JEE Advanced questions
579 published questions with worked solutions.
- Reaction of Br_2 with Na_2CO_3 in aqueous solution gives sodium bromide and sodium bromate with evolution of CO_2 gas. The number...
- The maximum number of electrons that can have principal quantum number, n = 3, and spin quantum number, m_s = - 1 2 , is
- To an evacuated vessel with movable piston under external pressure of 1 atm., 0.1 mol of He and 1.0 mol of an unknown compound...
- The total number of alkenes possible by dehydrobromination of 3-bromo-3-cyclopentylhexane using alcoholic KOH is
- A decapeptide (Mol. Wt. 796) on complete hydrolysis gives glycine (Mol. Wt. 75), alanine and phenylalanine. Glycine contributes...
- A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 km/hr towards a tall building which reflects the...
- The wavelength of the first spectral line in the Balmer series of hydrogen atom is 6561 Å. The wavelength of the second spectral...
- A spherical metal shell A of radius R_A and a solid metal sphere B of radius R_B (< R_A) are kept far apart and each is given...
- An electron and a proton are moving on straight parallel paths with same velocity. They enter a semi-infinite region of uniform...
- A block is moving on an inclined plane making an angle 45^ with the horizontal and the coefficient of friction is μ. The force...
- Four point charges, each of +q, are rigidly fixed at the four corners of a square planar soap film of side 'a'. The surface...
- Steel wire of length 'L' at 40 °C is suspended from the ceiling and then a mass 'm' is hung from its free end. The wire is cooled...
- The activity of a freshly prepared radioactive sample is 10^ 10 disintegrations per second, whose mean life is 10^9 s. The mass...
- Four solid spheres each of diameter 5 cm and mass 0.5 kg are placed with their centers at the corners of a square of side 4 cm....
- Let (x_0, y_0) be the solution of the following equations (2x)^ 2 = (3y)^ 3 3^ x = 2^ y . Then x_0 is
- Let a = i + j + k, b = i - j + k and c = i - j - k be three vectors. A vector v in the plane of a and b, whose projection on c is...
- Let the straight line x = b divide the area enclosed by y = (1 - x)^2, y = 0, and x = 0 into two parts R_1 (0 x b) and R_2 (b x...
- Let α and β be the roots of x^2 - 6x - 2 = 0, with > . If a_n = ^n - ^n for n 1, then the value of a_ 10 - 2a_8 2a_9 is
- The vector(s) which is/are coplanar with vectors i + j + 2 k and i + 2 j + k, and perpendicular to the vector i + j + k is/are
- Let M and N be two 3×3 non-singular skew-symmetric matrices such that MN = NM. If P^T denotes the transpose of P, then M^2N^2...