JEE Advanced 2026 · 17 May 2026 · Paper 1

Q1.Consider a large disk of radius R and two smaller disks, each of radius $\mathrm{r}=\mathrm{R}/50$, lying on its circumference, as shown in the figure. The smaller disks are initially in contact with each other, with an angular separation $\Delta \theta$ between their centers. …

Q2.Consider a circuit consisting of a capacitor of capacitance $C$ and a coil with $N$ turns per unit length, cross sectional area $S$ and length $d$, where $d^2\gg S$. There is another coil of length $d/2$, cross sectional area $S/2$ and $2N$ turns per unit length completel …

Q3.A solid cylinder of radius $R$ rolls without slipping with a center of mass speed $v_0=\sqrt{\frac{\mathrm{gR}}{3}}$ on a horizontal surface with a vertical edge, as shown in the figure. Here, $g$ is the acceleration due to the gravity. At the moment when the cylinder loses con …

Q4.A double convex lens made of glass of refractive index 1.5 and radii of curvature of the curved surfaces 20 cm each is immersed in a liquid of refractive index $n_{\mathrm{L}}$. The correct plot showing the variation of the power, in the units of diopter (D), as a function of …

Q5.Consider a hydrogen atom with ${\mathrm{v}}_{\mathrm{k}},{\mathrm{r}}_{\mathrm{k}}$ and ${\mathrm{K}}_{\mathrm{k}}$ denoting the velocity, orbital radius and kinetic energy of the electron in the $k^{\text{th }}$ orbit, respectively. The electron undergoes a transition from the …

Q6.A particle is thrown with a speed $v$ from a point $O$ at an angle $\theta$ with the horizontal plane such that it passes through the point $P$ at a height of 1 m and horizontal distance of 5 m from $O$, as shown in the figure. If acceleration due to gravity is …

Q7.A quasi-static cycle of a monoatomic ideal gas contains an isothermal process $(\mathbf{a}\mathbf{b})$, followed by an isochoric process $(\mathbf{b}\mathbf{c})$ and an adiabatic process $(\mathbf{c}\mathbf{a})$ as shown in the figure. The volumes of th …

Q8.The electric field associated with an electromagnetic wave travelling in vacuum is given by $E_0\sin (3y+4z+\omega t)\hat{i}$, where $\omega$ is the angular frequency. All quantities are in SI units. The correct statement(s) about this wave is/are:
[Given: speed of light in …

Q9.A tank contains two immiscible liquids of densities $6\rho$ and $2\rho$. The higher density liquid is filled up to a height $L/2$ from the bottom. A thin rod of density $\rho$ and length $L$ is fully immersed and hinged at the bottom so that it can oscillate freely, as shown …

Q10.As shown in the figure, five Carnot engines, each with efficiency $\eta$ and same number of cycles per unit time, are operating between six heat reservoirs. The amount of heat released per cycle by one engine is completely absorbed by the next engine. Consider ${\mathrm{Q}}_0$ to …

Q11.As shown in the figure, an insulated container is fitted with a thermally conducting but immovable partition $\left(P_1\right)$ and a freely movable but thermally insulated piston $\left(P_2\right)$. The partition $P_1$ with thermal conductivity $K$, cross sectional area A …

Q12.A hollow, right circular cone of base radius $R$ and height $h$, with its tip at the origin is rotating about the Z-axis with an angular velocity $\omega$, as shown in the figure. The cone carries a total charge Q uniformly distributed on its curved surface. The magnitude of magn …

Q13.List-I shows four configurations made of straight and semi-circular narrow tubes containing air. A sound wave of wavelength $\lambda =0.29\mathrm{m}$ enters these structures at the point $S$ and a sound detector is placed at $D$. Between the points $S$ and $D$, the sound travels …

Q14.In the List-I, four optical effects are mentioned. The physical phenomena of light which are essential to describe these optical effects are given in List-II. Choose the option which describes the correct match between the entries in List-I to those in List-II.

| List-I | | Lis …

Q15.List-I contains four conducting loops lying in the XY plane, as shown in the figures. The loops are rotating about Z axis passing through the point 0 with time period T in clockwise direction. The region $\mathrm{x}>0$ contains a uniform magnetic field B in the +z direction. List …

Q16.List-I shows four planar structures made of uniform solid rods each of mass $m$ and length $l$. In the List-II the possible moment of inertia of these structures about an axis ${\mathrm{OCO}}^{\prime }$, which lies in the plane of the structures, are given.
Choose the option that de …

Q1.An ideal gas (0.5 mol), initially at 2 bar pressure, is compressed at a constant temperature of 600 K in two steps : first against a constant external pressure of P bar $(2<\mathrm{P}<8)$, and then against constant external pressure of 8 bar. At each step, the compression is st …

Q2.For a reversible reaction $\mathbf{R}\rightleftharpoons \mathbf{P}$, at constant temperature, both the forward and the backward reactions are first order elementary reactions with rate constant $k_f$ and $k_b$, respectively. At time zero, the concentration of …

Q3.The correct order of dipole moments for the given species is

Q4.Considering ${\mathrm{LiBH}}_4$ reduces an ester group to the corresponding alcohol and does not reduce a carboxylic acid group, the correct statement about the major products P, Q R and S is

Q5.The 2s and the 2p orbital energies of hydrogen atom are ${\mathrm{E}}_{2\mathrm{s}}(\mathrm{H})$ and ${\mathrm{E}}_{2\mathrm{p}}(\mathrm{H})$, respectively. The 2s and the 2p orbital energies of lithium atom are ${\mathrm{E}}_{2\mathrm{s}}(\mathrm{Li})$ and …

Q6.Correct statement(s) about the compounds $\mathbf{X},\mathbf{Y}$ and $\mathbf{Z}$ is (are)
${\mathrm{MnO}}_2+$ Conc. $\mathrm{HCl}\to \mathbf{X}$ (greenish yellow gas)
${\mathrm{NH}}_3+\underset{(\text{ excess })}{\mathbf{X}}⟶\mathbf{Y}$ …

Q7.Reaction of ${\mathrm{PtF}}_6$ with oxygen $\left({\mathrm{O}}_2\right)$ gas results in the formation of an ionic compound, ${\mathbf{X}}^{+}{\mathbf{Y}}^{-}$.
Correct statement(s) is (are)

Q8.In the following reaction sequence Q, R, S and T are the major products.
The correct statement(s) about $\mathbf{Q},\mathbf{R},\mathbf{S}$ and $\mathbf{T}$ is (are)

Q9.The cylinders, both fitted with frictionless pistons, are filled with mixtures of He and Ar gases. In the first cylinder, the masses of He and Ar are $m_1$ and $m_2$, respectively. In the second cylinder, the masses of He and Ar are $m_2$ and $m_1$, respectively t …

Q10.The total number of all possible isomers for the square planar complex with formula $\mathrm{K}[\mathrm{M}(\mathrm{NCS})({\mathrm{NO}}_2)($ gly $)$] is ____
( $\mathrm{M}=$ metal ion and gly $={\mathrm{NH}}_2{\mathrm{CH}}_2{\mathrm{COO}}^{-}$)

Q11.The sum of total number of carbonyl groups $(>\mathrm{C}=\mathrm{O})$ present in the major products X and Y in the following reactions is ____.

Q12.Treatment of buta-1,3-diyne with ${\mathrm{NaNH}}_2$ (2 equivalents), followed by reaction with excess of trans- ${\mathrm{CH}}_3-\mathrm{CH}=\mathrm{CH}-{\mathrm{CH}}_2-\mathrm{Br}$ gives X as the major product. The maximum number of carbon atoms that are collinear (in a str …

Q13.List-I contains various physical/chemical processes, and List-II contains combinations of changes in enthalpy $(\Delta \mathrm{H})$ and entropy $(\Delta \mathrm{S})$. Match each entry in List-I to appropriate entry in List-II, and choose the correct option.

| List-I | | List …

Q14.Consider the following species :
${\mathrm{SOCl}}_2,{\mathrm{XeOF}}_4,{\mathrm{ClF}}_3,{\mathrm{ClF}}_5,{\mathrm{XeF}}_5^{+},{\mathrm{SO}}_3^{2-},{\mathrm{XeF}}_3^{+},{\mathrm{SF}}_4$
List-I contains different molecular shapes and List-II contains total number of species …

Q15.The List-II contains products obtained from the reaction of compounds in List-I with ${\mathrm{O}}_3/\mathrm{Zn}-{\mathrm{H}}_2\mathrm{O}$ followed by cyclization (via more stable enolate) in the presence of aqueous NaOH. Match each entry in List-I with appropriate entry in …

Q16.Match the major products obtained in the reactions given in List-I with the corresponding structures in List-II and choose the correct option.
| (P) | ![](https://bejtblexbccyzlkrwwoz.supabase.co/storage/v1/object/public/question-imag …

Q1.Consider the function $f:(0,\infty )\to (-\infty ,\infty )$ given by

Then which one of the following statements is TRUE ?

Q2.Let P be the point on the parabola $\mathrm{y}={\mathrm{x}}^2$ such that the slope of the tangent to the parabola at the point P is 4. Let Q be the point in the first quadrant lying on the circle ${\mathrm{x}}^2+{\mathrm{y}}^2=2$ such that the slope of the tangent to the circ …

Q3.Which one of the following matrices can be obtained by performing elementary row transformations on the $3\times 3$ identity matrix ?

Q4.Considering only the principal values of the inverse trigonometric functions, the value of ${\cot }^{-1}(\cot (-11))+10\sin \left(2{\cos }^{-1}\left(\frac{1}{\sqrt{2}}\right)\right)+10\sin \left(2{\tan }^{-1}(2)\right)$ is

Q5.Suppose that Box I contains 6 red balls and 9 green balls, and Box II contains 8 red balls and 12 green balls. All the balls of Box I and Box II are mixed together and a ball is chosen at random from them. Let ${\mathrm{E}}_1$ be the event that the ball chosen belonged to Box I …

Q6.Let P be the plane such that it contains the straight line $\frac{\mathrm{x}-1}{2}=\frac{\mathrm{y}-3}{3}=\frac{\mathrm{z}+2}{1}$ and is perpendicular to the plane $x+2y+3z=4$. Let $P_1$ be the plane which passes through the point $(4,2,2)$ and is parallel to $P$. T …

Q7.Let $\mathbb{R}$ denote the set of all real numbers. Let $f:\mathbb{R}\to \mathbb{R}$ be an arbitrary function and let $g:\mathbb{R}\to \mathbb{R}$ be the function defined by

Then which of the follo …

Q8.Consider the matrix

Let $\mathrm{p},\mathrm{q},\mathrm{r},\mathrm{s},\mathrm{a},\mathrm{b},\mathrm{c}$ and d be integers such that …

Q9.Let $\mathrm{S}=\{1,2,3,\dots ,10\}$. Consider the set
$\mathrm{X}=\{\mathrm{R}:\mathrm{R}$ is an equivalence relation on the set S such that R has exactly 42 elements $\}$.
Then the number of elements in X is ____.

Q10.Consider the function $f:\left(-\frac{\pi }{2},\frac{\pi }{2}\right)\to (-\infty ,\infty )$ defined by

where [x sin x] is the greatest integer less than or equal to x …

Q11.The number of ways to distribute 10 identical red pens and 14 identical blue pens among four persons such that each person gets 6 pens, is ____.

Q12.Let

Then …

Q13.Match each entry in List-I to the correct entry in List-II and choose the correct option.
| (P) If $\alpha$ and $\beta$ are the distinct roots of the equation ${\mathrm{x}}^2+\mathrm{x}+1=0$, then the quadratic equation with roots …

Q14.Match each entry in List-I to the correct entry in List-II and choose the correct option.
| (Q) …

Q15.For real numbers $\alpha ,\beta ,\gamma ,\delta$ and $\mu$, consider the matrix

Suppose that …

Q16.Match each entry in List-I to the correct entry in List-II and choose the correct option.
| …