List of top Questions asked in JEE Main

A ball initially at rest, breaks into two masses m1 and m2 that move with speed 11 and v2 respectively as shown. The ratio of the kinetic energy of the right mass to the left mass is:
A ball of mass 150 gm moving with speed 20m/s is catched in 0.1 sec. find the average force exerted by the hands.
In an electron and a proton are having the same kinetic energy, find the ratio of their linear momentum. (mass of electron = 9.1 x 10-31 kg, mass of proton = 1.67 × 10-27 kg)
For the given logic circuit, the correct relation between the input (A, B) and the output (Y) is
given logic circuit, the correct relation
The organ pipe having same length, one is open while the other is closed. Find ratio of 7th overtone of those organ pipes.
Two planets of mass m1 and m2 are revolving around their orbits r and r2 respectively. Angular momentum of planets are in ratio of 3 then T1/T2 is___
(T1 and T2 are periods of revolutions)
From a rectangular sheet, the shaded portion is removed. Find the co- ordinates of the center of mass after the portion has been removed.
a rectangular sheet, the shaded portion is removed
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 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.
The ratio of molar heat capacity at constant volume of one mole monoatomic gas to the one mole diatomic gas is given as a/b, where a and b are co-prime number, then find (a + b)
Consider following statements.
S1: IUPAC name is IUPAC name is 4-chloro-1,3-dinitrobenzene
S2: IUPAC name is IUPAC name is 2-methylaniline
Find among the spin only magnetic moment (nearest integer) of M in MO42-, M being the atom having least atomic radii among Sc, Ti, V, Cr, Mn, Zn.
A solution contains 100 g water and 10 g of AB2, The boiling of the solution was found to be 100.52% The degree of dissociation of AB2 is: 
[MW of AB = 200 gm/mol ; Kb = 0.52 Kkg/mol
Which of the following compounds will not give Hinsberg's test
Find the mass (in g) of O2 required for the combustion of 900 g of glucose.
Find out the magnitude of work done on the gas when 1 mole of an ideal gas undergoes compression from 9 liter to 1 liter through a reversible isothermal process. (in Joule) (Nearest integer)
For 82x - 16.8x + 48 = 0, the sum of values of x is equal to:
Let f(x) = cosx - x + 1, x ∈ [0,π], then
A=\(\begin{bmatrix}   2 & -1 \\   1 & 1  \end{bmatrix}\)if sum of diagonal elements of A13 is 3n then n equal to:
R = (a, b) : a + 5b = 42 and a, b ∈ N has m elements and \(\sum\limits_{n=1}^{m}(1+i^{n!})\) = x + iy (where i = √-1). Find x + y + m.
if \(y=\int\frac{e^{\tan x}dx}{\cos^2x(1+e^{2\tan x})}\) and y(0)=6 then y\(\frac{\pi}{4}\) is equal to
Let,\(f(\theta)=\frac{sin^4\theta+3cos^2\theta}{sin^4\theta+cos^2\theta},\)then range of f(θ) ∈ [a, b]. The sum of infinite G.P., where first term is 64 and common ratio is a/b is equal to:
3 blue balls and 4 yellow balls are in a box. 3 balls are drawn at random. Let variance and mean be X & Y respectively then value of 3X + 4Y is:
Figure shows two charges q1 and –q2 placed on the x-axis as shown. If electric field at p is along x-direction, find \(\frac{q_1}{q_2}\)
two charges q1 and –q2 placed on the x-axis
A disk of mass M, radius R is rotating about an axis passing through its centre and perpendicular to its plane with angular speed ω. If another disk of mass \(\frac{M}{2}\) and radius R is gently placed over it what will be their common angular velocity after some time?