Practice Questions

Q60.Number of cyclic tripeptides formed with 2 amino acids A and B is: (1) 2 (2) 3 (3) 5 (4) 4

Q60.The difference in the oxidation state of Xe between the oxidised product of Xe formed on complete hydrolysis of XeF4and XeF4 is 2𝑧- 3𝑖

Q60.Number of moles of AgCl formed in the following reaction is _____ . JEE Main 2023 (24 Jan Shift 1) JEE Main Previous Year Paper

Q60.The homoleptic and octahedral complex of Co2+ and H2O has ______ unpaired electron(s) in the t2g set of orbitals.

Q60.A ( g ) →2 B ( g ) + C ( g ) is a first order reaction. The initial pressure of the system was found to be 800 mm Hg which increased to 1600 mm Hg after 10 min. The total pressure of the system after 30 min will be mm Hg. (Nearest integer)

Q60.An athlete is given 100 g of glucose (C6H12O6) for energy. This is equivalent to 1800 kJ of energy. The 50% of this energy gained is utilized by the athlete for sports activities at the event. In order to avoid storage of energy, the weight of extra water he would need to perspire is _____g (Nearest integer) Assume that there is no other way of consuming stored energy. Given : The enthalpy of evaporation of water is 45 kJ mol−1 Molar mass of C, H&O are 12.1 and 16 g mol−1 .

Q60.Total number of tripeptides possible by mixing of valine and proline is ________ .

Q60.In potassium ferrocyanide, there are ______ pairs of electrons in the t2g set of orbitals. 2𝑧- 3𝑖

Q61.Let 𝛼, 𝛽 be the roots of the equation 𝑥2 - √2𝑥+ 2 = 0 Then 𝛼14 + 𝛽14 is equal to (1) -64 (2) -64√2 (3) -128 (4) -128√2

Q61.The number of real roots of the equation x|x| −5|x + 2| + 6 = 0 , is (1) 5 (2) 4 (3) 6 (4) 3 ¯ ¯

Q61.If the solution of the equation 1, 𝑥∈0, 𝜋 is sin-1𝛼+ √𝛽 , where 𝛼, 𝛽 are integers, logcos𝑥cot𝑥+ 4logsin𝑥tan𝑥= 2 2 then 𝛼+ 𝛽 is equal to: (1) 3 (2) 5 (3) 6 (4) 4 -2

Q61.Let 𝑝, 𝑞∈ℝ and (1 - √3𝑖) 200 = 2199 (𝑝+ 𝑖𝑞), 𝑖= √-1. Then, 𝑝+ 𝑞+ 𝑞2 and 𝑝- 𝑞+ 𝑞2 are roots of the equation. (1) 𝑥2 + 4𝑥- 1 = 0 (2) 𝑥2 - 4𝑥+ 1 = 0 (3) 𝑥2 + 4𝑥+ 1 = 0 (4) 𝑥2 - 4𝑥- 1 = 0

Q61.If the value of real number α > 0 for which x2 −5αx + 1 = 0 and x2 −αx −5 = 0 have a common real roots is 3 then β is equal to ________ √2β

Q62.If the set {Re ( 2−3z+5zz−z+zz ) : z ∈C, Re z = 3} is equal to the interval (α, β], then 24(β −α) is equal to (1) 36 (2) 27 (3) 30 (4) 42

Q62.Let 𝑆= 𝑧∈ℂ: ¯𝑧= 𝑖𝑧2 + Re ( ¯𝑧) . Then ∑𝑧∈𝑆| 𝑧| 2 is equal to (1) 5 (2) 4 2 (3) 7 (4) 3 2

Q62.For three positive integers 𝑝, 𝑞, 𝑟, 𝑥𝑝𝑞2 = 𝑦𝑞𝑟= 𝑧𝑝2𝑟 and 𝑟= 𝑝𝑞+ 1 such that 1 3, 3log𝑦𝑥, 3 log𝑧𝑦, 7log𝑥𝑧 are in A.P. with common difference 2. The 𝑟- 𝑝- 𝑞 is equal to (1) 2 (2) 6 (3) 12 (4) -6

Q63.All words, with or without meaning, are made using all the letters of the word 𝑀𝑂𝑁𝐷𝐴𝑌. These words are written as in a dictionary with serial numbers. The serial number of the word 𝑀𝑂𝑁𝐷𝐴𝑌 is JEE Main 2023 (13 Apr Shift 2) JEE Main Previous Year Paper (1) 327 (2) 328 (3) 324 (4) 326

Q37.Amongst baking soda, caustic soda and washing soda carbonate anion is present in : (1) Washing Soda only (2) washing soda and caustic soda only. (3) washing soda and baking soda only. (4) baking soda, caustic soda and washing soda.

Q51.If the work function of a metal is 6. 63 × 10−19 J, the maximum wavelength of the photon required to remove a photoelectron from the metal is____ nm. Nearest integer) [Given : h = 6. 63 × 10−34 J s, and c = 3 × 108 m s−1 ]

Q51.Consider an imaginary ion 48X322 - . The nucleus contains 'a' % more neutrons than the number of electrons in the ion. The value of 'a' is

Q51.The minimum uncertainty in the speed of an electron in one dimensional region of length 2ao (Where ao = Bohr radius 52. 9 pm) is____ kms−1 (Nearest integer) (Given : Mass of electron = 9. 1 × 10−31 kg , Planck's constant h = 6. 63 × 10−34 Js)

Q51.A 1 . 84mg sample of polyhydric alcoholic compound 'X' of molar mass 92 . 0 g / mol gave 1 . 344 mL of H2 gas at STP. The number of alcoholic hydrogen present in compound 'X' is

Q51.Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0. 46 gL−1 at 257 °C and 100 mmHg . The molar mass of geraniol is (Nearest Integer) [Given R = 0. 082 L atm K−1 mol−1 ] Q52. 17. 0 g of NH3 completely vapourises at −33. 42 °C and 1 bar pressure and the enthalpy change in the process is 23. 4 kJ mol−1 . The enthalpy change for the vapourisation of 85 g of NH3 under the same conditions is kJ.

Q51.The complete combustion of 0. 492 g of an organic compound containing ' C', ' H' and ' O' gives 0. 793 g of CO2 and 0. 442 g of H2O. The percentage of oxygen composition in the organic compound is____.(nearest integer) Q52. 100 g of an ideal gas is kept in a cylinder of 416 L volume at 27 °C under 1. 5 bar pressure. The molar mass of the gas is g mol−1 . (Nearest integer) (Given : R = 0. 083 L bar K−1 mol−1 )

Q51.A box contains 0. 90 g of liquid water in equilibrium with water vapour at 27°C. The equilibrium vapour pressure of water at 27°C 32. 0 Torr. When the volume of the box is increased, some of the liquid water evaporates to maintain the equilibrium pressure. If all the liquid water evaporates, then the volume of the box must be ______ litre. [nearest integer] (Given: R = 0. 082 L atm K−1 mol−1 _ (Ignore the volume of the liquid water and assume water vapours behave as an ideal gas.) Q52. 2. 2 g of nitrous oxide (N2O) gas is cooled at a constant pressure of 1 atm from 310 K to 270 K causing the compression of the gas from 217. 1 mL to 167. 75 mL. The change in internal energy of the process, △U is ′−x′J. The value of ′x′ is _____. [nearest integer] (Given: atomic mass of N = 14 g mol−1 and of O = 16 g mol−1 . Molar heat capacity of N2O is 100 JK−1 mol−1 )