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2017 · Shift 1

54 questions · JEE Advanced

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2017 · Shift 1

2017 · Shift 1

54 questions · JEE Advanced

Chemistry18 questions Mathematics18 questions Physics18 questions

P Block ElementsChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions ThermodynamicsChemistry · 1 questions Coordination CompoundsChemistry · 2 questions ElectrochemistryChemistry · 1 questions Solid StateChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Basics of Organic ChemistryChemistry · 3 questions SolutionsChemistry · 1 questions Structure of AtomChemistry · 3 questions ProbabilityMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 3 questions Complex NumbersMathematics · 1 questions HyperbolaMathematics · 3 questions Matrices and DeterminantsMathematics · 2 questions ParabolaMathematics · 2 questions Sequences and SeriesMathematics · 1 questions EllipseMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Application of DerivativesMathematics · 3 questions MagnetismPhysics · 3 questions WavesPhysics · 2 questions Work Power and EnergyPhysics · 1 questions Properties of MatterPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions Alternating CurrentPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Atoms and NucleiPhysics · 2 questions Heat and ThermodynamicsPhysics · 3 questions Rotational MotionPhysics · 1 questions

Q1.The color of the $X_{2}$ molecules of group $17$ elements changes gradually from yellow to violet down the group. This is due to
Chemistry · P Block Elements · Multiple correct
Q2.Columns 1, 2 and 3 contain starting materials, reaction conditions, and type of reactions, respectively. For the synthesis of benzoic acid, the only CORRECT combination is Includes table
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3.The correct statement(s) about the oxoacids, $H C l O_{4}$ and $H C l O$ is (are)
Chemistry · P Block Elements · Multiple correct
Q4.An ideal gas is expanded from $(p_{1}, V_{1}, T_{1})$ to $(p_{2}, V_{2}, T_{2})$ under different conditions. The correct statement(s) among the following is (are)
Chemistry · Thermodynamics · Multiple correct
Q5.Addition of excess aqueous ammonia to a pink colored aqueous solution of $M C l_{2}, 6 H_{2} O (X)$ and $N H_{4} C l$ gives an octahedral complex $Y$ in the presence of air. In aqueous solution, complex $Y$ behaves as $1 : 3$ …
Chemistry · Coordination Compounds · Multiple correct
Q6.The conductance of a $0.0015 M$ aqueous solution of a weak monobasic acid was determined by using a conductivity cell consisting of platinized $P t$ electrodes. The distance between the electrodes is $120 c m$ with an area of cross section of $1 c m^{2} .$ …
Chemistry · Electrochemistry · Numerical
Q7.A crystalline solid of a pure substance has a face-centered cubic structure with a cell edge of $400 p m .$ If the density of the substance in the crystal is $8 g c m^{- 3},$ then the number of atoms present in $256 g$ of the crystal is $N \times 1 0^{24} .$ …
Chemistry · Solid State · Numerical
Q8.The sum of the number of lone pairs of electrons on each central atom in the following species is $[T e B r_{6}]^{2 -}, [B r F_{2}]^{+}, S N F_{3},$ and $[X e F_{3}]^{-}$ (Atomic numbers: $N = 7, F = 9, S = 16, B r = 35, T e = 52, X e = 54$ …
Chemistry · Coordination Compounds · Numerical
Q9.Among $H_{2}, H e_{2}^{+}, L i_{2}, B e_{2}, B_{2}, C_{2}, N_{2}, O_{2}^{-}$ and $F_{2},$ the number of diamagnetic species is (Atomic numbers : $H = 1, H e = 2, L i = 3, B e = 4, B = 5, C = 6, N = 7, O = 8, F = 9$ )
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q10.Among the following, the number of aromatic compound(s) is Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q11.The correct statements(s) for the following addition reactions is (are) Includes diagram
Chemistry · Basics of Organic Chemistry · Multiple correct
Q12.For a solution formed by mixing liquids $L$ and $M,$ the vapor pressure of $L$ plotted against the mole fraction of $M$ in solution is shown in the following figure. Here $X_{L}$ and $X_{M}$ represent mole fractions of $L$ and $M,$ … Includes diagram
Chemistry · Solutions · Multiple correct
Q13.The IUPAC name(s) of the following compound is (are) Includes diagram
Chemistry · Basics of Organic Chemistry · Multiple correct
Q14.Columns 1, 2 and 3 contain starting materials, reaction conditions, and type of reactions, respectively. The only CORRECT combination in which the reaction proceeds through radical mechanism is : Includes table
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q15.Columns 1, 2 and 3 contain starting materials, reaction conditions, and type of reactions, respectively. The only CORRECT combination that gives two different carboxylic acids is : Includes table
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q16.The wave function, $ψ_{n, 1, m_{1}}$ is a mathematical function whose value depends upon spherical polar coordinates $(r, θ, ϕ)$ of the electron and characterized by the quantum numbers $m_{1}$ and $m_{1}$ . Here $r$ … Includes diagram
Chemistry · Structure of Atom · MCQ
Q17.The wave function, $ψ_{n, 1, m_{1}}$ is a mathematical function whose value depends upon spherical polar coordinates $(r, θ, ϕ)$ of the electron and characterized by the quantum numbers $m_{1}$ and $m_{1}$ . Here $r$ … Includes diagram
Chemistry · Structure of Atom · MCQ
Q18.The wave function, $ψ_{n, 1, m_{1}}$ is a mathematical function whose value depends upon spherical polar coordinates $(r, θ, ϕ)$ of the electron and characterized by the quantum numbers $m_{1}$ and $m_{1}$ . Here $r$ … Includes diagram
Chemistry · Structure of Atom · MCQ
Q19.Let X and Y be two events such that $P (X) = \frac{1}{3}$ , $P (X ∣ Y) = \frac{1}{2}$ and $P (Y ∣ X) = \frac{2}{5}$ . Then
Mathematics · Probability · Multiple correct
Q20.Let f : R $\to$ (0, 1) be a continuous function. Then, which of the following function(s) has (have) the value zero at some point in the interval (0, 1) ?
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q21.Let a, b, x and y be real numbers such that a $-$ b = 1 and y $e$ 0. If the complex number z = x + iy satisfies $Im o l imi t s (\frac{a z + b}{z + 1}) = y$ , then which of the following is(are) possible…
Mathematics · Complex Numbers · Multiple correct
Q22.If $2 x - y + 1 = 0$ is a tangent to the hyperbola $\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{16} = 1$ then which of the following CANNOT be sides of a right angled triangle?
Mathematics · Hyperbola · Multiple correct
Q23.Let [x] be the greatest integer less than or equals to x. Then, at which of the following point(s) the function $f (x) = x cos (π (x + [x]))$ is discontinuous?
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q24.Which of the following is(are) NOT the square of a 3 $\times$ 3 matrix with real entries?
Mathematics · Matrices and Determinants · Multiple correct
Q25.If a chord, which is not a tangent, of the parabola y2 = 16x has the equation 2x + y = p, and mid-point (h, k), then which of the following is(are) possible value(s) of p, h and k?
Mathematics · Parabola · Multiple correct
Q26.For a real number $α$ , if the system $1 α α^{2} α 1 α α^{2} α 1 x y z = 1 - 1 1$ …
Mathematics · Matrices and Determinants · Numerical
Q27.The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length of its smallest side?
Mathematics · Sequences and Series · Numerical
Q28.Let f : R $\to$ R be a differentiable function such that f(0) = 0, $f (\frac{π}{2}) = 3$ and f'(0) = 1. If $g (x) = x \int π /2 [f^{'} (t) cosec t - cot t cosec t f (t)] d t$ for $x \in (0, \frac{π}{2}]$ …
Mathematics · Limits Continuity and Differentiability · Numerical
Q29.For how many values of p, the circle x2 + y2 + 2x + 4y $-$ p = 0 and the coordinate axes have exactly three common points?
Mathematics · Ellipse · Numerical
Q30.Words of length 10 are formed using the letters A, B, C, D, E, F, G, H, I, J. Let x be the number of such words where no letter is repeated; and let y be the number of such words where exactly one letter is repeated twice and no other…
Mathematics · Permutations and Combinations · Numerical
Q31.By appropriately matching the information given in the three columns of the following table. Columns 1, 2 and 3 contain conics, equations of tangents to the conics and points of contact, respectively. For $a = 2$ , if a tangent is… Includes table
Mathematics · Hyperbola · MCQ
Q32.By appropriately matching the information given in the three columns of the following table. Columns 1, 2 and 3 contain conics, equations of tangents to the conics and points of contact, respectively. The tangent to a suitable conic… Includes table
Mathematics · Hyperbola · MCQ
Q33.By appropriately matching the information given in the three columns of the following table. Columns 1, 2 and 3 contain conics, equations of tangents to the conics and points of contact, respectively. If a tangent to a suitable conic… Includes table
Mathematics · Parabola · MCQ
Q34.By approximately matching the information given in the three columns of the following table. Let f(x) = x + loge x $-$ x loge x, x $\in$ (0, $\infty$ ) Column 1 contains information about zeroes of f(x), f'(x) and f"(x). Column 2 contains… Includes table
Mathematics · Application of Derivatives · MCQ
Q35.By approximately matching the information given in the three columns of the following table. Let f(x) = x + loge x $-$ x loge x, x $\in$ (0, $\infty$ ) Column 1 contains information about zeroes of f(x), f'(x) and f"(x). Column 2 contains… Includes table
Mathematics · Application of Derivatives · MCQ
Q36.By approximately matching the information given in the three columns of the following table. Let f(x) = x + loge x $-$ x loge x, x $\in$ (0, $\infty$ ) Column 1 contains information about zeroes of f(x), f'(x) and f"(x). Column 2 contains… Includes table
Mathematics · Application of Derivatives · MCQ
Q37.A charged particle (electron or proton) is introduced at the origin (x=0,y=0,z=0) with a given initial velocity $v .$ A uniform electric field $E$ and a uniform magnetic field $B$ exist… Includes table
Physics · Magnetism · MCQ
Q38.A block $M$ hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to fixed rigid support at $O .$ A transverse wave pulse (Pulse 1) of wavelength $λ_{0}$ is… Includes diagram
Physics · Waves · Multiple correct
Q39.A flat plate is moving normal to its plane through a gas under the reaction of a constant force $F .$ The gas is kept at a very low pressure. The speed of the plate $v$ is much less than the average speed u of the gas molecules. Which of…
Physics · Work Power and Energy · Multiple correct
Q40.A human body has a surface area of approximately $1 m^{2} .$ The normal body temperature is $10 K$ above the surrounding room temperature $T_{0} .$ Take the room temperature to be $T_{0} = 300 K .$ For $T_{0} = 300 K,$ the value of $σ T_{0}^{4} = 460 W m^{- 2}$ …
Physics · Properties of Matter · Multiple correct
Q41.A circular insulated copper wire loop is twisted to form two loops of area $A$ and $2 A$ as shown in the figure. At the point of crossing the wires remain electrically insulated from each other. The entire loop lies in the plane (of the… Includes diagram
Physics · Electromagnetic Induction · Multiple correct
Q42.In the circuit shown, $L = 1 μ H, C = 1 μ F$ and $R = 1 k Ω.$ They are connected in series with an a.c. source $V = V_{0} sin ω t$ as shown. Which of the following options is/are correct? Includes diagram
Physics · Alternating Current · Multiple correct
Q43.For an isosceles prism of angle $A$ and refractive index $μ$ , it is found that the angle of minimum deviation $δ_{m} = A .$ Which of the following options is/are correct?
Physics · Geometrical Optics · Multiple correct
Q44.An electron in a hydrogen atom undergoes a transition from an orbit with quantum number $n_{i}$ to another with quantum number $n_{f}$ . $V_{i}$ and $V_{f}$ are respectively the initial and final potential energies of the electron. If $\frac{V _{i}}{V _{f}} = 6.25$ …
Physics · Atoms and Nuclei · Numerical
Q45.A drop of liquid of radius $R = 1 0^{- 2} m$ having surface tension $S = \frac{0.1}{4 π} N m^{- 1}$ divides itself into $K$ identical drops. In this process the total change in the surface energy $Δ U = 1 0^{- 3} J .$ If $K = 1 0^{α}$ …
Physics · Properties of Matter · Numerical
Q46.A monochromatic light is travelling in a medium of refractive index $n = 1.6.$ It enters a stack of glass layers from the bottom side at an angle $θ = 3 0^{\circ} .$ The interfaces of the glass layers are parallel to each other. The… Includes diagram
Physics · Geometrical Optics · Numerical
Q47.A stationary source emits sound of frequency $f_{0} = 492 H z .$ The sound is reflected by a large car approaching the source with a speed of $2 m s^{- 1.}$ The reflected signal is received by the source and superposed with the original.…
Physics · Waves · Numerical
Q48. $^{131} I$ is an isotope of Iodine that $B$ decays to an isotope of Xenon with a half-life of $8$ days. A small amount of a serum labelled with $^{131} I$ is injected into the blood of a person. The activity of the amount of $^{131} I$ …
Physics · Atoms and Nuclei · Numerical
Q49.A charged particle (electron or proton) is introduced at the origin (x=0,y=0,z=0) with a given initial velocity $v .$ A uniform electric field $E$ and a uniform magnetic field $B$ exist… Includes table
Physics · Magnetism · MCQ
Q50.A charged particle (electron or proton) is introduced at the origin (x=0,y=0,z=0) with a given initial velocity $v .$ A uniform electric field $E$ and a uniform magnetic field $B$ exist… Includes table
Physics · Magnetism · MCQ
Q51.An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding $P - V$ diagram in column 3 of the table. Consider only the path from state $1$ to state $2. W$ denotes the corresponding work done on… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q52.An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding $P - V$ diagram in column 3 of the table. Consider only the path from state $1$ to state $2. W$ denotes the corresponding work done on… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q53.An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding $P - V$ diagram in column 3 of the table. Consider only the path from state $1$ to state $2. W$ denotes the corresponding work done on… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q54.A block of mass $M$ has a circular cut with a frictionless surface as shown. The block resets on the horizontal frictionless surface of a fixed table. Initially the right edge of the block is at $x = 0,$ in a co-ordinate system fixed to the… Includes diagram
Physics · Rotational Motion · Multiple correct