JEE Advanced questions
3844 published questions with worked solutions.
- 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 P = : - = 2 and Q = : + = 2 be two sets. ThenNot in JEE Main syllabus
- 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
- A straight line L through the point (3, -2) is inclined at an angle 60^ to the line 3 x + y = 1. If L also intersects the x-axis,...
- 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...
- Let the eccentricity of the hyperbola x^2 a^2 - y^2 b^2 = 1 be reciprocal to that of the ellipse x^2 + 4y^2 = 4. If the hyperbola...
- Let f : R R be a function such that f(x + y) = f(x) + f(y), x, y R . If f(x) is differentiable at x = 0, then
- Consider the parabola y^2 = 8x. Let _1 be the area of the triangle formed by the end points of its latus rectum and the point P (...
- Let a_1, a_2, a_3, , a_ 100 be an arithmetic progression with a_1 = 3 and S_p = _ i=1 ^ p a_i, 1 p 100. For any integer n with 1...