List of top Questions asked in JEE Main

If a substance ‘A’ dissolves in a solution of a mixture of ‘B’ and ‘C’ with their respective number of moles as \(n_a\), \(n_b\), and \(n_c\), the mole fraction of C in the solution is:

The spin only magnetic moment of complex ion \([Ni(NH_3)_6]^{2+}\)+ is \(X \times 10^{-1}\) \(BM\). The value of \(X\) is

Which of the following solutions shows positive deviation from Raoult's law?

$\textbf{The orange colour of } \text{K}_2\text{Cr}_2\text{O}_7 \textbf{ and purple colour of KMnO}_4 \textbf{ is due to}$

Species having carbon with sextet of valence electron and acts as an electrophile is:

Find the rate constant for first order gaseous reaction: 
\(A(g)-------> B(g) + C(g)\)

If the system of linear equations \(x - 2y + z = -4\); \(2x + αy + 3z = 5\) and \(3x - y + βz = 3\) has infinitely many solutions then \(12α + 13β\) is equal to

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?

The solution of differential equation \(y\frac {dx}{dy}=x(log_e x-log_e y+1),\ x>0, y>0\) and passing through \((e,1)\) is

\(\lim\limits_{x→0} \frac {e^{|2sinx|}-2|sinx|-1}{x^2}\) is

If one of the diameters of the circle \(x^2+y^2-10x+4y+13=0\) is a chord of another circle and whose center is the point of intersection of the lines \(2x + 3y = 12\) and \(3x - 2y = 5 \) then the radius of the circle is

Sum of the series \(\frac {1}{1-3.1^2+1^4}+\frac {2}{1-3.2^2+2^4}+\frac {3}{1-3.3^2+3^4}\) upto \(10\) terms is _____ .

If \(f(x)=\frac {4x+3}{6x-4}\), \(x≠\frac 23 \)and \((fof)(x)=g(x)\), where \(g:R-[\frac 23→R→{\frac 23}]\). Then \((gogog)(4)\) is equal to

let \(S\) be the set of positive integral values of a for which \(\frac {ax^2+2(a+1)x+9a+4}{x^2+8x+32}< 0,\) \(∀x∈R\). Then, the number of elements in \(S\) is

If \(f(x)=\begin{vmatrix} x^3 & 2x^2+1 & 1+3x \\[0.3em] 3x^2+2 & 2x & x^3+6 \\[0.3em] x^3-x & 4 & x^2-2 \end{vmatrix}\)  for all \(x∈R\), then \(2f(0) + f'(0)\) is equal to

In the expansion of \((1 + x)(1 - x^2) (1 + \frac 3x + \frac {3}{x^2}+ \frac {1}{x^3})^5\) the sum of coefficients of \(x^3\) and \(x^{-13}\) is

In YDSE, intensity at two sources are in ratio of \(1: 9\). if source are incoherent then intensity at central point is \(I_1\), and if sources are coherent (and phase differs by \(60°\)) then intensity at central point is \(12\) then \(\frac{I_1}{I_2}\) is

In single electron \(atom/ion\), first member of Lyman series is \(λ\), then wavelength of second member of their series shall be

Two charges q and 3q are placed at a distance r from each other. Find the distance from q where the electric field is zero.

Force F depends on distance \(x\) and time \(t\) as \(F = ax^ 2 + bt\;\frac{1}{2}\) . Final dimension of \(\frac{b^2}{a}\) is

An artillery of mass \(M_1\), fires a shell of mass \(M_2\). At the time of firing the ratio of kinetic energy is.

The mass of sodium acetate (CH₃COONa) required to prepare 250 mL of 0.35 M aqueous solution is g. (Molar mass of CH₃COONa is 82.02 g/mol)

What is the group number of unununnium?

Aluminium chloride in acidified aqueous solution forms an ion having geometry: