JEE Main questions
34495 published questions with worked solutions.
- Let N denote the set of all natural numbers. Define two binary relations on N as R_1 = (x, y) N N : 2x + y = 10 and R_2 = (x, y)...
- The sum of the first 20 terms of the series 1 + 3 2 + 7 4 + 15 8 + 31 16 + is ?
- If the length of the latus rectum of an ellipse is 4 units and the distance between a focus and its nearest vertex on the major...
- Two different families A and B are blessed with equal number of children. There are 3 tickets to be distributed amongst the...
- If x 1 + x + ^2 x ,dx = x - K A ^ -1 ( K x + 1 A ) + C, (C is a constant of integration), then the ordered pair (K, A) is equal...
- A thin circular plate of mass M and radius R has its density varying as (r) = _0 r with _0 as constant and r is the distance from...
- A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the potential...
- An alternating voltage V(t) = 220 100 t volt is applied to a purely resistive load of 50 Ω. The time taken for the current to...
- A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a...
- Two particles move at right angle to each other. Their de-Broglie wavelengths are _1 and _2 respectively. The particles suffer...
- In SI units, the dimensions of _0 _0 is:
- In an interference experiment the ratio of amplitudes of coherent waves is a_1 a_2 = 1 3 . The ratio of maximum and minimum...
- A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from a ceiling. Given that g = 3.1π ms^ -2 , what...
- Water from a pipe is coming at a rate of 100 liters per minute. If the radius of the pipe is 5 cm, the Reynolds number for the...
- The bob of a simple pendulum has mass 2 g and a charge of 5.0 μC. It is at rest in a uniform horizontal electric field of...
- An upright object is placed at a distance of 40 cm in front of a convergent lens of focal length 20 cm. A convergent mirror of...
- A thermally insulated vessel contains 150 g of water at 0°C. Then the air from the vessel is pumped out adiabatically. A fraction...
- Ship A is sailing towards north-east with velocity v = 30 i + 50 j km/hr where i points east and j, north. Ship B is at a...
- A boy's catapult is made of rubber cord which is 42 cm long, with 6 mm diameter of cross-section and of negligible mass. The boy...
- Voltage rating of a parallel plate capacitor is 500 V. Its dielectric can withstand a maximum electric field of 10^ 6 V/m. The...