JEE Advanced questions
3844 published questions with worked solutions.
- Consider the cube in the first octant with sides OP, OQ and OR of length 1, along the x-axis, y-axis and z-axis, respectively,...
- Let X= ( ^ 10 C_1 )^2+2 ( ^ 10 C_2 )^2+3 ( ^ 10 C_3 )^2+ +10 ( ^ 10 C_ 10 )^2, where ^ 10 C_r, r 1,2, ,10 denote binomial...
- Consider a spherical gaseous cloud of mass density (r) in free space where r is the radial distance from its center. The gaseous...
- A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is...
- A current carrying wire heats a metal rod. The wire provides a constant power (P) to the rod. The metal rod is enclosed in an...
- A charged shell of radius R carries a total charge Q. Given as the flux of electric field through a closed cylindrical surface of...
- Let us consider a system of units in which mass and angular momentum are dimensionless. If length has dimension of L, which of...
- Two identical moving coil galvanometers have 10 resistance and full scale deflection at 2 current. One of them is converted into...
- A parallel plate capacitor of capacitance C has spacing d between two plates having area A. The region between the plates is...
- A liquid at 30°C is poured very slowly into a Calorimeter that is at temperature of 110°C. The boiling temperature of the liquid...
- Fusion of MnO_2 with KOH in presence of O_2 produces a salt **W**. Alkaline solution of **W** upon electrolytic oxidation yields...
- Choose the reaction(s) from the following options, for which the standard enthalpy of reaction is equal to the standard enthalpy...
- Each of the following options contains a set of four molecules. Identify the option(s) where all four molecules possess permanent...
- Among B_2H_6 , B_3N_3H_6 , N_2O , N_2O_4 , H_2S_2O_3 and H_2S_2O_8 , the total number of molecules containing covalent bond...
- At 143 K, the reaction of XeF_4 with O_2F_2 produces a xenon compound **Y**. The total number of lone pair(s) of electrons...
- For the following reaction, the equilibrium constant K_c at 298 K is 1.6 10^ 17 . Fe^ 2+ (aq)+ S^ 2- (aq) FeS (s) When equal...
- On dissolving 0.5 g of a non-volatile non-ionic solute to 39 g of benzene, its vapor pressure decreases from 650 mm Hg to 640 mm...
- Consider the kinetic data given in the following table for the reaction A + B + C Product. array |c|c|c|c|c| Experiment No. & [ A...
- Let S be the set of all complex numbers z satisfying |z-2+i| 5 . If the complex number z_0 is such that 1 |z_0-1| is the maximum...
- Let M= bmatrix ^4 & -1- ^2 1+ ^2 & ^4 bmatrix = I+ M^ -1 , where = ( ) and = ( ) are real numbers, and I is the 2 2 identity...