Engineering QuestionsJEE Main

379 solved questions with detailed explanations

1

Q.66. Given below are two statements:Statement-I : Due to increase in van der Waals forces, the order of boiling points is .Statement-II: As [Figure: Structure of p-dichlorobenzene] is more symmetric,

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2

Q.51. The mass of iron converted into FeO by the action of 18 g of steam is : (Given : Molar mass of H, O and Fe are 1, 16 and 56 g mol respectively) Assume iron is present in excess :

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3

Q.51. What volume of hydrogen gas at STP would be liberated by action of 50 mL of of 50% purity (density = 1.3 g mL⁻¹) on 20 g of zinc ? Given : Molar mass of H, O, S, Zn are 1, 16, 32, 65 g mol⁻¹ re

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4

Q.26. The dimensional formula of ( = permittivity of vacuum and E = electric field) is . The value of =

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5

Q.53. Given below are two statements : Statement (I): The correct sequence of bond lengths in the following species is : O < O < O Statement (II): The correct sequence of number of unpaired electrons

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6

Q.55. 19.5 g of fluoro acetic acid (molar mass = 78 g mol) is dissolved in 500g of water at 298 K. The depression in the freezing point of water was 1°C. What is K of fluoro acetic acid ? (For water,

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7

Q.34. The two wires A and B of equal cross-section but of different materials are joined together. The ratio of Young's modulus of wire A and wire B is 20/11. When the joined wire is kept under certai

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8

Q.29. If x and y coordinates of a projectile as a function of time (t) are given as and , respectively, then the angle (in degrees) made by the projectile with horizontal when is

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9

Q.72. 'x' is the product which is obtained from benzene by reacting it with carbon monoxide and hydrogen chloride in the presence of cuprous chloride. 'y' is the major product obtained from the benzen

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10

Q.40. A 30 cm long solenoid has 10 turns per cm and area of 5 cm². The current through the solenoid coil varies from 2 A to 4 A is 3.14 s. The e.m.f. induced in the coil is a × 10⁻⁵ V. The value a is

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11

Q.22. Let the centre of the circle be in the first quadrant and lie on the line . Let the area of an equilateral triangle inscribed in the circle be . Then the square of the length of the chord of th

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12

Q.44. The de Broglie wavelength associated with an electron accelerated through a potential difference V is and the de Broglie wavelength associated with a proton accelerated through the same potenti

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13

Q.55. The correct order of molar heat capacities measured at 298 K and 1 bar is :

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14

Q.57. Consider the reaction , for which the rate constant at is . Which of the following statements are true? A. When concentration of 'X' is increased to four times, the rate of reaction becomes 16

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15

Q.61. Match the List-I with List-II List-I (Electronic configuration of tetrahedral metal ion) | List-II (Crystal Field Stabilization Energy ()) A. d | I. -0.6 B. d | II. -0.8 C. d | III. -1.2 D. d |

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16

Q.74. For reaction A → P, rate constant k = 1.5 s⁻¹ at 27°C. If activation energy for the above reaction is 60 kJ mol⁻¹, then the temperature (in °C) at which rate constant, k = 4.5 s⁻¹ is _________

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17

Q.30. A thin biconvex lens is prepared from the glass (μ = 1.5) both curved surfaces of which have equal radii of 20 cm each. Left side surface of the lens is silvered from outside to make it reflecti

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18

Q.71. Number of paramagnetic complexes among the following is [MnBr₄]²⁻, [NiCl₄]²⁻, [Ni(CN)₄]²⁻, [Ni(CO)₄], [CoF₆]³⁻, [Fe(CN)₆]⁴⁻, [Mn(CN)₆]³⁻, [Ti(CN)₆]³⁻, [Cu(H₂O)₆]²⁺, [Co(C₂O₄)₃]³⁻

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19

Q.39. Given below are two statements: one is labelled as Assertion (A): and the other is labelled as Reason (R). Assertion (A): The electromagnetic wave exerts pressure on the surface on which they ar

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20

Q.57. Given below are two statements : R = 8.314 J K⁻¹ mol⁻¹ and 1 cal = 4.2 J Statement I: When Ea = 12.6 kcal/mol, the room temperature rate constant is doubled by a 10°C increase in temperature (29

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