JEE Advanced2025Paper 2

JEE Advanced 2025 — Paper 2

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

PHY-I

Q1 A temperature difference can generate e.m.f. in some materials. Let $S$ be the e.m.f. produced per unit temperature difference between the ends of a wire, $σ$ the electrical conductivity and $κ$ the thermal conductivity of the material of the wire. Taking $M \dots$
Q2 Two co-axial conducting cylinders of same length $ℓ$ with radii $2 \dots$
Q3 As shown in the figures, a uniform rod $O O^{'}$ of length $l$ is hinged at the point $\dots$
Q4 Consider a star of mass $m_{2}$ kg revolving in a circular orbit around another star of mass $m_{\dots}$

PHY-II

Q1 A positive point charge of $1 0^{- 8}$ C is kept at a distance of 20 cm from the center of a neutral conducting sphere of radius 10 cm. The sphere is then grounded and the charge on the sphere is measured. The grounding is then removed and subsequently the point charge is moved by a distance of 10 cm further away from the center of the sphere along the radial direction. Taking $\dots$
Q2 Two identical concave mirrors each of focal length $f$ are facing each other as shown in the schematic diagram. The focal length $f$ is much larger than the size of the mirrors. A glass slab of thickness $t$ and refractive index $\dots$
Q3 Six infinitely large and thin non-conducting sheets are fixed in configurations I and II. As shown in the figure, the sheets carry uniform surface charge densities which are indicated in terms of $σ_{0}$ . The separation between any two consecutive sheets is $\dots$
Q4 The efficiency of a Carnot engine operating with a hot reservoir kept at a temperature of 1000 K is 0.4. It extracts 150 J of heat per cycle from the hot reservoir. The work extracted from this engine is being fully used to run a heat pump which has a coefficient of performance 10. The hot reservoir of the heat pump is at a temperature of 300 K. Which of the following statements is/are correct: …

PHY-III

Q1 A conducting solid sphere of radius $R$ and mass $M$ carries a charge $Q$ . The sphere is rotating about an axis passing through its center with a uniform angular speed $ω$ . The ratio of the magnitudes of the magnetic dipole moment to the …
Q2 A hydrogen atom, initially at rest in its ground state, absorbs a photon of frequency $ν_{1}$ and ejects the electron with a kinetic energy of 10 eV. The electron then combines with a positron at rest to form a positronium atom in its ground state and simultaneously emits a photon of frequency $\dots$
Q3 An ideal monatomic gas of $n$ moles is taken through a cycle $W X Y Z W$ consisting of consecutive adiabatic and isobaric quasi-static processes, as shown in the schematic $V$ - $\dots$
Q4 A geostationary satellite above the equator is orbiting around the earth at a fixed distance $r_{1}$ from the center of the earth. A second satellite is orbiting in the equatorial plane in the opposite direction to the earth's rotation, at a distance $\dots$
Q5 The left and right compartments of a thermally isolated container of length $L$ are separated by a thermally conducting, movable piston of area $A$ . The left and right compartments are filled with $2 \dots$
Q6 In a Young's double slit experiment, a combination of two glass wedges $A$ and $B$ , having refractive indices 1.7 and 1.5, respectively, are placed in front of the slits, as shown in the figure. The separation between the slits is $d = 2$ mm and the shortest distance b…
Q7 A projectile of mass 200 g is launched in a viscous medium at an angle 60 $^{\circ}$ with the horizontal, with an initial velocity of 270 m/s. It experiences a viscous drag force $F \dots$
Q8 An audio transmitter (T) and a receiver (R) are hung vertically from two identical massless strings of length 8 m with their pivots well separated along the $X$ axis. They are pulled from the equilibrium position in opposite directions along the $X$ axis by a small angular amplitude $θ_{\dots}$

CHEM-I

Q1During sodium nitroprusside test of sulphide ion in an aqueous solution, one of the ligands coordinated to the metal ion is converted to
Q2The complete hydrolysis of ICl, ClF $_{3}$ and BrF $_{5}$ , respectively, gives
Q3 Monocyclic compounds P, Q, R and S are the major products formed in the reaction sequences given below. The product having the highest number of unsaturated carbon atom(s) is- …
Q4The correct reaction/reaction sequence that would produce a dicarboxylic acid as the major product is

CHEM-II

Q1The correct statements (s) about intermolecular forces is(are)
Q2The compound(s) with P-H bond(s) is(are)
Q3For the reaction sequence given below, the correct statement(s) is(are)
Q4For the reaction sequence given below, the correct statement(s) is(are)

CHEM-III

Q1 The density (in g cm $^{- 3}$ ) of the metal which forms a cubic close packed (ccp) lattice with an axial distance (edge length) equal to 400 pm is ______. Use: Atomic mass of metal = 105.6 amu and Avogadro's constant = $6 \times \dots$
Q2 The solubility of barium iodate in an aqueous solution prepared by mixing 200 mL of 0.010 M barium nitrate with 100 mL of 0.10 M sodium iodate is $X \times 1 0^{- 6}$ mol dm…
Q3 Adsorption of phenol from its aqueous solution on to fly ash obeys Freundlich isotherm. At a given temperature, from 10 mg g $^{- 1}$ and 16 mg g $^{\dots}$
Q4 Consider a reaction $A + R \to$ Product. The rate of this reaction is measured to be $k [A] [R] \dots$
Q5 At 300 K, an ideal dilute solution of a macromolecule exerts osmotic pressure that is expressed in terms of the height ( $h$ ) of the solution (density = 1.00 g cm $^{- 3}$ ) where $h\dots$
Q6 An electrochemical cell is fueled by the combustion of butane at 1 bar and 298 K. Its cell potential is $\frac{X}{F} \dots$
Q7The sum of the spin only magnetic moment values (in B.M.) of [Mn(Br) $_{6}$ ] $^{3 -}$ and [Mn(CN) $_{6}$ ] $^{3 -}$ is ______.
Q8 A linear octasaccharide (molar mass = 1024 g mol $^{- 1}$ ) on complete hydrolysis produces three monosaccharides: ribose, 2-deoxyribose and glucose. The amount of 2-deoxyribose formed is 58.26% (w/w) of the total amount of the monosaccharides produced in the hydrolyzed products. The number of ribose unit(s) present in one molecule of octasaccharide is _______. Use : Molar mass (in g mol $\dots$

MATH-I

Q1 Let $x_{0}$ be the real number such that $e^{\dots}$
Q2Let $R$ denote the set of all real numbers. Then the area of the region (x,y)∈R×R:x>0, y>x1, 5x−4y−1>0, 4x+4y−17<0} is
Q3 The total number of real solutions of the equation tan−1(2tanθ)−…
Q4 Let $S$ denote the locus of the point of intersection of the pair of lines 3y=12α,4αx…

MATH-II

Q1 Let $I = (1001 \dots$
Q2 Let $S$ denote the locus of the mid-points of those chords of the parabola $y^{2} = \dots$
Q3 Let $P (x_{1}, y_{\dots}$
Q4 Let $R$ denote the set of all real numbers. Let $f : R \to R$ be defined by …

MATH-III

Q1 Let $y (x)$ be the solution of the differential equation dx…
Q2 Let $a_{0}, a_{\dots}$
Q3 A factory has a total of three manufacturing units, $M_{1}$ , $M_{\dots}$
Q4 Consider the vectors =i^…
Q5 For a non-zero complex number $z$ , let $ar g (z)$ denote the principal argument of $z$ , with $- \dots$
Q6 Let $R$ denote the set of all real numbers. Let $f : R \to R$ and $\dots$
Q7Let sin60∘sin61∘1+sin62∘sin63∘1+⋯+sin118∘sin119∘1. Then the value of αcosec1∘)2 is ________.
Q8 If ∫1/22…

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