List of top Questions asked in JEE Main

A flask contains Hydrogen and Argon in the ratio 2:1 by mass. The temperature of the mixture is 30°C. The ratio of average kinetic energy per molecule of the two gases (K argon/K hydrogen) is:
(Given: Atomic Weight of Ar = 39.9)

ClF5 at room temperature is:

The osmotic pressure of solutions of PVC in cyclohexanone at $300 K$ are plotted on the graph The molar mass of $PVC$ is ____$g \,mol ^{-1}$ (Nearest integer)

( Given : R = 0.083 L atm K^-1 mol^-1 )

In the following given reaction, ' $A$ ' is

For, α, β, γ, δ ∈ $\mathbb{N},$ if $∫\left((\frac{x}{e})^{2x}+(\frac{e}{x})^{2x}\right)log_e\,xdx=$ $\frac{1}{\alpha}(\frac{x}{e})^{βx}-\frac{1}{γ}(\frac{e}{x})^{δx}+c,$ Where $e=\displaystyle\sum_{n=10}^{∞}\frac{1}{n!}$ and C is constant of integration, then α + 2β + 3γ - 4δ is equal to

If the point $(α ,\frac{7√3}{3}) $lies on the curve traced by the mid-points of the line segments of the lines x cosθ + y sinθ = 7, θ ∈ (0 , $\frac{π}{2}$ ) between the coordinates axes, then α is equal to

Let $\vec{a}=5 \hat{i}-\hat{j}-3 \hat{k}$ and $\vec{b}=\hat{i}+3 \hat{j}+5 \hat{k}$ be two vectors Then which one of the following statements is TRUE ?

The number of points of non-differentiability of the function f(x) = [4 + 13sinx] in (0, 2𝜋) is ____.

A simple pendulum with length 100 cm and bob of mass 250 g is executing S.H.M. of amplitude 10cm. The maximum tension in the string is found to be $\frac{x}{40}$ N. The value of x is___.

The remainder when $(2023)^{2023}$ is divided by $35$ is _____

As shown in the figure a block of mass $10\, kg$ lying on a horizontal surface is pulled by a force $F$acting at an angle $30^{\circ}$, with horizontal For $\mu_{ s }=0.25$, the block will just start to move for the value of $F$ : [Given g=10ms^-2]

The root mean square speed of molecules of nitrogen gas at 27°C is approximately : (Given mass of a nitrogen molecule = $4.6 × 10^{–26}$ kg and take Boltzmann constant KB = $1.4 × 10^{–23}$ JK–1 )

The coefficient of $x^{301}$ in $(1+x)^{500}+x(1+x)^{499}+x^2(1+x)^{498}+\ldots \ldots +x^{500}$ is :

Let D_k=$\begin{vmatrix} 1 & 2k & 2k-1\\ n & n^2+n+2 & n^2 \\ n & n^2+n & n^2+n+2 \end{vmatrix} $ If $∑^n_{k=1} D_k=96,$ The n is equal to

The one giving maximum number of isomeric alkenes on dehydrohalogenation reaction is
(excluding rearrangement)

A compound A on reaction with X and Y produces the same major product but different by product a and b Oxidation of a gives a substance produced by ants X and Y respectively are :

Arrange the following compounds in increasing order of rate of aromatic electrophilic substitution reaction:

If $A(1, 1, 1), B(0, λ, 0), C(λ + 1, 0, 1), D(2, -2, 2)$ are co-planer then $\sum (\lambda_i + 2)^2$ is equal to

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion (A) : Benzene is more stable than hypothetical cyclohexatriene
Reason (R) : The delocalised π-electrons cloud is attracted more strongly by the nuclei of the carbon atoms than the electron cloud localised between two carbon atoms.
In the light of the above statements, choose the correct answer from the options given below

The integral $\int \left(\frac{x}{2}\right)^x + \left(\frac{2}{x}\right)^x \log x \, dx$ is equal to:

A small block of mass 100 g is tied to a spring of spring constant 7.5 N/m and length 20 cm. The other end of spring is fixed at a particular point A. If the block moves in a circular path on a smooth horizontal surface with constant angular velocity 5 rad/s about point A, then tension in the spring is-

Let the line L pass through the point (0, 1, 2), intersect the line $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and be parallel to the plane 2x + y – 3z = 4. Then the distance of the point P(l, –9, 2) from the line L is

Let [t] denote the greatest integer ≤t. Then $\frac{2}{π} \int\limits_{\frac{\pi}{6}}^{\frac{5\pi}{6}} (8 [cosec x]-5[cot x]) dx$is equal to ______.

The amplitude of a particle executing SHM is $3 \,cm$ The displacement at which its kinetic energy will be $25 \%$ more than the potential energy is:_______ $cm$

The points of intersection of the line $a x+b y=0,(a \neq b)$ and the circle $x^2+y^2-2 x=0$ are $A (\alpha, 0)$ and $B (1, \beta)$ The image of the circle with $AB$ as a diameter in the line $x+y+2=0$ is :