List of top Questions asked in JEE Main

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 _____.

Sides of a triangle are AB = 9, BC = 7, AC = 8. Then cos 3C equals to

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

If the orthocentre of triangle formed by (8, 3), (5, 1) and (h, k) is (6, 1), then (h, k) lie on

\(\lim\limits_{n\rightarrow \infin}\frac{\sum(n^4-2n^3+n^2)}{\sum ((3n)^4+n^3-n^2)}\) is equal to

Let A = [1, 2, 3, 4, 5], m be the number of relations such as 4x ≤ 5y XRY and n be the minimum number of elements to be added from A × A to make a symmetric relation. Then the value of n + m.

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

The molarity of NaCl solution is 3 M. Calculate the morality of the solution. (Given density of the solution = 1.25 g/mL)

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-

Among the following anions, identify the anion which gives pale yellow precipitate with aq. AgNO₃. The precipitate is partially soluble in aq. NH₄OH solution.

IUPAC name of complex compound [Pt(Br)₂(PPh₃)₂].

Identify the product formed in the following reaction:

The correct expression for Bernoulli's theorem is (the symbols have their usual meaning)