List of top Questions asked in JEE Main

In a diffraction pattern of a monochromatic light of wavelength 6000 pm, the slit width is 3 mm. If the angular position of 2nd minima is N x 10-6 rad, find N.
Three particles having different masses have the same momentum. Find the ratio of their kinetic energy. (m1 = 400 gm,m2 = 1.2 kg,m3 = 1.6 kg)
The diameter of a sphere having mass 8.635 gm is measured by a vernier scale. 10 divisions of vernier scale coincide with 9 divisions of main scale and main scale division is 1 mm. If the reading of the main scale is 2 cm & 2nd division of vernier coincide with a main scale division, the density of the sphere is
A solenoid of 10 turns cross section area 36 cm2 and of resistance 10 mΩ is placed in a magnetic field which is varying at a constant rate of 0.5 T/sec. Find power of heat dissipation.
An electromagnetic radiation of intensity 360 W /cm2 is incident normally on a non-reflecting surface having area A. Average force on the surface is found to be 2.4 x 10-4 N. Find the value of A.
In a series LCR Circuit, the value of resistance as well as (XL - XC) is halved, then the new current amplitude (I2) will satisfy: (I1 is old current amplitude)
The correct expression for Bernoulli's theorem is (the symbols have their usual meaning)
\(\lim\limits_{n\rightarrow \infin}\frac{\sum(n^4-2n^3+n^2)}{\sum ((3n)^4+n^3-n^2)}\) is equal to
If the orthocentre of triangle formed by (8, 3), (5, 1) and (h, k) is (6, 1), then (h, k) lie on
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
Find the range of \(\frac{1}{7}-\sin5x\)
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
If the kinetic energy of a block of mass m becomes 36 times by keeping its mass constant, by what percentage will the momentum increase?
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)