JEE Main questions
34495 published questions with worked solutions.
- Let f: R → R be a continuously differentiable function such that f(2) = 6 and f'(2) = 1 48 . If _6^ f(x) 4t^3dt = (x - 2)g(x),...
- The value of ^ -1 ( 12 13 ) - ^ -1 ( 35 ) is equal to:
- If the volume of parallelopiped formed by the vectors i + j + k, j + k and i + k is minimum, then λ is equal to:
- If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these...
- If the line x-2 3 = y+1 2 = z-1 -1 intersects the plane 2x + 3y − z + 13 = 0 at a point P and the plane 3x + y + 4z = 16 at a...
- An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature 300 K. The mean time between two successive...
- A galvanometer, whose resistance is 50 ohm, has 25 divisions in it. When a current of 4 10^ -4 A passes through it, its needle...
- Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of...
- Let ℓ, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension of rcv in SI units will...
- A simple harmonic motion is represented by: y = 5( 3 t + 3 3 t) cm. The amplitude and time period of the motion are:
- A plano-convex lens (focal length f_2, refractive index _2, radius of curvature R) fits exactly into a plano-concave lens (focal...
- In a Frank-Hertz experiment, an electron of energy 5.6 eV passes through mercury vapour and emerges with an energy 0.7 eV. The...
- A load of mass M kg is suspended from a steel wire of length 2 m and radius 1.0 mm in Searle's apparatus experiment. The increase...
- A parallel plate capacitor with plates of area 1 m^2 each, are at a separation of 0.1 m. If the electric field between the plates...
- A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. The piston...
- An alpha-particle of mass m suffers 1-dimensional elastic collision with a nucleus at rest of unknown mass. It is scattered...
- A resonance tube is old and has jagged end. It is still used in the laboratory to determine velocity of sound in air. A tuning...
- A 10 m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0 ms^ -1 , at right angles to...
- A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises...
- In a radioactive decay chain, the initial nucleus is ^ 232 _ 90 Th. At the end there are 6 α-particles and 4 β-particles which...