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MHT-CET 2025 (22 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

  1. 1
    A vehicle is moving with uniform speed along 3 different shaped roads as horizontal, concave and convex. The surface of road on which, the normal reaction on vehicle is maximum is

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  2. 2
     88Ra226\ _{88}R_{a}^{226} is converted into  82Pb206\ _{82}P_{b}^{206} by emission of alpha (α\alpha) and beta (β\beta) particles. The number of alpha and beta particles emitted are respectively

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  3. 3
    In a Young's double slit experiment wavelength of light used is 6000Å6000\text{Å}. The first order maxima and tenth order maxima fall at 14.50 mm and 16.75 mm from the particular reference point in the interference pattern respectively. If the wavelength is changed to 5500Å5500\text{Å} then the position of zero order and tenth order maxima are respectively [The other arrangements remaining same]

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  4. 4
    In a pure silicon crystal electron-hole concentration is 101610^{16} per m3m^{3} at 301 K . Now 102110^{21} atoms of phosphorus are added per cubic meter. The new hole concentration in silicon is (in per m3m^{3})

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  5. 5
    A vehicle is moving with a constant speed of 10 m/s10\text{ }m/s in a circular horizontal track of radius 20 m . A bob is suspended from the roof of a vehicle by a massless string. The angle made by the string with the vertical will be (acceleration due to gravity, g=10 m/s2g = 10\text{ }m/s^{2} )

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  6. 6
    Assuming human pupil to have radius of 0.25 cm and comfortable viewing distance of 25 cm , the minimum separation between the two objects that human eye can resolve at 500 nm wavelength is nearly

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  7. 7
    Four charges 2 μC,−3 μC,4 μC,−4 μC2\ \mu C, - 3\ \mu C,4\ \mu C, - 4\ \mu C and −1μC- 1\mu C are enclosed by the Gaussian surface of radius 2 m . Net outward flux through the Gaussian surface is (in μV−m\mu V - m ) [ ε0=\varepsilon_{0}= permittivity of free space]

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  8. 8
    A solid sphere of mass ' mm ' and radius ' RR ' is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with angular speed twice that of sphere. The ratio of kinetic energy of sphere to kinetic energy of cylinder will be

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  9. 9
    A person standing between two parallel cliffs fires a gun and hears two echoes, first echo after 1 second and the second echo after 3 second. The distance between the two cliffs is (Velocity of sound =340 m/s= 340\text{ }m/s )

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  10. 10
    A series combination of 10 capacitors, each of value ' C1C_{1} ' is charged by a source of potential difference ' 4 V '. When another parallel combination of 8 capacitors, each of value ' C2C_{2} ' is charged by a source of potential difference ' V ', it has the same total energy stored in it as in the first combination. The value of ' C2C_{2} ' is

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  11. 11
    A solid sphere and thin walled hollow sphere have same mass and same material. Which of them have greater moment of inertia about their diameter? [ Ih=I_{h}= moment of inertia of hollow sphere about an axis coinciding with its diameter, Is=I_{s}= moment of inertia of solid sphere about an axis coinciding with its diameter]

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  12. 12
    The total charge induced in a conducting loop when it is moved in a uniform magnetic field depends on

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  13. 13
    A rectangular film of liquid is expanded from ( 5 cm×4 cm5\text{ }cm \times 4\text{ }cm ) to ( 7 cm×8 cm7\text{ }cm \times 8\text{ }cm ). If the work done is 3×10−4 J3 \times10^{- 4}\text{ }J, the surface tension of the liquid is (nearly)

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  14. 14
    The temperature of a body on Kelvin scale is ' xx ' K. When it is measured by a Fahrenheit thermometer, it is found to be ' x '  ∘F\ ^{\circ}F. The value of ' xx ' is (nearly)

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  15. 15
    A capillary tube is taken from earth's surface to moon's surface. The rise of liquid column on the moon's surface is (acceleration due to gravity on the earth's surface is six times that of moon's surface)

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  16. 16
    Two thin lenses having R1,R2R_{1},R_{2} as the radii of curved surfaces are kept coaxially together. Their power is proportional to

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  17. 17
    For a gas at a particular temperature on an average, the quantity which remains same for all molecules is

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  18. 18
    In a common emitter transistor amplifier, the output voltage and input voltage have a phase difference of

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  19. 19
    A body of mass 100 gram is tied to a spring of spring constant 8 N/m8\text{ }N/m, while the other end of a spring is fixed. If the body moves in a circular path on smooth horizontal surface with constant angular speed 8rad/s8rad/s then the ratio of extension in the spring to its natural length will be

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  20. 20
    The voltmeter has ranged 10 V and its internal resistance is 50Ω50\Omega. To increase the range of voltmeter to 15 V , the resistance which is to be connected is

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  21. 21
    If 120 J of thermal energy is incident on area 3 m23{\text{ }m}^{2}, the amount of heat transmitted is 12 J , coefficient of absorption is 0.6 , then the amount of heat reflected is

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  22. 22
    A circular coil of wire consisting of ' nn ' turns each of radius 8 cm carries a current of 0.4 A . The magnitude of the magnetic field at the centre of coil is 3.14×10−4 T3.14 \times10^{- 4}\text{ }T. The value of ' n ' is [Take μ0=12.56×10−7\mu_{0}= 12.56 \times10^{- 7} SI unit]

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  23. 23
    There are two identical small holes on the opposite side of a tank containing full of a liquid. The tank is open at the top. The difference in height between the two holes is ' hh '. As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to

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  24. 24
    The graph shows the variation of voltage (v) across the plates of two parallel plate capacitors AA and BB versus increase of charge QQ stored in them. Then

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  25. 25
    If force F→=−3i^+j^+5k^\overrightarrow{F}= - 3\widehat{i}+\widehat{j}+ 5\widehat{k} acts along r→=7i^+3j^+k^\overrightarrow{r}= 7\widehat{i}+ 3\widehat{j}+\widehat{k} then the torque acting at that point is

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  26. 26
    Susceptibility of a paramagnetic substance is

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  27. 27
    When an ideal gas (γ=53)\left( \gamma=\frac{5}{3} \right) is heated under constant pressure, then what percentage of given heat energy will be utilised in doing external work?

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  28. 28
    In the given electrical network, the value of resistance ' RR ' when the current in the galvanometer will be zero, is

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  29. 29
    When a photosensitive metal surface is illuminated with radiation of wavelength ' λ1\lambda_{1} ', the stopping potential is ' V1V_{1} '. If the same surface is illuminated with radiation of wavelength ' 3λ13\lambda_{1} ', the stopping potential is V16\frac{V_{1}}{6}. The threshold wavelength for the photosensitive metal surface is

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  30. 30
    The mean kinetic energy of the molecules of an ideal gas at 399∘C399^{\circ}C is ' E '. The temperature at which the mean kinetic energy of its molecules will be ' E/2E/2 ', is

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  31. 31
    Three capacitors each of capacitance ' CC ' and breakdown voltage ' VV ' are connected in series. The capacitance and breakdown voltage of the series combination will be respectively

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  32. 32
    When alternating current is passed through L−RL-R series circuit, the power factor is 32\frac{\sqrt{3}}{2} and R=50ΩR = 50\Omega, then the value of L is [cos⁡π6=32,sin⁡π6=12,tan⁡π6=13]\left\lbrack \cos\frac{\pi}{6}=\frac{\sqrt{3}}{2},\sin\frac{\pi}{6}=\frac{1}{2},\tan\frac{\pi}{6}=\frac{1}{\sqrt{3}} \right\rbrack

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  33. 33
    Time period of a simple pendulum on earth's surface is ' T '. It time period becomes ' xT ' when taken to a height ' 2R2R ' above earth's surface. The value of xx will be ( R=R= radius of earth)

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  34. 34
    The wire loop PQRSP formed by joining two semicircular wire of radii R1R_{1} and R2R_{2} carries a current I as shown. The magnitude of the magnetic field at the center ' O ' is

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  35. 35
    A body of mass 1 kg begins to move under the action of a time dependent force F→=(ti^+2t2j^)N\overrightarrow{F}=\left( t\widehat{i}+ 2t^{2}\widehat{j} \right)N, where i^\widehat{i} and j^\widehat{j} are unit vectors along xx and yy axis. The power developed by above force at time t=3t= 3 second will be

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  36. 36
    The period of oscillating simple pendulum is T=2πl gT = 2\pi\sqrt{\frac{l}{\text{ }g}} where length ' ll ' is 100 cm with error 1 mm. Period is 2 second. The time of 100 oscillations is measured by a stopwatch of least count 0.1 s. The percentage error in gravitational acceleration ' gg ' is

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  37. 37
    If a center tap transformer is used with two p-n junction diodes for full wave rectification then output voltage of rectifier with respect to each diode is (secondary voltage of transformer =Vs=V_{s} )

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  38. 38
    Out of the following transitions in hydrogen atom, identify the transition which emits photons of highest frequency.

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  39. 39
    An organ pipe has fundamental frequency 80 Hz. If it's one end is closed, the frequencies produced will be (in Hz) (Neglect end correction)

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  40. 40
    An a.c. e.m.f. of peak value 230 V and frequency 50 Hz is connected to a circuit with R=11.5Ω, L=2.5HR = 11.5\Omega,\text{ }L = 2.5H and a capacitor all in series. The value of capacitance is ' CC ' for the current in the circuit to be maximum. The value of ' CC ' and maximum current are respectively ( π2=10\pi^{2}= 10 )

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  41. 41
    A gas undergoes a change in which its pressure ' P ' and volume ' V ' are related as PVn=PV^{n}= constant, where n is a constant. If the specific heat of the gas in this change is zero, then the value of n is ( γ=\gamma= adiabatic ratio)

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  42. 42
    From photoelectric effect experiment, select the correct statement.

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  43. 43
    The equation of wave is y=60sin⁡(1200t−6x)y= 60\sin(1200t- 6x), where ' yy ' is in micron, ' tt ' is in second and ' xx ' is in metre. The ratio of maximum particle velocity to the wave velocity of wave propagation is

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  44. 44
    Two satellites PP and QQ go around a planet in circular orbits having radii ' 3R3R ' and ' RR ' respectively. If the speed of satellite PP is ' 2V2V ', the speed of the satellite QQ will be

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  45. 45
    For a particle performing S.H.M., the total energy is ' nn ' times the kinetic energy, when the displacement of a particle from mean position is 32 A\frac{\sqrt{3}}{2}\text{ }A, where A is the amplitude of S.H.M. The value of ' nn ' is

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  46. 46
    A copper ring is held horizontally, and a bar magnet is dropped through the ring with its length along the axis of the ring. The acceleration of the falling magnet while it is passing through the ring is

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  47. 47
    In a single slit diffraction pattern, identify the incorrect statement from the following.

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  48. 48
    If an alternating voltage is applied across a p−np - n junction diode in series with a load then

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  49. 49
    Two waves of same frequency (n) are approaching each other with same velocity of 12 m/s12\text{ }m/s along the same linear path and interfere. The distance between two consecutive nodes is

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  50. 50
    A coil of resistance 400Ω400\Omega is placed in a magnetic field. If the magnetic flux ' ϕ\phi, (Wb) linked with the coil varies with time ' tt ' ( ss ) as ϕ=50t2+4\phi= 50t^{2}+ 4, the current in the coil at t=2 st = 2\text{ }s will be

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Chemistry

50 questions

  1. 51
    Identify the conjugate acid-base pair respectively from following equilibrium reaction.
    HPO4(aq)2−+H2O(l)⇌PO4(aq)3−+H3O(aq)+HPO_{4(aq)}^{2 -}+H_{2}O_{(l)}\rightleftharpoons PO_{4(aq)}^{3 -}+H_{3}O_{(aq)}^{+}

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  2. 52
    Which from following nitrogen bases either of purine or pyrimidine does NOT contain −NH2-NH_{2} group attached with its ring?

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  3. 53
    Which from following amino acids contains heterocyclic ring at a side chain (R)(R) group?

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  4. 54
    Calculate the volume occupied by all particles in fcc unit cell if volume of unit cell is 1.6×10−23 cm31.6 \times 10^{-23}\ \mathrm{cm^3}.

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  5. 55
    Calculate the number of Cl−Cl^{-}ions in 222 g unhydrous calcium chloride? (At. mass Ca=40,Cl=35.5Ca = 40,Cl = 35.5 )

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  6. 56
    Which from following mixtures exhibits positive deviation from Raoult's law?

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  7. 57
    What is the difference in oxidation number of Mn in KMnO4KMnO_{4} and MnO2MnO_{2} ?

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  8. 58
    Calculate the work done in joule if 2 moles of an ideal gas expand isothermally from 15.5dm315.5dm^{3} to 20dm320dm^{3} at constant pressure 1 atm .

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  9. 59
    Nitric oxide reacts with H2H_{2} according to reaction. 2NO(g)+2H2( g)→N2( g)+2H2O(g)2NO_{(g)}+ 2H_{2(\text{ }g)}\rightarrow N_{2(\text{ }g)}+ 2H_{2}O_{(g)}, identify correct relation for disappearance of reactant and appearance of product.

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  10. 60
    The solubility of sparingly soluble salt AX2AX_{2} is 1×10−4 moldm−31 \times10^{- 4}\text{ }moldm^{- 3} at 298 K . Calculate its solubility product.

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  11. 61
    Which of the following is used as Green solvent?

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  12. 62
    What is vapor density of O2O_{2} gas?

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  13. 63
    Identify the correct statement regarding geometry and lone pair of electrons present in CH4CH_{4} and SiCl4SiCl_{4}.

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  14. 64
    What type of hybridization is present in square planar geometry of complex [Ni(CN)4]2−\left\lbrack Ni(CN)_{4} \right\rbrack^{2 -}

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  15. 65
    What are the different types of bonds formed by Sulphur with oxygen in disulfuric acid?

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  16. 66
    Which of the following is not an alkali metal?

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  17. 67
    What is formula of mustard gas?

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  18. 68
    Rate law for the reaction aA+bB→cC+dDaA + bB \rightarrow cC + dD is r=k[A][B]r=k\lbrack A\rbrack\lbrack B\rbrack, the rate of reaction doubles if

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  19. 69
    Which of the following reactions exhibit minimum standard reduction potential?

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  20. 70
    Which from following dopants is used in germanium to produce p-type semiconductor?

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  21. 71
    Calculate the osmotic pressure of 0.5 M aqueous solution of nonvolatile solute at 300 K . [ R=0.0821 atmdm3 K−1 mol−1R = 0.0821\text{ }atmdm^{3}{\text{ }K}^{- 1}{\text{ }mol}^{- 1} ]

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  22. 72
    1.8 g water is vaporized by supplying 4 kJ heat at 100∘C100^{\circ}C. What is the heat of vaporization of water at same temperature?

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  23. 73
    Calculate the number of moles of nonvolatile solute dissolved in 0.3 kg solvent if ΔTb=0.3 K\Delta T_{b}= 0.3\text{ }K and KbK_{b} for solvent is 1.8 K kg mol−11.8\text{ }K\text{ }kg{\text{ }mol}^{- 1}.

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  24. 74
    Which from following is NOT hydrogen like species?

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  25. 75
    Identify the monomer of natural rubber.

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  26. 76
    Identify strongest base from following in aqueous medium.

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  27. 77
    Identify neutral ligand from following.

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  28. 78
    Identify a weakest base from following

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  29. 79
    Which among the following has lowest boiling point?

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  30. 80
    Which from following is a non-benzenoid aromatic compound?

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  31. 81
    Phenol on reaction with aqueous solution of bromine gives

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  32. 82
    What is IUPAC name of the following compound?

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  33. 83
    Which of the following is a bond line structure of glycerol?

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  34. 84
    Which of the following has highest reactivity for SN1S_{N}1 reactions?

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  35. 85
    The reaction of bromobenzene with bromomethane and sodium metal in dry ether to give toluene is

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  36. 86
    What is the number of structural isomers possible for alkene with molecular formula C5H10C_{5}H_{10} ?

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  37. 87
    If standard reduction potential (E∘E^{\circ}) of (Ni(aq)+2∣Ni(s))\left( Ni_{\left( aq \right)}^{+ 2}\mid Ni_{\left( s \right)} \right) and (Al(aq)+3∣Al(s))\left( Al_{\left( aq \right)}^{+ 3}\mid Al_{\left( s \right)} \right) are -0.25 V and -1.66 V respectively. What is standard emf of cell reaction 2Al(s)+3Ni(aq)+2⟶2Al(aq)+3+3Ni(s)2Al_{\left( s \right)}+ 3Ni_{\left( aq \right)}^{+ 2}\longrightarrow 2Al_{\left( aq \right)}^{+ 3}+ 3Ni_{\left( s \right)}

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  38. 88
    Which of the following is NOT obtained when a mixture of chloroethane and 1-chloropropane is treated with sodium metal in dry ether?

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  39. 89
    Calculate the value of dissociation constant of weak monoacidic base if it dissociates to 2%2\% in 0.1 M solution?

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  40. 90
    Which from following process does NOT results in coagulation?

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  41. 91
    Calculate the number of unit cell in 1 cm31{\text{ }cm}^{3} volume of metal if volume of unit cell is 3.448×10−23 cm33.448 \times10^{- 23}{\text{ }cm}^{3}

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  42. 92
    Identify the catalyst used in following reaction at 500∘C500^{\circ}C ?
    CO+H2O⇌CO2+H2CO +H_{2}O \rightleftharpoons CO_{2}+H_{2}

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  43. 93
    Hydroboration-oxidation of but-1-ene forms

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  44. 94
    Which from following reaction results in azo coupling?

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  45. 95
    Identify the source of gallic acid from following

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  46. 96
    Calculate the standard enthalpy change of following reaction
    CH4( g)+2O2( g)→CO2( g)+2H2O(l)CH_{4(\text{ }g)}+ 2O_{2(\text{ }g)}\rightarrow CO_{2(\text{ }g)}+ 2H_{2}O_{(\mathcal{l})}
    If ΔfH∘(CH4)=−75 kJ mol−1\Delta_{f}H^{\circ}\left( CH_{4} \right)= - 75\text{ }kJ{\text{ }mol}^{- 1}
    ΔfH∘(CO2)=−394 kJ mol−1ΔfH∘(H2O)=−286 kJ mol−1\begin{gathered}\Delta_{f}H^{\circ}\left( CO_{2} \right)= - 394\text{ }kJ{\text{ }mol}^{- 1} \\ \Delta_{f}H^{\circ}\left( H_{2}O \right)= - 286\text{ }kJ{\text{ }mol}^{- 1}\end{gathered}

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  47. 97
    Identify the product ' BB ' in following reaction. Dry ice → dry ether CH3MgBrA→H3O+B\xrightarrow[\text{~dry ether~}]{CH_{3}MgBr}A\xrightarrow{H_{3}O^{+}}B

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  48. 98
    Which from following polymers is used to prepare shoe soles?

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  49. 99
    Half-life of a first order reaction is 20 minutes. The time taken to reduce the initial concentration of reactant to (1/10)th (1/10)^{\text{th~}} is ____\_\_\_\_ .

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  50. 100
    If E∘(Mg(aq)+2∣Mg(s))=−2.37 VE^{\circ}\left( Mg_{(aq)}^{+ 2}\mid Mg_{(s)} \right)= - 2.37\text{ }V. What is potential for Mg(s)⟶Mg+2(0.01M)+2e−Mg_{(s)}\longrightarrow Mg^{+ 2}(0.01M) + 2e^{-}at 298 K ?

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