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JEE Advanced2022Paper 1

JEE Advanced 2022 — Paper 1

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

PHY-I

  1. Q1 Two spherical stars and have densities
  2. Q2 The minimum kinetic energy needed by an alpha particle to cause the nuclear reaction
  3. Q3In the following circuit , and . The charge stored in is ____ C.
  4. Q4 A rod of length 2 cm makes an angle rad with the principal axis of a t…
  5. Q5 At time , a disk of radius 1 m starts to roll without slipping on a horizontal plane with an angular acceleration of
  6. Q6 A solid sphere of mass 1 kg and radius 1 m rolls without slipping on a fixed inclined plane with an angle of inclination from the horizontal. Two forces of magnitude 1 N each, parallel to the incline, act on the sphere, both at distance
  7. Q7 Consider an LC circuit, with inductance H and capacitance
  8. Q8 A projectile is fired from horizontal ground with speed and projection angle . When the acceleration due to gravity is , the range of the projectile is . If at the highest point in its trajectory, the projectile enters a diff…

PHY-II

  1. Q1 A medium having dielectric constant fills the space between the plates of a parallel plate capacitor. The plates have large area, and the distance between them is . The capacitor is connected to a battery of voltage
  2. Q2 The figure shows a circuit having eight resistances of each, labelled to …
  3. Q3 An ideal gas of density kg m enters a chimney of height…
  4. Q4 Three plane mirrors form an equilateral triangle with each side of length . There is a small hole at a distance from one of the corners as shown in the figure. A ray of light is passed through the hole at an angle
  5. Q5 Six charges are placed around a regular hexagon of side length as shown in the figure. Five of them have charge , and the remaining one has charge . The perpendicular from each charge to the nearest hexagon side passes through the center of the hexagon an…
  6. Q6 The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed inside the nucleus. Let the binding energy of a proton be

PHY-III

  1. Q1 A small circular loop of area and resistance is fixed on a horizontal -plane with the center of the loop always on the axis
  2. Q2 List I describes four systems, each with two particles and in relative motion as shown in figures. List II gives possible magnitude of their relative velocities (in m s
  3. Q3 List I describes thermodynamic processes in four different systems. List II gives the magnitudes (either exactly or as a close approximation) of possible changes in the internal energy of the system due to the process. Which one of the following options is correct? …
  4. Q4 List I contains four combinations of two lenses (1 and 2) whose focal lengths (in cm) are indicated in the figures. In all cases, the object is placed 20 cm from the first lens on the left, and the distance between the two lenses is 5 cm. List II contains the positions of the final images. Which one of the following options is correct? …

CHEM-I

  1. Q1 2 mol of Hg(g) is combusted in a fixed volume bomb calorimeter with excess of O at 298 K and 1 atm into HgO(s). During the reaction, temperature increases from 298.0 K to 312.8 K. If heat capacity of the bomb calorimeter and enthalpy of formation of Hg(g) are 20.00 kJ K
  2. Q2 The reduction potential (, in V) of
  3. Q3 A solution is prepared by mixing 0.01 mol each of HCO
  4. Q4 The treatment of an aqueous solution of 3.74 g of Cu(NO)
  5. Q5 Dissolving 1.24 g of white phosphorous in boiling NaOH solution in an inert atmosphere gives a gas Q. The amount of CuSO (in g) required to completely consume the gas Q is _______. [Given: Atomic mass of H = 1, O = 16, Na = 23, P = 31, S = 32, Cu = 63] …
  6. Q6 Consider the following reaction. On estimation of bromine in 1.00 g of R using Carius method, the amount of AgBr formed (in g) is ________. [Given: Atomic mass of H = 1, C = 12, O = 16, P = 31, Br = 80, Ag = 108] …
  7. Q7 The weight percentage of hydrogen in Q, formed in the following reaction sequence, is ________. [Given: Atomic mass of H = 1, C = 12, N = 14, O = 16, S = 32, Cl = 35] …
  8. Q8 If the reaction sequence given below is carried out with 15 moles of acetylene, the amount of the product D formed (in g) is __________. The yields of A, B, C and D are given in parentheses. [Given: Atomic mass of H = 1, C = 12, O = 16, Cl = 35] …

CHEM-II

  1. Q1For diatomic molecules, the correct statement(s) about the molecular orbitals formed by the overlap of two 2p orbitals is(are)
  2. Q2The correct option(s) related to adsorption processes is(are)
  3. Q3The electrochemical extraction of aluminium from bauxite ore involves
  4. Q4The treatment of galena with HNO produces a gas that is
  5. Q5Considering the reaction sequence given below, the correct statement(s) is(are)
  6. Q6Considering the following reaction sequence, the correct option(s) is(are)

CHEM-III

  1. Q1 Match the rate expressions in LIST-I for the decomposition of X with the corresponding profiles provided in LIST-II. and are…
  2. Q2 LIST-I contains compounds and LIST-II contains reactions Match each compound in LIST-I with its formation reaction(s) in LIST-II, and choose the correct option …
  3. Q3 LIST-I contains metal species and LIST-II contains their properties. [Given: Atomic number of Cr = 24, Ru = 44, Fe = 26] Match each metal species in LIST-I with their properties in LIST-II, and choose the correct option …
  4. Q4Match the compounds in LIST-I with the observations in LIST-II, and choose the correct option.

MATH-I

  1. Q1 Considering only the principal values of the inverse trigonometric functions, the value of
  2. Q2 Let be a positive real number. Let and
  3. Q3 In a study about a pandemic, data of 900 persons was collected. It was found that 190 persons had symptom of fever,
    220 persons had symptom of cough,
    220 persons had symptom of breathing problem,
    330 persons had symptom of fever or cough or both,
    350 persons had symptom of cough or breathing problem or both,
    340 persons had symptom of fever or breathing problem or both,
    30 persons had all three symptoms (fever, cough and breathing problem). If a person is chosen randomly from these 900 persons, then the probability that the person has at most one symptom is _____________. …
  4. Q4Let be a complex number with non-zero imaginary part. If is a real number, then the value of is _________.
  5. Q5 Let denote the complex conjugate of a complex number and let
  6. Q6 Let
  7. Q7The number of 4-digit integers in the closed interval formed by using the digits is ______.
  8. Q8 Let be the triangle with ,

MATH-II

  1. Q1Consider the equation Which of the following statements is/are TRUE?
  2. Q2 Let
  3. Q3 Let and
  4. Q4 Let be the reflection of a point with respect to the plane given by
  5. Q5 Consider the parabola . Let
  6. Q6 Let denote the determinant of a square matrix . Let

MATH-III

  1. Q1Consider the following lists: The correct option is:
  2. Q2 Two players, and
  3. Q3 Let be non-zero real numbers that are, respectively, the
  4. Q4 Consider the ellipse

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