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JEE Advanced2026Paper 2

JEE Advanced 2026 — Paper 2

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

PHY-I

  1. Q1 A metal wire of cross-sectional area and length m is connected across a battery of e.m.f. V and internal resistance …
  2. Q2 A nuclear reactor starts producing a radioactive nuclide from , at a constant rate of per second. Each decay of
  3. Q3 A beam of polychromatic light passes through a thin prism of prism angle . The refractive index of the material of the prism varies with wavelength as
  4. Q4 A particle of mass , and angular momentum is moving in a circular orbit of radius

PHY-II

  1. Q1 Consider two isosceles prisms 1 and 2 with prism angles and
  2. Q2 In a vacuum chamber, a particle of charge C and mass mg is projected with a velocity
  3. Q3 Two charges and
  4. Q4 Consider an electric dipole comprising two charges and each with mass , separated by a fixed distance and initially at rest with its dipole moment pointing along …
  5. Q5 Ten moles of an ideal monoatomic gas, initially in state at atmospheric pressure and temperature

PHY-III

  1. Q1 Two thin wires, Wire-1 of diameter mm and Wire-2 of unknown diameter are given. To obtain the value of , the diameters of the two wires are measured with a screw gauge. The screw gauge has a pitch of mm and there are
  2. Q2 In a single slit diffraction experiment, a slit of width mm is used to measure the wavelength of a monochromatic light source. In the diffraction pattern, the angular distance between the central maximum and first minimum is measured to be
  3. Q3 As shown in the figure, a ray of unpolarized light enters from water of refractive index
  4. Q4 As shown in the figure, the resistance of a galvanometer can be found by the half-deflection method. Here the resistance is adjusted such that when the key …
  5. Q5 In a new system of units, the units of mass, length, time and current are kg, m, s and A, respectively. If

PHY-IV

  1. Q1 Question Stem (Q1-Q2).
     A container of height m, length m and breadth m is made of insulating vertical walls and two large area horizontal metal plates (
  2. Q2 Question Stem (Q1-Q2).
    A container of height m, length m and breadth m is made of insulating vertical walls and two large area horizontal metal plates (
  3. Q3 Question Stem (Q3-Q4).
    A uniform circular disk of radius m and mass kg is pivoted at its top point such that it can rotate freely around in the
  4. Q4 Question Stem (Q3-Q4).
    A uniform circular disk of radius m and mass kg is pivoted at its top point such that it can rotate freely around in the

CHEM-I

  1. Q1 At K, the molar conductivities of the aqueous solutions of three salts at two different concentrations are given below: The conductivity of a saturated aqueous solution of AgCl is
  2. Q2The correct order of ONO bond angle in the given species is:
  3. Q3 Natural rubber on complete ozonolysis (O/Zn-H
  4. Q4 A known artificial sweetener is composed of 4-chloro-4-deoxy--D-galactose and 1,6-dichloro-1,6-dideoxy--D-fructose joined by a glycosidic linkage. Structure of D-galactose is given below: The correct structure of is: …

CHEM-II

  1. Q1 For a first-order reaction at a given temperature, is the rate constant. For this reaction, at the given temperature, the concentrations of and
  2. Q2Correct statement(s) about the compounds , and is(are)
  3. Q3The correct statement(s) regarding the periodic properties of elements is (are)
  4. Q4In the following reaction sequence, and are the major products. The correct statement(s) about and is (are)
  5. Q5 The correct statement(s) regarding sugars is (are) Given: Specific rotations of L-(-)-glucose and L-(+)-fructose are and

CHEM-III

  1. Q1 and
  2. Q2 At a given temperature, g of acetic acid in mL of water is shaken with g of charcoal and the pH of the resulting solution is . Assume, the adsorption of acetic acid from the aqueous solution by charcoal follows Freundlich isotherm,
  3. Q3 In a solvent , a compound is partially dissociated into and as given below:
  4. Q4 Consider that the coordinating atoms of the ligands in cis-[Co(NH)
  5. Q5 In the following reaction sequence, major products and are acyclic monomers. mol of completely reacts with mol of …

CHEM-IV

  1. Q1 Question Stem (Q1-Q2). Two volatile liquids and form an ideal solution. Consider a molal solution of in inside a closed container having a total vapour pr…
  2. Q2 Question Stem (Q1-Q2). Two volatile liquids and form an ideal solution. Consider a molal solution of in inside a closed container having a total vapour pr…
  3. Q3 Question Stem (Q3-Q4). Consider the following reaction sequence in which and are the major products. Given: Atomic mass (in amu): H: 1, C: 12, N: 14, O: 16, S: 32, Br: 80, Ba: 137.
    Q3. The volume of M …
  4. Q4 Question Stem (Q3-Q4). Consider the following reaction sequence in which and are the major products. Given: Atomic mass (in amu): H: 1, C: 12, N: 14, O: 16, S: 32, Br: 80, Ba: 137.
    Q4. In sulphur estimation by Carius method, the amount of BaSO

MATH-I

  1. Q1 Let
  2. Q2 Let T be the tangent to the parabola at the point
  3. Q3Let be the solution of the differential equation satisfying . Then the value of is
  4. Q4The value of the definite integral is

MATH-II

  1. Q1 Let denote the set of all real numbers. Consider the polynomial function defined by
  2. Q2 Let a, b, c be positive integers in arithmetic progression such that the equation
  3. Q3 Let L be the straight line joining the points and
  4. Q4 Let be the real valued function defined on the interval , satisfying …
  5. Q5 Let denote the set of all real numbers and let

MATH-III

  1. Q1 Let denote the set of all positive integers. Consider the sets
  2. Q2 A bookshelf contains 6 distinct books of Mathematics and 5 distinct books of Physics. From these 11 books, 6 books are chosen at random. Let be the absolute value of the difference between the number of Mathematics books chosen and the number of Physics books chosen. If is the mean of the random variable , then the value of
  3. Q3 Consider a data consisting of 10 observations
  4. Q4 Consider the ellipse given by
  5. Q5 For a real number , let denote the greatest integer less than or equal to . For a finite set , let …

MATH-IV

  1. Q1 Question Stem (Q1-Q2). Consider the curve given by
  2. Q2 Question Stem (Q1-Q2). Consider the curve given by
  3. Q3 Question Stem (Q3-Q4). Consider the ellipses given by
  4. Q4 Question Stem (Q3-Q4). Consider the ellipses given by

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