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JEE Advanced2023Paper 1

JEE Advanced 2023 — Paper 1

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

PHY-I

  1. Q1 A slide with a frictionless curved surface, which becomes horizontal at its lower end, is fixed on the terrace of a building of height from the ground, as shown in the figure. A spherical ball of mass is released on the slide from rest at a height from the top of the terrace. The ball leaves the slide with a velocity
  2. Q2 A plane polarized blue light ray is incident on a prism such that there is no reflection from the surface of the prism. The angle of deviation of the emergent ray is (see Figure-1). The angle of minimum deviation for red light from the same prism is …
  3. Q3 In a circuit shown in the figure, the capacitor is initially uncharged and the key is open. In this condition, a current of A flows through the resistor. The key is closed at time …

PHY-II

  1. Q1 A bar of mass kg and length m is lying on a horizontal frictionless surface. One end of the bar is pivoted at a point about which it is free to rotate. A small mass …
  2. Q2 A container has a base of and height cm, as shown in the figure. It has two parallel electrically conducting walls each of area
  3. Q3 One mole of an ideal gas expands adiabatically from an initial state
  4. Q4 Two satellites P and Q are moving in different circular orbits around the Earth (radius ). The heights of P and Q from the Earth surface are

PHY-III

  1. Q1 A Hydrogen-like atom has atomic number . Photons emitted in the electronic transitions from level to level
  2. Q2 An optical arrangement consists of two concave mirrors and
  3. Q3 In an experiment for determination of the focal length of a thin convex lens, the distance of the object from the lens is cm and the distance of its real image from the lens is cm. The error in t…
  4. Q4 A closed container contains a homogeneous mixture of two moles of an ideal monatomic gas () and one mole of an ideal diatomic gas (
  5. Q5 A person of height m is walking away from a lamp post of height m along a straight path on the flat ground. The lamp post and the person are always perpendicular to the ground. If the speed of the person is
  6. Q6 Two point-like objects of masses gm and gm are fixed at the two ends of a rigid massless rod of length cm. This system is suspended vertically from a rigid ceiling using a thin wire attached to its center of mass, as shown in the figure. The resulting torsional pendulum undergoes small oscillations. The torsional constant of the wire is

PHY-IV

  1. Q1 List-I shows different radioactive decay processes and List-II provides possible emitted particles. Match each entry in List-I with an appropriate entry from List-II, and choose the correct option. …
  2. Q2 Match the temperature of a black body given in List-I with an appropriate statement in List-II, and choose the correct option. [Given: Wien's constant as m-K and …
  3. Q3 A series LCR circuit is connected to a Volt source. The resonant angular frequency of the circuit is
  4. Q4 A thin conducting rod MN of mass gm, length cm and resistance is held on frictionless, long, perfectly conducting vertical rails as shown in the figure. There is a uniform magnetic field

CHEM-I

  1. Q1The correct statement(s) related to processes involved in the extraction of metals is(are)
  2. Q2In the following reactions, P, Q, R, and S are the major products. The correct statement(s) about P, Q, R, and S is(are)
  3. Q3Consider the following reaction scheme and choose the correct option(s) for the major products Q, R and S.

CHEM-II

  1. Q1In the scheme given below, X and Y, respectively, are
  2. Q2 Plotting against
  3. Q3 On decreasing the H from to , the solubility of a sparingly soluble salt (MX) of a weak acid (HX) increased from
  4. Q4 In the given reaction scheme, P is a phenyl alkyl ether, Q is an aromatic compound; R and S are the major products.

CHEM-III

  1. Q1 The stoichiometric reaction of g of dimethyldichlorosilane with water results in a tetrameric cyclic product X in yield. The weight (in g) of X obtained is ___. [Use, molar mass (g mol
  2. Q2 A gas has a compressibility factor of and a molar volume of
  3. Q3 The plot of versus
  4. Q4 One mole of an ideal monoatomic gas undergoes two reversible processes ( and ) as shown in the given figure: …
  5. Q5 In a one-litre flask, moles of undergoes the reaction
  6. Q6The total number of sp hybridised carbon atoms in the major product P (a non-heterocyclic compound) of the following reaction is _______.

CHEM-IV

  1. Q1 Match the reactions (in the given stoichiometry of the reactants) in List-I with one of their products given in List-II and choose the correct option. …
  2. Q2 Match the electronic configurations in List-I with appropriate metal complex ions in List-II and choose the correct option. [Atomic Number: Fe = 26, Mn = 25, Co = 27] …
  3. Q3Match the reactions in List-I with the features of their products in List-II and choose the correct option.
  4. Q4 The major products obtained from the reactions in List-II are the reactants for the named reactions mentioned in List-I. Match List-I with List-II and choose the correct option. …

MATH-I

  1. Q1Let and . Then which of the following statements is(are) true ?
  2. Q2 Let and
  3. Q3 Let

MATH-II

  1. Q1 Let be the function defined as
  2. Q2 Let be the cube with the set of vertices
  3. Q3 Let
  4. Q4 Let be a point on the parabola

MATH-III

  1. Q1 Let
  2. Q2 Let be a natural number and
  3. Q3 Let
  4. Q4Let . If contains exactly one positive integer , then the value of is
  5. Q5 Let be the plane
  6. Q6 Let and be two nonzero real numbers. If the coefficient of in the expansion of

MATH-IV

  1. Q1 Let , and be real numbers. Consider the following system of linear equations
  2. Q2Consider the given data with frequency distribution Match each entry in List-I to the correct entries in List-II.
  3. Q3 Let and
  4. Q4 Let be a complex number satisfying

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