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2023 · Shift 1

51 questions · JEE Advanced

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2023 · Shift 1

2023 · Shift 1

51 questions · JEE Advanced

Chemistry17 questions Mathematics17 questions Physics17 questions

Isolation of ElementsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 2 questions D and F Block ElementsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Gaseous StateChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions P Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions FunctionsMathematics · 2 questions EllipseMathematics · 1 questions Definite IntegrationMathematics · 1 questions Application of DerivativesMathematics · 1 questions ProbabilityMathematics · 1 questions ParabolaMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Application of IntegrationMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Complex NumbersMathematics · 2 questions Vector AlgebraMathematics · 1 questions Mathematical Induction and Binomial TheoremMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions StatisticsMathematics · 1 questions 3D GeometryMathematics · 1 questions Impulse and MomentumPhysics · 1 questions Geometrical OpticsPhysics · 2 questions CapacitorPhysics · 2 questions Rotational MotionPhysics · 2 questions Heat and ThermodynamicsPhysics · 3 questions GravitationPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Units and MeasurementsPhysics · 1 questions MotionPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Alternating CurrentPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions

Q1.The correct statement(s) related to processes involved in the extraction of metals is(are) :
Chemistry · Isolation of Elements · Multiple correct
Q2.In the following reactions, $P, Q, R$ , and $S$ are the major products. The correct statement(s) about $P, Q, R$ , and $S$ is(are) : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Multiple correct
Q3.Consider the following reaction scheme and choose the correct option(s) for the major products $Q$ , $R$ and $S$ . Includes diagram
Chemistry · Alcohols Phenols and Ethers · Multiple correct
Q4.In the scheme given below, $X$ and $Y$ , respectively, are Includes diagram
Chemistry · D and F Block Elements · MCQ
Q5.Plotting $1/ Λ_{m}$ against $c Λ_{m}$ for aqueous solutions of a monobasic weak acid $y$ resulted in a straight line with $y$ -axis intercept of $P$ and slope of $S$ …
Chemistry · Electrochemistry · MCQ
Q6.On decreasing the $p H$ from 7 to 2 , the solubility of a sparingly soluble salt (MX) of a weak acid (HX) increased from $1 0^{- 4} mol L^{- 1}$ to $1 0^{- 3} mol L^{- 1}$ . The $p K_{a}$ …
Chemistry · Ionic Equilibrium · MCQ
Q7.In the given reaction scheme, $P$ is a phenyl alkyl ether, $Q$ is an aromatic compound; $R$ and $S$ are the major products. The correct statement about $S$ is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q8.The stoichiometric reaction of $X$ of dimethyldichlorosilane with water results in a tetrameric cyclic product $X$ in $75%$ yield. The weight (in g) of $X$ obtained is . [Use,…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q9.A gas has a compressibility factor of 0.5 and a molar volume of $0.4 dm^{3} mol^{- 1}$ at a temperature of $x$ and pressure $x$ atm. If it shows ideal gas behaviour at the same temperature and…
Chemistry · Gaseous State · Numerical
Q10.The plot of $lo g k_{f}$ versus $1/ T$ for a reversible reaction $A (g) ⇌ P (g)$ is shown. Pre-exponential factors for the forward and backward reactions are $1 0^{15} s^{- 1}$ and $1 0^{11} s^{- 1}$ … Includes diagram
Chemistry · Chemical Equilibrium · Numerical
Q11.One mole of an ideal monoatomic gas undergoes two reversible processes $(A \to B$ and $B \to C)$ as shown in the given figure: $A \to B$ is an adiabatic process.… Includes diagram
Chemistry · Thermodynamics · Numerical
Q12.In a one-litre flask, 6 moles of $A$ undergoes the reaction $A (g) ⇌ P (g)$ . The progress of product formation at two temperatures (in Kelvin), $T_{1}$ and $T_{2}$ , is shown in the figure:… Includes diagram
Chemistry · Thermodynamics · Numerical
Q13.The total number of $s p^{2}$ hybridised carbon atoms in the major product $P$ (a non-heterocyclic compound) of the following reaction is . Includes diagram
Chemistry · Compounds Containing Nitrogen · Numerical
Q14.Match the reactions (in the given stoichiometry of the reactants) in List-I with one of their products given in List-II and choose the correct option. Includes table
Chemistry · P Block Elements · MCQ
Q15.Match the electronic configurations in List-I with appropriate metal complex ions in List-II and choose the correct option. [Atomic Number: $Fe = 26, Mn = 25, Co = 27$ ] Includes table
Chemistry · Coordination Compounds · MCQ
Q16.Match the reactions in List-I with the features of their products in List-II and choose the correct option. Includes table Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q17.The major products obtained from the reactions in List-II are the reactants for the named reactions mentioned in List-I. Match List-I with List-II and choose the correct option. Includes table
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q18.Let $S = (0, 1) \cup (1, 2) \cup (3, 4)$ and $T = {0, 1, 2, 3}$ . Then which of the following statements is(are) true?
Mathematics · Functions · Multiple correct
Q19.Let $T_{1}$ and $T_{2}$ be two distinct common tangents to the ellipse $E : \frac{x ^{2}}{6} + \frac{y ^{2}}{3} = 1$ and the parabola $P : y^{2} = 12 x$ . Suppose that the tangent $T_{1}$ touches $P$ and $E$ at the points $A_{1}$ and $A_{2}$ , respectively and the…
Mathematics · Ellipse · Multiple correct
Q20.Let $f : [0, 1] \to [0, 1]$ be the function defined by $f (x) = \frac{x ^{3}}{3} - x^{2} + \frac{5}{9} x + \frac{17}{36}$ . Consider the square region $S = [0, 1] \times [0, 1]$ . Let $G = {(x, y) \in S : y > f (x)}$ be called the green region and $R = {(x, y) \in S : y < f (x)}$ …
Mathematics · Functions · Multiple correct
Q21.Let $f : (0, 1) \to R$ be the function defined as $f (x) = n$ if $x \in [\frac{1}{n + 1}, \frac{1}{n})$ where $n \in N$ . Let $g : (0, 1) \to R$ be a function such that $x^{2} \int x \frac{1 - t}{t} d t < g (x) < 2 x$ …
Mathematics · Definite Integration · MCQ
Q22.Let $Q$ be the cube with the set of vertices ${(x_{1}, x_{2}, x_{3}) \in R^{3} : x_{1}, x_{2}, x_{3} \in {0, 1}}$ . Let $F$ be the set of all twelve lines containing the diagonals of the six faces of the cube $Q$ . Let $S$ …
Mathematics · Application of Derivatives · MCQ
Q23.Let $X = {(x, y) \in Z \times Z : \frac{x ^{2}}{8} + \frac{y ^{2}}{20} < 1$ and $y^{2} < 5 x}$ . Three distinct points $R$ and $R$ are randomly chosen from $X$ . Then the probability that $R$ and $R$ …
Mathematics · Probability · MCQ
Q24.Let $P$ be a point on the parabola $y^{2} = 4 a x$ , where $a > 0$ . The normal to the parabola at $P$ meets the $x$ -axis at a point $Q$ . The area of the triangle $P F Q$ , where $F$ is the focus of the parabola, is 120 . If the slope $m$ of the…
Mathematics · Parabola · MCQ
Q25.Let $tan^{- 1} (x) \in (- \frac{π}{2}, \frac{π}{2})$ , for $x \in R$ . Then the number of real solutions of the equation $1 + cos (2 x) = 2 tan^{- 1} (tan x)$ in the set $(- \frac{3 π}{2}, - \frac{π}{2}) \cup (- \frac{π}{2}, \frac{π}{2}) \cup (\frac{π}{2}, \frac{3 π}{2})$ …
Mathematics · Inverse Trigonometric Functions · Numerical
Q26.Let $n \geq 2$ be a natural number and $f : [0, 1] \to R$ be the function defined by $f (x) = ⎩ ⎨ ⎧ n (1 - 2 n x) 2 n (2 n x - 1) 4 n (1 - n x) \frac{n}{n - 1} (n x - 1) if 0 \leq x \leq \frac{1}{2 n} if \frac{1}{2 n} \leq x \leq \frac{3}{4 n} if \frac{3}{4 n} \leq x \leq \frac{1}{n} if \frac{1}{n} \leq x \leq 1$ …
Mathematics · Application of Integration · Numerical
Q27.Let $7 5 \dots 5 r 7$ denote the $(r + 2)$ digit number where the first and the last digits are 7 and the remaining $r$ digits are 5 . Consider the sum $S = 77 + 757 + 7557 + \dots + 7 5 \dots 5 98 7$ . If $S = \frac{7 5 \dots 5 99 7 + m}{n}$ …
Mathematics · Sequences and Series · Numerical
Q28.Let $A = {\frac{1967 + 1686 i s i n θ}{7 - 3 i c o s θ} : θ \in R}$ . If $A$ contains exactly one positive integer $n$ , then the value of $n$ is
Mathematics · Complex Numbers · Numerical
Q29.Let $P$ be the plane $3 x + 2 y + 3 z = 16$ and let $S = {α \hat{i} + β \hat{j} + γ \hat{k} : α^{2} + β^{2} + γ^{2} = 1$ and the distance of $(α, β, γ)$ from the plane $P$ is…
Mathematics · Vector Algebra · Numerical
Q30.Let $a$ and $b$ be two nonzero real numbers. If the coefficient of $x^{5}$ in the expansion of $(a x^{2} + \frac{70}{27 b x})^{4}$ is equal to the coefficient of $x^{- 5}$ in the expansion of $(a x - \frac{1}{b x ^{2}})^{7}$ , then…
Mathematics · Mathematical Induction and Binomial Theorem · Numerical
Q31.Let $γ$ and $γ$ be real numbers. Consider the following system of linear equations $x + 2 y + z = 7 x + α z = 11 2 x - 3 y + β z = γ$ Match each entry in List-I to… Includes table
Mathematics · Matrices and Determinants · MCQ
Q32.Consider the given data with frequency distribution $x_{i} f_{i} 35821131025444$ Match each entry in List-I to the… Includes table
Mathematics · Statistics · MCQ
Q33.Let $ℓ_{1}$ and $ℓ_{2}$ be the lines $r_{1} = λ (\hat{i} + \hat{j} + \hat{k})$ and $r_{2} = (\hat{j} - \hat{k}) + μ (\hat{i} + \hat{k})$ , respectively. Let $X$ be the set of all the planes $H$ that contain the line $ℓ_{1}$ . For a plane $H$ … Includes table
Mathematics · 3D Geometry · MCQ
Q34.Let $z$ be a complex number satisfying $∣ z ∣^{3} + 2 z^{2} + 4 \overset{z}{ˉ} - 8 = 0$ , where $\overset{z}{ˉ}$ denotes the complex conjugate of $z$ . Let the imaginary part of $z$ be nonzero. Match each entry in List-I to the correct entries in List-II. The correct… Includes table
Mathematics · Complex Numbers · MCQ
Q35.A slide with a frictionless curved surface, which becomes horizontal at its lower end, is fixed on the terrace of a building of height $3 h$ from the ground, as shown in the figure. A spherical ball of mass $m$ is released on the slide… Includes diagram
Physics · Impulse and Momentum · Multiple correct
Q36.A plane polarized blue light ray is incident on a prism such that there is no reflection from the surface of the prism. The angle of deviation of the emergent ray is $δ = 6 0^{\circ}$ (see Figure-1). The angle of minimum deviation for red… Includes diagram
Physics · Geometrical Optics · Multiple correct
Q37.In a circuit shown in the figure, the capacitor $C$ is initially uncharged and the key $K$ is open. In this condition, a current of $1Ω$ flows through the $1Ω$ resistor. The key is closed at time $t = t_{0}$ . Which of the… Includes diagram
Physics · Capacitor · Multiple correct
Q38.A bar of mass $M = 1.00 kg$ and length $L = 0.20 m$ is lying on a horizontal frictionless surface. One end of the bar is pivoted at a point about which it is free to rotate. A small mass $m = 0.10 kg$ is moving on…
Physics · Rotational Motion · MCQ
Q39.A container has a base of $50 cm \times 5 cm$ and height $50 cm \times 50 cm$ , as shown in the figure. It has two parallel electrically conducting walls each of area $50 cm \times 50 cm$ . The remaining… Includes diagram
Physics · Capacitor · MCQ
Q40.One mole of an ideal gas expands adiabatically from an initial state $(T_{A}, V_{0})$ to final state $(T_{f}, 5 V_{0})$ . Another mole of the same gas expands isothermally from a different initial state $(T_{B}, V_{0})$ …
Physics · Heat and Thermodynamics · MCQ
Q41.Two satellites $P$ and $Q$ are moving in different circular orbits around the Earth (radius $R$ ). The heights of $P$ and $Q$ from the Earth surface are $h_{P}$ and $h_{Q}$ ,…
Physics · Gravitation · MCQ
Q42.A Hydrogen-like atom has atomic number $Z$ . Photons emitted in the electronic transitions from level $n = 4$ to level $n = 3$ in these atoms are used to perform photoelectric effect experiment on a target metal. The maximum kinetic energy of…
Physics · Dual Nature of Radiation · Numerical
Q43.An optical arrangement consists of two concave mirrors $M_{1}$ and $M_{2}$ , and a convex lens $L$ with a common principal axis, as shown in the figure. The focal length of $L$ is $M_{1}$ . The radii of curvature of $M_{1}$ and $M_{2}$ … Includes diagram
Physics · Geometrical Optics · Numerical
Q44.In an experiment for determination of the focal length of a thin convex lens, the distance of the object from the lens is $10 \pm 0.1 cm$ and the distance of its real image from the lens is $20 \pm 0.2 cm$ . The error in…
Physics · Units and Measurements · Numerical
Q45.A closed container contains a homogeneous mixture of two moles of an ideal monatomic gas $(γ = 5/3)$ and one mole of an ideal diatomic gas $(γ = 7/5)$ . Here, $γ$ is the ratio of the specific heats at constant pressure and…
Physics · Heat and Thermodynamics · Numerical
Q46.A person of height $4 m$ is walking away from a lamp post of height $60 cm s^{- 1}$ along a straight path on the flat ground. The lamp post and the person are always perpendicular to the ground. If the speed of the person is $60 cm s^{- 1}$ …
Physics · Motion · Numerical
Q47.Two point-like objects of masses $30 gm$ and $10 cm$ are fixed at the two ends of a rigid massless rod of length $10 cm$ . This system is suspended vertically from a rigid ceiling using a thin wire attached to… Includes diagram
Physics · Rotational Motion · Numerical
Q48.List-I shows different radioactive decay processes and List-II provides possible emitted particles. Match each entry in List-I with an appropriate entry from List-II, and choose the correct option. Includes table
Physics · Atoms and Nuclei · MCQ
Q49.Match the temperature of a black body given in List-I with an appropriate statement in List-II, and choose the correct option. [Given: Wien's constant as $2.9 \times 1 0^{- 3} m - K$ and $\frac{h c}{e} = 1.24 \times 1 0^{- 6} V - m$ … Includes table
Physics · Heat and Thermodynamics · MCQ
Q50.A series LCR circuit is connected to a $45 sin (ω t)$ Volt source. The resonant angular frequency of the circuit is $1 0^{5} rad s^{- 1}$ and current amplitude at resonance is $I_{0}$ . When the angular frequency of the… Includes table
Physics · Alternating Current · MCQ
Q51.A thin conducting rod $M N$ of mass $25 cm$ , length $10 Ω$ and resistance $10 Ω$ is held on frictionless, long, perfectly conducting vertical rails as shown in the figure. There is a uniform magnetic field $B_{0} = 4 T$ … Includes table Includes diagram
Physics · Electromagnetic Induction · MCQ