JEE Main questions
34495 published questions with worked solutions.
- Radius of the first excited state of Helium ion is given as : a0 → radius of first stationary state of hydrogen atom.
- Statement I : CH3 – O – CH2 – Cl will undergo SN1 reaction though it is a primary halide. Statement II : CH3 – C(CH3)(CH3) – CH2...
- Statement I : One mole of propyne reacts with excess of sodium to liberate half a mole of H2 gas. Statement II : Four g of...
- A vessel at 1000 K contains CO2 with a pressure of 0.5 atm. Some of CO2 is converted into CO on addition of graphite. If total...
- The IUPAC name of the following compound is : CH3–CH(COOH)–CH2–CH2–CH(COOCH3)–CH3
- Which of the following electrolyte can be used to obtain H2S2O8 by the process of electrolysis?
- Arrange the following solutions in order of their increasing boiling points. (i) 10⁻⁴ M NaCl (ii) 10⁻⁴ M Urea (iii) 10⁻³ M NaCl...
- From the magnetic behaviour of [NiCl4]2– (paramagnetic) and [Ni(CO)4] (diamagnetic), choose the correct geometry and oxidation...
- The incorrect statements regarding geometrical isomerism are : (A) Propene shows geometrical isomerism. (B) Trans isomer has...
- The number of molecules/ions that show linear geometry among the following is _______ . SO2, BeCl2, CO2, N_3^-, NO2, F2O, XeF2,...
- A → B The molecule A changes into its isomeric form B by following a first order kinetics at a temperature of 1000 K. If the...
- In a group of 3 girls and 4 boys, there are two boys B_1 and B_2. The number of ways, in which these girls and boys can stand in...
- Let P(4, 4 3 ) be a point on the parabola y^2 = 4ax and PQ be a focal chord of the parabola. If M and N are the foot of...
- For a 3 3 matrix M, let trace (M) denote the sum of all the diagonal elements of M. Let A be a 3 3 matrix such that |A| = 1 2 and...
- Suppose that the number of terms in an A.P is 2k, k N. If the sum of all odd terms of the A.P. is 40, the sum of all even terms...
- If _ x ( ( e 1-e ) ( 1 e - x 1+x ) )^x = , then the value of _e 1+ _e equals :
- Let f(x) = _0^ x^2 t^2-8t+15 e^t ,dt, x R . Then the number of local maximum and local minimum points of f, respectively, are :
- If x = f(y) is the solution of the differential equation (1+y^2) + (x - 2e^ ^ -1 y ) dy dx = 0, y (- 2 , 2 ) With f(0) = 1, then...
- If e^x ( x ^ -1 x 1-x^2 + ^ -1 x (1-x^2)^ 3/2 + x 1-x^2 )dx = g(x)+C, Where C is the constant of integration, then g ( 1 2 )...
- Let _ and _ be the distinct roots of 2x^2 + ( )x - 1 = 0, (0, 2 ). If m and M are the minimum and the maximum values of _ ^4+ _...