List of top Questions asked in JEE Main

Let 4^1+x + 4^1-x, \(\frac{k}{2}\), 16^x + 16^-x are in A. P. then least value of k is____

\(\left( \frac{3^{\frac{1}{5}}}{x}+\frac{2x}{5^\frac{1}{3}} \right)^{12}\)Find which term is constant.

The 50^th word in the dictionary using the letters B, B, H, J, O is:

Find out E cell of the given cell M | M²⁺ | | x^2-|x.|
Eº_M²⁺_{I M} = 0.34 V
E°_x|x^2- = 0.46 V

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)

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 )

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?

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)

Find the longest wavelength of the Paschen series for hydrogen atom. (Rydberg constant = 10⁷ /m)

Find net kinetic energy (maximum possible) associated with 20 diatomic molecules (Here k_B is Boltzmann constant and T is absolute temperature of diatomic gas).

A convex lens has a focal length of f = 20 cm, R1 = 15 cm, R2 = 30 cm. The refractive index of the lens is \(\frac{x}{2}\) The value of x is _______ .

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.

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)

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 range of \(\frac{1}{7}-\sin5x\)

If α, ß are the roots of the equation x² - √2 x - 8 = 0 and A_n = αⁿ + ßⁿ, n ∈ N, then the value of (A₁₀ - √2A₉) / 2A₈

If ⁿ⁺¹C_r+1: ⁿC_r: ^n-1C_r-1 = 55: 35: 21 then the value of n + r is _____.

The locus of P such that the ratio of distance P from A(3, 1) and B(1, 2) is 5 : 4 is

The 315th word in dictionary arranged in order for the word ‘NAGPUR’ is

Product B is:

For a certain reaction, ΔH_r is 400 kJ/mol and ΔS=0.2 kJ/mol K. Above what minimum temperature in Kelvin, the reaction becomes spontaneous.

Find out the shortest wavelength of paschen series for H- atom

Which of the following d-block elements has maximum unpaired electron in ground state electronic configuration?

Match the column.

Column-I (Compounds)		Column-II (Configurations)
A.	TiCl4	(1)	e3t23
B.	FeO42-	(2)	e2t20
C.	FeCl42-	(3)	e2t23
D.	MnCl42-	(4)	e0t20

Which of the following statement is incorrect-