Engineering Questions — Jee Main

Q.52. The first and second ionization constants of a weak dibasic acid are and respectively. 0.1 mol of was dissolved in 1L of 0.1 M HCl solution. The concentration of in the resultant solution i

Q.30. A solid sphere of mass M and radius R is divided into two unequal parts. The smaller part having mass M/8 is converted into a sphere of radius r and the larger part is converted into a circular

Q.42. For a certain metal, when monochromatic light of wavelength is incident, the stopping potential for photoelectrons is 3V. When the same metal is illuminated by light of wavelength , then the st

Q.18. The value of the integral is:

Q.66. Given below are two statements : Statement-I : 3-phenylpropene reacts with HBr and gives secondary alkyl bromide having a chiral carbon atom as the major product. Statement-II: Aryl chlorides an

Q.30. A planet (P) is moving around the star of mass in the orbit of radius . Another planet (P) is moving around another star of mass in a orbit of radius . Ratio of time periods of revolution of P

Q.33. A slit of width a is illuminated by light of wavelength . The linear separation between and minima in the diffraction pattern produced on a screen placed at a distance D from the slit system i

Q.69. Given below are two statements : Statement-I : [Figure: Glucose anomers] are two anomers of D-(+)-glucose. Statement-II : The open chain forms of D-glucose and D-fructose contain three similar c

Q.27. The potential energy of a particle changes with distance from a fixed origin as where and are constant with appropriate dimensions. The dimension of are ________.

Q.71. If 3.365 g of ethanol (l) burnt completely in a bomb calorimeter at 298.15K, the heat produced is 99.472 kJ. The |ΔH| of ethanol at 298.15 K is ______ × 10² kJ mol⁻¹. (Nearest integer) Given : S

Q.15. Let and be unit vectors inclined at an acute angle such that . If . Then is equal to :

Q.62. Given below are two statements : Statement I: Vapours of the liquid with higher boiling point condense before vapours of the liquid with lower boiling points in fractional distillation. Statemen

Q.6. The sum of the first ten terms of an A.P. is 160 and the sum of the first two terms of a G.P. is 8. If the first term of the A.P. is equal to the common ratio of the G.P. and the first term of th

Q.74. Sucrose hydrolyses in acidic medium into glucose and fructose by first order rate law with t = 3 hour. The percentage of sucrose remaining after 6 hours is ______ (Nearest integer) (Given: log 2

Q.39. A current carrying circular loop of radius 2 cm with unit normal \hat{n} = \frac{\hat{k}+\hat{i}}{\sqrt{2}} is placed in a magnetic field, B=B₀(3i+2k). If B₀ = 4 × 10⁻³ T and current I=100\sqrt{

Q.53. Which of the following pictorial diagram most correctly represents the ( - antibonding) molecular orbital between two atoms if the internuclear axis is taken to be in the z-direction (z-axis )?

Q.39. A solenoid has a core made of material with relative permeability 400. The magnetic field produced in the interior of solenoid is 1.0T. The magnetic intensity in SI units is . The value of is _

Q.32. The graph shows variation of stopping potential with the frequency of the incident radiation for three photosensitive metals , , and . Which metal will give out electrons with greater kinetic

Q.63. R value for 2-methylpropene in a solvent system (Ethyl acetate + ether) is 0.42. 2-methylpropene is treated with dilute HSO to give major organic product (X). R value for (X) in the same solvent

Q.53. The covalent radii of atoms A and B are r and r, respectively. The covalent bond length and total length of AB molecule are respectively :