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MHT-CET 2023 (4 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
    According to the law of equipartition of energy, the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is

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  2. 2
    A parallel plate air capacitor, with plate separation dd has a capacitance of 9 pF. The space between the plates is now filled with two dielectrics, the first having K1=3K_1 = 3 and thickness d1=d/3d_1 = d/3, while the 2nd has K2=6K_2 = 6 and thickness d2=2d/3d_2 = 2d/3. The capacitance of the new capacitor is

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  3. 3
    The collector supply voltage is 6 V and a voltage drop across a resistor of 600 Ω600\,\Omega in the collector circuit is 0.6 V, in a circuit of transistor connected in common emitter mode. If the current gain is 20, then the base current is

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  4. 4
    The velocity of a particle executing S.H.M. varies with displacement (x)(x) as 4V2=50−x24V^2 = 50 - x^2. The time period of oscillation is x7\frac{x}{7} second. The value of xx is (Take π=227\pi = \frac{22}{7})

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  5. 5
    For a projectile, the maximum height and horizontal range are same. The angle of projection θ\theta of the projectile is

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  6. 6
    For the given figure, choose the correct option.

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  7. 7
    A disc and a ring both have same mass and radius. The ratio of moment of inertia of the disc about its diameter to that of a ring about a tangent in its plane is

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  8. 8
    Two waves Y1=0.25sin⁡316tY_1 = 0.25\sin 316t and Y2=0.25sin⁡310tY_2 = 0.25\sin 310t are propagating along the same direction. The number of beats produced per second are

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  9. 9
    In a meter bridge experiment, the balance point is obtained if the gaps are closed by 2 Ω2\,\Omega and 3 Ω3\,\Omega. A shunt of X ΩX\,\Omega is added to 3 Ω3\,\Omega resistor to shift the null point by 22.5 cm. The value of xx is

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  10. 10
    Water rises up to height XX in a capillary tube immersed vertically in water. When the whole arrangement is taken to a depth dd in a mine, the water level rises up to height YY. If RR is the radius of earth, then the ratio YX\frac{Y}{X} is

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  11. 11
    In an equilateral prism the ray undergoes minimum deviation when it is incident at an angle of 50∘50^\circ. The angle of minimum deviation is

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  12. 12
    A rotating body has angular momentum LL. If its frequency is doubled and kinetic energy is halved, its angular momentum will be

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  13. 13
    The distance between two consecutive points with phase difference of 60∘60^\circ in a wave of frequency 500 Hz is 0.6 m. The velocity with which wave is travelling is

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  14. 14
    A square loop of area 25 cm225\text{ cm}^2 has a resistance of 10 Ω10\,\Omega. The loop is placed in uniform magnetic field of magnitude 40 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in 1 second, will be

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  15. 15
    The electric potential at the centre of two concentric half rings of radii R1R_1 and R2R_2, having same linear charge density λ\lambda is (ε0=\varepsilon_0 = permittivity of free space)

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  16. 16
    Which of the following person is in an inertial frame of reference?

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  17. 17
    A charged particle of charge qq is accelerated by a potential difference VV enters a region of uniform magnetic field BB at right angles to the direction of field. The charged particle completes semicircle of radius rr inside magnetic field. The mass of the charged particle is

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  18. 18
    A simple pendulum of length l1l_1 has time period T1T_1. Another simple pendulum of length l2 (l1>l2)l_2\,(l_1>l_2) has time period T2T_2. Then the time period of the pendulum of length l1−l2l_1 - l_2 will be

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  19. 19
    A zener diode, having breakdown voltage 15 V is used in a voltage regulator circuit as shown. The current through the zener diode is

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  20. 20
    If RR is the radius of earth and gg is acceleration due to gravity on earth's surface, then mean density of earth is

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  21. 21
    In LCR series circuit if the frequency is increased, the impedance of the circuit

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  22. 22
    A potentiometer wire of length 1 m is connected in series with 495 Ω495\,\Omega resistance and 2 V battery. If 0.2 mV/cm0.2\text{ mV/cm} is the potential gradient, then the resistance of the potentiometer wire is

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  23. 23
    A Carnot engine, whose efficiency is 40% takes heat from a source maintained at temperature 600 K. It is desired to have an efficiency 60%, then the intake temperature for the same exhaust (sink) temperature should be

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  24. 24
    A person is observing a bacteria through a compound microscope. For better analysis and to improve the resolving power he should

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  25. 25
    Two rods of same length and material transfer a given amount of heat in 12 s when they are joined end to end. But when they are joined length wise parallel to each other they will transfer same amount of heat in same condition in time

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  26. 26
    A graph of magnetic flux (ϕ\phi) versus current (I) is shown for four inductors A, B, C, D. Smaller value of self inductance is for inductor

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  27. 27
    An insulated container contains a monoatomic gas of molar mass mm. The container is moving with velocity VV. If it is stopped suddenly, the change in temperature is (R=R = gas constant)

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  28. 28
    A ray of light is incident normally on a glass slab of thickness 5 cm and refractive index 1.6. The time taken to travel by a ray from source of light to surface of slab is same as to travel through glass slab. The distance of source from the surface is

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  29. 29
    The magnetic moments associated with two closely wound circular coils A and B of radius rA=10r_A = 10 cm and rB=20r_B = 20 cm respectively are equal if (NA,IAN_A, I_A and NB,IBN_B, I_B are number of turns and current of A and B respectively)

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  30. 30
    Focal length of objective of an astronomical telescope is 1.5 m. Under normal adjustment, length of telescope is 1.56 m. Focal length of the eyepiece is

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  31. 31
    The surface of water in a water tank of cross section area 750 cm2750\text{ cm}^2 on the top of a house is hh m above the tap level. The speed of water coming out through the tap of cross section area 500 mm2500\text{ mm}^2 is 30 cm/s30\text{ cm/s}. At that instant dhdt=x×10−3 m/s\frac{dh}{dt} = x \times 10^{-3}\text{ m/s}. The value of xx will be

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  32. 32
    A string A has twice the length, twice the diameter, twice the tension and twice the density of another string B. The overtone of A which will have the same fundamental frequency as that of B is

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  33. 33
    An inductor of inductance 2 μH2\,\mu\text{H} is connected in series with a resistance, a variable capacitor and an a.c. source of frequency 5 kHz. The value of capacitance for which maximum current is drawn into the circuit is 1x F\frac{1}{x}\,\text{F}, where the value of xx is (Take π2=10\pi^2 = 10)

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  34. 34
    Three identical polaroids P1,P2P_1, P_2 and P3P_3 are placed one after another. The pass axis of P2P_2 and P3P_3 are inclined at angles 60∘60^\circ and 90∘90^\circ with respect to axis of P1P_1. The source has intensity I0I_0. The intensity of transmitted light through P3P_3 is (cos⁡60∘=0.5,cos⁡30∘=32\cos 60^\circ = 0.5, \cos 30^\circ = \frac{\sqrt{3}}{2})

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  35. 35
    A semiconductor device X is connected in series with a battery and a resistor. The current of 10 mA is found to pass through the circuit. If the terminals of X are connected in reverse manner, the current drops to almost zero. X may be

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  36. 36
    A solid cylinder of mass M and radius R is rotating about its geometrical axis. A solid sphere of the same mass and same radius is also rotating about its diameter with an angular speed half that of the cylinder. The ratio of the kinetic energy of rotation of the sphere to that of the cylinder will be

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  37. 37
    A circular coil of resistance R, area A, number of turns N is rotated about its vertical diameter with angular speed ω\omega in a uniform magnetic field of magnitude B. The average power dissipated in a complete cycle is

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  38. 38
    The excess pressure inside a spherical drop of water A is four times that of another drop B. Then the ratio of mass of drop A to that of drop B is

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  39. 39
    A parallel plate capacitor has plate area 40 cm240\text{ cm}^2 and plate separation 2 mm. The space between the plates is filled with a dielectric medium of thickness 1 mm and dielectric constant 5. The capacitance of the system is (ε0=\varepsilon_0 = permittivity of vacuum)

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  40. 40
    The height hh above the earth's surface at which the value of acceleration due to gravity (g) becomes g3\frac{g}{3} is (R=R = radius of the earth)

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  41. 41
    In an isobaric process of an ideal gas, the ratio of work done by the system to the heat supplied WQ\frac{W}{Q} is

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  42. 42
    The threshold frequency of a metal is F0F_0. When light of frequency 2F02F_0 is incident on the metal plate, the maximum velocity of photoelectron is V1V_1. When the frequency of incident radiation is increased to 5F05F_0, the maximum velocity of photoelectrons emitted is V2V_2. The ratio of V1V_1 to V2V_2 is

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  43. 43
    A charged particle is moving in a uniform magnetic field in a circular path with radius R. When the energy of the particle is doubled, then the new radius will be

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  44. 44
    A massless square loop of wire of resistance R supporting a mass M hangs vertically with one of its sides in a uniform magnetic field B directed outwards in the shaded region. A d.c. voltage V is applied to the loop. For what value of V the magnetic force will exactly balance the weight of the supporting mass M? (side of loop =L= L, g=g = acceleration due to gravity)

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  45. 45
    A sphere is at temperature 600 K. In an external environment of 200 K, its cooling rate is R. When the temperature of the sphere falls to 400 K, then cooling rate R' will become

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  46. 46
    A progressive wave of frequency 400 Hz is travelling with a velocity 336 m/s. How far apart are the two points which are 60∘60^\circ out of phase?

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  47. 47
    Two bodies A and B of equal mass are suspended from two separate massless springs of spring constants K1K_1 and K2K_2 respectively. The two bodies oscillate vertically such that their maximum velocities are equal. The ratio of the amplitude of B to that of A is

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  48. 48
    For hydrogen atom, λ1\lambda_1 and λ2\lambda_2 are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in figure [transition 1: n=3→1n=3\to1; transition 2: n=2→1n=2\to1]. The ratio of λ1\lambda_1 and λ2\lambda_2 is x32\frac{x}{32}. The value of xx is

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  49. 49
    A metallic sphere A isolated from ground is charged to +50 μC+50\,\mu\text{C}. This sphere is brought in contact with other isolated metallic sphere B of half the radius of sphere A. Then the charge on the two isolated spheres A and B are in the ratio

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  50. 50
    For a photosensitive material, work function is W0W_0 and stopping potential is V. The wavelength of incident radiation is (h=h = Planck's constant, c=c = velocity of light, e=e = electronic charge)

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Chemistry

50 questions

  1. 51
    Calculate wavelength for emission of a photon having wave number 1516 cm−1\frac{15}{16}\text{ cm}^{-1}.

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  2. 52
    Half-life of a first order reaction is 1 hour. What fraction of it will remain after 3 hours?

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  3. 53
    Identify the product of the following reaction: phenol →CrO3\xrightarrow{\text{CrO}_3} product.

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  4. 54
    Calculate vapour pressure of a solution containing mixture of 2 moles of volatile liquid A and 3 moles of volatile liquid B at room temperature. PA∘=420P_A^\circ = 420, PB∘=610P_B^\circ = 610 mmHg

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  5. 55
    Which from following statements about neoprene is false?

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  6. 56
    Identify neutral sphere complex from following.

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  7. 57
    Which from following statements is correct about saccharic acid?

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  8. 58
    Identify ferromagnetic substance from following.

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  9. 59
    Which from following compounds is used to prepare adipic acid using enzymes in green technology developed by Draths and Frost?

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  10. 60
    Which from following pairs of compounds exhibits metamerism?

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  11. 61
    Identify a mineral of zinc from following.

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  12. 62
    Identify the element having lowest first ionization enthalpy.

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  13. 63
    Calculate molar mass of an element having density 8.6 g cm−38.6\text{ g cm}^{-3} if it forms bcc structure a3×NA=22.0 cm3 mol−1a^3 \times N_A = 22.0\text{ cm}^3\text{ mol}^{-1}

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  14. 64
    Which from following mixtures in water acts as a basic buffer?

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  15. 65
    Which from following molecules does not have lone pair of electrons in valence shell of central atom?

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  16. 66
    Calculate the molar mass of non-volatile solute when 1 g of it is dissolved in 100 g solvent decreases its freezing point by 0.2 K. Kf=1.2 K kg mol−1K_f = 1.2\text{ K kg mol}^{-1}

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  17. 67
    Which from following statements is NOT true about lyophilic colloids?

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  18. 68
    Calculate the pH of a buffer solution containing 0.35 M weak acid and 0.70 M of its salt with strong base if pKa\text{p}K_a is 4.56.

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  19. 69
    Which of the following alkenes does NOT exhibit cis-trans isomerism?

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  20. 70
    Which of the following reactions occurs at cathode during discharging of lead accumulator?

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  21. 71
    Identify the product obtained when ethers are dissolved in cold concentrated sulphuric acid.

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  22. 72
    Identify the chiral molecule from following.

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  23. 73
    Which compound from following contains iodine with highest oxidation number?

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  24. 74
    How many isomers of C4H11N\text{C}_4\text{H}_{11}\text{N} are secondary amines?

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  25. 75
    The correct order of reactivity for reactions involving cleavage of C-Cl bond in following compounds is [Compound I: chlorobenzene; II: 2,4-dinitrochlorobenzene; III: 2,4,6-trinitrochlorobenzene]

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  26. 76
    Which of the following is Stephen reaction?

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  27. 77
    How many isotopes of nitrogen are found?

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  28. 78
    Which of the following colours is developed when alkali metal is dissolved in liquid ammonia?

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  29. 79
    What is IUPAC name of Acrylic acid?

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  30. 80
    Which of the following statements is correct regarding isobars?

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  31. 81
    Calculate the volume of gas at 1.25 atmosphere, if volume occupied by gas at 1 atmosphere and at same temperature is 25 mL.

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  32. 82
    In the Arrhenius plot of log⁡k\log k versus 1/T1/T find the value of intercept on y axis

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  33. 83
    Which of the following compounds when treated with ammoniacal silver nitrate exhibits silver mirror test?

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  34. 84
    Which from following polymers is NOT obtained by addition polymerisation method?

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  35. 85
    Which of the following symbols represent heat of reaction at constant volume?

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  36. 86
    For the reaction, 3I−(aq)+S2O82−(aq)→2SO42−(aq)+I3−(aq)3\text{I}^-(aq) + \text{S}_2\text{O}_8^{2-}(aq) \to 2\text{SO}_4^{2-}(aq) + \text{I}_3^-(aq). Rate of formation of SO42−\text{SO}_4^{2-} is 0.044 mol dm−3 s−10.044\text{ mol dm}^{-3}\text{ s}^{-1}. Calculate rate of consumption of I−(aq)\text{I}^-(aq).

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  37. 87
    Identify a ligand having two donor atoms but uses a pair of electrons of either donor atom to form coordinate bond.

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  38. 88
    Which of the following solutions on complete dissociation exhibits maximum elevation in boiling point?

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  39. 89
    Calculate the entropy change for melting 1 g ice at 0∘C0^\circ\text{C} in J g−1^{-1} K−1^{-1} if heat of fusion of ice at 0∘C0^\circ\text{C} is 80 J K−1^{-1}.

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  40. 90
    Which pair of elements from following has half-filled d-orbital in observed electronic configuration?

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  41. 91
    Calculate the radius of metal atom if it forms bcc unit cell having edge length 530 pm.

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  42. 92
    Calculate the concentration of weak monobasic acid if its degree of dissociation and dissociation constant are 5.0×10−45.0\times10^{-4} and 5.0×10−95.0\times10^{-9} respectively.

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  43. 93
    Which of the following is a secondary allylic alcohol?

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  44. 94
    Which of the following set of properties is correct when one mole of a gas is heated keeping volume constant by increasing temperature and supplying 500 J of heat?

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  45. 95
    The conductivity of 0.005 M NaI solution at 25∘C25^\circ\text{C} is 6.07×10−4 Ω−1 cm−16.07\times10^{-4}\,\Omega^{-1}\text{ cm}^{-1}. Calculate its molar conductivity

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  46. 96
    Which of the following is correct decreasing order of boiling point of compounds?

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  47. 97
    What is the value of electronegativity of oxygen?

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  48. 98
    What is IUPAC name of Ethylmethylisopropylamine?

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  49. 99
    Calculate the amount of electricity required in coulombs to convert 0.08 mol of MnO4−\text{MnO}_4^- to Mn2+\text{Mn}^{2+}.

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  50. 100
    Which of the following one letter symbol is used to represent aspartic acid?

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