JEE Advanced questions
829 published questions with worked solutions.
- One mole of a monatomic ideal gas undergoes an adiabatic expansion in which its volume becomes eight times its initial value. If...
- In a photoelectric experiment a parallel beam of monochromatic light with power of 200 W is incident on a perfectly absorbing...
- The correct option(s) regarding the complex [Co(en)(NH_3)_3(H_2O)]^ 3+ ( en=H_2NCH_2CH_2NH_2 ) is (are)
- The correct option(s) to distinguish nitrate salts of Mn^ 2+ and Cu^ 2+ taken separately is (are)
- To measure the quantity of MnCl_2 dissolved in an aqueous solution, it was completely converted to KMnO_4 using the reaction,...
- The surface of copper gets tarnished by the formation of copper oxide. N_2 gas was passed to prevent the oxide formation during...
- Consider the following reversible reaction, A(g)+B(g) AB(g) . The activation energy of the backward reaction exceeds that of the...
- Consider an electrochemical cell: A(s) ,| ,A^ n+ (aq,2 M) , | ,B^ 2n+ (aq,1 M) ,| ,B(s) . The value of H^ for the cell reaction...
- Match each set of hybrid orbitals from LIST–I with complex(es) given in LIST–II. LIST–I P. dsp^2 Q. sp^3 R. sp^3d^2 S. d^2sp^3...
- For any positive integer n, define f_n:(0, ) R as f_n(x)= _ j=1 ^ n ^ -1 ( 1 1+(x+j)(x+j-1) ) for all x (0, ). (Here, the inverse...
- Let S be the set of all column matrices bmatrix b_1 b_2 b_3 bmatrix such that b_1,b_2,b_3 R and the system of equations (in real...
- Consider two straight lines, each of which is tangent to both the circle x^2+y^2= 1 2 and the parabola y^2=4x. Let these lines...
- Let f:(0, ) R be a twice differentiable function such that _ t x f(x) t-f(t) x t-x = ^2x for all x (0, ). If f ( 6 )=- 12 , then...
- The value of the integral _0^ 1 2 1+ 3 ((x+1)^2(1-x)^6 )^ 1 4 ,dx is _____.
- Let P be a matrix of order 3 3 such that all the entries in P are from the set -1,0,1 . Then, the maximum possible value of the...
- Let f: R R be a differentiable function with f(0)=0. If y=f(x) satisfies the differential equation dy dx =(2+5y)(5y-2), then the...
- Let P be a point in the first octant, whose image Q in the plane x+y=3 (that is, the line segment PQ is perpendicular to the...
- 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...