JEE Main questions
34568 published questions with worked solutions.
- Let y = y(x) be the solution of the differential equation (1 - x^2)dy = [xy + (x^3 + 2) 3(1 - x^2) ]dx, −1 < x < 1, y(0) = 0. If...
- Let α, β ∈ ℕ be roots of the equation x² – 70x + λ = 0. Where λ/2, λ/3 ∉ ℕ. If λ assumes the minimum possible value, then ( - 1 +...
- The mass of the moon is 1/144 times the mass of a planet and its diameter is 1/16 times the diameter of a planet. If the escape...
- A uniform magnetic field of 2 × 10⁻³ T acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current...
- Given below are two statements: Statement I : Electromagnetic waves carry energy as they travel through space and this energy is...
- A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T. Neglecting all vibrational modes, the total...
- In a photoelectric effect experiment a light of frequency 1.5 times the threshold frequency is made to fall on the surface of...
- When unpolarized light is incident at an angle of 60° on a transparent medium from air, the reflected ray is completely...
- The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is
- Consider two physical quantities A and B related to each other as E = B - x^2 At where E, x and t have dimensions of energy,...
- The measured value of the length of a simple pendulum is 20 cm with 2 mm accuracy. The time for 50 oscillations was measured to...
- The speed of sound in oxygen at S.T.P. will be approximately (given, R = 8.3 JK⁻¹, γ = 1.4)
- An AC voltage V = 20 sin 200πt is applied to a series LCR circuit which drives a current I = 10 sin(200πt + π/3). The average...
- The resistance per centimeter of a meter bridge wire is r, with X Ω resistance in left gap. Balancing length from left end is at...
- A small spherical ball of radius r, falling through a viscous medium of negligible density has terminal velocity 'v'. Another...
- Force between two point charges q₁ and q₂ placed in vacuum at 'r' cm apart is F. Force between them when placed in a medium...
- By what percentage will the illumination of the lamp decrease if the current drops by 20%?
- A body of mass 2 kg begins to move under the action of a time dependent force given by F = (6t i + 6t^2 j) N. The power developed...
- If two vectors A⃗ and B⃗ having equal magnitude R are inclined at an angle θ, then
- Two identical spheres each of mass 2 kg and radius 50 cm are fixed at the ends of a light rod so that the separation between the...