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JEE Advanced2024Paper 2

JEE Advanced 2024 — Paper 2

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

PHY-I

  1. Q1 A region in the form of an equilateral triangle (in plane) of height has a uniform magnetic field
  2. Q2 A particle of mass is under the influence of the gravitational field of a body of mass (). The particle is moving in a circular orbit of radius
  3. Q3 A metal target with atomic number is bombarded with a high energy electron beam. The emission of X-rays from the target is analyzed. The ratio of the wavelengths of the
  4. Q4 A thin stiff insulated metal wire is bent into a circular loop with its two ends extending tangentially from the same point of the loop. The wire loop has mass and radius and it is in a uniform vertical magnetic field

PHY-II

  1. Q1 A small electric dipole
  2. Q2 A table tennis ball has radius m and mass
  3. Q3 A positive, singly ionized atom of mass number is accelerated from rest by the voltage V. Thereafter, it enters a rectangular region of width …

PHY-III

  1. Q1 The dimensions of a cone are measured using a scale with a least count of mm. The diameter of the base and the height are both measured to be cm. The maximum percentage error in the determination of the volume is ______. …
  2. Q2 A ball is thrown from the location
  3. Q3 A charge is kept at the central point of a cylindrical region. The two edges subtend a half-angle at , as shown in the figure. When
  4. Q4 Two equilateral-triangular prisms and
  5. Q5 An infinitely long thin wire, having a uniform charge density per unit length of nC/m, is passing through a spherical shell of radius m, as shown in the figure. A nC charge is distributed uniformly over the spherical shell. If the configuration of the charges remains static, the magnitude of the potential difference between points and …
  6. Q6 A spherical soap bubble inside an air chamber at pressure

PHY-IV

  1. Q1 PARAGRAPH I In a Young's double slit experiment, each of the two slits and , as shown in the figure, are oscillating about their fixed center and with a mean separation of mm. The distance between the slits at time is given by
  2. Q2 PARAGRAPH I In a Young's double slit experiment, each of the two slits and , as shown in the figure, are oscillating about their fixed center and with a mean separation of mm. The distance between the slits at time is given by
  3. Q3 PARAGRAPH II Two particles, and , each of mass , are connected by a massless spring, and are on a horizontal frictionless plane, as shown in the figure. Initially, the two particles, with their center of mass at
  4. Q4 PARAGRAPH II Two particles, and , each of mass , are connected by a massless spring, and are on a horizontal frictionless plane, as shown in the figure. Initially, the two particles, with their center of mass at

CHEM-I

  1. Q1According to Bohr's model, the highest kinetic energy is associated with the electron in the
  2. Q2 In a metal deficient oxide sample,
  3. Q3In the following reaction sequence, the major product Q is
  4. Q4The species formed on fluorination of phosphorus pentachloride in a polar organic solvent are

CHEM-II

  1. Q1 An aqueous solution of hydrazine (
  2. Q2The option(s) with correct sequence of reagents for the conversion of P to Q is(are)
  3. Q3The compound(s) having peroxide linkage is(are)

CHEM-III

  1. Q1 To form a complete monolayer of acetic acid on g of charcoal, mL of M acetic acid was used. Some of the acetic acid remained unadsorbed. To neutralize the unadsorbed acetic acid, mL of M …
  2. Q2 Vessel-1 contains g of a non-volatile solute dissolved in …
  3. Q3 For a double strand DNA, one strand is given below: The amount of energy required to split the double strand DNA into two single strands is _____ kcal mol. [Given: Average energy per H-bond for A-T base pair
  4. Q4 A sample initially contains only U-238 isotope of uranium. With time, some of the U-238 radioactively decays into Pb-206 while the rest of it remains undisintegrated. When the age of the sample is yea…
  5. Q5 Among
  6. Q6 An organic compound having molecular formula

CHEM-IV

  1. Q1 PARAGRAPH I An organic compound with molecular formula
  2. Q2 PARAGRAPH I An organic compound with molecular formula
  3. Q3 PARAGRAPH II When potassium iodide is added to an aqueous solution of potassium ferricyanide, a reversible reaction is observed in which a complex is formed. In a strong acidic medium, the equilibrium shifts completely towards . Addition of zinc chloride to in a slightly acidic medium results in a sparingly soluble complex
  4. Q4 PARAGRAPH II When potassium iodide is added to an aqueous solution of potassium ferricyanide, a reversible reaction is observed in which a complex is formed. In a strong acidic medium, the equilibrium shifts completely towards . Addition of zinc chloride to in a slightly acidic medium results in a sparingly soluble complex

MATH-I

  1. Q1Considering only the principal values of the inverse trigonometric functions, the value of is
  2. Q2Let . If the area of the region is , then is equal to
  3. Q3Let . If , then the value of is
  4. Q4Let be a function defined by Then which of the following statements is TRUE?

MATH-II

  1. Q1 Let be the set of all
  2. Q2 A straight line drawn from the point , parallel to the line
  3. Q3 Let

MATH-III

  1. Q1 Let be a function such that
  2. Q2 A bag contains balls out of which 3 balls are white, 6 balls are green, and the remaining balls are blue. Assume that the balls are identical otherwise. Three balls are drawn randomly one after the other without replacement. For
  3. Q3 Let the function be defined by
  4. Q4 Let
  5. Q5 A normal with slope
  6. Q6 Let the function be defined by

MATH-IV

  1. Q1 PARAGRAPH I Let
  2. Q2 PARAGRAPH I Let
  3. Q3 PARAGRAPH II Let
  4. Q4 PARAGRAPH II Let

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