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JEE Advanced2026Paper 1

JEE Advanced 2026 — Paper 1

48 questions with step-by-step solutions. All free.

PHY-I

  1. Q1 Consider a large disk of radius R and two smaller disks, each of radius , lying on its circumference, as shown in the figure. The smaller disks are initially in contact with each other, with an angular separation between their centers. They are made to roll without slipping in opposite directions, wit…
  2. Q2 Consider a circuit consisting of a capacitor of capacitance and a coil with turns per unit length, cross sectional area and length , where
  3. Q3 A solid cylinder of radius rolls without slipping with a center of mass speed
  4. Q4 A double convex lens made of glass of refractive index and radii of curvature of the curved surfaces cm each is immersed in a liquid of refractive index

PHY-II

  1. Q1 Consider a hydrogen atom with ,
  2. Q2 A particle is thrown with a speed from a point at an angle with the horizontal plane such that it passes through the point at a height of
  3. Q3 A quasi-static cycle of a monoatomic ideal gas contains an isothermal process (), followed by an isochoric process () and an adiabatic process () as shown in the figure. The volumes of the gas are
  4. Q4 The electric field associated with an electromagnetic wave travelling in vacuum is given by

PHY-III

  1. Q1 A tank contains two immiscible liquids of densities and . The higher density liquid is filled up to a height from the bottom. A thin rod of density and length …
  2. Q2 As shown in the figure, five Carnot engines, each with efficiency 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
  3. Q3 As shown in the figure, an insulated container is fitted with a thermally conducting but immovable partition () and a freely movable but thermally insulated piston (
  4. Q4 A hollow, right circular cone of base radius and height , with its tip at the origin is rotating about the Z-axis with an angular velocity , as shown in the figure. The cone carries a total charge uniformly distributed on its curved surface. The magnitud…

PHY-IV

  1. Q1 List-I shows four configurations made of straight and semi-circular narrow tubes containing air. A sound wave of wavelength m enters these structures at the point and a sound detector is placed at . Betw…
  2. Q2 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. …
  3. Q3 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 contains a uniform magnetic field B in the +z direction. List-II contains the qualitative variation of the induced current
  4. Q4 List-I shows four planar structures made of uniform solid rods each of mass and length . In the List-II the possible moment of inertia of these structures about an axis OCO', which lies in the plane of the structures, are given. Choose the option that describes the correct match between the entries in List-I to those in List-II. …

CHEM-I

  1. Q1 An ideal gas ( mol), initially at bar pressure, is compressed at a constant temperature of K in two steps : first against a constant external pressure of bar (
  2. Q2 For a reversible reaction , at constant temperature, both the forward and the backward reactions are first order elementary reaction with rate constant
  3. Q3The correct order of dipole moments for the given species is
  4. Q4 Considering LiBH reduces an ester group to the corresponding alcohol and does not reduce a carboxylic acid group, the correct statement about the major products ,

CHEM-II

  1. Q1 The 2s and the 2p orbital energies of hydrogen atom are and
  2. Q2 Correct statement(s) about the compounds , and is (are)
  3. Q3Reaction of PtF with oxygen (O) gas results in the formation of an ionic compound, . Correct statement(s) is (are)
  4. Q4In the following reaction sequence , , and are the major products. The correct statement(s) about , , and is (are)

CHEM-III

  1. Q1 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 and
  2. Q2 The total number of all possible isomers for the square planar complex with formula K[M(NCS)(NO)(gly)] is _____ ( = metal ion and gly
  3. Q3The sum of total number of carbonyl groups (>C=O) present in the major products and in the following reactions is _____.
  4. Q4 Treatment of buta-1,3-diyne with NaNH (2 equivalents), followed by reaction with excess of trans-CH

CHEM-IV

  1. Q1 List-I contains various physical/chemical processes, and List-II contains combinations of changes in enthalpy (H) and entropy (S). Match each entry in List-I to appropriate entry in List-II, and choose the correct option. …
  2. Q2 Consider the following species : SOCl, XeOF
  3. Q3 The List-II contains products obtained from the reaction of compounds in List-I with O/Zn-H
  4. Q4 Match the major products obtained in the reactions given in List-I with the corresponding structures in List-II and choose the correct option. …

MATH-I

  1. Q1Consider the function given by Then which one of the following statements is TRUE ?
  2. Q2 Let P be the point on the parabola such that the slope of the tangent to the parabola at the point P is
  3. Q3Which one of the following matrices can be obtained by performing elementary row transformations on the identity matrix ?
  4. Q4 Considering only the principal values of the inverse trigonometric functions, the value of

MATH-II

  1. Q1 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 be the event that the ball chosen belonged to Box I and let
  2. Q2 Let P be the plane such that it contains the straight line
  3. Q3 Let denote the set of all real numbers. Let be an arbitrary function and let
  4. Q4 Consider the matrix

MATH-III

  1. Q1 Let . Consider the set …
  2. Q2 Consider the function
  3. Q3 The number of ways to distribute identical red pens and identical blue pens among four persons such that each person gets pens, is _____________. …
  4. Q4Let . Then the value of is _____________.

MATH-IV

  1. Q1Match each entry in List-I to the correct entry in List-II and choose the correct option.
  2. Q2Match each entry in List-I to the correct entry in List-II and choose the correct option.
  3. Q3 For real numbers and , consider the matrix
  4. Q4Match each entry in List-I to the correct entry in List-II and choose the correct option.

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