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JEE Advanced2023Paper 2

JEE Advanced 2023 — Paper 2

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

PHY-I

  1. Q1 An electric dipole is formed by two charges and located in -plane at
  2. Q2 Young's modulus of elasticity is expressed in terms of three derived quantities, namely, the gravitational constant , Planck's constant and the speed of light , as
  3. Q3 A particle of mass is moving in the -plane such that its velocity at a point is given as
  4. Q4 An ideal gas is in thermodynamic equilibrium. The number of degrees of freedom of a molecule of the gas in . The internal energy of one mole of the gas is and…

PHY-II

  1. Q1 A monochromatic light wave is incident normally on a glass slab of thickness , as shown in the figure. The refractive index of the slab increases linearly from to …
  2. Q2 An annular disk of mass , inner radius and outer radius is placed on a horizontal surface with coefficient of friction , as shown in the figure. At some time, an impulse
  3. Q3 The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by

PHY-III

  1. Q1 A thin circular coin of mass gm and radius cm is initially in a horizontal -plane. The coin is tossed vertically up (
  2. Q2 A rectangular conducting loop of length cm and width cm is in the -plane, as shown in the figure. It is being moved away from a thin and long conducting wire along the direction
  3. Q3 A string of length m and mass …
  4. Q4 An incompressible liquid is kept in a container having a weightless piston with a hole. A capillary tube of inner radius mm is dipped vertically into the liquid through the airtight piston hole, as shown in the figure. The air in the container is isothermally compressed from its original volume
  5. Q5 In a radioactive decay process, the activity is defined as
  6. Q6 One mole of an ideal gas undergoes two different cyclic processes I and II, as shown in the - diagrams below. In cycle I, processes and …

PHY-IV

  1. Q1 PARAGRAPH-I and
  2. Q2 PARAGRAPH-I and
  3. Q3 PARAGRAPH-II A cylindrical furnace has height () and diameter () both m. It is maintained at temperature K. The air gets heated inside the furnace at constant pressure
  4. Q4 PARAGRAPH-II A cylindrical furnace has height () and diameter () both m. It is maintained at temperature K. The air gets heated inside the furnace at constant pressure

CHEM-I

  1. Q1The correct molecular orbital diagram for molecule in the ground state is
  2. Q2 Consider the following statements related to colloids. (I) Lyophobic colloids are not formed by simple mixing of dispersed phase and dispersion medium. (II) For emulsions, both the dispersed phase and the dispersion medium are liquid. (III) Micelles are produced by dissolving a surfactant in any solvent at any temperature. (IV) Tyndall effect can be observed from a colloidal solution with dispersed phase having the same refractive index as that of the dispersion medium. The option with the correct set of statements is …
  3. Q3In the following reactions, P, Q, R, and S are the major products. The correct statement about P, Q, R, and S is
  4. Q4A disaccharide X cannot be oxidised by bromine water. The acid hydrolysis of X leads to a laevorotatory solution. The disaccharide X is

CHEM-II

  1. Q1The complex(es), which can exhibit the type of isomerism shown by , is(are) [en = ]
  2. Q2 Atoms of metals , , and form face-centred cubic (fcc) unit cell of edge length
  3. Q3In the following reactions, P, Q, R, and S are the major products. The correct statement(s) about P, Q, R, and S is (are)

CHEM-III

  1. Q1 ( moles) reacts completely with acidified aqueous potassium permanganate solution. In this reaction, the numb…
  2. Q2 Among
  3. Q3 Consider the following molecules:
  4. Q4 For , a transition takes place from the orbit of radius pm to the orbit of radius pm. The …
  5. Q5 mL of molal urea solution (density g mL
  6. Q6 The reaction of 4-methyloct-1-ene (P, g) with HBr in the presence of

CHEM-IV

  1. Q1 PARAGRAPH I The entropy versus temperature plot for phases and at bar pressure is given.
  2. Q2 PARAGRAPH I The entropy versus temperature plot for phases and at bar pressure is given.
  3. Q3 PARAGRAPH II A trinitro compound, -tris-(4-nitrophenyl) benzene, on complete reaction with an excess of Sn/HCl gives major product, which on treatment with an excess of NaNO
  4. Q4 PARAGRAPH II A trinitro compound, -tris-(4-nitrophenyl) benzene, on complete reaction with an excess of Sn/HCl gives major product, which on treatment with an excess of NaNO

MATH-I

  1. Q1 Let be a differentiable function such that
  2. Q2 Consider an experiment of tossing a coin repeatedly until the outcomes of two consecutive tosses are same. If the probability of a random toss resulting in head is
  3. Q3 For any , let
  4. Q4 Let the position vectors of the points P, Q, R and S be

MATH-II

  1. Q1 Let
  2. Q2 Let be the function defined as
  3. Q3 Let be the set of all twice differentiable functions from to such that

MATH-III

  1. Q1For , let . Then the minimum value of the function defined by is
  2. Q2 For , let be a solution of the differential equation
  3. Q3 Let be the set of all five digit numbers formed using
  4. Q4 Let
  5. Q5Let Then the number of invertible matrices in is
  6. Q6 Let be the circle of radius with center at the origin. Let

MATH-IV

  1. Q1 PARAGRAPH “I” Consider an obtuse angled triangle in which the difference between the largest and the smallest angle is
  2. Q2 PARAGRAPH “I” Consider an obtuse angled triangle in which the difference between the largest and the smallest angle is
  3. Q3 PARAGRAPH “II” Consider the square in the figure. Let
  4. Q4 PARAGRAPH “II” Consider the square in the figure. Let

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