JEE Advanced2022Paper 2
JEE Advanced 2022 — Paper 2
54 questions with step-by-step solutions. All free.
PHY-I
- Q1 A particle of mass 1 kg is subjected to a force which depends on the position as
- Q2 In a radioactive decay chain reaction, nucleus decays into …
- Q3 Two resistances
- Q4 In a particular system of units, a physical quantity can be expressed in terms of the electric charge , electron mass , Planck's constant …
- Q5 Consider a configuration of identical units, each consisting of three layers. The first layer is a column of air of height
- Q6 A charge is surrounded by a closed surface consisting of an inverted cone of height and base radius , and a hemisphere of radius as shown in the figure. The electric flux through the conical surface is …
- Q7 On a frictionless horizontal plane, a bob of mass kg is attached to a spring with natural length
- Q8 An object and a concave mirror of focal length cm both move along the principal axis of the mirror with constant speeds. The object moves with speed
PHY-II
- Q1 In the figure, the inner (shaded) region represents a sphere of radius
- Q2 In Circuit-1 and Circuit-2 shown in the figures,
- Q3 A bubble has surface tension . The ideal gas inside the bubble has ratio of specific heats
- Q4 A disk of radius with uniform positive charge density is placed on the plane with its center at the origin. The Coulomb potential along the -axis is …
- Q5 A double slit setup is shown in the figure. One of the slits is in medium 2 of refractive index . The other slit is at the interface of this medium with another medium 1 of refractive index
- Q6 In the given P-V diagram, a monoatomic gas
PHY-III
- Q1 A flat surface of a thin uniform disk of radius is glued to a horizontal table. Another thin uniform disk of mass and with the same radius
- Q2 When light of a given wavelength is incident on a metallic surface, the minimum potential needed to stop the emitted photoelectrons is 6.0 V. This potential drops to 0.6 V if another source with wavelength four times that of the first one and intensity half of the first one is used. What are the wavelength of the first source and the work function of the metal, respectively? [Take
- Q3 Area of the cross-section of a wire is measured using a screw gauge. The pitch of the main scale is 0.5 mm. The circular scale has 100 divisions and for one full rotation of the circular scale, the main scale shifts by two divisions. The measured readings are listed below. What are the diameter and cross-sectional area of the wire measured using the screw gauge? …
- Q4 Which one of the following options represents the magnetic field at due to the cur…
CHEM-I
- Q1 Concentration of HSO
- Q2 An aqueous solution is prepared by dissolving 0.1 mol of an ionic salt in 1.8 kg of water at 35°C. The salt remains 90% dissociated in the solution. The vapour pressure of the solution is 59.724 mm of Hg. Vapor pressure of water at 35°C is 60.000 mm of Hg. The number of ions present per formula unit of the ionic salt is _______. …
- Q3 Consider the strong electrolytes ZX
- Q4The reaction of Xe and OF gives a Xe compound P. The number of moles of HF produced by the complete hydrolysis of 1 mol of P is _______.
- Q5 Thermal decomposition of AgNO produces two paramagnetic gases. The total number of electrons present in the antibonding molecular orbitals of the gas that has the higher number of unpaired electrons is _______. …
- Q6 The number of isomeric tetraenes (NOT containing sp-hybridized carbon atoms) that can be formed from the following reaction sequence is ________. …
- Q7The number of -CH- (methylene) groups in the product formed from the following reaction sequence is ________.
- Q8The total number of chiral molecules formed from one molecule of P on complete ozonolysis (O, Zn/HO) is ________.
CHEM-II
- Q1 To check the principle of multiple proportions, a series of pure binary compounds (PQ
- Q2The correct option(s) about entropy (S) is(are) [R = gas constant, F = Faraday constant, T = Temperature]
- Q3The compound(s) which react(s) with NH to give boron nitride (BN) is(are)
- Q4 The correct option(s) related to the extraction of iron from its ore in the blast furnace operating in the temperature range 900 – 1500 K is(are) …
- Q5Considering the following reaction sequence, the correct statement(s) is(are)
- Q6Among the following, the correct statement(s) about polymers is(are)
CHEM-III
- Q1 Atom X occupies the fcc lattice sites as well as alternate tetrahedral voids of the same lattice. The packing efficiency (in %) of the resultant solid is closest to …
- Q2The reaction of HClO with HCl gives a paramagnetic gas, which upon reaction with O produces
- Q3 The reaction of Pb(NO)
- Q4Treatment of D-glucose with aqueous NaOH results in a mixture of monosaccharides, which are
MATH-I
- Q1 Let and be real numbers such that
- Q2 If is the solution of the differential equation
- Q3The greatest integer less than or equal to is ______.
- Q4The product of all positive real values of satisfying the equation is _____.
- Q5If , then the value of is _____.
- Q6Let be a real number. Consider the matrix . If is a singular matrix, then the value of is _____.
- Q7 Consider the hyperbola
- Q8 Consider the functions defined by
MATH-II
- Q1 Let be a quadrilateral in a plane, where ,
- Q2Let . Let be the function defined by Then, which of the following statements is/are TRUE?
- Q3 Let denote the complex conjugate of a complex number . If is…
- Q4 Let be a circle of radius . Let
- Q5 Let
- Q6 For , let the function be the solution of the differential equation
MATH-III
- Q1 Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls are distinct. In how many different ways can 10 balls be chosen from these 4 boxes so that from each box at least one red ball and one blue ball are chosen? …
- Q2If , then which of the following matrices is equal to ?
- Q3 Suppose that Box-I contains 8 red, 3 blue and 5 green balls, Box-II contains 24 red, 9 blue and 15 green balls, Box-III contains 1 blue, 12 green and 3 yellow balls, Box-IV contains 10 green, 16 orange and 6 white balls. A ball is chosen randomly from Box-I; call this ball . If is red then a ball is chosen randomly from Box-II, if is blue then a ball is chosen randomly from Box-III, and if
- Q4 For positive integer , define
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