List of top Questions asked in JEE Main

Let f(x) = cosx - x + 1, x ∈ [0,π], then
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)
Find the mass (in g) of O2 required for the combustion of 900 g of glucose.
Which of the following compounds will not give Hinsberg's test
X ⇌ Y;K1 = 1
Y ⇌ Z; K2 = 2
Z ⇌ W; K3 = 4
Find Keq for X ⇌ W
CoCl3.xNH3 on reaction with excess AgNO3(aq.) gives two moles of AgCl as precipitate.
Summation of oxidation state of Co in CoCl3.xNH3 and x is:
Statement-I : Stability of +1 oxidation state increases as Ga< In < Tl
Statement-II : Stability of +1 oxidation state increases down the group due to inert pair effect.
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
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.
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)
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