JEE Main questions
34495 published questions with worked solutions.
- If a curve y = f(x), passing through the point (1, 2), is the solution of the differential equation, 2x^2dy=(2xy+y^2)dx, then f (...
- Let S be the sum of the first 9 terms of the series: x+ka + x^2+(k+2)a + x^3+(k+4)a + x^4+(k+6)a + where a 0 and x 1. If S= x^ 10...
- The set of all possible values of in the interval (0, ) for which the points (1, 2) and ( , ) lie on the same side of the line x...
- If the variance of the terms in an increasing A.P., b_1, b_2, b_3,....b_ 11 is 90, then the common difference of this A.P....
- If y= _ k=1 ^ 6 k ^ -1 3 5 kx- 4 5 kx , then dy dx at x = 0 is ___________.
- Let the position vectors of points 'A' and 'B' be i + j + k and 2 i + j +3 k , respectively. A point 'P' divides the line segment...
- For a positive integer n, (1+ 1 x )^n is expanded in increasing powers of x. If three consecutive coefficients in this expansion...
- Let [t] denote the greatest integer less than or equal to t. Then the value of _1^2|2x-[3x]| ,dx is __________.
- A total of 48 J heat is given to one mole of helium kept in a cylinder. The temperature of helium increases by 2°C. The work done...
- In finding out refractive index of glass slab the following observations were made through travelling microscope: 50 vernier...
- In the given electromagnetic wave E_y = 600 sin(ωt − kx) Vm⁻¹, intensity of the associated light beam is (in W/m²): (Given ε₀ = 9...
- Assuming the earth to be a sphere of uniform mass density, a body weighed 300 N on the surface of earth. How much it would weigh...
- The acceptor level of a p-type semiconductor is 6 eV. The maximum wavelength of light which can create a hole would be: Given hc...Not in JEE Advanced syllabus
- A car of 800 kg is taking turn on a banked road of radius 300 m and angle of banking 30°. If coefficient of static friction is...
- Two identical conducting spheres P and S with charge Q on each, repel each other with a force 16N. A third identical uncharged...
- In a coil, the current changes from −2 A to +2A in 0.2 s and induces an emf of 0.1 V. The self inductance of the coil is:
- For the thin convex lens, the radii of curvature are at 15 cm and 30 cm respectively. The focal length of the lens is 20 cm. The...
- A body of weight 200 N is suspended from a tree branch through a chain of mass 10 kg. The branch pulls the chain by a force equal...
- When UV light of wavelength 300 nm is incident on the metal surface having work function 2.13 eV, electron emission takes place....
- When kinetic energy of a body becomes 36 times of its original value, the percentage increase in the momentum of the body will be: