List of top Questions asked in JEE Main

The locus of P such that the ratio of distance P from A(3, 1) and B(1, 2) is 5 : 4 is
Sides of a triangle are AB = 9, BC = 7, AC = 8. Then cos 3C equals to
If α, ß are the roots of the equation x2 - √2 x - 8 = 0 and An = αn + ßn, n ∈ N, then the value of (A10 - √2A9) / 2A8
If \(\int\frac{dx}{a^2\sin x+b^2\cos^2x}=\frac{1}{12}\tan^{-1}(3\tan x)+c,\)then the maximum value of a sinx + bcosx is____
Find the ratio of energy stored in the two given capacitor systems.
ratio of energy stored in the two given capacitor systems ratio of energy stored in the two given capacitor systems
A car of mass 800 kg is moving in a circular path of radius 300 m on a banked road with an angle 30°. Coefficient of friction between the car and road is 0.2. Find the maximum safe speed (to the nearest integer in m/s) with which the car can travel. (Take √3 = 1.7)
For a device, power consumed = 110 W and voltage supplied is 220 V. The number of electrons that flow in 1 is \(\frac{x}{4}\) × 1017 . Find x.
Find net kinetic energy (maximum possible) associated with 20 diatomic molecules (Here kB is Boltzmann constant and T is absolute temperature of diatomic gas).
An ammeter consisting of 240 Ω galvanometer and 10 Ω shunt resistance is connected in circuit as shown. Reading of ammeter is
An ammeter consisting of 240 Ω galvanometer
Find the longest wavelength of the Paschen series for hydrogen atom. (Rydberg constant = 107 /m)
The weight of an object measured on the surface of earth is 300 N. What will be the weight of the same object at depth R/4 inside the earth? (Given R = Radius of earth)
A ball is projected vertically upwards from a building. The time taken to reach ground is T1. Another ball is projected downwards from the same building, with the same speed. The time taken to reach ground is T2. If a third ball is released from the same building, the time taken to reach the ground is
A tree branch holds a weight of 200 N by a uniform chain of mass 10 kg. The force applied by branch to hold this weight is ______ (Take g = 10 m/s2 )
There are two fixed charged spheres P and Q repelling each other with a force of 16 N. A third neutral sphere is placed between the charged spheres. The new force between the spheres is _________ (assuming all the spheres are insulating)
Which of the following statement is INCORRECT
A metallic rod of length 4 m is rotating about perpendicular bisector of the rod with angular velocity of 2 rad/s in presence of transverse magnetic field of 0.5 T. Potential difference developed across ends of rod is
Instantaneous current in a circuit is \(i(t)=[6+\sqrt54sin(2\pi + \pi/3)]\) A RMS value of current is
The number of real solution x|x + 5| + 2|x + 7| - 2 = 0 is
How many of the following have zero dipole moment $H_2S, CH_4, NH_3, BF_3, SO_2, NF_3$
In an atom, how many electrons can have
(i) n = 4 (ii) m1 =1 (iii) ms = ½
Which of the following molecule is an acidic oxide?
Equanil drug is used for which disease?
Shortest wavelength in Lyman series has wavelength of 915 À. Longest wavelength of Balmer series has a value of ?
A truck is moving from rest with constant power P. if the displacement of the truck is proportional to t", where t is time, find n.
A block of mass 50 kg is moving with speed of 10 m/s on a rough horizontal surface (friction coefficient of 0.3). Find the kinetic friction acting on the object.