List of top Questions asked in JEE Main- 2026

If \[ \int_{0}^{x} t^2 \sin(x - t)\,dt = x^2, \] then the sum of values of \( x \), where \( x \in [0,100] \), is:
Find the area bounded by the curves \[ x^2 + y^2 = 4 \quad \text{and} \quad x^2 + (y-2)^2 = 4. \]
Which of the following are isobars?
For given reaction $X_2(g) + Y_2(g) \rightleftharpoons 2Z (g)$. Moles of $X_2, Y_2 & Z$ are at equilibrium are $3 \text{ mole}, 3 \text{ mole} & 9 \text{ mole}$ respectively. If $10 \text{ moles}$ of $Z$ are added at constant $T$ then find moles of $Z$ at re-established equilibrium.
$K_2Cr_2O_7 + KI \xrightarrow{H^+} I_2 + Cr^{3+}$
Statement-I : Size of $O^{2-}$ is smaller than $F^-$.
Statement-II: Second ionization energy of $\text{Na}$ is greater than second ionization energy of $\text{Mg}$.
Two beads P & Q move along two wires straight and semi circle. At some instant both are shown in figure having same horizontal component of velocity V. Find relation of time taken to reach A by beads :
A parachutist jumps from a helicopter. It falls freely for 2 sec. Then he opens parachute which produces retardation of 3 m/s\(^2\). When his height from ground is 10 m his velocity is 5 m/s. Find his initial height from ground.
A metallic sphere of diameter 2mm and density 10.5 g/cc is dropped in glycerine having viscosity 10 poise and density 1.5 g/cc. The terminal velocity attained by sphere is ______ cm/s. [\(\pi = \frac{22}{7}, g = 10 \text{ m/s}^2\)]
. Number of different $\text{H}$-atoms in $(\text{Y})$
$0.245 \text{ gm}$ of an unknown organic compound gave $0.5453 \text{ gm}$ of $\text{AgCl}$ through Carious method. Calculate $%$ of $\text{Cl}$ in unknown compound.
Identify (A)
Consider the following carbocations: (A) $\text{CH}_3\text{C}^+\text{H}_2 \rightarrow \text{B} \rightarrow \text{CH}_3-\text{C}^+\text{H}-\text{CH}_3 \rightarrow \text{C} \rightarrow (\text{CH}_3)_3\text{C}^+$. Statement-I : B is more stable due to $9\alpha H$. Statement-II: A is less stable due to $3\alpha H$.
On two metal surfaces, a monochromatic light of $6 \text{ eV}$ was incident. They have ratio of their work function and maximum KE as $\frac{\Phi_1}{\Phi_2} = \frac{1}{2}$ and $\frac{(KE_{\max})_1}{(KE_{\max})_2} = \frac{2.62}{1}$. Then $\Phi_1$ and $\Phi_2$ values are respectively (in $\text{eV}$).
In phosphorus estimation, \(0.60\,\text{g}\) of an organic compound gives \(0.93\,\text{g}\) of \( \mathrm{Mg_2P_2O_7} \). Calculate the percentage of phosphorus (nearest integer).
Determine the largest value of \( n \) for which \[ 2^{n} \mid (75)! \]
An \( \alpha \)-particle of energy \(8\,\text{MeV}\) is directed towards a fixed copper nucleus \((Z = 29)\). Calculate the distance of closest approach.
Radiation containing frequencies \(6 \times 10^{14}\,\text{Hz}\) and \(9 \times 10^{14}\,\text{Hz}\) falls on a metal surface with work function \(2.5\,\text{eV}\). Calculate the maximum energy of emitted electrons (in eV).
A closed tube filled with ideal gas is rotating with angular speed \(\omega\) about an axis passing through end \(A\). Find the pressure at the other end \(B\). (\(M\) is the molar mass of the gas, \(\ell\) is the length of the tube and \(T\) is the temperature of the gas.) Given pressure at \(A\) is \(P_A\).
The number of real solution of equation x$|$x+4$|$+3$|$x+2$|$+10=0 is/are :
Find the moment of inertia about the given axis. Two solid spheres are arranged as shown. Given: \[ m_1 = 10\,\text{kg},\; R_1 = 20\,\text{cm}; \qquad m_2 = 5\,\text{kg},\; R_2 = 10\,\text{cm} \]
Match the columns:
Choose the correct option.
If 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 photosensitive material having work function $2.8$ eV. Find the maximum energy (in eV) of ejected electrons.
In the figure the LED will glow for input \(A,B,C,D\) (\(0\) is low potential and \(1\) is high potential).
The energy required to excite an electron from the first Bohr orbit of a hydrogen atom to the second Bohr orbit is:
A photon is incident on a particle having mass \(m = 15.356\,\text{amu}\). What should be the frequency of the photon so that the particle of mass \(m\) breaks into four \(\alpha\)-particles? (Given: \(m_\alpha = 4.004\,\text{amu}\); \(h = 6.6\times10^{-34}\,\text{J s}\))