JEE Advanced questions
829 published questions with worked solutions.
- Let |M| denote the determinant of a square matrix M. Let g: [0, 2 ] R be the function defined by g( ) = f( ) - 1 + f ( 2 - ) - 1...
- Consider the following lists: List-I (I) x [- 2 3 , 2 3 ] : x + x = 1 (II) x [- 5 18 , 5 18 ] : 3 3x = 1 (III) x [- 6 5 , 6 5 ] :...
- Let p, q, r be nonzero real numbers that are, respectively, the 10^ th , 100^ th and 1000^ th terms of a harmonic progression....
- Consider the ellipse x^2 4 + y^2 3 = 1. Let H( , 0), 0 < < 2, be a point. A straight line drawn through H parallel to the y-axis...
- Two spherical stars A and B have densities _A and _B, respectively. A and B have the same radius, and their masses M_A and M_B...
- The minimum kinetic energy needed by an alpha particle to cause the nuclear reaction ^ 16 _ 7 N + ^ 4 _ 2 He ^ 1 _ 1 H + ^ 19 _ 8...
- At time t = 0, a disk of radius 1 m starts to roll without slipping on a horizontal plane with an angular acceleration of = 2 3...
- Consider an LC circuit, with inductance L = 0.1 H and capacitance C = 10^ -3 F, kept on a plane. The area of the circuit is 1...
- A projectile is fired from horizontal ground with speed v and projection angle . When the acceleration due to gravity is g, the...
- The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are...
- List I describes thermodynamic processes in four different systems. List II gives the magnitudes (either exactly or as a close...
- 2 mol of Hg(g) is combusted in a fixed volume bomb calorimeter with excess of O _2 at 298 K and 1 atm into HgO(s). During the...
- The reduction potential (E^0, in V) of MnO _4^-(aq)/ Mn (s) is _____. [Given: E^0_ ( MnO _4^-(aq)/ MnO _2(s)) = 1.68 V; E^0_ (...
- A solution is prepared by mixing 0.01 mol each of H _2 CO _3, NaHCO _3, Na _2 CO _3, and NaOH in 100 mL of water. pH of the...
- Dissolving 1.24 g of white phosphorous in boiling NaOH solution in an inert atmosphere gives a gas Q. The amount of CuSO _4 (in...
- For diatomic molecules, the correct statement(s) about the molecular orbitals formed by the overlap of two 2p_z orbitals is(are)
- The correct option(s) related to adsorption processes is(are)
- The electrochemical extraction of aluminum from bauxite ore involves
- The treatment of galena with HNO _3 produces a gas that is
- LIST-I contains metal species and LIST-II contains their properties. LIST-I (I) [ Cr(CN) _6]^ 4- (II) [ RuCl _6]^ 2- (III) [ Cr(H...