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2025 · Shift 2

48 questions · JEE Advanced

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2025 · Shift 2

2025 · Shift 2

48 questions · JEE Advanced

Chemistry16 questions Mathematics16 questions Physics16 questions

Salt AnalysisChemistry · 1 questions P Block ElementsChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Alcohols Phenols and EthersChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Solid StateChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Surface ChemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions BiomoleculesChemistry · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Application of IntegrationMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions ParabolaMathematics · 1 questions EllipseMathematics · 1 questions Application of DerivativesMathematics · 1 questions Differential EquationsMathematics · 1 questions Mathematical Induction and Binomial TheoremMathematics · 1 questions ProbabilityMathematics · 1 questions Vector AlgebraMathematics · 1 questions Complex NumbersMathematics · 1 questions FunctionsMathematics · 1 questions Trigonometric Functions and EquationsMathematics · 1 questions Definite IntegrationMathematics · 1 questions Units and MeasurementsPhysics · 1 questions ElectrostaticsPhysics · 3 questions Simple Harmonic MotionPhysics · 1 questions GravitationPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions MagnetismPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Wave OpticsPhysics · 1 questions Laws of MotionPhysics · 1 questions WavesPhysics · 1 questions

Q1.During sodium nitroprusside test of sulphide ion in an aqueous solution, one of the ligands coordinated to the metal ion is converted to
Chemistry · Salt Analysis · MCQ
Q2.The complete hydrolysis of $I C l$ , $C l F_{3}$ and $B r F_{5}$ , respectively, gives :
Chemistry · P Block Elements · MCQ
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 : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q4.The correct reaction/reaction sequence that would produce a dicarboxylic acid as the major product is :
Chemistry · Alcohols Phenols and Ethers · MCQ
Q5.The correct statement(s) about intermolecular forces is(are)
Chemistry · Chemical Bonding and Molecular Structure · Multiple correct
Q6.The compound(s) with P–H bond(s) is(are)
Chemistry · P Block Elements · Multiple correct
Q7.For the reaction sequence given below, the correct statement(s) is(are): Includes diagram
Chemistry · Compounds Containing Nitrogen · Multiple correct
Q8.For the reaction sequence given below, the correct statement(s) is(are) Includes diagram
Chemistry · Alcohols Phenols and Ethers · Multiple correct
Q9.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 $= 105.6 amu$ …
Chemistry · Solid State · Numerical
Q10.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 $X \times 1 0^{- 6} mol dm^{- 3}$ . The value of $X$ …
Chemistry · Ionic Equilibrium · Numerical
Q11.Adsorption of phenol from its aqueous solution on to fly ash obeys Freundlich isotherm. At a given temperature, from $10 mg g^{- 1}$ and $16 mg g^{- 1}$ aqueous phenol solutions, the concentrations of…
Chemistry · Surface Chemistry · Numerical
Q12.Consider a reaction $A + R \to$ Product. The rate of this reaction is measured to be $k [A] [R]$ . At the start of the reaction, the concentration of $R, [R]_{0}$ , is 10-times the concentration of $A, [A]_{0}$ . The reaction can be considered…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q13.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 $h$ is equal to 2.00 cm . If the…
Chemistry · Solutions · Numerical
Q14.An electrochemical cell is fueled by the combustion of butane at 1 bar and 298 K . Its cell potential is $\frac{X}{F} \times 1 0^{3}$ volts, where $F$ is the Faraday constant. The value of $X$ is …
Chemistry · Electrochemistry · Numerical
Q15.The sum of the spin only magnetic moment values (in B.M.) of $[Mn (Br)_{6}]^{3 -}$ and $[Mn (CN)_{6}]^{3 -}$ is .
Chemistry · Coordination Compounds · Numerical
Q16.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 $58.26% (w / w)$ …
Chemistry · Biomolecules · Numerical
Q17.Let $x_{0}$ be the real number such that $e^{x_{0}} + x_{0} = 0$ . For a given real number $α$ , define $g (x) = \frac{3 x e ^{x} + 3 x - α e ^{x} - α x}{3 ( e ^{x} + 1 )}$ for all real numbers $x$ . Then which one of the following statements is…
Mathematics · Limits Continuity and Differentiability · MCQ
Q18.Let ℝ denote the set of all real numbers. Then the area of the region $ \left\{ (x, y) \in \mathbb{R} \times \mathbb{R} : x > 0, y > \frac{1}{x}, 5x - 4y - 1 > 0, 4x + 4y - 17 is
Mathematics · Application of Integration · MCQ
Q19.The total number of real solutions of the equation $θ = tan^{- 1} (2 tan θ) - \frac{1}{2} sin^{- 1} (\frac{6 t a n θ}{9 + t a n ^{2} θ})$ is (Here, the inverse trigonometric functions $sin^{- 1} x$ and $\tan^{-1}…
Mathematics · Inverse Trigonometric Functions · MCQ
Q20.Let S denote the locus of the point of intersection of the pair of lines $4 x - 3 y = 12 α$ , $4 α x + 3 α y = 12$ , where $α$ varies over the set of non-zero real numbers. Let T be the tangent to S passing through the points $(p, 0)$ …
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q21.Let $I = (1001)$ and $P = (2003)$ . Let $Q = (x z y 4)$ for some non-zero real…
Mathematics · Matrices and Determinants · Multiple correct
Q22.Let $S$ denote the locus of the mid-points of those chords of the parabola $y^{2} = x$ , such that the area of the region enclosed between the parabola and the chord is $\frac{4}{3}$ . Let $R$ denote the region lying in the first…
Mathematics · Parabola · Multiple correct
Q23.Let $P (x_{1}, y_{1})$ and $Q (x_{2}, y_{2})$ be two distinct points on the ellipse $\frac{x ^{2}}{9} + \frac{y ^{2}}{4} = 1$ such that $y_{1} > 0$ , and $y_{2} > 0$ . Let $C$ denote the circle $x^{2} + y^{2} = 9$ , and $M$ be the point $(3, 0)$ .…
Mathematics · Ellipse · Multiple correct
Q24.Let ℝ denote the set of all real numbers. Let f: ℝ → ℝ be defined by $f (x) = ⎩ ⎨ ⎧ \frac{6 x + sin x}{2 x + sin x}, \frac{7}{3}, if x e q 0, if x = 0.$ Then which of the following…
Mathematics · Application of Derivatives · Multiple correct
Q25.Let $y (x)$ be the solution of the differential equation $x^{2} \frac{d y}{d x} + x y = x^{2} + y^{2}, x > \frac{1}{e}$ satisfying $y (1) = 0$ . Then the value of $2 \frac{( y ( e ) ) ^{2}}{y ( e ^{2} )}$ is .
Mathematics · Differential Equations · Numerical
Q26.Let $a_{0}, a_{1}, \dots, a_{23}$ be real numbers such that $(1 + \frac{2}{5} x)^{23} = i = 0 \sum 23 a_{i} x^{i}$ for every real number $x$ . Let $a_{r}$ be the largest among the numbers $a_{j}$ for $0 \leq j \leq 23$ . Then the…
Mathematics · Mathematical Induction and Binomial Theorem · Numerical
Q27.A factory has a total of three manufacturing units, $M_{1}, M_{2}$ , and $M_{3}$ , which produce bulbs independent of each other. The units $M_{1}, M_{2}$ , and $M_{3}$ produce bulbs in the proportions of $2 : 2 : 1$ , respectively. It is known that $20%$ …
Mathematics · Probability · Numerical
Q28.Consider the vectors $x = \overset{}{^} + 2 \overset{}{^} + 3 \hat{k}, y = 2 \overset{}{^} + 3 \overset{}{^} + \hat{k}, and z = 3 \overset{}{^} + \overset{}{^} + 2 \hat{k}$ For two distinct positive real numbers $α$ …
Mathematics · Vector Algebra · Numerical
Q29.For a non-zero complex number $z$ , let $ar g (z)$ denote the principal argument of $z$ , with $- π$ $α = ar g (n = 1 \sum 2025 (- ω)^{n})$ $T h e n t h e v a l u eo f$ \frac{3 \alpha}{\pi} $i s$ \underline{\hspace{2cm}}$.
Mathematics · Complex Numbers · Numerical
Q30.Let $R$ denote the set of all real numbers. Let $f : R \to R$ and $g : R \to (0, 4)$ be functions defined by $f (x) = lo g_{e} (x^{2} + 2 x + 4), and g (x) = \frac{4}{1 + e ^{- 2 x}}$ …
Mathematics · Functions · Numerical
Q31.Let $α = \frac{1}{s i n 6 0 ^{\circ} s i n 6 1 ^{\circ}} + \frac{1}{s i n 6 2 ^{\circ} s i n 6 3 ^{\circ}} + \dots + \frac{1}{s i n 11 8 ^{\circ} s i n 11 9 ^{\circ}}$ Then the value of $(\frac{cosec 1 ^{\circ}}{α})^{2}$ is …
Mathematics · Trigonometric Functions and Equations · Numerical
Q32.If $α = \frac{1}{2} \int 2 \frac{t a n ^{- 1} x}{2 x ^{2} - 3 x + 2} d x$ then the value of $7 tan (\frac{2 α 7}{π})$ is . (Here, the inverse trigonometric function $tan^{- 1} x$ …
Mathematics · Definite Integration · Numerical
Q33.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…
Physics · Units and Measurements · MCQ
Q34.Two co-axial conducting cylinders of same length $ℓ$ with radii $2 R$ and $2 R$ are kept, as shown in Fig. 1. The charge on the inner cylinder is $Q$ and the outer cylinder is grounded. The annular region between the cylinders is… Includes diagram
Physics · Electrostatics · MCQ
Q35.As shown in the figures, a uniform rod OO' of length l is hinged at the point O and held in place vertically between two walls using two massless springs of same spring constant. The springs are connected at the midpoint and at the top-end… Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q36.Consider a star of mass m2 kg revolving in a circular orbit around another star of mass m1 kg with m1 \gg m2. The heavier star slowly acquires mass from the lighter star at a constant rate of $γ$ kg/s. In this transfer process, there…
Physics · Gravitation · MCQ
Q37.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…
Physics · Electrostatics · Multiple correct
Q38.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 n_0 is kept… Includes diagram
Physics · Geometrical Optics · Multiple correct
Q39.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… Includes diagram
Physics · Electrostatics · Multiple correct
Q40.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…
Physics · Heat and Thermodynamics · Multiple correct
Q41.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…
Physics · Magnetism · Numerical
Q42.A hydrogen atom, initially at rest in its ground state, absorbs a photon of frequency $v_{1}$ 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…
Physics · Dual Nature of Radiation · Numerical
Q43.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 $V - T$ diagram. The volume of the gas at $Y$ and $Y$ points are, $64 cm^{3}, 125 cm^{3}$ … Includes diagram
Physics · Heat and Thermodynamics · Numerical
Q44.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…
Physics · Gravitation · Numerical
Q45.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 $\frac{3}{2}$ and 1 moles of an ideal gas,… Includes diagram
Physics · Heat and Thermodynamics · Numerical
Q46.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 $d = 2 mm$ … Includes diagram
Physics · Wave Optics · Numerical
Q47.A projectile of mass 200 g is launched in a viscous medium at an angle $6 0^{\circ}$ with the horizontal, with an initial velocity of $270 m / s$ . It experiences a viscous drag force $F = - c v$ where the drag…
Physics · Laws of Motion · Numerical
Q48.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… Includes diagram
Physics · Waves · Numerical