups in glucose.

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  23. 73
    What is the concentration of OH−OH^- ion in a solution containing 0.05 M H+0.05\text{ M } H^+ ions?

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  24. 74
    Which formula is used to calculate edge length in bcc structure?

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  25. 75
    Identify the products of following reaction: Methanal + Benzene carbaldehyde →i. conc. NaOH, ii. H3O+\xrightarrow{\text{i. conc. NaOH, ii. H}_3\text{O}^+}

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  26. 76
    What is the volume in dm3^3 occupied by 3 mol of ammonia gas at STP?

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  27. 77
    Slope of the graph between log⁡[A]0[A]t\log\frac{[A]_0}{[A]_t} (y axis) and time (x axis) for first order reaction is equal to:

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  28. 78
    What is total number of donor atoms in [Co(H2O)(NH3)5]I3[Co(H_2O)(NH_3)_5]I_3?

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  29. 79
    Which from following equations is used to express the angular momentum of an electron in a stationary state?

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  30. 80
    Which emission transition series is obtained when electron jumps from n2=∞n_2 = \infty to n1=1n_1 = 1?

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  31. 81
    What is half life time of a first order reaction if initial conc. of reactant is 0.01 mol L−1^{-1} and rate of reaction is 0.003520.00352 mol L−1^{-1} minute−1^{-1}?

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  32. 82
    Which among the following pairs of polymers contains both members as copolymers?

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  33. 83
    What is atomic mass of an element with BCC structure and density 10 g cm−3^{-3} having edge length 300 pm?

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  34. 84
    Oxidation state of manganese in potassium permanganate is:

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  35. 85
    Which among following complex is a neutral complex?

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  36. 86
    Which among the following halogens combines readily with metals to form metal halides with highest ionic character?

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  37. 87
    Which of the following compounds has highest boiling point?

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  38. 88
    Identify physisorption from following.

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  39. 89
    Identify the product of following reaction. Benzoyl chloride →H2O\xrightarrow{H_2O} product

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  40. 90
    What is IUPAC name of the compound?

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  41. 91
    Calculate the pH of 1.36×10−21.36\times10^{-2} M solution of perchloric acid.

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  42. 92
    Which of the following formulae is used to determine compressibility factor for measurement of deviation from ideal behaviour?

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  43. 93
    The molar conductivity of 0.02 M AgI at 298 K is 142.3 Ω⁻¹ cm² mol⁻¹. What is its conductivity?

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  44. 94
    What is IUPAC name of following compound?

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  45. 95
    Identify a molecule with incomplete octet from following.

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  46. 96
    What is the number of unit cells present in a cubic pack crystal lattice having 4 atoms per unit cell and weighing 0.60 g (molar mass 60 g mol−1^{-1})?

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  47. 97
    Identify A in the following reaction. A + Chloromethane →Anhydrous AlCl3\xrightarrow{\text{Anhydrous }AlCl_3} 2-Chlorotoluene + 4-Chlorotoluene

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  48. 98
    Which among the following is CORRECT formula for determination of cell constant?

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  49. 99
    Identify the catalyst (A) used in following reaction. CO+H2O⇌CO2+H2CO + H_2O \underset{}{\rightleftharpoons} CO_2 + H_2

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  50. 100
    What is value of PV type of work for following reaction at 1-bar? C2H4(g) (200 mL)+HCl(g) (150 mL)→C2H5Cl(g)C_2H_4(g)\,(200\text{ mL}) + HCl(g)\,(150\text{ mL}) \rightarrow C_2H_5Cl(g)

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