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2007 · Shift 1

66 questions · JEE Advanced

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2007 · Shift 1

2007 · Shift 1

66 questions · JEE Advanced

Chemistry22 questions Mathematics22 questions Physics22 questions

Chemical Bonding and Molecular StructureChemistry · 3 questions Isolation of ElementsChemistry · 1 questions HydrocarbonsChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions P Block ElementsChemistry · 5 questions SolutionsChemistry · 1 questions ThermodynamicsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Surface ChemistryChemistry · 1 questions ElectrochemistryChemistry · 3 questions Coordination CompoundsChemistry · 1 questions PolymersChemistry · 1 questions Gaseous StateChemistry · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Application of DerivativesMathematics · 1 questions ProbabilityMathematics · 2 questions ParabolaMathematics · 4 questions Definite IntegrationMathematics · 2 questions HyperbolaMathematics · 1 questions Vector AlgebraMathematics · 2 questions Complex NumbersMathematics · 1 questions Trigonometric Functions and EquationsMathematics · 1 questions CircleMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Sequences and SeriesMathematics · 3 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Current ElectricityPhysics · 1 questions Geometrical OpticsPhysics · 3 questions Laws of MotionPhysics · 1 questions ElectrostaticsPhysics · 2 questions CapacitorPhysics · 2 questions Atoms and NucleiPhysics · 2 questions Work Power and EnergyPhysics · 1 questions Impulse and MomentumPhysics · 1 questions Rotational MotionPhysics · 3 questions Heat and ThermodynamicsPhysics · 2 questions MotionPhysics · 1 questions GravitationPhysics · 1 questions Dual Nature of RadiationPhysics · 2 questions

Q1.The species having bond order different from that in CO is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.Among the following the paramagnetic compound is:
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q3.Extraction of zinc from zinc blende is achieved by
Chemistry · Isolation of Elements · MCQ
Q4.In the following reaction, The structure of the major 'X' is Includes diagram
Chemistry · Hydrocarbons · MCQ
Q5.The reagent(s) for the following conversion, Includes diagram
Chemistry · Hydrocarbons · MCQ
Q6.The number of structural isomers for C $_{6}$ H $_{14}$ is :
Chemistry · Basics of Organic Chemistry · MCQ
Q7.The percentage of p-character in the orbitals forming P-P bonds in P 4 is
Chemistry · P Block Elements · MCQ
Q8.When 20 g of naphthoic acid (C $_{11}$ H $_{8}$ O $_{2}$ ) is dissolved in 50 g of benzene in 50 g of benzene (K $_{f}$ = 1.72 K kg mol $^{- 1}$ ), a freezing point depression of 2 K is observed. The van't Hoff factor (i) is :
Chemistry · Solutions · MCQ
Q9.The value of log $_{10}$ K for a reaction $A ⇌ B$ is (Given : $Δ_{r} H_{298 K}^{\circ} = - 54.07$ kJ mol $^{- 1}$ , $Δ_{r} S_{298 K}^{\circ} = 10$ J K $^{- 1}$ mol $^{- 1}$ and R = 8.314 J K $^{- 1}$ mol…
Chemistry · Thermodynamics · MCQ
Q10.Statement 1 : Boron always forms covalent bond. Statement 2 : The small size of B $^{3 +}$ favours formation of covalent bond.
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q11.Statement 1 : In water, orthoboric acid behaves as a weak monobasic acid. Statement 2 : In water, orthoboric acid acts as a proton donor.
Chemistry · P Block Elements · MCQ
Q12.Statement 1 : p-Hydroxybenzoic acid has a lower boiling point than o-hydroxybenzoic acid. Statement 2 : o-Hydroxybenzoic acid has intramolecular hydrogen bonding.
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q13.Statement 1 : Micelles are formed by surfactant molecules above the critical micellar concentration (CMC). Statement 2 : The conductivity of a solution having surfactant molecules decreases sharply at the CMC.
Chemistry · Surface Chemistry · MCQ
Q14.The noble gases have closed-shell electronic configuration and are monoatomic gases under normal conditions. The low boiling points of the lighter noble gases are due to weak dispersion forces between the atoms and the absence of other…
Chemistry · P Block Elements · MCQ
Q15.The noble gases have closed-shell electronic configuration and are monoatomic gases under normal conditions. The low boiling points of the lighter noble gases are due to weak dispersion forces between the atoms and the absence of other…
Chemistry · P Block Elements · MCQ
Q16.The noble gases have closed-shell electronic configuration and are monoatomic gases under normal conditions. The low boiling points of the lighter noble gases are due to weak dispersion forces between the atoms and the absence of other…
Chemistry · P Block Elements · MCQ
Q17.Chemical reactions involve interaction of atoms and molecules. A large number of atoms/molecules (approximately 6.023 $\times$ 10 $^{23}$ ) are present in a few grams of any chemical compound varying with their atomic/molecular masses. To…
Chemistry · Electrochemistry · MCQ
Q18.Chemical reactions involve interaction of atoms and molecules. A large number of atoms/molecules (approximately 6.023 $\times$ 10 $^{23}$ ) are present in a few grams of any chemical compound varying with their atomic/molecular masses. To…
Chemistry · Electrochemistry · MCQ
Q19.Chemical reactions involve interaction of atoms and molecules. A large number of atoms/molecules (approximately 6.023 $\times$ 10 $^{23}$ ) are present in a few grams of any chemical compound varying with their atomic/molecular masses. To…
Chemistry · Electrochemistry · MCQ
Q20.Match the complexes in Column I with their properties listed in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $\times$ 4 matrix given in the ORS. Includes table
Chemistry · Coordination Compounds · MCQ
Q21.Match the chemical substances in Column I with type of polymers/type of bonds in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $\times$ 4 matrix given in the ORS. Includes table
Chemistry · Polymers · MCQ
Q22.Match gases under specified conditions listed in Column I with their properties/laws in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $\times$ 4 matrix given in the ORS. Includes table
Chemistry · Gaseous State · MCQ
Q23.Let $x^{2} - p x + r = 0$ be the roots of the equation $x^{2} - p x + r = 0$ and $\frac{α}{2}, 2 β$ be the roots of the equation $x^{2} - q x + r = 0$ . Then the value of r is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q24.Let $f (x)$ be differentiable on the interval (0, $\infty$ ) such that $f (1) = 1$ , and $t \to x lim \frac{t ^{2} f ( x ) - x ^{2} f ( t )}{t - x} = 1$ for each $x > 0$ . Then $f (x)$ is
Mathematics · Application of Derivatives · MCQ
Q25.One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated adjacent to his…
Mathematics · Probability · MCQ
Q26.The tangent to the curve $y = e^{x}$ drawn at the point ( $c, e^{c}$ ) intersects the line joining the points ( $c - 1, e^{c - 1}$ ) and ( $c + 1, e^{c + 1}$ )
Mathematics · Parabola · MCQ
Q27. $x \to \frac{π}{4} lim \frac{2 \int s e c ^{2} x f ( t ) d t}{x ^{2} - \frac{π ^{2}}{16}}$ equal
Mathematics · Definite Integration · MCQ
Q28.A hyperbola, having the transverse axis of the length $2 sin θ$ , is confocal with the ellipse $3 x^{2} + 4 y^{2} = 12$ . Then its equation is
Mathematics · Hyperbola · MCQ
Q29.The number of distinct real values of $λ$ , for which the vectors $- λ^{2} i + j + k, i - λ^{2} j + k$ and $i + j - λ^{2} k$ are…
Mathematics · Vector Algebra · MCQ
Q30.A man walks a distance of 3 units from the origin towards the north-east (N 45 $^{\circ}$ E) direction. From there, he walks a distance of 4 units towards the north-west (N 45 $^{\circ}$ W) direction to reach a point P. Then the position of P…
Mathematics · Complex Numbers · MCQ
Q31.The number of solutions of the pair of equations $2 sin^{2} θ - cos 2 θ = 02 cos^{2} θ - 3 sin θ = 0$ in the interval $[0, 2 π]$ is
Mathematics · Trigonometric Functions and Equations · MCQ
Q32.Let H $_{1}$ , H $_{2}$ , ..., H $_{n}$ be mutually exclusive and exhaustive events with P(H $_{i}$ ) > 0, i = 1, 2, ..., n. Let E be any other event with 0 Statement 1 : P(H $_{i}$ | E) > P(E | H $_{i}$ ). P(H $_{i}$ ) for $i = 1, 2, ..., n$ . Statement 2 :…
Mathematics · Probability · MCQ
Q33.Tangents are drawn from the point (17, 7) to the circle $x^{2} + y^{2} = 169$ . Statement 1 : The tangents are mutually perpendicular. Statement 2 : The locus of the points from which mutually perpendicular tangents can be drawn to the given circle…
Mathematics · Circle · MCQ
Q34.Let the vector $P Q, QR, R S, S T, T U$ and $U P$ , represent the sides of a regular hexagon. Statement 1 : $P Q \times (R S + S T) e 0$ …
Mathematics · Vector Algebra · MCQ
Q35.Let F(x) be an indefinite integral of $sin^{2} x$ . Statement 1 : The function F(x) satisfies F( $x + π$ ) = F( $x$ ) for all real x. Statement 2 : $sin^{2} (x + π) = sin^{2} x$ for all real x.
Mathematics · Inverse Trigonometric Functions · MCQ
Q36.Let V $_{r}$ denote the sum of the first r terms of an arithmetic progression (A.P.) whose first term is r and the common difference is ( $2 r - 1$ ). Let $T_{r} = V_{r + 1} - V_{r} - 2$ and $Q_{r} = T_{r + 1} - T_{r}$ for r = 1, 2, ...The…
Mathematics · Sequences and Series · MCQ
Q37.Let V $_{r}$ denote the sum of the first r terms of an arithmetic progression (A.P.) whose first term is r and the common difference is ( $2 r - 1$ ). Let $T_{r} = V_{r + 1} - V_{r} - 2$ and $Q_{r} = T_{r + 1} - T_{r}$ for r = 1, 2, ...T $_{r}$ …
Mathematics · Sequences and Series · MCQ
Q38.Let V $_{r}$ denote the sum of the first r terms of an arithmetic progression (A.P.) whose first term is r and the common difference is ( $2 r - 1$ ). Let $T_{r} = V_{r + 1} - V_{r} - 2$ and $Q_{r} = T_{r + 1} - T_{r}$ for r = 1, 2, ...Which…
Mathematics · Sequences and Series · MCQ
Q39.Consider the circle $x^{2} + y^{2} = 9$ and the parabola $y^{2} = 8 x$ . They intersect at P and Q in the first and the fourth quadrants, respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents to the parabola…
Mathematics · Parabola · MCQ
Q40.Consider the circle $x^{2} + y^{2} = 9$ and the parabola $y^{2} = 8 x$ . They intersect at P and Q in the first and the fourth quadrants, respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents to the parabola…
Mathematics · Parabola · MCQ
Q41.Consider the circle $x^{2} + y^{2} = 9$ and the parabola $y^{2} = 8 x$ . They intersect at P and Q in the first and the fourth quadrants, respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents to the parabola…
Mathematics · Parabola · MCQ
Q42.Consider the following linear equations $a x + b y + cz = 0$ $b x + cy + a z = 0$ $c x + a y + b z = 0$ Match the conditions/expressions in Column I with statements in Column II. Includes table
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q43.In the following [x] denotes the greatest integer less than or equal to x. Match the functions in Column I with the properties Column II. Includes table
Mathematics · Limits Continuity and Differentiability · MCQ
Q44.Match the integrals in Column I with the values in Column II. Includes table
Mathematics · Definite Integration · MCQ
Q45.A resistance of 2 $Ω$ is connected across one gap of a metre-bridge (the length of the wire is 100 cm) and an unknown resistance, greater than 2 $Ω$ , is connected across the other gap. When these resistance are interchanged, the…
Physics · Current Electricity · MCQ
Q46.In an experiment to determine the focal length (f) of a concave mirror by the u-v method, a student places the object pin A on the principal axis at a distance x form the pole P. The student looks at the pin and its inverted image form a…
Physics · Geometrical Optics · MCQ
Q47.Two particles of mass m each are tied at the ends of a light string of length 2a. The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance 'a' form the centre P (as shown… Includes diagram
Physics · Laws of Motion · MCQ
Q48.A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinder are initially electrically neutral.
Physics · Electrostatics · MCQ
Q49.Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then,
Physics · Electrostatics · MCQ
Q50.A circuit is connected as shown in the figure with the switch S open. When the switch is closed, the total amount of charge that flows from Y to X is Includes diagram
Physics · Capacitor · MCQ
Q51.A ray of light travelling in water in incident on its surface open to air. The angle of incidence is $θ$ , which is less than the critical angle. Then there will be
Physics · Geometrical Optics · MCQ
Q52.In the option given below, let E denote the rest mass energy of a nucleus and n a neutron. The correct option is
Physics · Atoms and Nuclei · MCQ
Q53.The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 nm. The smallest wavelength in the infrared region of the hydrogen spectrum (to the nearest integer) is
Physics · Atoms and Nuclei · MCQ
Q54.Statement 1 : A block of mass m starts moving on a rough horizontal surface with a velocity v. It stops due to friction between the block and the surface after moving through a certain distance. The surface is now tilted to an angle of 30 $^{\circ}$ …
Physics · Work Power and Energy · MCQ
Q55.Statement 1 : In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. Statement 2 : In an elastic collision, the linear momentum of the system is…
Physics · Impulse and Momentum · MCQ
Q56.Two discs $A$ and $B$ are mounted coaxially on a vertical axle. The discs have moment of inertia $I$ and $2 I$ respectively about the common axis. Disc $A$ is imparted an initial angular velocity $2 ω$ using the entire potential…
Physics · Rotational Motion · MCQ
Q57.Two discs $A$ and $B$ are mounted coaxially on a vertical axle. The discs have moment of inertia $I$ and $2 I$ respectively about the common axis. Disc $A$ is imparted an initial angular velocity $2 ω$ using the entire potential…
Physics · Rotational Motion · MCQ
Q58.Two discs $A$ and $B$ are mounted coaxially on a vertical axle. The discs have moment of inertia $I$ and $2 I$ respectively about the common axis. Disc $A$ is imparted an initial angular velocity $2 ω$ using the entire potential…
Physics · Rotational Motion · MCQ
Q59.A fixed thermally conducting cylinder has a radius $R$ and height $L_{0}$ . The cylinder is open at its bottom and has a small hole at its top. A piston of mass $M$ is held at a distance $L$ from the top surface, as shown in the figure. The… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q60.A fixed thermally conducting cylinder has a radius $R$ and height $L_{0}$ . The cylinder is open at its bottom and has a small hole at its top. A piston of mass $M$ is held at a distance $L$ from the top surface, as shown in the figure. The… Includes diagram
Physics · Motion · MCQ
Q61.A fixed thermally conducting cylinder has a radius $R$ and height $L_{0}$ . The cylinder is open at its bottom and has a small hole at its top. A piston of mass $M$ is held at a distance $L$ from the top surface, as shown in the figure. The… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q62.Some physical quantities are given in Column I and some possible SI units in which these quantities may be expressed are given in Column II. Match the physical quantities in Column I with the units in Column II and indicate your answer by… Includes table
Physics · Gravitation · MCQ
Q63.Column I gives certain situations in which a straight metallic wire of resistance R is used and Column II gives some resulting effects. Match the statements in Column I with the statements in Column II and indicate your answer by darkening… Includes table
Physics · Capacitor · MCQ
Q64.Some laws/processes are given in Column I. Match these with the physical phenomena given in Column II and indicate your answer by darkening appropriate bubbles in the 4 $\times$ 4 matrix given in the ORS. Includes table
Physics · Dual Nature of Radiation · MCQ
Q65.Statement 1 : The formula connecting u, v and f for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature. Statement 2 : Laws of reflection are strictly valid for plane surfaces, but…
Physics · Geometrical Optics · MCQ
Q66.Statement 1 : If the accelerating potential in an X-ray tube is increased, the wavelengths of the characteristic X-rays do not change. Statement 2 : When an electron beam strikes the target in an X-ray tube, part of the kinetic energy is…
Physics · Dual Nature of Radiation · MCQ