List of top Questions asked in JEE Main

A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone will be?

The number of solution of the equation \(4sin^2 x-4cos^3 x+9-4cos x = 0\), \(x ∈ [-2\pi, 2\pi]\)

If the power of a light source is P and frequency of photons emitted is f. Find number photons emitted in time t.

Statement 1: Positive zero error is added in measured value.
Statement 2: Defect may occur during manufacturing of measuring instruments

For the block shown, \(F_1\) is the minimum force required to move block upward and \(F_2\) is the minimum force required to prevent it from slipping find \(| F_1 - F_2|\)

Two charges \(Q\) and \(3Q\) are kept in a line separated by a distance \(R\). Electric field is zero at a distance x from \(Q\). Find the value of \(x\).

In the meter bridge shown below, the null point is at 40 cm from A. If R is shunted by 22, find the distance of new balance point from A

If current in a conductor \(3t^2 + 4t^3\), charge = \(?\), flow \(t = 1\; to\; t = 2s\)

If \(f(x) = (x - 2)^2 (x - 3)^3\) and \(x ∈ [1, 4]\) and If \(M\) and \(m\) denotes maximum and minimum values respectively, then \(M - m\) is

Find equivalent resistance between A and B for a given circuit in ___ohms.

Determine Min. Energy released when an electron jumps to ground state in Balmer series from infinity.

Number of isomeric products formed by monochlorination Of \(2-methyl \) \(butane\) in presence of sunlight is

A compound \((x)\) with molar mass \(108\) \(g\) \(mol^{-1}\) undergoes acetylation to give product with molar mass \(192\) \(g\) \(mol^{-1}\)

Ethylene glycol of \(x\) \(kg\) is mixed with \(18.6\) \(kg\) of solvent, \(24 °C\) depression in freezing point takes place. Calculate value of \(x\). (Given: \(K_1\) = \(1.6 °C/molal\) M.W. of ethylene glycol = \(62\) \(g/mol\))

Statement-I : Aniline on reaction with concentrated \(H_2SO_4\) at 475 K gives p-amino benzene sulphonic acid. This gives blood red colour with Lassaigne’s test. 
Statement-II : Aniline forms a salt with anhydrus \(AlCl_3\) in Friedel Craft’s reaction.

A liquid drop of radius R is divided into 27 identical drops. If the surface tension of the drops is T, then find work done in this process.

Find minimum deviation in a thin prism if refractive index \(μ = cot\bigg(\frac{A}{2}\bigg)\). Here \(A\) represents the angle of prism.

A = {1, 2, 3, 4} , R = {(1, 2), (2, 3), (2, 4)} R ⊆ S and S is an equivalence relation then the minimum number of elements to be added to R is n, then the value of n is?

Determine ratio of de broglie wavelength of \(α- particle\) and proton of same kinetic energy is

A uniform disk of mass \(50\) \(kg\) is rolling without slipping with a speed of \(0.4 \;m/s\). Find minimum energy required to bring the disk to rest (in \(J\)).

Architect of Sydney Opera House?

An equation of a plane parallel to the plane \(x-2y+2z-5=0\) and at a unit distance from the origin is?

Given data \(60, 60, 44, 58, 68, α, β, 56\) has mean \(58\), variance = \(66.2\), then find \(α^2 + β^2\).

Find out sum of the coefficients of all the species involved in the balanced equation: \(2MnO_4+I^-\xrightarrow[{Medium}]{Alkaline}\)