JEE Main questions
34495 published questions with worked solutions.
- Statement I: Nitrogen forms oxides with +1 to +5 oxidation states due to the formation of pπ - pπ bond with oxygen. Statement II:...
- Identify the pair of reactants that upon reaction, with elimination of HCl will give rise to the dipeptide Gly-Ala.
- Rate law for a reaction between A and B is given by r = k[A]^n[B]^m. If concentration of A is doubled and concentration of B is...
- Which of the following molecule(s) show/s paramagnetic behavior? A. O2 B. N2 C. F2 D. S2 E. Cl2 Choose the correct answer from...
- Which one of the following complexes will have ΔO = 0 and μ = 5.96 B.M ?
- Let us consider a reversible reaction at temperature, T. In this reaction, both ΔH and ΔS were observed to have positive values....
- For A_2 + B_2 2AB, Ea for forward and backward reaction are 180 and 200 kJ mol⁻¹ respectively. If catalyst lowers Ea for both...
- Which one of the following about an electron occupying the 1s orbital in a hydrogen atom is incorrect ? (Bohr's radius is...
- KMnO4 acts as an oxidising agent in acidic medium. "X" is the difference between the oxidation states of Mn in reactant and...
- The pH of a 0.01 M weak acid HX (Ka = 4 × 10⁻¹⁰) is found to be 5. Now the acid solution is diluted with excess of water so that...
- Fortification of food with iron is done using FeSO4.7H2O. The mass in grams of the FeSO4.7H2O required to achieve 12 ppm of iron...
- Let the ellipse 3x^2 + py^2 = 4 pass through the centre C of the circle x^2 + y^2 - 2x - 4y - 11 = 0 of radius r. Let f_1, f_2 be...
- Let A = bmatrix 2 & 2+p & 2+p+q 4 & 6+2p & 8+3p+2q 6 & 12+3p & 20+6p+3q bmatrix If det(adj(adj(3A))) = 2^m 3^n, m, n N, then m +...
- Given below are two statements. Statement I: _ x 0 ( ^ -1 x + _e 1+x 1-x - 2x x^5 ) = 2 5 Statement II : _ x 1 (x^ 2 1-x ) = 1...
- Let a = i + 2 j + k and b = 2 i + j - k . Let c be a unit vector in the plane of the vector a and b and be perpendicular to a ....
- Let the value of for which the shortest distance between the lines x-1 2 = y-2 3 = z-3 4 and x- 3 = y-4 4 = z-5 5 is 1 6 be _1...
- Let A = 0, 1, 2, 3, 4, 5 . Let R be a relation on A defined by (x, y) R if and only if max x, y 3, 4 . Then among the statements...
- If 1 1^4 + 1 2^4 + 1 3^4 +....... = ^4 90 , 1 1^4 + 1 3^4 + 1 5^4 +....... = 1 2^4 + 1 4^4 + 1 6^4 +....... = Then is equal to
- Let the function f(x) = x 3 + 3 x +3, x 0 be strictly increasing in (- , _1) ( _2, ) and strictly decreasing in ( _3, _4) ( _4,...
- Let f(x) = x - 1 and g(x) = e^x for x R. If dy dx = (e^ -2 x g(f(f(x))) - y x ), y(0) = 0, then y(1) is