List of top Questions asked in JEE Main- 2026

A particle is projected at an angle of \(60^\circ\) with the ground. When the projectile makes an angle \(45^\circ\) with the horizontal, its speed becomes \(20\,\text{m s}^{-1}\). Then the initial velocity is:
An \( \alpha \)-particle having kinetic energy 7.7 MeV is approaching a fixed gold nucleus (atomic number is 79). Find the distance of closest approach.
An ideal solenoid is kept with its axis vertical. Current \( I_0 \) is flowing in the solenoid. A charge \( Q \) is thrown downward inside the solenoid. If acceleration of the charge particle is \( a \), then
Two rods of equal length 60 cm each are joined together end to end. Coefficient of linear expansions of the rods are \( 24 \times 10^{-6} \, \text{°C}^{-1} \) and \( 1.2 \times 10^{-5} \, \text{°C}^{-1} \). Their temperatures are the same and equal to \( 30^\circ \text{C} \), which is increased to \( 100^\circ \text{C} \). Find final length of the combination (in cm).
If the electric field of EM wave is given by \( 60 \sin(3 \times 10^{14}t) + \sin(12 \times 10^{14}t) \) at \( x = 0 \) falls on a photo sensitive material having work function 2.8 eV. Find the maximum kinetic energy (in eV) of ejected electrons.
Find the moment of inertia of the system formed using two identical rods about the given axis of rotation as shown.
Which logic gate is given in the figure?
A rod of mass \(m\) and length \(l\) is attached to two ideal strings. Find tension in the left string just after the right string is cut.
There are two springs of spring constants \( k_1 = (20 \pm 0.2) \, \text{N/m \) and \( k_2 = (30 \pm 0.3) \, \text{N/m} \). If they are connected in parallel, then the percentage error in the equivalent spring constant of the combination is ........... %.}
A particle of mass 1 kg, initially resting at origin, starts moving under the influence of a force \( \mathbf{F} = 4t^3 \hat{i} - 3t^2 \hat{j} \). If the speed of the particle at \( t = 1 \) is \( \sqrt{2} \), then the value of \( \alpha \) is
Which of the following is the correct order with respect to the property indicated?
If \( a_1 = 1 \) and for \( n \geq 1 \), \[ a_{n+1} = \frac{1}{2} a_n + \frac{n^2 - 2n - 1}{n^2 (n+1)^2} \] then \[ \left| \sum_{n=1}^{\infty} \left( a_n - \frac{2}{n^2} \right) \right| \] is equal to
The value of \[ \int_{-\frac{\pi}{6}}^{\frac{\pi}{6}} \frac{\pi + 4x^{11}}{1 - \sin\left( \left| x \right| + \frac{\pi}{6} \right)} dx \] is
1 g of AB₂ is dissolved in 50 g solvent such that \(\Delta T_f = 0.689\). When 1 g AB is dissolved in 50 g of same solvent, \(\Delta T_f = 1.176\). Find molar mass of AB₂. \(K_f = 5 \, \text{kg/mol}\). AB₂ and AB are non-electrolytes. (Report to nearest integer)
If \( A = \left[ \begin{array}{cc} \alpha & 2 \\ 1 & 2 \end{array} \right] \), \( B = \left[ \begin{array}{cc} 1 & 1 \\ 1 & 1 \end{array} \right] \) and \( A^2 - 4A + 2I = 0, B^2 - 2B + I = 0 \), then \( \text{adj}(A^3 - B^3) \) is equal to
Area enclosed by \[ x^2 + 4y^2 \leq 4, \quad |x| \leq 1, \quad y \geq 1 - |x| \text{ is} \]
The value of \[ \int_0^{\frac{\pi}{2}} \left( \sin x + \sin 2x + \sin 3x \right) dx \] is
If \( x^2 + x + 1 = 0 \), then \[ \left( x + \frac{1}{x} \right)^4 + \left( x^2 + \frac{1}{x^2} \right)^4 + \left( x^3 + \frac{1}{x^3} \right)^4 + \dots + \left( x^{25} + \frac{1}{x^{25}} \right)^4 \] is
Consider the following statements:
(A) Propanal and Propanone are functional isomers.
(B) Ethoxyethane and methoxypropane are metameres.
(C) But-2-ene shows optical isomerism.
(D) But-1-ene and But-2-ene are functional isomers.
(E) Pentane and 2, 2-dimethylpropane are chain isomers.
In the light of the above statements, choose the correct option.
Given below are two statements:
Statement I: When electric discharge is put on hydrogen, it emits discrete frequency in the electromagnetic spectrum.
Statement II: Frequency of He\(^+\) ion of 2\(^\text{nd}\) line of Balmer series is equal to first line of Lyman series.
In the light of the above statements, choose the correct option.
C₆H₁₂O₃ gives positive iodoform test on hydrolysis with dil. Acid. The hydrolysis product formed gives Tollens’ and iodoform test both. Find structure of C₆H₁₂O₃.
Consider the following reaction:
\[ \text{Ca} + 2\text{HCl} \rightarrow \text{CaCl}_2 + \text{H}_2 \]
\text{We have 14 g Ca reacts with excess of HCl. Choose the incorrect option.}
Let $5000<N<9000$ and $N$ has digits from the set $\{0,1,2,5,9\}$. If digits can be repeated, then find the number of such numbers $N$ which are divisible by $3$.
If $A=\{1,2,3,4\}$. A relation from set $A$ to $A$ is defined as $(a,b)\,R\,(c,d)$ such that $2a+3b=3c+4d$. Find the number of elements in the relation.
$2.8 \times 10^{-3}$ mol of CO$_2$ is left after removing $10^{21}$ molecules from its $x$ mg sample. The mass of CO$_2$ taken initially is: Given: $N_A = 6.02 \times 10^{23}\,\text{mol}^{-1}$