JEE Advanced questions
3844 published questions with worked solutions.
- Two spherical bodies A (radius 6 cm) and B (radius 18 cm) are at temperatures T_1 and T_2, respectively. The maximum intensity in...
- When two progressive waves y_1 = 4 (2x - 6t) and y_2 = 3 (2x - 6t - 2 ) are superimposed, the amplitude of the resultant wave is
- A 0.1 kg mass is suspended from a wire of negligible mass. The length of the wire is 1m and its cross-sectional area is 4.9 10^...
- A binary star consists of two stars A (mass 2.2M_S) and B (mass 11M_S), where M_S is the mass of the sun. They are separated by...
- Gravitational acceleration on the surface of a planet is 6 11 g, where g is the gravitational acceleration on the surface of the...
- A piece of ice (heat capacity = 2100 J kg^ -1 ^ C^ -1 and latent heat = 3.36 10^5 J kg^ -1 ) of mass m grams is at -5^ at...
- A stationary source is emitting sound at a fixed frequency f_0, which is reflected by two cars approaching the source. The...
- Assuming that Hund's rule is violated, the bond order and magnetic nature of the diatomic molecule B_2 is
- Total number of geometrical isomers for the complex [RhCl(CO)(PPh_3)(NH_3)] is
- Among the following, the number of elements showing only one non-zero oxidation state is O, Cl, F, N, P, Sn, Tl, Na, Ti
- For r = 0, 1, , 10, let A_r, B_r and C_r denote, respectively, the coefficient of x^r in the expansions of (1+x)^ 10 , (1+x)^ 20...
- Let S = 1, 2, 3, 4 . The total number of unordered pairs of disjoint subsets of S is equal to
- Let f be a real-valued function defined on the interval (-1, 1) such that e^ -x f(x) = 2 + _0^x t^4 + 1 ,dt, for all x (-1, 1),...
- If the distance of the point P(1, -2, 1) from the plane x + 2y - 2z = , where > 0, is 5, then the foot of the perpendicular from...
- Two adjacent sides of a parallelogram ABCD are given by AB = 2 i + 10 j + 11 k and AD = - i + 2 j + 2 k. The side AD is rotated...
- A signal which can be green or red with probability 4 5 and 1 5 respectively, is received by station A and then transmitted to...
- Two parallel chords of a circle of radius 2 are at a distance 3 + 1 apart. If the chords subtend at the center, angles of k and 2...
- Consider a triangle ABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C respectively. Suppose...Not in JEE syllabus
- Let f be a function defined on R (the set of all real numbers) such that f'(x) = 2010(x - 2009)(x - 2010)^2(x - 2011)^3(x -...
- Let a_1, a_2, a_3, , a_ 11 be real numbers satisfying a_1 = 15, 27 - 2a_2 > 0 and a_k = 2a_ k-1 - a_ k-2 for k = 3, 4, , 11. If...