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MHT-CET 2024 (11 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
    A ball kept at 20 m height falls freely in vertically downward direction and hits the ground. The coefficient of restitution is 0.4. Velocity of the ball after first rebound is g=10 ms−2g = 10 \text{ ms}^{-2}

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  2. 2
    A rectangular block of mass 'm' and cross-sectional area A, floats on a liquid of density 'ρ\rho'. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency 'n' equal to (g=g = acceleration due to gravity)

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  3. 3
    A double convex lens of focal length 'f' is cut into two equal parts along the vertical axis. The focal length of each part will be

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  4. 4
    A metal surface of work function 1.13 eV is irradiated with light of wavelength 310 nm. The retarding potential required to stop the escape of photoelectrons is. Take hce=1240×10−9\frac{hc}{e} = 1240 \times 10^{-9} SI units

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  5. 5
    A liquid drop of radius 'R' is broken into 'n' identical small droplets. The work done is [T=T = surface tension of the liquid]

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  6. 6
    When a metallic surface is illuminated with radiation of wavelength 'λ\lambda', the stopping potential is 'V'. If the same surface is illuminated with radiation of wavelength '2λ2\lambda', the stopping potential is 'V4\frac{V}{4}'. The threshold wavelength for the metallic surface is

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  7. 7
    A sonometer wire 'A' of diameter 'd' under tension 'T' having density 'Q1Q_1' vibrates with fundamental frequency 'n'. If we use another wire 'B' which vibrates with same frequency under tension '2T' and diameter '2D', then density 'Q2Q_2' of wire 'B' will be

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  8. 8
    An ideal gas expands adiabatically (γ=1.5)(\gamma = 1.5). To reduce the r.m.s velocity of the molecules 3 times, the gas has to be expanded

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  9. 9
    An electron of mass 'm' and charge 'q' is accelerated from rest in a uniform electric field of strength 'E'. The velocity acquired by the electron, when it travels distance 'L', is

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  10. 10
    In the study of transistor as an amplifier if α=ICIE=0.98\alpha = \frac{I_C}{I_E} = 0.98 and β=ICIb=49\beta = \frac{I_C}{I_b} = 49, where IC,IgI_C, I_g and IEI_E are collector, base and emitter current respectively then 1α−1β\frac{1}{\alpha} - \frac{1}{\beta} is equal to

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  11. 11
    In Young's double slit experiment, green light is incident on two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the observed fringes to be more closely spaced?

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  12. 12
    A circular arc of radius 'r' carrying current 'l' subtends an angle π16\frac{\pi}{16} at its centre. The radius of a metal wire is uniform. The magnetic induction at the centre of circular arc is [μ0=\mu_0 = permeability of free space]

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  13. 13
    The magnetic flux through a circuit of resistance 'R' changes by an amount Δϕ\Delta\phi in the time Δt\Delta t. The total quantity of electric charge 'Q' which passes during this time through any point of the circuit is

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  14. 14
    From a disc of mass 'M' and radius 'R', a circular hole of diameter 'R' is cut whose rim passes through the centre. The moment of inertia of the remaining part of the disc about perpendicular axis passing through the centre is

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  15. 15
    A sound of frequency 480 Hz is emitted from the stringed instrument. The velocity of sound in air is 320 m/s. After completing 180 vibrations, the distance covered by a wave is

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  16. 16
    Two progressive waves are travelling towards each other with velocity 50 m/s and frequency 200 Hz. The distance between the two consecutive antinodes is

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  17. 17
    In a series LCR circuit, C=2 μFC = 2\,\mu\text{F}, L=1 mHL = 1\,\text{mH} and R=10 ΩR = 10\,\Omega. The ratio of the energies stored in the inductor and the capacitor, when the maximum current flows in the circuit, is

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  18. 18
    The radius of the orbit of a geostationary satellite is (mean radius of earth is 'R', angular velocity about own axis is 'ω\omega' and acceleration due to gravity on earth's surface is 'g')

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  19. 19
    A coil having effective area 'A' is held with its plane normal to a magnetic field of induction 'B'. The magnetic induction is quickly reduced to 25% of its initial value in 1 second. The e.m.f. induced in the coil (in volt) will be

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  20. 20
    What should be the diameter of a soap bubble, in order that the excess pressure inside it is 25.6 Nm−225.6\,\text{Nm}^{-2}? [Surface tension of soap solution =3.2×10−2 Nm−1= 3.2 \times 10^{-2}\,\text{Nm}^{-1}]

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  21. 21
    The upper end of the spring is fixed and a mass 'm' is attached to its lower end. When mass is slightly pulled down and released, it oscillates with time period 3 second. If mass 'm' is increased by 1 kg, the time period becomes 5 second. The value of 'm' is (mass of spring is negligible)

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  22. 22
    The orbital magnetic moment associated with orbiting electron of charge 'e' is

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  23. 23
    For a gas, RCv=0.4\frac{R}{C_v} = 0.4, where R is universal gas constant and CvC_v is molar specific heat at constant volume. The gas is made up of molecules which are

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  24. 24
    The a.c. source of e.m.f. with instantaneous value 'e' is given by e=200sin⁡(50t)e = 200\sin(50t) volt. The r.m.s value of current in a circuit of resistance 50 Ω50\,\Omega is

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  25. 25
    A parallel plate capacitor is charged by a battery and battery remains connected. The dielectric slab of constant 'K' is inserted between the plates and then taken out, then electric field between the plates

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  26. 26
    The self-inductance 'L' of a solenoid of length 'l' and area of cross-section 'A' with a fixed number of turns 'N' increases as

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  27. 27
    Potential difference between the points P and Q is nearly

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  28. 28
    In the digital circuit the inputs are as shown in figure. The Boolean expression for output Y is

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  29. 29
    According to Boyle's law, the product pv remains constant. The unit of pv is same as that of

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  30. 30
    In a conical pendulum the bob of mass 'm' moves in a horizontal circle of radius 'r' with uniform speed 'V'. The string of length 'L' describes a cone of semi vertical angle 'θ\theta'. The centripetal force acting on the bob is (g=g = acceleration due to gravity)

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  31. 31
    A fluid of density 'ρ\rho' is flowing through a uniform tube of diameter 'd'. The coefficient of viscosity of the fluid is 'η\eta', then critical velocity of the fluid is

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  32. 32
    Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio.

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  33. 33
    According Bohr's theory of hydrogen atom, the total energy of the electron in the nth stationary orbit is

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  34. 34
    Two bodies A and B at temperature 'T1T_1'K and 'T2T_2'K respectively have the same dimensions. Their emissivities are in the ratio 1 : 3. If they radiate the same amount of heat per unit area per unit time, then the ratio of their temperatures (T1:T2T_1 : T_2) is

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  35. 35
    If p-n junction diode is in forward bias then

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  36. 36
    In Young's double slit experiment, the fifth maximum with wavelength 'λ1\lambda_1' is at a distance 'y1y_1' and the same maximum with wavelength 'λ2\lambda_2' is at a distance 'y2y_2' measured from the central bright band. Then y1y2\frac{y_1}{y_2} is equal to [DD and dd are constant]

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  37. 37
    Two long conductor separated by a distance 'd' carry currents I1I_1 and I2I_2 in the same direction. They exert a force 'F' on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance between them is also increased to 3d. The new value of force between them is

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  38. 38
    Two cars A and B start from a point at the same time in a straight line and their positions are represented by RA(t)=at+bt2R_A(t) = at + bt^2 and RB(t)=xt−t2R_B(t) = xt - t^2. At what time do the cars have same velocity?

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  39. 39
    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 \times 10^{-6}/{}^{\circ}\text{C} and αB=27×10−6/∘C\alpha_B = 27 \times 10^{-6}/{}^{\circ}\text{C}, the lengths of the two rods are

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  40. 40
    Two spherical conductors of capacities 3 μF3\,\mu\text{F} and 2 μF2\,\mu\text{F} are charged to same potential having radii 3 cm and 2 cm respectively. If 'σ1\sigma_1' and 'σ2\sigma_2' represent surface density of charge on respective conductors then σ1σ2\frac{\sigma_1}{\sigma_2} is

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  41. 41
    Two batteries, one of e.m.f. 12 V and internal resistance 2 Ω2\,\Omega and other of e.m.f 6 V and internal resistance 1 Ω1\,\Omega, are connected as shown in the figure. What will be the reading of the voltmeter 'V'?

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  42. 42
    If temperature of a molecules is raised from 127∘C127^{\circ}\text{C} to 527∘C527^{\circ}\text{C}, the ratio of r.m.s. speed of the molecules is respectively:

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  43. 43
    Three identical capacitors of capacitance 'C' each are connected in series and this connection is connected in parallel with one more such identical capacitor. Then the capacitance of whole combination is

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  44. 44
    The path difference between two waves, represented by y1=a1sin⁡ ⁣(ωt−2πxλ)y_1 = a_1\sin\!\left(\omega t - \frac{2\pi x}{\lambda}\right) and y2=a2cos⁡ ⁣(ωt−2πxλ+ϕ)y_2 = a_2\cos\!\left(\omega t - \frac{2\pi x}{\lambda} + \phi\right) is

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  45. 45
    The ratio of energy required to raise a satellite to a height 'h' above the earth's surface to that required to put it into the orbit at the same height is (R=R = radius of earth)

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  46. 46
    The a.c. source is connected to series LCR circuit. If voltage across R is 40 V, that across L is 80 V and that across C is 40 V, then the e.m.f. 'e' of a.c. source is

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  47. 47
    A beam of light of wavelength 600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between the first dark fringe on either side of the central bright fringe is

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  48. 48
    An electromagnetic wave, whose wave normal makes an angle of 45∘45^{\circ} with the vertical, travelling in air strikes a horizontal liquid surface. While travelling through the liquid it gets deviated through 15∘15^{\circ}. What is the speed of the electromagnetic wave in the liquid, if the speed in air is 3×1083 \times 10^8 m/s? sin⁡30∘=0.5\sin 30^{\circ} = 0.5, sin⁡45∘=12\sin 45^{\circ} = \frac{1}{\sqrt{2}}

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  49. 49
    A transverse wave in a medium is given by y=Asin⁡2(ωt−kx)y = A\sin^2(\omega t - kx). It is found that the magnitude of the maximum velocity of particles in the medium is equal to that of the wave velocity. What is the value of A?

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  50. 50
    Bohr model is applied to a particle of mass 'm' and charge 'q' moving in a plane under the influence of a transverse magnetic field 'B'. The energy of the charged particle in the nn-th level will be [h=h = Planck's constant]

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Chemistry

50 questions

  1. 51
    What is the oxidation number of sulfur in H2SO5\text{H}_2\text{SO}_5?

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  2. 52
    What is the work done during oxidation of 4 moles of SO2(g)\text{SO}_2(g) to SO3(g)\text{SO}_3(g) at 27∘C27^{\circ}\text{C} (R=8.314 J K−1mol−1R = 8.314\text{ J K}^{-1}\text{mol}^{-1})

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  3. 53
    What is the pH of 0.005 M NaOH solution?

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  4. 54
    Identify the salt that undergoes hydrolysis and forms acidic solution from following.

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  5. 55
    Which from following cations in their respective oxidation develops colourless aqueous solution?

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  6. 56
    Which from following substances consists of total 1 mole atoms in it? (Molar mass of NH3=17,H2O=18,N2=28,CO2=44\text{NH}_3 = 17, \text{H}_2\text{O} = 18, \text{N}_2 = 28, \text{CO}_2 = 44)

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  7. 57
    Identify anionic complex from following.

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  8. 58
    What is the value of percent atom economy when an organic compound of formula weight 75 u is obtained from reactants having sum formula weight 225 u?

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  9. 59
    Identify the expression for average rate for following reaction. N2(g)+3H2(g)→2NH3(g)\text{N}_2(g) + 3\text{H}_2(g) \to 2\text{NH}_3(g)

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  10. 60
    Identify the formula of potassium trioxalatoaluminate(III).

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  11. 61
    When tert-butyl bromide is heated with silver fluoride, the major product obtained is

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  12. 62
    The reaction of aryl halide with alkyl halide and sodium metal in dry ether to form substituted aromatic compounds is known as

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  13. 63
    Which of the following is positively charged Sol?

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  14. 64
    Which of the following enzyme is found in saliva?

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  15. 65
    Calculate the molar mass of metal having density 9.3 g cm−39.3\ \text{g cm}^{-3} that forms simple cubic unit cell. [a3⋅NA=22.6 cm3 mol−1][a^3 \cdot N_A = 22.6\ \text{cm}^3\ \text{mol}^{-1}]

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  16. 66
    A weak base is 1.42%1.42\% dissociated in its 0.05 M solution. Calculate its dissociation constant.

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  17. 67
    Which among the following is NOT a feature of SN2\text{S}_\text{N}2 mechanism?

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  18. 68
    Identify 'A' and 'B' in the following reaction. CH3Br→AgNO2A→Sn/HClB\text{CH}_3\text{Br} \xrightarrow{\text{AgNO}_2} A \xrightarrow{\text{Sn/HCl}} B

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  19. 69
    A solution of nonvolatile solute is obtained by dissolving 1.5 g in 30 g solvent has boiling point elevation 0.65 K. Calculate the molal elevation constant if molar mass of solute is 150 g mol−1150\text{ g mol}^{-1}.

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  20. 70
    Identify the false statement about ideal solution from following.

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  21. 71
    Methyl propanoate on hydrolysis with dil NaOH forms a salt which on further acidification with conc. HCl forms

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  22. 72
    The Common name of Benzene-1,3-diol is

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  23. 73
    Which from following sentences is NOT correct?

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  24. 74
    Which of the following statements is NOT true about Bohr atomic model ?

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  25. 75
    Which from following elements is isoelectronic with Na+Na^{+}?

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  26. 76
    For a reaction A+B⟶A + B \longrightarrow product, if [A]\lbrack A\rbrack is doubled keeping [B]\lbrack B\rbrack constant, the rate of reaction doubles. Calculate the order of reaction with respect to A .

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  27. 77
    Identify weakest halogen acid from following.

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  28. 78
    Identify the type of system if boiling water is kept in a half filled closed vessel.

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  29. 79
    Identify the reagent 'R' used in the following reaction. C6H5COCl→RC6H5CHO+HCl\text{C}_6\text{H}_5\text{COCl} \xrightarrow{R} \text{C}_6\text{H}_5\text{CHO} + \text{HCl}

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  30. 80
    What is the number of moles of secondary carbon atoms in n mole isopentane?

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  31. 81
    Which from following polymers is obtained from isoprene?

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  32. 82
    What is the formal charge on sulfur in the given Lewis structure?

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  33. 83
    Which element from following does NOT exhibit spin only magnetic moment in +3 state?

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  34. 84
    Identify the product obtained in the following reaction. (CH3CO)2O→H2O(\text{CH}_3\text{CO})_2\text{O} \xrightarrow{\text{H}_2\text{O}} product

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  35. 85
    Calculate the Ecell∘E^\circ_\text{cell} for Zn(s)∣Zn2+(1M)∥Cd2+(1M)∣Cd(s)\text{Zn}(s)|\text{Zn}^{2+}(1\text{M})\|\text{Cd}^{2+}(1\text{M})|\text{Cd}(s) at 25∘C25^{\circ}\text{C}. EZn∘=−0.763 VE^\circ_{\text{Zn}} = -0.763\text{ V}; ECd∘=−0.403 VE^\circ_{\text{Cd}} = -0.403\text{ V}

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  36. 86
    Find the radius of an atom in fcc unit cell having edge length 405 pm

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  37. 87
    Identify the final product formed on ammonolysis of benzyl chloride followed by the reaction with two moles of CH3I\text{CH}_3\text{I}.

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  38. 88
    If N2\text{N}_2 gas is compressed at 2 atmosphere from 9.0 L to 3.0 L at 300 K, find the final pressure at same temperature?

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  39. 89
    Which from following properties is NOT exhibited by LDPE?

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  40. 90
    If Aniline →(i) NaNO2+HCl, 273 K→(ii) H2O, Δ\xrightarrow{(i)\,\text{NaNO}_2+\text{HCl},\,273\text{ K}}\xrightarrow{(ii)\,\text{H}_2\text{O},\,\Delta} product. Identify the product of above reaction.

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  41. 91
    Identify nonbenzenoid aromatic compound from following.

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  42. 92
    Which from following is NOT an example of amorphous solid?

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  43. 93
    Calculate osmotic pressure of 0.2 M aqueous KCl solution at 0∘C0^{\circ}\text{C} if Van't Hoff factor for KCl is 1.83. R=0.082 dm3 atm mol−1 K−1R = 0.082\text{ dm}^3\text{ atm mol}^{-1}\text{ K}^{-1}

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  44. 94
    Calculate the rate constant of the first order reaction if 80% of the reactant reacted in 15 minutes.

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  45. 95
    Calculate ΔStotal\Delta S_\text{total} for the following reaction at 300 K. NH4NO3(s)→NH4+(aq)+NO3−(aq)\text{NH}_4\text{NO}_3(s) \to \text{NH}_4^+(aq) + \text{NO}_3^-(aq); ΔH=28.1 kJ mol−1\Delta H = 28.1\text{ kJ mol}^{-1}, ΔSsys=108.7 J K−1mol−1\Delta S_\text{sys} = 108.7\text{ J K}^{-1}\text{mol}^{-1}

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  46. 96
    Which of the following phenomenon is not explained by the open chain structure of glucose?

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  47. 97
    Which among the following phenols has highest melting point?

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  48. 98
    Which from following molecules exhibits lowest thermal stability?

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  49. 99
    Identify the element having general electronic configuration ns1ns^1 from following.

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  50. 100
    Calculate the degree of dissociation of 0.01 M acetic acid at 25∘C25^{\circ}\text{C}. Λc=15.0 Ω−1cm2mol−1\Lambda_c = 15.0\,\Omega^{-1}\text{cm}^2\text{mol}^{-1} and Λ0=300 Ω−1cm2mol−1\Lambda_0 = 300\,\Omega^{-1}\text{cm}^2\text{mol}^{-1}

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