JEE Main questions
34568 published questions with worked solutions.
- Which out of the following is a correct equation to show change in molar conductivity with respect to concentration for a weak...
- Number of oxygen atoms present in chemical formula of fuming sulphuric acid is ________.
- A transition metal 'M' among Sc, Ti, V, Cr, Mn and Fe has the highest second ionisation enthalpy. The spin only magnetic moment...
- The vapour pressure of pure benzene and methyl benzene at 27°C is given as 80 Torr and 24 Torr, respectively. The mole fraction...
- Consider the following test for a group-IV cation. M²⁺ + H₂S → A (Black precipitate) + byproduct; A + aqua regia → B + NOCl + S +...
- Consider the following first order gas phase reaction at constant temperature A(g) → 2B(g) + C(g). If the total pressure of the...
- In the given TLC, the distance of spot A & B are 5 cm & 7 cm, from the bottom of TLC plate, respectively. R_f value of B is x ×...
- Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus...
- Total number of electron present in (π*) molecular orbitals of O₂, O₂⁺ and O₂⁻ is ______.
- When ΔH_vap = 30 kJ/mol and ΔS_vap = 75 J mol⁻¹ K⁻¹, then the temperature of vapour, at one atmosphere is ______ K.
- Consider the line L passing through the points (1, 2, 3) and (2, 3, 5). The distance of the point (11/3, 11/3, 19/3) from the...
- Let _0^x 1 - (y'(t))^2 dt = _0^xy(t)dt, 0 ≤ x ≤ 3, y ≥ 0, y(0) = 0. Then at x = 2, y″ + y + 1 is equal to :
- Let z be a complex number such that the real part of z - 2i z + 2i is zero. Then, the maximum value of |z − (6 + 8i)| is equal to...
- Let the foci of a hyperbola H coincide with the foci of the ellipse E : (x − 1)²/100 + (y − 1)²/75 = 1 and the eccentricity of...
- Two vertices of a triangle ABC are A(3, −1) and B(−2, 3), and its orthocentre is P(1, 1). If the coordinates of the point C are...Not in JEE syllabus
- If the variance of the frequency distribution is 160, then the value of c ∈ ℕ is | x | c | 2c | 3c | 4c | 5c | 6c |...
- Let the range of the function f(x) = 1 2 + 3x + 3x , x ∈ ℝ be [a, b]. If α and β are respectively the A.M. and the G.M. of a and...
- Between the following two statements : Statement-I : Let a⃗ = î + 2ĵ − 3k̂ and b⃗ = 2î + ĵ − k̂. Then the vector r⃗ satisfying a⃗...
- _ x 2 ( _ x^3 ^ ( /2)^3 ( (2t^ 1/3 ) + (t^ 1/3 ))dt (x - 2 )^2 ) is equal to :
- The sum of the coefficient of x^ 2/3 and x^ −2/5 in the binomial expansion of (x^ 2/3 + 12x^ -2/5 )^9 is :