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JEE Advanced2025Paper 1

JEE Advanced 2025 — Paper 1

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

PHY-I

  1. Q1 The center of a disk of radius and mass is attached to a spring of spring constant , inside a ring of radius
  2. Q2 In a scattering experiment, a particle of mass collides with another particle of mass , which is initially at rest. Assuming the collision to be perfectly elastic, the maximum angular deviation of the heavier particle, as shown in the figure, in radians is: …
  3. Q3 A conducting square loop initially lies in the plane with its lower edge hinged along the -axis. Only in the region
  4. Q4 Figure 1 shows the configuration of main scale and Vernier scale before measurement. Fig. 2 shows the configuration corresponding to the measurement of diameter of a tube. The measured value of is: …

PHY-II

  1. Q1 A conducting square loop of side , mass and resistance is moving in the plane with its edges parallel to the
  2. Q2 Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm, and 6.0 m, respectively. Which of the following option(s) give(s) the volume of the strip in cm with correct significant figures: …
  3. Q3 Consider a system of three connected strings, ,

PHY-III

  1. Q1 A person sitting inside an elevator performs a weighing experiment with an object of mass 50 kg. Suppose that the variation of the height (in m) of the elevator, from the ground, with time (in s) is given by
  2. Q2 A cube of unit volume contains photons of frequency
  3. Q3 Two identical plates P and Q, radiating as perfect black bodies, are kept in vacuum at constant absolute temperatures and
  4. Q4 A solid glass sphere of refractive index
  5. Q5 A single slit diffraction experiment is performed to determine the slit width using the equation,
  6. Q6 Consider an electron in the orbit of a hydrogen-like atom with atomic number . At absolute temperature , a neutron having thermal energy

PHY-IV

  1. Q1 List-I shows four configurations, each consisting of a pair of ideal electric dipoles. Each dipole has a dipole moment of magnitude , oriented as marked by arrows in the figures. In all the configurations the dipoles are fixed such that they are at a distance apart along the direction. The midpoint of the line joining the two dipoles is
  2. Q2 A circuit with an electrical load having impedance is connected with an AC source as shown in the diagram. The source voltage varies in time as
  3. Q3 List-I shows various functional dependencies of energy () on the atomic number (). Energies associated with certain phenomena are given in List-II. Choose the option that describes the correct match between the entries in List-I to those in List-II. …

CHEM-I

  1. Q1 The heating of NHNO
  2. Q2The correct order of the wavelength maxima of the absorption band in the ultraviolet-visible region for the given complexes is
  3. Q3One of the products formed from the reaction of permanganate ion with iodide ion in neutral aqueous medium is
  4. Q4Consider the depicted hydrogen (H) in the hydrocarbons given below. The most acidic hydrogen (H) is

CHEM-II

  1. Q1Regarding the molecular orbital (MO) energy levels for homonuclear diatomic molecules, the INCORRECT statement(s) is(are)
  2. Q2The pair(s) of diamagnetic ions is(are)
  3. Q3 For the reaction sequence given below, the correct statement(s) is(are) (In the options, X is any atom other than carbon and hydrogen, and it is different in P, Q and R) …

CHEM-III

  1. Q1 In an electrochemical cell, dichromate ions in aqueous acidic medium are reduced to Cr. The current (in amperes) that flows through the cell for 48.25 minutes to produce 1 mole of Cr
  2. Q2 At 25°C, the concentration of H ions in
  3. Q3 Molar volume () of a van der Waals gas can be calculated by expressing the van der Waals equation as a cubic equation with
  4. Q4 Considering ideal gas behavior, the expansion work done (in kJ) when 144 g of water is electrolyzed completely under constant pressure at 300 K is _______. Use: Universal gas constant () J K
  5. Q5 The monomer (X) involved in the synthesis of Nylon 6,6 gives positive carbylamine test. If 10 moles of X are analyzed using Dumas method, the amount (in grams) of nitrogen gas evolved is _______. Use: Atomic mass of N (in amu) = 14 …
  6. Q6 The reaction sequence given below is carried out with 16 moles of X. The yield of the major product in each step is given below the product in parentheses. The amount (in grams) of S produced is _______. Use: Atomic mass (in amu): H = 1, C = 12, O = 16, Br = 80 …

CHEM-IV

  1. Q1The correct match of the group reagents in List-I for precipitating the metal ion given in List-II from solutions, is
  2. Q2 The major products obtained from the reactions in List-II are the reactants for the named reactions mentioned in List-I. Match each entry in List-I with the appropriate entry in List-II and choose the correct options. …
  3. Q3Match the compounds in List-I with the appropriate observations in List-II and choose the correct option.

MATH-I

  1. Q1 Let denote the set of all real numbers. Let
  2. Q2 Three students
  3. Q3 Let denote the set of all real numbers. Define the function by
  4. Q4 Consider the matrix

MATH-II

  1. Q1 Let be the line of intersection of the planes given by the equations
  2. Q2 Let denote the set of all natural numbers, and denote the set of all integers. Consider the functions
  3. Q3 Let denote the set of all real numbers. Let

MATH-III

  1. Q1 Let the set of all relations on the set
  2. Q2 For any two points and in the -plane, let
  3. Q3 Let be the set of all seven-digit numbers that can be formed using the digits and . For example, is in
  4. Q4Let and be the real numbers such that Then the value of is ______.
  5. Q5 Let denote the set of all real numbers. Let be a function such that
  6. Q6 For all , let

MATH-IV

  1. Q1 Consider the following frequency distribution: Suppose that the sum of the frequencies is and the median of this frequency distribution is . For the given frequency distribution, let denote the mean deviation about the mean, denote the mean deviation about the median, and…
  2. Q2 Let denote the set of all real numbers. For a real number , let denote the greatest integer less than or equal to . Let
  3. Q3 Let

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