JEE Main questions
34568 published questions with worked solutions.
- IUPAC name of following compound is: CH₃–CH(NH₂)–CH₂–CN
- The orange colour of K₂Cr₂O₇ and purple colour of KMnO₄ is due to
- Which among the following purification methods is based on the principle of "Solubility" in two different solvents?
- Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : H₂Te is more...
- Total number of species from the following which can undergo disproportionation reaction is ________. H₂O₂, ClO₃⁻, P₄, Cl₂, Ag,...
- Number of complexes which show optical isomerism among the following is ________. cis-[Cr(ox)₂Cl₂]³⁻, [Co(en)₃]³⁺,...
- NO₂ required for a reaction is produced by decomposition of N₂O₅ in CCl₄ as by equation 2N₂O₅(g) → 4NO₂(g) + O₂(g). The initial...
- Number of spectral lines obtained in He⁺ spectra, when an electron makes transition from fifth excited state to first excited...
- Number of metal ions characterized by flame test among the following is ________. Sr²⁺, Ba²⁺, Ca²⁺, Cu²⁺, Zn²⁺, Co²⁺, Fe²⁺
- Two reaction are given below : 2Fe(s) + (3/2)O₂(g) → Fe₂O₃(s), ΔH° = –822 kJ/mol; C(s) + ½O₂(g) → CO(g), ΔH° = –110 kJ/mol. Then...
- 2-chlorobutane + Cl₂ → C₄H₈Cl₂ (isomers). Total number of optically active isomers shown by C₄H₈Cl₂, obtained in the above...
- The pH of an aqueous solution containing 1 M benzoic acid (pK_a = 4.20) and 1 M sodium benzoate is 4.5. The volume of benzoic...
- Let a⃗ and b⃗ be two vectors such that |b⃗| = 1 and |b⃗ × a⃗| = 2. Then |(b⃗ × a⃗) − b⃗|² is equal to
- Let A(α, 0) and B(0, β) be the points on the line 5x + 7y = 50. Let the point P divide the line segment AB internally in the...
- Let y = f(x) be a thrice differentiable function in (–5, 5). Let the tangents to the curve y = f(x) at (1, f(1)) and (3, f(3))...
- Let a and b be real constants such that the function f defined by f(x) = cases x^2 + 3x + a, & x 1 bx + 2, & x > 1 cases be...
- If the domain of the function f(x) = _e ( 2x+3 4x^2+x-3 ) + ^ -1 ( 2x-1 x+2 ) is (α, β], then the value of 5β – 4α is equal to
- Let a = i + j + k, α, β ∈ ℝ. Let a vector b⃗ be such that the angle between a⃗ and b⃗ is π/4 and |b⃗|² = 6. If a⃗·b⃗ = 3√2, then...
- Let f : ℝ → ℝ be a function defined by f(x) = x (1+x^4)^ 1/4 , and g(x) = f(f(f(f(x)))). Then 18 _0^ 2 5 x^2g(x)dx is equal to
- If z is a complex number, then the number of common roots of the equations z¹⁹⁸⁵ + z¹⁰⁰ + 1 = 0 and z³ + 2z² + 2z + 1 = 0, is...