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MHT-CET 2025 (26 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
    In a common emitter transistor amplifier circuit, the input resistance is 1.8kΩ1.8k\Omega and output is obtained across a load resistance of 9kΩ9k\Omega. The alternating current gain is 70. Corresponding to an a.c. input voltage of 6 mV, the output voltage will be

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  2. 2
    When a resistance of 100Ω100\Omega is connected in series with a galvanometer of resistance ' GG ', its range is 'V'. To double its range, a resistance of 1000Ω1000\Omega is connected in series. The value of ' G ' is

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  3. 3
    In case of free expansion, which one of the following statements is WRONG?

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  4. 4
    Applying forward bias to p-n junction, the potential barrier

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  5. 5
    Light of incident frequency 3 times the threshold frequency is incident on a photosensitive material. If the incident frequency is made (14)th \left( \frac{1}{4} \right)^{\text{th~}} and intensity is tripled, then the photoelectric current will

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  6. 6
    A capillary tube when immersed vertically in water, the rise of water column is up to height h1h_{1} on earth's surface. When this arrangement is taken into a mine of depth 'd', below earth's surface, the height of the water column is h2h_{2}. If RR is the radius of the earth, the ratio h2h1\frac{h_{2}}{h_{1}} is

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  7. 7
    The work done in turning a magnet of magnetic moment 'MM' by an angle of 90∘90^{\circ} from the meridian is 'nn' times the corresponding work done to turn it through an angle of 60∘60^{\circ} where the value of ' nn ' is (cos⁡90∘=0,cos⁡60∘=0.5\cos90^{\circ}= 0,\cos60^{\circ}= 0.5)

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  8. 8
    When magnetic flux changes from 6.5×10−2 Wb6.5 \times10^{- 2}\text{ }Wb to 11×10−2 Wb11 \times10^{- 2}\text{ }Wb and the change in current is 0.03 A , the coefficient of mutual inductance will be

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  9. 9
    At a place, the length of the oscillating simple pendulum is made 14\frac{1}{4} times keeping amplitude same then the total energy will be

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  10. 10
    125 small water drops of same size fall through air with constant velocity 4 cm/s4\,\text{cm/s}. They coalesce to form a big drop. The terminal velocity of the big drop is

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  11. 11
    If ∣a→∣=26,∣b→∣=7|\overrightarrow{a}| =\sqrt{26},|\overrightarrow{b}| = 7 ∣a→×b→∣=35|\overrightarrow{a}\times\overrightarrow{b}| = 35, find a→⋅b→\overrightarrow{a}\cdot\overrightarrow{b}

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  12. 12
    Three capacitors C1=CC_1 = C, C2=2CC_2 = 2C and C3=3CC_3 = 3C are connected to a battery, with C1C_1 and C2C_2 in series and C3C_3 connected in parallel across that series combination. The ratio of charge on capacitors C3C_3 and C1C_1 is

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  13. 13
    A spring executes S.H.M. with mass 1 kg attached to it. The force constant of the spring is 4 N/m4\,\text{N/m}. If at any instant its velocity is 20 cm/s20\,\text{cm/s}, the displacement at that instant is (Amplitude of S.H.M. is 0.4 m )

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  14. 14
    The material used for solar cell should have band gap

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  15. 15
    The ratio of the distance of nth n^{\text{th~}} bright band and mth m^{\text{th~}} dark band from the central bright band in an interference pattern is

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  16. 16
    An ideal gas expands adiabatically, (γ=1.5)(\gamma= 1.5). To reduce the r.m.s. velocity of the molecules 4 times, the gas has to be expanded

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  17. 17
    Out of the following statements which is NOT the characteristics of electric lines of force?

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  18. 18
    The temperature at which oxygen molecules will have same r.m.s. speed as helium molecules at 57∘C57^{\circ}C is (molecular masses of oxygen and helium are 32 and 4 respectively.)

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  19. 19
    A single slit diffraction pattern is formed with white light. For what wavelength of light the 4th 4^{\text{th~}} secondary maximum in diffraction pattern coincides with the 3rd 3^{\text{rd~}} secondary maximum in the pattern of light of wavelength ' λ\lambda '?

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  20. 20
    A resistor of 5.Ω5.\Omega, inductor of self inductance (2π2)H\left( \frac{2}{\pi^{2}} \right)H and a capacitor of unknown capacity are connected in series to an a.c. source of 100 V,50 Hz100\text{ }V,50\text{ }Hz supply. When the voltage and current are in phase, the value of capacitance is

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  21. 21
    A rigid body rotates about a fixed axis with variable angular velocity ( α−βt\alpha-\beta t ) at time tt, where α\alpha and β\beta are constants. The angle through which it rotates before it comes to rest is

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  22. 22
    The capacity of air-filled parallel plate capacitor is C0C_{0}. One-half of the space between the plates is filled with a dielectric constant ' K ' as shown in figure. The new capacity becomes CnC_{n}. The ratio CnC_{n} to C0C_{0} is

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  23. 23
    Two black spheres P&QP\& Q have radii in the ratio 4:34:3. The wavelength of maximum intensity of radiation are in the ratio 4:54:5 respectively. The ratio of radiated power by P to Q is

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  24. 24
    A monochromatic ray of light is incident normally on a thin prism of refracting angle A . The ray is deviated through an angle (1.15)∘(1.15)^{\circ} in passing through the prism. The ray reflected internally from the second face emerges from the first face making an angle of (6.3)∘(6.3)^{\circ} with the incident ray. The refractive index of the prism is

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  25. 25
    The wavelength ' λ\lambda ' of a photon and the deBroglie wavelength of an electron have same value. the ratio of kinetic energy of the electron to the energy of a photon is (m=m= mass of electron, c=c= velocity of light, h=h = Planck's constant)

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  26. 26
    The heat energy that must be supplied to 14 gram of nitrogen at room temperature to raise its temperature by 48∘C48^{\circ}C at constant pressure is (Molecular weight of nitrogen =28,R== 28,R = gas constant, Cp=72RC_{p}=\frac{7}{2}R for diatomic gas)

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  27. 27
    Charges of 2μC2\mu C and −3μC- 3\mu C are placed at two points A and B separated by distance of 1 m . The distance of the point from A where net potential is zero is

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  28. 28
    The difference in length between two rods A and B is 60 cm at all temperatures. If αA=18×10−6/ ∘C\alpha_{A}= 18 \times10^{- 6}/\ ^{\circ}C and αB=27×10−6/ ∘C\alpha_{B}= 27 \times10^{- 6}/\ ^{\circ}C, then the length of rodArodA and rodBrodB at 0∘C0^{\circ}C is respectively

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  29. 29
    An infinitely long straight conductor carrying current ' II ' is bent into a shape as shown in figure. The radius of the circular loop is ' rr '. The magnetic induction at the centre of the loop at point ' OO ' is (μ0=\mu_{0}= permeability of free space)

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  30. 30
    Let R1,R2R_{1},R_{2} and R3R_{3} be the radii of three mercury drops. A big mercury drop is formed from them under isothermal conditions. The radius of the resultant drop is

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  31. 31
    Fundamental frequency of sonometer wire is ' nn '. If the tension and length are increased 3 times and diameter is increased twice, the new frequency will be

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  32. 32
    Moment of inertia of a solid sphere about its diameter is ' II '. It is then casted into 27 small spheres of same diameter. The moment of inertia of each small sphere about its diameter is

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  33. 33
    Two circuits A and B are connected to identical d.c. sources each of e.m.f. 10 volt. Self-inductances of circuits AA and BB are respectively LA=10HL_{A}= 10H and LB=10mHL_{B}= 10mH. The total resistance of each circuit is 40Ω40\Omega. The ratio of energy consumed in circuit AA and circuit BB to build up the current to steady value is

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  34. 34
    The ratio of the frequencies of two simple pendulums is 4:34:3 at the same place. The ratio of their respective lengths is

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  35. 35
    A source of sound emits sound wave of frequency 'ff' and moves towards an observer with a velocity V3\frac{V}{3} where VV is the velocity of sound. If the observer moves away from the source with a velocity V5\frac{V}{5} the apparent frequency heard by him will be

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  36. 36
    In Young's double slit experiment, the distance between the slits is 2 mm and the slits are 1 m away, from the screen. Two interference patterns can be obtained on the screen due to light of wavelength ' λ1\lambda_{1} ' and ' λ2\lambda_{2} ' respectively. The separation on the screen between the 3rd 3^{\text{rd~}} order bright fringes on the two interference patterns is (λ2=1.5λ1\lambda_{2}= 1.5\lambda_{1})

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  37. 37
    L,CL,C and R are connected in series to an a. c. source. Which one of the following is true? Phase relation between current and voltage is such that

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  38. 38
    A bar of iron having magnetic moment 2.4Am22.4Am^{2} weighs 66 g. If the density of the material of the bar is 7700 kg/m37700\text{ }kg/m^{3}, the intensity of magnetisation in Am−1Am^{- 1} is

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  39. 39
    The error in the measurement of length and mass is 3%3\% and 4%4\% respectively. The error in the measurement of density will be

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  40. 40
    The potentiometer wire is 5 m long and potential difference of 4 V is maintained between the ends. The e.m.f. of the cell which balances against a length of 200 cm of the potentiometer wire is

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  41. 41
    Moment of inertia of the rod about an axis passing through the center and perpendicular to its length is ' I1I_{1} '. The same rod is bent into a ring and its moment of inertia about the diameter is ' I2I_{2} '. Then I1/I2I_{1}/I_{2} is

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  42. 42
    A body weighs 45 N on the surface of the earth. The gravitational force on a body due to earth at a height equal to half the radius of earth will be

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  43. 43
    An air column is of length 17 cm. The ratio of frequencies of 5th 5^{\text{th~}}overtone if the air column is closed at one end to that open at both ends is (velocity of sound in air =340 ms−1= 340{\text{ }ms}^{- 1})

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  44. 44
    In Paschen series, wavelength of first line is 'λ1\lambda_{1}' and for Brackett series, wavelength of first line is 'λ2\lambda_{2}' then ratio λ1λ2\frac{\lambda_{1}}{\lambda_{2}} is

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  45. 45
    A sphere of mass 'mm', moving with velocity '3u3u' collides head-on with another identical sphere at rest. If ' ee ' is coefficient of restitution then what will be the ratio of velocity of the second sphere to that of first sphere after collision?

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  46. 46
    A magnetic field 4×10−2 T4 \times10^{- 2}\text{ }T acts at right angles to a coil of area 100 cm2100{\text{ }cm}^{2} with 50 turns. The average e.m.f. induced in the coil is 0.1 V, when it is removed from the field in time ' tt '. The value of ' tt ' is

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  47. 47
    The ratio of energies of photons produced due to transition of electron of hydrogen atom from its (i) third to 2nd 2^{\text{nd~}} energy level and (ii) highest energy level to 3rd 3^{\text{rd~}} level is

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  48. 48
    In Sonometer experiment, the frequency of a tuning fork used is 288 Hz. Harmonics will 'NOT' be produced at the frequency

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  49. 49
    A boy throws a ball vertically upwards from a bridge with velocity 5 m/s5\,\text{m/s}. It strikes water surface after 2 s. The height of the bridge is (Take g=10 m/s2g = 10\,\text{m/s}^2)

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  50. 50
    In series LCR circuit C=2μ F, L=5mHC = 2\mu\text{ }F,\text{ }L = 5mH and R=5ΩR = 5\Omega. The ratio of energy stored in the inductor to that in capacitor, when maximum current flows through the circuit is

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Chemistry

50 questions

  1. 51
    The solubility product of AgBr is 4.9×10−134.9 \times10^{- 13} at a certain temperature. Calculate the solubility.

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  2. 52
    Which of the following reagents is used to convert C≡CC \equiv C triple bond to C=CC = C double bond to give Cis isomer of alkene?

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  3. 53
    Which of the following changes takes place at positive electrode during recharging of lead accumulator?

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  4. 54
    Identify neutral amino acid from following list represented by three letter symbols.

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  5. 55
    Which from following is a weak field ligand?

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  6. 56
    Identify the order of following reaction? 2NO2( g)→2NO(g)+O2( g)2NO_{2(\text{ }g)}\rightarrow 2NO_{(g)}+O_{2(\text{ }g)}

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  7. 57
    Identify the products of following reaction? Formaldehyde + Benzaldehyde → ii) H3O+i) conc. NaOH Products \xrightarrow[\text{~ii)~}H_{3}O^{+}]{\text{i) conc.~}NaOH}\text{~Products~}

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  8. 58
    What is the coordination number of a particle in simple cubic close packed structure?

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  9. 59
    Which from following polymers does NOT contain either −COO−- COO - or −CO−NH−- CO - NH - linkage in it?

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  10. 60
    Which of the following does NOT exhibit haloform reaction?

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  11. 61
    What is the expected order of basic strength of different compounds from following.

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  12. 62
    Calculate the change in internal energy of the system if work done by the system is 18 joule and absorbs heat 50 joule in a particular reaction.

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  13. 63
    Equal masses of helium and oxygen are mixed in an empty container at 25∘C25^{\circ}C. What is the fraction of the total pressure exerted by helium?

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  14. 64
    What is the number of oxygen atoms bonded to chlorine in its strongest oxoacid?

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  15. 65
    Dissociation constant of 0.01 M weak acid is 10−410^{- 4}. What is percent dissociation of acid?

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  16. 66
    Which among the following gases is least adsorbed on solid at similar conditions of temperature and pressure?

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  17. 67
    Which from following compounds contains complex anions?

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  18. 68
    What are the positions of ' NN ' atoms present in purine ring of nucleic acids?

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  19. 69
    Identify the product ' AA ' formed in the following reaction.

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  20. 70
    Rate of the reaction A+B⟶A + B \longrightarrow product is 3.6×10−2 moldm−3 s−13.6 \times10^{- 2}\text{ }moldm^{- 3}{\text{ }s}^{- 1} and rate law is r=k[A][B]2r = k\lbrack A\rbrack\lbrack B\rbrack^{2}. What is rate constant of the reaction if [A]=0.2M\lbrack A\rbrack = 0.2M and [B]=0.1M\lbrack B\rbrack = 0.1M ?

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  21. 71
    Find out the total number of electrons present in 3.2 g methane?

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  22. 72
    Which among the following salt turns blue litmus red in its aqueous solution?

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  23. 73
    Which lanthanoid from following may exhibit +4 oxidation state with f0f^{0} configuration?

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  24. 74
    Which among the following compounds does NOT form intermolecular hydrogen bonding?

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  25. 75
    What is the common name of Benzene-1,3-diol?

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  26. 76
    Identify a medicinal compound having amide linkage.

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  27. 77
    Which among the following has highest boiling point?

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  28. 78
    What is the numerical value of osmotic pressure of 1 M urea solution if numerical value of osmotic pressure of 0.5 M urea solution is ' xx '?

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  29. 79
    Calculate vapour pressure of volatile liquid A at given temperature if mole fraction and vapour pressure of volatile liquid B are 0.4 and 900 mm Hg respectively [Ptotal =600 mmHg]\left\lbrack P_{\text{total~}}= 600\text{ }mmHg \right\rbrack

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  30. 80
    Identify from following the correct set of thermodynamic conditions for a reaction to be nonspontaneous at all temperatures.

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  31. 81
    "It is impossible to determine simultaneously the exact position and exact momentum of an electron." This statement is called

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  32. 82
    Which of the following statements is false about oxygen and Sulphur?

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  33. 83
    Calculate rate constant of a first order reaction having pre exponential factor 1.6×1013 s−11.6 \times 10^{13}\text{ }s^{-1}. ( Ea/2.303RT=21E_{a}/2.303RT = 21 )

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  34. 84
    What is the difference in molar mass of Undecane and Dodecane?

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  35. 85
    Which cation from following exhibits no magnetic moment?

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  36. 86
    Identify the product when chlorobenzene is heated with nitrating mixture.

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  37. 87
    Which of the following compounds does not exhibit optical isomerism?

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  38. 88
    Calculate %\% by mass of a H2O2H_{2}O_{2} solution that is 67.2 by volume.

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  39. 89
    For the cell reaction, A(s)+B(aq)+2⟶ A(aq)+2+B(s)A_{(s)}+B_{(aq)}^{+ 2}\longrightarrow{\text{ }A}_{(aq)}^{+ 2}+B_{(s)} if equilibrium constant of reaction is 10410^{4} at 298 K . What is standard emf of cell?

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  40. 90
    What are the compounds used to obtain nylon salt?

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  41. 91
    Which from following compounds is an example of primary amines?

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  42. 92
    Identify the technique used to know binding nature of nanomaterials?

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  43. 93
    Which from following compounds is obtained when phenol reacts with dilute nitric acid at low temperature?

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  44. 94
    In the equation, BiO3−+6H++xe−→Bi3++3H2OBiO_{3}^{-}+ 6H^{+}+xe^{-}\rightarrow Bi^{3+}+ 3H_{2}O, what is the value of xx ?

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  45. 95
    The compound forming ccp structure contains 9.6×10239.6 \times10^{23} atoms. Find the number of tetrahedral voids formed in it.

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  46. 96
    Identify a pair of molecules having similar shapes of both members.

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  47. 97
    Calculate the molality of the solution of nonvolatile solute if it freezes at −0.36∘C-0.36^{\circ}C. [KfK_{f} for solvent =1.86 K kg mol−1= 1.86\text{ }K\text{ }kg{\text{ }mol}^{- 1}]

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  48. 98
    Calculate ΔStotal \Delta S_{\text{total~}} for a certain reaction if ΔH=−150 kJ\Delta H = - 150\text{ }kJ and ΔS=32JK−1\Delta S = 32JK^{- 1} at 300 K .

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  49. 99
    If E∘(Cu(aq)+2∣Cu(s))=+0.34 VE^{\circ}\left( Cu_{(aq)}^{+ 2}\mid Cu_{(s)} \right)= + 0.34\text{ }V. What is potential for Cu(s)→Cu(aq)+2(0.1M)+2e−Cu_{(s)}\rightarrow Cu_{(aq)}^{+ 2}(0.1M) + 2e^{-}at 298 K ?

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  50. 100
    Calculate the edge length of bcc unit cell if radius of a particle present in it is 186 pm .

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