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2008 · Shift 1

69 questions · JEE Advanced

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2008 · Shift 1

2008 · Shift 1

69 questions · JEE Advanced

Chemistry23 questions Mathematics23 questions Physics23 questions

Structure of AtomChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 3 questions S Block ElementsChemistry · 1 questions Isolation of ElementsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions P Block ElementsChemistry · 5 questions Gaseous StateChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions SolutionsChemistry · 3 questions Complex NumbersMathematics · 3 questions 3D GeometryMathematics · 1 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 1 questions Definite IntegrationMathematics · 1 questions Application of IntegrationMathematics · 1 questions DifferentiationMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Inverse Trigonometric FunctionsMathematics · 1 questions EllipseMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions CircleMathematics · 3 questions Application of DerivativesMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Units and MeasurementsPhysics · 1 questions Current ElectricityPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions GravitationPhysics · 2 questions Impulse and MomentumPhysics · 2 questions Atoms and NucleiPhysics · 4 questions MagnetismPhysics · 1 questions Wave OpticsPhysics · 1 questions Rotational MotionPhysics · 1 questions Properties of MatterPhysics · 4 questions Laws of MotionPhysics · 2 questions

Q1.STATEMENT - 1 : The plot of atomic number (y-axis) versus number of neutrons (x-axis) for stable nuclei shows a curvature towards x-axis from the line of 45o slope as the atomic number is increased. STATEMENT - 2 : Proton-proton…
Chemistry · Structure of Atom · MCQ
Q2.Hyperconjugation involves overlapping of the following orbitals:
Chemistry · Basics of Organic Chemistry · MCQ
Q3.The major product of the following reaction is: Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q4.Aqueous solutions of Na $_{2}$ S $_{2}$ O $_{3}$ on reaction with Cl $_{2}$ gives:
Chemistry · S Block Elements · MCQ
Q5.Native silver metal forms a water soluble complex with a dilute aqueous solution of NaCN in the presence of:
Chemistry · Isolation of Elements · MCQ
Q6.Under the same reaction conditions, initial concentration of 1.386 mol dm $^{- 3}$ of a substance becomes half in 40 seconds and 20 seconds through first order and zero order kinetics, respectively. Ratio $(\frac{k _{1}}{k _{0}})$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q7.2.5 mL of $\frac{2}{5}$ M weak monoacidic base (K $_{b}$ = 1 $\times$ 10 $^{- 12}$ at 25 $^{\circ}$ C) is titrated with $\frac{2}{15}$ M HCl in water at 25 $^{\circ}$ C. The concentration of H $^{+}$ at equivalence point is (K $_{w}$ = 1 $\times$ …
Chemistry · Ionic Equilibrium · MCQ
Q8.The correct statement(s) about the compound given below is(are): Includes diagram
Chemistry · Haloalkanes and Haloarenes · Multiple correct
Q9.The correct statement(s) concerning the structures E, F and G is(are) : Includes diagram
Chemistry · Basics of Organic Chemistry · Multiple correct
Q10.A solution of colourless salt H on boiling with excess NaOH produces a non-flammable gas. The gas evolution ceases after sometime. Upon addition of Zn dust to the same solution, the gas evolution restarts. The colourless salt(s) H is(are):
Chemistry · P Block Elements · Multiple correct
Q11.A gas described by van Der Waals equation
Chemistry · Gaseous State · Multiple correct
Q12.Statement 1 : Bromobenzene upon reaction with Br $_{2}$ /Fe gives 1, 4-dibromobenzene as the major product. and Statement 2: In bromobenzene, the inductive effect of the bromo group is more dominant than the mesomeric effect in directing…
Chemistry · Haloalkanes and Haloarenes · MCQ
Q13.Statement 1 : Pb $^{4 +}$ compounds are stronger oxidising agents than Sn $^{4 +}$ compounds. and Statement 2 : The higher oxidation states for the group 14 elements are more stable for the heavier members of the group due to 'inert pair…
Chemistry · P Block Elements · MCQ
Q14.Statement 1 : For every chemical reaction at equilibrium, standard Gibbs energy of reaction is zero. and Statement 2 : At constant temperature and pressure, chemical reactions are spontaneous in the direction of decreasing Gibbs energy.
Chemistry · Chemical Equilibrium · MCQ
Q15.In the following reaction sequence, products I, J and L are formed. K represents a reagent. The structure of the product I is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q16.In the following reaction sequence, products I, J and L are formed. K represents a reagent. The structure of compounds J and K, respectively, are: Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q17.In the following reaction sequence, products I, J and L are formed. K represents a reagent. The structure of product L is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q18.There are some deposits of nitrates and phosphates in earth's crust. Nitrates are more soluble in water. Nitrates are difficult to reduce under the laboratory conditions but microbes do it easily. Ammonia forms large number of complexes…
Chemistry · P Block Elements · MCQ
Q19.There are some deposits of nitrates and phosphates in earth's crust. Nitrates are more soluble in water. Nitrates are difficult to reduce under the laboratory conditions but microbes do it easily. Ammonia forms large number of complexes…
Chemistry · P Block Elements · MCQ
Q20.There are some deposits of nitrates and phosphates in earth's crust. Nitrates are more soluble in water. Nitrates are difficult to reduce under the laboratory conditions but microbes do it easily. Ammonia forms large number of complexes…
Chemistry · P Block Elements · MCQ
Q21.Properties such as boiling point, freezing point and vapour pressure of a pure solvent change when solute molecules are added to get homogeneous solution. These are called colligative properties. Applications of colligative properties are…
Chemistry · Solutions · MCQ
Q22.Properties such as boiling point, freezing point and vapour pressure of a pure solvent change when solute molecules are added to get homogeneous solution. These are called colligative properties. Applications of colligative properties are…
Chemistry · Solutions · MCQ
Q23.Properties such as boiling point, freezing point and vapour pressure of a pure solvent change when solute molecules are added to get homogeneous solution. These are called colligative properties. Applications of colligative properties are…
Chemistry · Solutions · MCQ
Q24.Let A, B, C be three sets of complex numbers as defined below : $A = {z : Im o l imi t s z \geq 1} B = {z : ∣ z - 2 - i ∣ = 3} C = {z : Re o l imi t s (1 - i) z) = 2}$ …
Mathematics · Complex Numbers · MCQ
Q25.Let A, B, C be three sets of complex numbers as defined below : $A = {z : Im o l imi t s z \geq 1} B = {z : ∣ z - 2 - i ∣ = 3} C = {z : Re o l imi t s (1 - i) z) = 2}$ …
Mathematics · Complex Numbers · MCQ
Q26.Consider three planes $P_{1} : x - y + z = 1 P_{2} : x + y - z = 1 P_{3} : x - 3 y + 3 z = 2$ Let $L_{1}, L_{2}, L_{3}$ be the lines of intersection of the planes $P_{2}$ and $P_{3}, P_{3}$ and $P_{1}, P_{1}$ and $P_{2},$ respectively. STATEMENT - 1Z:…
Mathematics · 3D Geometry · MCQ
Q27.The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors $a, b, c$ such that $a . b = b . c = c . a = \frac{1}{2} .$ …
Mathematics · Vector Algebra · MCQ
Q28.Consider the system of equations $a x + b y = 0; c x + d y = 0,$ where $a, b, c, d$ $\in {0, 1}$ STATEMENT - 1 : The probability that the system of equations has a unique solution is $\frac{3}{8} .$ and STATEMENT - 2 : The probability…
Mathematics · Probability · MCQ
Q29.Consider the functions defined implicitly by the equation $y^{3} - 3 y + x = 0$ on various intervals in the real line. If $x \in (- \infty, - 2) \cup (2, \infty)$ , the equation implicitly defines a unique real valued differentiable function $y = f (x)$ . If $x \in (- 2, 2)$ …
Mathematics · Definite Integration · MCQ
Q30.Consider the functions defined implicitly by the equation $y^{3} - 3 y + x = 0$ on various intervals in the real line. If $x \in (- \infty, - 2) \cup (2, \infty)$ , the equation implicitly defines a unique real valued differentiable function $y = f (x)$ . If $x \in (- 2, 2)$ …
Mathematics · Application of Integration · MCQ
Q31.Consider the functions defined implicitly by the equation $y^{3} - 3 y + x = 0$ on various intervals in the real line. If $x \in (- \infty, - 2) \cup (2, \infty)$ , the equation implicitly defines a unique real valued differentiable function $y = f (x)$ . If $x \in (- 2, 2)$ …
Mathematics · Differentiation · MCQ
Q32.Let $f (x)$ be a non-constant twice differentiable function defined on $(- \infty, \infty)$ such that $f (x) = f (1 - x)$ and $f^{'} (\frac{1}{4}) = 0.$ Then,
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q33.If $0 < x < 1$ , then $1 + x^{2} [{x cos (cot^{- 1} x) + sin (cot^{- 1} x)}^{2} - 1]^{1/2} =$
Mathematics · Inverse Trigonometric Functions · MCQ
Q34.Consider the two curves $C_{1} : y^{2} = 4 x, C_{2} : x^{2} + y^{2} - 6 x + 1 = 0$ . Then,
Mathematics · Ellipse · MCQ
Q35.Let A, B, C be three sets of complex numbers as defined below $A = {z : Im o l imi t s z \geq 1} B = {z : ∣ z - 2 - i ∣ = 3} C = {z : Re o l imi t s (1 - i) z) = 2}$ …
Mathematics · Complex Numbers · MCQ
Q36.Let $S_{n} = k = 1 \sum n \frac{n}{n ^{2} + k n + k ^{2}}$ and $T_{n} = k = 0 \sum n - 1 \frac{n}{n ^{2} + k n + k ^{2}}$ for $n = 1, 2, 3, ............$ Then,
Mathematics · Sequences and Series · Multiple correct
Q37.A straight line through the vertex p of a triangle PQR intersects the side QR at the point S and the circumcircle of the triangle PQR at the point T. If S is not the centre of the circumcircle, then :
Mathematics · Straight Lines and Pair of Straight Lines · Multiple correct
Q38.A circle C of radius 1 is inscribed in an equilateral triangle PQR. The points of contact of C with the sides PQ, QR, RP are D, E, F, respectively. The line PQ is given by the equation $3 x + y - 6 = 0$ and the point D is $(\frac{3 3}{2}, \frac{3}{2})$ …
Mathematics · Circle · MCQ
Q39.A circle C of radius 1 is inscribed in an equilateral triangle PQR. The points of contact of C with the sides PQ, QR, RP are D, E, F, respectively. The line PQ is given by the equation $3 x + y - 6 = 0$ and the point D is $(\frac{3 3}{2}, \frac{3}{2})$ …
Mathematics · Circle · MCQ
Q40.A circle C of radius 1 is inscribed in an equilateral triangle PQR. The points of contact of C with the sides PQ, QR, RP are D, E, F, respectively. The line PQ is given by the equation $3 x + y - 6 = 0$ and the point D is $(\frac{3 3}{2}, \frac{3}{2})$ …
Mathematics · Circle · MCQ
Q41.Let $P (x_{1}, y_{1})$ and $Q (x_{2}, y_{2}), y_{1} < 0, y_{2} < 0,$ be the end points of the latus rectum of the ellipse $x^{2} + 4 y^{2} = 4.$ The equations of parabolas with latus rectum $P Q$ are :
Mathematics · Ellipse · Multiple correct
Q42.Let $f$ and $g$ be real valued functions defined on interval $(- 1, 1)$ such that $g^{''} (x)$ is continuous, $g (0) e 0. g^{'} (0) = 0$ , $g^{''} (0) e 0$ , and $f (x) = g (x) sin x$ …
Mathematics · Differentiation · MCQ
Q43.Let a and b be non-zero real numbers. Then, the equation $(a x^{2} + b y^{2} + c) (x^{2} - 5 x y + 6 y^{2}) = 0$ represents :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q44.Let $g (x) = \frac{( x - 1 ) ^{n}}{l o g c o s ^{m} ( x - 1 )}; 00$ , and let $p$ be the left hand derivative of $∣ x - 1∣$ at $x = 1$ . If $x \to 1^{+} lim g (x) = p$ , then
Mathematics · Limits Continuity and Differentiability · MCQ
Q45.The total number of local maxima and local minima of the function $f (x) = {(2 + x)^{3}, x^{2/3}, - 3 < x \leq - 1 - 1 < x < 2$ is
Mathematics · Application of Derivatives · MCQ
Q46.Consider the system of equations: $x - 2 y + 3 z = - 1 - x + y - 2 z = k x - 3 y + 4 z = 1$ Statement - 1 : The system of equations has no solution for $k e 3$ . and Statement - 2 : The determinant $1 - 1 1 3 - 2 4 - 1 k 1 e 0$ …
Mathematics · Matrices and Determinants · MCQ
Q47.Student I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum. They use different length of the pendulum and/or record time for different number of oscillations. The observations area… Includes table
Physics · Units and Measurements · MCQ
Q48.Figure shows three resistor configurations R1, R2 and R3 connected to 3 V battery. If the power dissipated by the configuration R1, R2 and R3 is P1, P2 and P3, respectively, then Includes diagram
Physics · Current Electricity · MCQ
Q49.Which one of the following statements is WRONG in the context of X-rays generated from a X-ray tube?
Physics · Dual Nature of Radiation · MCQ
Q50.Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is 60 $^{\circ}$ ). In the position of minimum deviation, the angle of refraction will be :
Physics · Geometrical Optics · MCQ
Q51.An ideal gas is expanding such that PT $^{2}$ = constant. The coefficient of volume expansion of the gas is
Physics · Heat and Thermodynamics · MCQ
Q52.A spherically symmetric gravitational system of particles has a mass density $ρ = {ρ_{0} 0 f or f or r \leq R r > R$ Where $ρ_{0}$ is a…
Physics · Gravitation · MCQ
Q53.Two balls, having linear momenta $p_{1} = p i$ and $p_{2} = - p i$ , undergo a collision in free space. There is no external force acting on the balls. Let $p^{'}_{1}$ and $p^{'}_{2}$ …
Physics · Impulse and Momentum · Multiple correct
Q54.Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot to choose the correct choice(s) given below. Includes diagram
Physics · Atoms and Nuclei · Multiple correct
Q55.A particle of mass m and charge q, moving with velocity v enters Region II normal to the boundary as shown in the figure. Region II has a uniform magnetic field B perpendicular to the plane of the paper. The length of the Region II is $l$ .… Includes diagram
Physics · Magnetism · Multiple correct
Q56.In a Young's double slit experiment, the separation between the two slits is d and the wavelength of the light is $λ$ . The intensity of light falling on slit 1 is four times the intensity of light falling on slit 2. Choose the…
Physics · Wave Optics · Multiple correct
Q57.STATEMENT - 1 In a Meter Bridge experiment, null point for an unknown resistance is measured. Now, the unknown resistance is put inside an enclosure maintained at a higher temperature. The null point can be obtained at the same point as…
Physics · Current Electricity · MCQ
Q58.STATEMENT - 1 An astronaut in an orbiting space station above the Earth experiences weightlessness. and STATEMENT - 2 An object moving around the Earth under the influence of Earth's gravitational force is in a state of 'free-fall'.
Physics · Gravitation · MCQ
Q59.STATEMENT - 1 : Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder…
Physics · Rotational Motion · MCQ
Q60.STATEMENT - 1 : The stream of water flowing at high speed from a garden hose pipe tends to spread line a fountain when held vertically up, but tends to narrow down when held vertically down. and STATEMENT - 2 : In any steady flow of an…
Physics · Properties of Matter · MCQ
Q61.A small spherical monoatomic ideal gas bubble $(γ = \frac{5}{3})$ is trapped inside a liquid of density $ρ_{1}$ (see figure). Assume that the bubble does not exchange any heat with the liquid. The bubble contains n… Includes diagram
Physics · Properties of Matter · MCQ
Q62.A small spherical monoatomic ideal gas bubble $(γ = \frac{5}{3})$ is trapped inside a liquid of density $ρ_{1}$ (see figure). Assume that the bubble does not exchange any heat with the liquid. The bubble contains n… Includes diagram
Physics · Properties of Matter · MCQ
Q63.A small spherical monoatomic ideal gas bubble $(γ = \frac{5}{3})$ is trapped inside a liquid of density $ρ_{1}$ (see figure). Assume that the bubble does not exchange any heat with the liquid. The bubble contains n… Includes diagram
Physics · Properties of Matter · MCQ
Q64.In a mixture of H - He $^{+}$ gas (He $^{+}$ is singly ionized He atom), H atoms and He $^{+}$ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He $^{+}$ ions (by…
Physics · Atoms and Nuclei · MCQ
Q65.In a mixture of H - He $^{+}$ gas (He $^{+}$ is singly ionized He atom), H atoms and He $^{+}$ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He $^{+}$ ions (by…
Physics · Atoms and Nuclei · MCQ
Q66.In a mixture of H - He $^{+}$ gas (He $^{+}$ is singly ionized He atom), H atoms and He $^{+}$ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He $^{+}$ ions (by…
Physics · Atoms and Nuclei · MCQ
Q67.A small block of mass M moves on a frictionless surface of an inclined plane, as shown in figure. The angle of the incline suddenly changes from 60 $^{\circ}$ to 30 $^{\circ}$ at point B. The block is initially at rest at A. Assume that… Includes diagram
Physics · Laws of Motion · MCQ
Q68.A small block of mass M moves on a frictionless surface of an inclined plane, as shown in figure. The angle of the incline suddenly changes from 60 $^{\circ}$ to 30 $^{\circ}$ at point B. The block is initially at rest at A. Assume that… Includes diagram
Physics · Laws of Motion · MCQ
Q69.A small block of mass M moves on a frictionless surface of an inclined plane, as shown in figure. The angle of the incline suddenly changes from 60 $^{\circ}$ to 30 $^{\circ}$ at point B. The block is initially at rest at A. Assume that… Includes diagram
Physics · Impulse and Momentum · MCQ