List of top Questions asked in JEE Main

Consider the given reaction:
Cr₂O₇^2- ⥨ CrO₄^2-
Above reaction shifts in forward direction in

A screw gauge with a pitch of 1 mm and a circular scale with 100 divisions is used to measure the thickness of the aluminium sheet. Negative zero error of 0.05 mm is there. What is the thickness of the sheet when main scale reading is 4 mm and 60th division coincides with the main scale line

A vernier caliper having least count \(\frac{1}{20N}\)cm and one main scale division is 1 mm, then value of one vernier scale division is

A wave is given by the equation y= Asin{ π(330t-x) },then frequency of the wave is

In a YDSE shown a monochromatic light of wavelength 500 nm is incident. At point P, 10th maxima is formed. Now the two slits are replaced with a single slit of width w placed at the centre. If first diffraction minima is observed at P, find w.

An object is projected such that its horizontal range and maximum height are same, then angle of projection is

Find ratio of magnetic field at point P to that at point Q. Point P is inside the solid cylinder and Q is outside the cylinder. Current is uniform through the crosssection of cylinder.

An electron and a proton has same de Broglie wavelength. If K_e and K_p are their respective kinetic energies, then

A physical quantity P depends on electric field (E) and permittivity of free space ( ε₀ ) as  P ∝ E ε₀², Find dimension of P

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?

Figure shows two charges q₁ and –q₂ placed on the x-axis as shown. If electric field at p is along x-direction, find \(\frac{q_1}{q_2}\)

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:

The area bounded by y = min{sin x, cos x} and x-axis in -π ≤ x ≤ π interval is equal to (in sq. units):

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

If C1: (x-α)² +(y-β)² =r₁², c₂: (x-6)²+ (y - 15/2)² = r₂² touches each other at (6, 6). If line joining centres of c₁ & C₂ is divided by (6, 6) in 2: 1 internally, then (α + β) + 4(r₁² +r₂²) is equal to:

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 K_eq 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 ; K_b = 0.52 Kkg/mol

Find among the spin only magnetic moment (nearest integer) of M in MO₄^2-, 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)