JEE Advanced questions
829 published questions with worked solutions.
- Consider the following reactions (unbalanced) Zn + hot conc. H_2SO_4 → **G** + **R** + **X** Zn + conc. NaOH → **T** + **Q**...
- The ground state energy of hydrogen atom is −13.6 eV. Consider an electronic state of He^+ whose energy, azimuthal quantum number...
- The amount of water produced (in g) in the oxidation of 1 mole of rhombic sulphur by conc. HNO_3 to a compound with the highest...
- Total number of *cis* N–Mn–Cl bond angles (that is, Mn–N and Mn–Cl bonds in *cis* positions) present in a molecule of *cis*-...
- The decomposition reaction 2N_2O_5(g) 2N_2O_4(g)+O_2(g) is started in a closed cylinder under isothermal isochoric condition at...
- The mole fraction of urea in an aqueous urea solution containing 900 g of water is 0.05. If the density of the solution is 1.2 g...
- Total number of isomers, considering both structural and stereoisomers, of cyclic ethers with the molecular formula C_4H_8O is...
- Let P_1=I= bmatrix 1&0&0 0&1&0 0&0&1 bmatrix , P_2= bmatrix 1&0&0 0&0&1 0&1&0 bmatrix , P_3= bmatrix 0&1&0 1&0&0 0&0&1 bmatrix ,...
- For non-negative integers n, let f(n)= _ k=0 ^ n ( k+1 n+2 ) ( k+2 n+2 ) _ k=0 ^ n ^2 ( k+1 n+2 ) Assuming ^ -1 x takes values in...
- Let f: R R be a function. We say that f has PROPERTY 1 if _ h 0 f(h)-f(0) |h| exists and is finite, and PROPERTY 2 if _ h 0...
- Let f(x)= x x^2 , x>0. Let x_1<x_2<x_3< <x_n< be all the points of local maximum of f and y_1<y_2<y_3< <y_n< be all the points of...
- For a R , |a|>1, let _ n ( 1+ [3] 2 + + [3] n n^ 7/3 ( 1 (an+1)^2 + 1 (an+2)^2 + + 1 (an+n)^2 ) )=54. Then the possible value(s)...
- Let f: R R be given by f(x)=(x-1)(x-2)(x-5). Define F(x)= _0^xf(t) ,dt, x>0. Then which of the following options is/are correct?
- Three lines L_1: r = i , R , L_2: r = k + j , R and L_3: r = i + j +v k , v R are given. For which point(s) Q on L_2 can we find...
- Suppose bmatrix _ k=0 ^ n k & _ k=0 ^ n ^nC_kk^2 _ k=0 ^ n ^nC_kk & _ k=0 ^ n ^nC_k3^k bmatrix =0 holds for some positive integer...
- Let |X| denote the number of elements in a set X. Let S= 1,2,3,4,5,6 be a sample space, where each element is equally likely to...
- The value of ^ -1 ( 1 4 _ k=0 ^ 10 ( 7 12 + k 2 ) ( 7 12 + (k+1) 2 ) ) in the interval [- 4 , 3 4 ] equals _____
- The value of the integral _0^ /2 3 ( + )^5 ,d equals _____
- Let a =2 i + j - k and b = i +2 j + k be two vectors. Consider a vector c = a + b , , R . If the projection of c on the vector (...
- A particle of mass m moves in circular orbits with potential energy V(r) = Fr, where F is a positive constant and r is its...