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MHT-CET 2024 (9 May Shift 2), 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 coils A and B have mutual inductance 0.0080.008 H. The current changes in the coil A, according to the equation I=Imsin⁡ωtI = I_m \sin\omega t, where Im=5I_m = 5 A and ω=200π\omega = 200\pi rad s−1^{-1}. The maximum value of the e.m.f. induced in the coil B in volt is

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  2. 2
    In a transistor, in common emitter configuration, the ratio of power gain to voltage gain is

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  3. 3
    In Young's double slit experiment, the wavelength of light used is λ\lambda. The intensity at a point is II where path difference is λ4\frac{\lambda}{4}. If I0I_0 denotes the maximum intensity, then the ratio II0\frac{I}{I_0} is (sin⁡π4=cos⁡π4=12)\left(\sin\frac{\pi}{4} = \cos\frac{\pi}{4} = \frac{1}{\sqrt{2}}\right)

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  4. 4
    The equation of simple harmonic progressive wave is given by y=asin⁡2π(bt−cx)y = a\sin 2\pi(bt - cx). The maximum particle velocity will be half the wave velocity, if c=c =

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  5. 5
    Stationary waves can be produced in

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  6. 6
    A fluid of density ρ\rho and viscosity η\eta is flowing through a pipe of diameter dd with a velocity vv. Reynolds number is

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  7. 7
    When a certain metal surface is illuminated with light of frequency vv, the stopping potential for photoelectric current is V0V_0. When the same surface is illuminated by light of frequency v2\frac{v}{2}, the stopping potential is V04\frac{V_0}{4}, the threshold frequency for photoelectric emission is

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  8. 8
    If the length of an open organ pipe is 33.3 cm, then the frequency of fifth overtone is [Neglect end correction, velocity of sound =333= 333 m/s]

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  9. 9
    When photons of energies twice and thrice the work function of a metal are incident on the metal surface one after other, the maximum velocities of the photoelectrons emitted in the two cases are V1V_1 and V2V_2 respectively. The ratio V1:V2V_1 : V_2 is

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  10. 10
    A soap bubble of radius RR is blown. After heating a solution, a second bubble of radius 2R2R is blown. The work required to blow the 2nd bubble in comparison to that required for the 1st bubble is

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  11. 11
    If a ray of light in denser medium strikes a rarer medium at an angle of incidence ii, the angles of reflection and refraction are rr and r′r' respectively. If the reflected and refracted rays are at right angles to each other, the critical angle for the given pair of media is

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  12. 12
    Light of wavelength λ\lambda is incident on a slit of width dd. The resulting diffraction pattern is observed on a screen at a distance DD. The linear width of the principal maximum is then equal to the width of the slit if DD equals

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  13. 13
    A parallel combination of two capacitors of capacities 2C2C and CC is connected across 5 V battery. When they are fully charged, E1−E2Q1−Q2\frac{E_1 - E_2}{Q_1 - Q_2} J/C is (capacity in Farad, charge in Coulomb, energy in J)

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  14. 14
    The pressure exerted by an ideal gas at a particular temperature is directly proportional to

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  15. 15
    A disc of radius RR and thickness R6\frac{R}{6} has moment of inertia II about an axis passing through its centre and perpendicular to its plane. Disc is melted and recast into a solid sphere. The moment of inertia of the sphere about its diameter is

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  16. 16
    The side of a copper cube is 1 m at 0∘0^\circC. What will be the change in its volume, when it is heated to 100∘100^\circC? αcopper=18×10−6\alpha_{copper} = 18\times10^{-6}/°C

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  17. 17
    If current II is flowing in the closed circuit with collective resistance RR, the rate of production of heat energy in the loop as we pull it along with a constant speed VV is (LL = length of conductor, BB = magnetic field)

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  18. 18
    The force acting on the electron in hydrogen atom (Bohr's theory) is related to the principal quantum number nn as

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  19. 19
    The mutual inductance (M) of the two coils is 3 H. The self inductances of the coils are 4 H and 9 H respectively. The coefficient of coupling between the coils is

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  20. 20
    Five current carrying conductors meet at a point O as shown in figure. The magnitude and direction of the current in conductor OP is

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  21. 21
    A galvanometer of resistance 20 Ω20\,\Omega gives a deflection of 5 divisions when 1 mA current flows through it. The galvanometer scale has 50 divisions. To convert the galvanometer into a voltmeter of range 25 volt, we should connect a resistance of

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  22. 22
    A particle at rest starts moving with constant angular acceleration 44 rad/s2^2 in circular path. At what time the magnitudes of its tangential acceleration and centripetal acceleration will be equal?

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  23. 23
    Consider the following statements A and B. Identify the correct choice. A. In an inelastic collision, there is no loss in kinetic energy during collision. B. During a collision, the linear momentum of the entire system of particles is conserved if there is no external force acting on the system.

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  24. 24
    A gas at N.T.P. is suddenly compressed to one-fourth of its original volume. If γ=1.5\gamma = 1.5, then the final pressure is

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  25. 25
    If the frequency of the input voltage is 50 Hz, applied to (a) half wave rectifier and (b) full wave rectifier. The output frequency in both cases is respectively

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  26. 26
    Periodic time of a satellite revolving above the earth's surface at a height equal to radius of the earth RR is (gg = acceleration due to gravity)

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  27. 27
    A spring has a certain mass suspended from it and its period for vertical oscillations is T1T_1. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now T2T_2. The ratio T1/T2T_1/T_2 is

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  28. 28
    A particle of mass mm moves along a circle of radius rr with constant tangential acceleration. If K.E. of the particle is EE by the end of third revolution after beginning of the motion, then magnitude of tangential acceleration is

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  29. 29
    When a charge of 3 C is placed in uniform electric field, it experiences a force of 3000 N. Within this field, potential difference between two points separated by a distance of 1 cm is

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  30. 30
    A thin rod of length LL has magnetic moment MM when magnetised. If rod is bent in a semicircular arc what is magnetic moment in new shape?

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  31. 31
    In the reverse biasing of a p-n junction diode

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  32. 32
    An alternating voltage of frequency ω\omega is induced in electric circuit consisting of an inductance LL and capacitance CC, connected in parallel. Then across the inductance coil

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  33. 33
    An e.m.f. E=4cos⁡(1000t)E = 4\cos(1000t) volt is applied to an LR circuit of inductance 3 mH and resistance 4 Ω4\,\Omega. The maximum current in the circuit is

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  34. 34
    A film of soap solution is formed between two straight parallel wires of length 10 cm each separated by 0.5 cm. If their separation is increased by 1 mm while still maintaining their parallelism. How much work will have to be done? (surface tension of solution =65×10−2= 65 \times 10^{-2} N/m)

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  35. 35
    The charges 2q,−q,−q2q, -q, -q are located at the vertices of an equilateral triangle. At the circumcentre of the triangle

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  36. 36
    A charge qq moves with velocity v⃗\vec{v} through electric field E⃗\vec{E} as well as magnetic field B⃗\vec{B}. Then the force acting on it is

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  37. 37
    If the end correction of an open pipe is 0.8 cm, then the inner radius of that pipe is

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  38. 38
    A simple pendulum of length 2 m is given a horizontal push through angular displacement of 60∘60^\circ. If the mass of bob is 200 g, the angular velocity of the bob will be (Take g=10g = 10 m/s2^2; sin⁡30∘=cos⁡60∘=0.5,  cos⁡30∘=sin⁡60∘=3/2\sin 30^\circ = \cos 60^\circ = 0.5,\;\cos 30^\circ = \sin 60^\circ = \sqrt{3}/2)

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  39. 39
    10 A current is flowing in two straight parallel wires in the same direction. Force of attraction between them is 1×10−31 \times 10^{-3} N. If the current is doubled in both the wires the force will be

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  40. 40
    In Young's double slit experiment, the fringe width is 2 mm. The separation between the 13th bright fringe and the 4th dark fringe from the centre of the screen on the same side will be

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  41. 41
    An ideal gas in a container of volume 500 cc is at a pressure of 2×1052 \times 10^5 N/m2^2. The average kinetic energy of each molecule is 6×10−216 \times 10^{-21} J. The number of gas molecules in the container is

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  42. 42
    A particle is vibrating in S.H.M. with an amplitude of 4 cm. At what displacement from the equilibrium position is its energy half potential and half kinetic?

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  43. 43
    The temperature of an ideal gas is increased from 27∘27^\circC to 927∘927^\circC. The r.m.s. speed of its molecules becomes

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  44. 44
    A gas is compressed at a constant pressure of 50 N/m2^2 from a volume of 10 m3^3 to a volume of 4 m3^3. Energy of 100 J is then added to the gas by heating. Its internal energy is

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  45. 45
    Consider a planet whose density is same as that of the earth but whose radius is three times the radius RR of the earth. The acceleration due to gravity gpg_p on the surface of the planet is gp=xgg_p = xg. The value of xx is

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  46. 46
    A transparent glass cube of length 24 cm has a small air bubble trapped inside. When seen normally through one surface from air outside, its apparent distance is 10 cm from the surface. When seen normally from opposite surface, its apparent distance is 6 cm. The distance of the air bubble from first surface is

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  47. 47
    The reactance of capacitor at 50 Hz is 5 Ω5\,\Omega. If the frequency is increased to 100 Hz, the new reactance is

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  48. 48
    The magnetic field at a point P situated at perpendicular distance RR from a long straight wire carrying a current of 12 A is 3×10−53 \times 10^{-5} Wb/m2^2. The value of RR in mm is [μ0=4π×10−7\mu_0 = 4\pi \times 10^{-7} Wb/Am]

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  49. 49
    The wavelength of light for the least energetic photons emitted in the Lyman series of the hydrogen spectrum is nearly [Take hc=1240hc = 1240 eV·nm, change in energy of the levels =10.2= 10.2 eV]

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  50. 50
    Two S.H.M.s are represented by equations y1=0.1sin⁡ ⁣(100πt+π3)y_1 = 0.1\sin\!\left(100\pi t + \frac{\pi}{3}\right) and y2=0.1cos⁡(100πt)y_2 = 0.1\cos(100\pi t). The phase difference between the speeds of the two particles is

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Chemistry

50 questions

  1. 51
    For NaCl(s) enthalpy of solution is 44 kJ mol−1^{-1} and lattice enthalpy is 790790 kJ mol−1^{-1}. What is hydration enthalpy of NaCl?

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  2. 52
    Which among the following gases exhibits very low solubility in water at room temperature?

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  3. 53
    Find solubility of PbI2\text{PbI}_2 if its solubility product is 7.0×10−97.0 \times 10^{-9}.

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  4. 54
    Identify monodentate ligand from following.

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  5. 55
    Identify the product formed when vapours of 2-methylpropan-2-ol are passed over hot copper.

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  6. 56
    An ideal gas expands by 1.5 L against a constant external pressure of 2 atm at 298 K. Calculate the work done?

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  7. 57
    Which of following is SI Unit of coefficient of viscosity?

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  8. 58
    A solution of nonvolatile solute is obtained by dissolving 1 g in 100 g solvent, decreases its freezing point by 0.3 K. Calculate cryoscopic constant of solvent if molar mass of solute is 60 g mol−1^{-1}.

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  9. 59
    Which from following polymers is grouped in the category of elastomers?

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  10. 60
    What is the concentration of H3O+\text{H}_3\text{O}^+ ion in mol L−1^{-1} of 0.001 M acetic acid (α=0.134)(\alpha = 0.134)?

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  11. 61
    Identify the trisaccharide from following.

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  12. 62
    The rate law for the reaction A+B→productA + B \to \text{product} is given by rate =k[A][B]= k[A][B]. Calculate [A] if rate of reaction and rate constant are 0.25 mol dm−3^{-3} s−1^{-1} and 6.25 mol−1^{-1} dm³ s−1^{-1} respectively, [B]=0.25[B] = 0.25 mol dm−3^{-3}.

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  13. 63
    What is the value of ΔH−ΔU\Delta H - \Delta U for the following reaction? 2C(s)+3H2(g)→C2H6(g)2\text{C(s)} + 3\text{H}_2\text{(g)} \to \text{C}_2\text{H}_6\text{(g)}

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  14. 64
    Which from following coordinate complexes contains anionic and neutral ligands in it?

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  15. 65
    Identify the reagent 'A' used in the following conversion: Ethyl bromide →A\xrightarrow{A} Ethyl propanoate

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  16. 66
    Calculate the rate constant of first order reaction if the concentration of the reactant decreases by 90% in 30 minutes.

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  17. 67
    What is IUPAC name of propylene glycerol?

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  18. 68
    Which element from following exhibits diagonal relationship with beryllium?

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  19. 69
    What is the number of moles of sp² hybrid carbon atoms present in nn moles of isopentane?

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  20. 70
    Which of the following statements is NOT true about Rutherford atomic model?

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  21. 71
    Find the average rate of formation of O2_2(g) in the following reaction: 2NO2(g)→2NO(g)+O2(g)2\text{NO}_2(\text{g}) \to 2\text{NO}(\text{g}) + \text{O}_2(\text{g}); Δ[NO]Δt=x\frac{\Delta[\text{NO}]}{\Delta t} = x mol dm−3^{-3} s−1^{-1}

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  22. 72
    Identify the correct decreasing order of melting point of cluster of sodium atoms depending on size.

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  23. 73
    Which of the following colloids is NOT a gel?

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  24. 74
    What is the number of electrons around sulfur in H2SO4\text{H}_2\text{SO}_4 molecule?

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  25. 75
    Find the radius of metal atom in simple cubic unit cell having edge length 334.7 pm?

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  26. 76
    Which from following is a correct bond line formula of HO(CH2)3CH(CH3)CH(CH3)2\text{HO(CH}_2)_3\text{CH(CH}_3)\text{CH(CH}_3)_2?

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  27. 77
    What different elements are found in baryte?

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  28. 78
    Identify linear polymer from following.

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  29. 79
    Which among the following reactions occurs by breaking of C–O bond in alcohol?

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  30. 80
    What is the wave number of photon emitted during transition from orbit n=4n = 4 to n=2n = 2 in hydrogen atom? (RH=109677R_H = 109677 cm−1^{-1})

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  31. 81
    Which from the following compound solutions in water of equal concentration has electrical conductivity nearly same as distilled water?

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  32. 82
    What is the conductivity of 0.050.05 M BaCl2_2 solution if its molar conductivity is 220 Ω−1220\,\Omega^{-1} cm² mol−1^{-1}?

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  33. 83
    What is the stock notation of Manganese dioxide?

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  34. 84
    A reaction Ni(s)+Cu2+(aq)→Ni2+(aq)+Cu(s)\text{Ni(s)} + \text{Cu}^{2+}(\text{aq}) \to \text{Ni}^{2+}(\text{aq}) + \text{Cu(s)} occurs in a cell. Calculate Ecell∘E^\circ_{cell} if ECu∘=0.337E^\circ_{Cu} = 0.337 V and ENi∘=−0.257E^\circ_{Ni} = -0.257 V.

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  35. 85
    What volume of ammonia is formed when 10 dm³ dinitrogen reacts with 30 dm³ dihydrogen at same temperature and pressure?

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  36. 86
    Identify the product 'B' in the following reaction: Cumene →KMnO4/KOH,Δ\xrightarrow{\text{KMnO}_4/\text{KOH}, \Delta} A →H3O+\xrightarrow{\text{H}_3\text{O}^+} B

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  37. 87
    Which of the following on reaction with ammoniacal silver nitrate forms silver precipitate?

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  38. 88
    Identify an aromatic, mixed, 3° amine from following.

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  39. 89
    Which from following statements regarding transition elements is NOT CORRECT?

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  40. 90
    A solution of 8 g of certain organic compound in 2 dm³ water develops osmotic pressure 0.6 atm at 300 K. Calculate the molar mass of compound. R=0.082R = 0.082 atm dm³ K−1^{-1} mol−1^{-1}

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  41. 91
    What is the pH of a solution containing 2.2×10−62.2 \times 10^{-6} M hydrogen ions?

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  42. 92
    Which among the following is allylic halide?

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  43. 93
    Which of the following compounds has the highest boiling point?

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  44. 94
    What is the IUPAC name of allylamine?

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  45. 95
    Identify the carbon atoms of α\alpha-glucose and β\beta-fructose forming glycosidic linkage in sucrose.

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  46. 96
    Calculate the molar mass of an element having density 2121 g cm−3^{-3} that forms fcc unit cell, a3⋅NA=36a^3 \cdot N_A = 36 cm³ mol−1^{-1}.

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  47. 97
    Which from following metal has ccp crystal structure?

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  48. 98
    Which group elements from following are called as chalcogens?

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  49. 99
    Which among the following has the lowest boiling point?

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  50. 100
    Identify the element from following having six unpaired electrons in observed electronic configuration?

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