List of top Questions asked in JEE Main- 2026

In a YDSE experiment, a transparent slab of refractive index 1.4 is placed in front of one slit. The fringe pattern shifts by 0.3 cm on the screen.
Given:
Screen distance = 60 cm
Slit separation = 1.5 mm
Thickness of the slab (in 碌m) is:

For the given statements below, mark the correct option. Statement-I: Work done by a conservative force $ f $, from $ r_1 $ to $ r_2 $ is given by: \[ W = \int_{r_1}^{r_2} f \, dr. \] Statement-II: Work done by conservative force is path dependent.

Which of the following cannot be measured:

An experiment is performed for comparing EMF of two cells using a potentiometer. For 1st cell, balancing length was achieved at 200 cm and for 2nd cell it was 150 cm. If least count of measurement of length of potentiometer wire is 1cm, the percentage error in the ratio of emf of two cells is :

The ratio of speeds of electromagnetic waves in vacuum and a medium, having dielectric constant k = 3 and permeability of $\mu = 2\mu_0$, is ($\mu_0$ = permeability of vacuum)

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Consider a ferromagnetic material :
Assertion (A): The individual atoms in a ferromagnetic material possess a magnetic dipole moment and interact with one another in such a way that they spontaneously align themselves forming domains.
Reason (R): At high enough temperature, the domain structure of ferromagnetic material disintegrates. Thus, magnetization will disappear at high enough temperature known as Curie temperature.
In the light of the above statements, choose the correct answer from the options given below :

Given below are two statements:
Statement I: The first ionization enthalpy of Cr is lower than that of Mn.
Statement II: The second and third ionization enthalpies of Cr are higher than those of Mn.
In the light of the above statements, choose the correct answer from the options given below:

Given below are two statements: Statement I: A satellite is moving around earth in an orbit very close to the earth surface. The time period of revolution of satellite depends upon the density of earth.
Statement II: The time period of revolution of the satellite is \[ T = 2\pi \sqrt{\frac{R_e}{g}} \] (for satellite very close to the earth surface), where $R_e$ is the radius of earth and $g$ is acceleration due to gravity.
In the light of the above statements, choose the correct answer from the options given below.

A thin convex lens of focal length $ 5 $ cm and a thin concave lens of focal length $ 4 $ cm are combined together (without any gap), and this combination has magnification $ m_1 $ when an object is placed $ 10 $ cm before the convex lens.

Keeping the positions of the convex lens and the object undisturbed, a gap of $ 1 $ cm is introduced between the lenses by moving the concave lens away. This leads to a change in magnification of the total lens system to $ m_2 $.

The value of $ \dfrac{m_1}{m_2} $ is

Let $ \vec{a} = -\hat{i} + \hat{j} + 2\hat{k} $, $ \vec{b} = \hat{i} - \hat{j} - 3\hat{k} $, $ \vec{c} = \vec{a} \times \vec{b} $ and $ \vec{d} = \vec{c} \times \vec{a} $. Then $ (|\vec{a}|^2 - |\vec{b}|^2) \cdot \vec{d $ is equal to:}

For some $\alpha, \beta \in R$, let $A = \begin{pmatrix} \alpha & 2 \\1 & 2 \end{pmatrix}$ and $B = \begin{pmatrix} 1 & 1 \\ \beta & 1 \end{pmatrix}$ be such that $A^2-4A+2I-B^2-3B+I=O$. Then $(\det(\text{adj}(A^3-B^3)))^2$ is equal to:

The half-life of $^{65}$Zn is 245 days. After $x$ days, 75% of the original activity remained. The value of $x$ in days is __________ (Nearest integer).}
(Given: $\log 3 = 0.4771$ and $\log 2 = 0.3010$)

The hydrogen spectrum consists of several spectral lines in Lyman series (L$_1$, L$_2$, L$_3$ ...; L$_1$ has lowest energy among Lyman series). Similarly, it consists of several spectral lines in Balmer series (B$_1$, B$_2$, B$_3$ ...; B$_1$ has lowest energy among Balmer lines). The energy of L$_1$ is $x$ times the energy of B$_1$. The value of $x$ is ___ $\times 10^{-1}$. (Nearest integer)

A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone can complete the construction work in 24 days less than mason B alone. Then mason A alone will complete the construction work in :

Two positively charged particles $m_1$ and $m_2$ have been accelerated across the same potential difference of 200 keV. Given mass of $m_1 = 1 \,\text{amu}$ and $m_2 = 4 \,\text{amu}$. The de Broglie wavelength of $m_1$ will be $x$ times that of $m_2$. The value of $x$ is _______ (nearest integer).

Given below are two statements:
Statement I: The Henry’s law constant $ K_H $ is constant with respect to variations in solution concentration over the range for which the solution is ideally dilute.
Statement II: $ K_H $ does not differ for the same solute in different solvents.
In the light of the above statements, choose the correct answer from the options given below.

Given that \[ \vec a=2\hat i+\hat j-\hat k,\quad \vec b=\hat i+\hat j,\quad \vec c=\vec a\times\vec b, \] \[ |\vec d\times\vec c|=3,\quad \vec d\cdot\vec c=\frac{\pi}{4},\quad |\vec a-\vec d|=\sqrt{11}, \] find $\vec a\cdot\vec d$.

In the following $p\text{–}V$ diagram, the equation of state along the curved path is given by \[ (V-2)^2 = 4ap, \] where $a$ is a constant. The total work done in the closed path is:

The value of \[ \int_{-\pi/6}^{\pi/6} \left( \frac{\pi + 4x^{11}}{1 - \sin\left(|x| + \frac{\pi}{6}\right)} \right) dx \] is equal to

If $ g(x) = 3x^2 + 2x - 3 $, $ f(0) = -3 $ and $ 4g(f(x)) = 3x^2 - 32x + 72 $, then $ f(g(2)) $ is equal to:

A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol$^{-1}$) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is $____________ $\times 10^{-2}$. (nearest integer)
[Given : $K_{b}$ of the solvent = 5.0 K kg mol$^{-1}$]
Assume the solution to be dilute and no association or dissociation of X takes place in solution.

The wavelength of photon 'A' is 400 nm. The frequency of photon 'B' is $10^{16}\,\text{s}^{-1}$. The wave number of photon 'C' is $10^{5}\,\text{cm}^{-1}$. The correct order of energy of these photons is:

Given below are two statements: Statement I: The increasing order of boiling point of hydrogen halides is HCl<HBr<HI<HF. Statement II: The increasing order of melting point of hydrogen halides is HCl<HBr<HF<HI. In the light of the above statements, choose the correct answer from the options given below:

Inductance of a coil with $10^4$ turns is $10\,\text{mH}$ and it is connected to a DC source of $10\,\text{V}$ with internal resistance $10\,\Omega$. The energy density in the inductor when the current reaches $ \left(\frac{1}{e}\right) $ of its maximum value is \[ \alpha \pi \times \frac{1}{e^2}\ \text{J m}^{-3}. \] The value of $ \alpha $ is _________.
\[ (\mu_0 = 4\pi \times 10^{-7}\ \text{TmA}^{-1}) \]

Let $\vec{a} = -\hat{i} + 2\hat{j} + 2\hat{k}$, $\vec{b} = 8\hat{i} + 7\hat{j} - 3\hat{k}$ and $\vec{c}$ be a vector such that $\vec{a} \times \vec{c} = \vec{b}$. If $\vec{c} \cdot (\hat{i}+\hat{j}+\hat{k}) = 4$, then $|\vec{a}+\vec{c}|^2$ is equal to: