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2012 · Shift 2

60 questions · JEE Advanced

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2012 · Shift 2

2012 · Shift 2

60 questions · JEE Advanced

Chemistry20 questions Mathematics20 questions Physics20 questions

Isolation of ElementsChemistry · 1 questions ElectrochemistryChemistry · 2 questions SolutionsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 5 questions Coordination CompoundsChemistry · 1 questions P Block ElementsChemistry · 4 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ThermodynamicsChemistry · 2 questions D and F Block ElementsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Surface ChemistryChemistry · 1 questions Permutations and CombinationsMathematics · 2 questions 3D GeometryMathematics · 2 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 2 questions Definite IntegrationMathematics · 1 questions Application of DerivativesMathematics · 3 questions Properties of TriangleMathematics · 1 questions CircleMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions FunctionsMathematics · 1 questions Rotational MotionPhysics · 6 questions ElectrostaticsPhysics · 1 questions CapacitorPhysics · 1 questions WavesPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions Properties of MatterPhysics · 1 questions GravitationPhysics · 1 questions MagnetismPhysics · 2 questions Atoms and NucleiPhysics · 2 questions Geometrical OpticsPhysics · 2 questions Alternating CurrentPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions

Q1.In the cyanide extraction process of silver from argentite ore, the oxidising and reducing agents used are
Chemistry · Isolation of Elements · MCQ
Q2.The electrochemical cell shown below is a concentration cell. M | $M^{2 +}$ (saturated solution of a sparingly soluble salt, $M X_{2}$ ) || $M^{2 +}$ (0.001 mol dm–3) | M The emf of the cell depends on the difference in concentrations of…
Chemistry · Electrochemistry · MCQ
Q3.The electrochemical cell shown below is a concentration cell. M | $M^{2 +}$ (saturated solution of a sparingly soluble salt, $M X_{2}$ ) || $M^{2 +}$ (0.001 mol dm–3) | M The emf of the cell depends on the difference in concentrations of…
Chemistry · Electrochemistry · MCQ
Q4.For a dilute solution containing 2.5 g of a non-volatile non-electrolyte solute in 100 g of water. the elevation in boiling point at 1 atm pressure is 2oC. Assuming concentration of solute is much lower than the concentration of solvent,…
Chemistry · Solutions · MCQ
Q5.The major product H of the given reaction sequence is $C H_{3} - C H_{2} - C O - C H_{3} \overline{C} N G H e a t ⟶ 95% H_{2} S O_{4} H$
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q6. $N i C l_{2} {P (C_{2} H_{5})_{2} (C_{6} H_{5})}_{2}$ exhibits temperature-dependent magnetic behaviour (paramagnetic/diamagnetic). The coordination geometries of $N i^{2 +}$ in the paramagnetic and diamagnetic states are, respectively,
Chemistry · Coordination Compounds · MCQ
Q7.The reaction of white phosphorous with aqueous NaOH gives phosphine along with another phosphorus containing compound. The reaction type; the oxidation states of phosphorus in phosphine and the other product are, respectively,
Chemistry · P Block Elements · MCQ
Q8.The shape of $X e O_{2} F_{2}$ molecule is
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q9.The compound that undergoes decarboxylation most readily under mild condition is
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.Using the data provided, calculate the multiple bond energy (kJ mol -1) of a C≡C bond in $C_{2} H_{2}$ . That energy is (take the bond energy of C-H bond as 350 kJ mol -1). $2 C (s) + H_{2} (g) \to C_{2} H_{2} 2 C (s) \to 2 C (g) H_{2} (g) \to 2 H (g) Δ H = 225 kJ mol^{- 1} Δ H = 1410 kJ mol^{- 1} Δ H = 330 kJ mol^{- 1}$ …
Chemistry · Thermodynamics · MCQ
Q11.In the following reaction sequence, the compound J is an intermediate. J( $C_{9} H_{8} O_{2}$ ) gives effervescence on treatment with $N a H C O_{3}$ and a positive Baeyer's test.The compound I is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q12.In the following reaction sequence, the compound J is an intermediate. J( $C_{9} H_{8} O_{2}$ ) gives effervescence on treatment with $N a H C O_{3}$ and a positive Baeyer's test.The compound K is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q13.Bleaching powder and bleach solution are produced on a large scale and used in several household products. The effectiveness of bleach solution is often measured by iodometry.Bleaching powder contains a salt of an oxoacid as one of its…
Chemistry · P Block Elements · MCQ
Q14.Bleaching powder and bleach solution are produced on a large scale and used in several household products. The effectiveness of bleach solution is often measured by iodometry.25 mL of household bleach solution was mixed with 30 mL of 0.50…
Chemistry · P Block Elements · MCQ
Q15.The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the following statement(s) is(are) correct? Includes diagram
Chemistry · Thermodynamics · Multiple correct
Q16.For the given aqueous reactions, which of the statement(s) is(are) true? Includes diagram
Chemistry · D and F Block Elements · Multiple correct
Q17.With reference to the scheme given, which of the given statement(s) about T, U, V and W is(are) correct? Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Multiple correct
Q18.Which of the given statement(s) about N, O, P and Q with respect to M is(are) correct? Includes diagram
Chemistry · Basics of Organic Chemistry · Multiple correct
Q19.With respect to graphite and diamond, which of the statement(s) given below is(are) correct?
Chemistry · P Block Elements · Multiple correct
Q20.The given graphs/data I, II, III and IV represent general trends observed for different physisorption and chemisorption processes under mild conditions of temperature and pressure. Which of the following choice(s) about I, II, III and IV… Includes diagram
Chemistry · Surface Chemistry · Multiple correct
Q21.Let $a_{n}$ denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0.Let $b_{n}$ = the number of such n-digit integers ending with digit 1 and $c_{n}$ =the…
Mathematics · Permutations and Combinations · MCQ
Q22.If the straight lines $\frac{x - 1}{2} = \frac{y + 1}{k} = \frac{z}{2}$ and $\frac{x + 1}{5} = \frac{y + 1}{2} = \frac{z}{k}$ are coplanar, then the plane (s) containing these two lines is (are)
Mathematics · 3D Geometry · Multiple correct
Q23.The equation of a plane passing through the line of intersection of the planes $x + 2 y + 3 z = 2$ and $x - y + z = 3$ and at a distance $\frac{2}{3}$ from the point $(3, 1, - 1)$ is
Mathematics · 3D Geometry · MCQ
Q24.If $a$ and $b$ are vectors such that $a + b = 29$ and $a \times (2 i + 3 j + 4 k) = (2 i + 3 j + 4 k) \times b,$ …
Mathematics · Vector Algebra · MCQ
Q25.Let $X$ and $Y$ be two events such that $P (X ∣ Y) = \frac{1}{2}, P (Y ∣ X) = \frac{1}{3}$ and $P (X \cap Y) = \frac{1}{6} .$ Which of the following is (are) correct ?
Mathematics · Probability · Multiple correct
Q26.Four fair dice $D_{1}, D_{2}, D_{3}$ and $D_{4}$ ; each having six faces numbered $1, 2, 3, 4, 5$ and $6$ are rolled simultaneously. The probability that $D_{4}$ shows a number appearing on one of $D_{1}, D_{2}$ and $D_{3}$ is
Mathematics · Probability · MCQ
Q27.The value of the integral $- π /2 \int π /2 (x^{2} + 1 n \frac{π + x}{π - x}) cos x d x$ is
Mathematics · Definite Integration · MCQ
Q28.Let $f (x) = (1 - x)^{2} sin^{2} x + x^{2}$ for all $x \in I R$ and let $g (x) = 1 \int x (\frac{2 ( t - 1 )}{t + 1} - I n t) f (t) d t$ for…
Mathematics · Application of Derivatives · MCQ
Q29.Let $f (x) = (1 - x)^{2} sin^{2} x + x^{2}$ for all $x \in I R$ and let $g (x) = 1 \int x (\frac{2 ( t - 1 )}{t + 1} - I n t) f (t) d t$ for…
Mathematics · Application of Derivatives · MCQ
Q30.If $f (x) = \int_{0}^{x} e^{t^{2}} (t - 2) (t - 3) d t$ for all $x \in (0, \infty),$ then
Mathematics · Application of Derivatives · Multiple correct
Q31.Let $P QR$ be a triangle of area $Δ$ with $a = 2$ , $b = \frac{7}{2}$ and $c = \frac{5}{2}$ ; where $a, b,$ and $c$ are the lengths of the sides of the triangle opposite to the angles at $P . Q$ and $R$ respectively. Then $\frac{2 s i n P - s i n 2 P}{2 s i n P + s i n 2 P}$ …
Mathematics · Properties of Triangle · MCQ
Q32.A tangent PT is drawn to the circle $x^{2} + y^{2} = 4$ at the point P $(3, 1)$ . A straight line L, perpendicular to PT is a tangent to the circle $(x - 3)^{2}$ + $y^{2}$ = 1 A common tangent of the two circles is
Mathematics · Circle · MCQ
Q33.A tangent PT is drawn to the circle $x^{2} + y^{2} = 4$ at the point P $(3, 1)$ . A straight line L, perpendicular to PT is a tangent to the circle $(x - 3)^{2}$ + $y^{2}$ = 1. A possible equation of L is
Mathematics · Circle · MCQ
Q34.Let $a_{1}, a_{2}, a_{3}, .....$ be in harmonic progression with $a_{1} = 5$ and $a_{20} = 25.$ The least positive integer $n$ for which $a_{n} < 0$ is
Mathematics · Sequences and Series · MCQ
Q35.Let $a_{n}$ denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0.Let $b_{n}$ = the number of such n-digit integers ending with digit 1 and $c_{n}$ =the…
Mathematics · Permutations and Combinations · MCQ
Q36.If P is a 3 $\times$ 3 matrix such that PT = 2P + I, where PT is the transpose of P and I is the 3 $\times$ 3 identity matrix, then there exists a column matrix $X = x y z e 000$ …
Mathematics · Matrices and Determinants · MCQ
Q37.Let $α$ (a) and $β$ (a) be the roots of the equation $(3 1 + a - 1) x^{2} + (1 + a - 1) x + (6 1 + a - 1) = 0$ where $a > - 1$ . Then $a \to 0^{+} lim α (a)$ and $a \to 0^{+} lim β (a)$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q38.For every integer n, let an and bn be real numbers. Let function f : R $\to$ R be given by $f (x) = {a_{n} + sin π x, b_{n} + cos π x, f or x \in [2 n, 2 n + 1] f or x \in (2 n - 1, 2 n)$ …
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q39.If the ad joint of a 3 $\times$ 3 matrix P is $121411473$ , then the possible value(s) of the determinant of P is(are)
Mathematics · Matrices and Determinants · Multiple correct
Q40.Let $f : (- 1, 1) \to R$ be such that $f (cos 4 θ) = \frac{2}{2 - s e c ^{2} θ}$ for $θ \in (0, \frac{π}{4}) \cup (\frac{π}{4}, \frac{π}{2})$ . Then the value(s) of $f (\frac{1}{3})$ …
Mathematics · Functions · Multiple correct
Q41.Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular speed $ω$ . The discs are in the same horizontal plane. At time t = 0, the points P and Q are facing each other as… Includes diagram
Physics · Rotational Motion · MCQ
Q42.Six point charges are kept at the vertices of a regular hexagon of side $L$ and center $O,$ as shown in the figure. Given that $K = \frac{1}{4 π ε _{0}} \frac{q}{L ^{2}},$ which of the following statement(s) is (are) correct… Includes diagram
Physics · Electrostatics · Multiple correct
Q43.In the given circuit, a charge of $+ 80 μ C$ is given to the upper plate of the $4 μ F$ capacitor. Then in the steady state, the charge on the upper plate of the $3 μ F$ capacitor is Includes diagram
Physics · Capacitor · MCQ
Q44.A student is performing the experiment of resonance Column. The diameter of the column tube is 4 cm. The frequency of the tuning fork is 512 Hz. The air temperature is 38oC in which the speed of sound is 336 m/s. The zero of the meter…
Physics · Waves · MCQ
Q45.Two moles of ideal helium gas are in a rubber balloon at 30oC. The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to 35oC. The amount of…
Physics · Heat and Thermodynamics · MCQ
Q46.A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If $ρ_{c}$ is the relative density of the material of the shell with respect to water,…
Physics · Properties of Matter · MCQ
Q47.Two spherical planets P and Q have the same uniform density r, masses MP and MQ and surface areas A and 4A respectively. A spherical planet R also has uniform density r and its mass is (MP + MQ). The escape velocities from the planets P, Q…
Physics · Gravitation · Multiple correct
Q48.The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed $ω$ and (ii) an inner disc of radius 2R rotating anti-clockwise with angular speed $\frac{ω}{2}$ … Includes diagram
Physics · Rotational Motion · Multiple correct
Q49.Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has most of its mass…
Physics · Rotational Motion · Multiple correct
Q50.Consider a disc rotating in the horizontal plane with a constant angular speed $ω$ about its centre O. The disc has a shaded region on one side of the diameter and an unshaded region on the other side as shown in the figure. When the… Includes diagram
Physics · Rotational Motion · MCQ
Q51.A loop carrying current $l$ lies in the xy-plane as shown in the figure. The unit vector $k$ is coming out of the plane of the paper. The magnetic moment of the current loop is Includes diagram
Physics · Magnetism · MCQ
Q52.An infinite long hollow conducting cylinder with inner radius R/2 and outer radius R carries a uniform current density along its length. The magnitude of the magnetic field, $B$ as a function of the…
Physics · Magnetism · MCQ
Q53.The general motion of a rigid body can be considered to be a combination of (i) a motion of its centre of mass about an axis, and (ii) its motion about an instantaneous axis passing through the centre of mass. These axes need not be… Includes diagram
Physics · Rotational Motion · MCQ
Q54.The general motion of a rigid body can be considered to be a combination of (i) a motion of its centre of mass about an axis, and (ii) its motion about an instantaneous axis passing through the centre of mass. These axes need not be… Includes diagram
Physics · Rotational Motion · MCQ
Q55.The $β$ -decay process, discovered in around 1900, is basically the decay of a neutron (n). In the laboratory, a proton (p) and an electron (e $-$ ) are observed as the decay products of the neutron. Therefore, considering the decay of a…
Physics · Atoms and Nuclei · MCQ
Q56.The $β$ -decay process, discovered in around 1900, is basically the decay of a neutron (n). In the laboratory, a proton (p) and an electron (e $-$ ) are observed as the decay products of the neutron. Therefore, considering the decay of a…
Physics · Atoms and Nuclei · MCQ
Q57.Most materials have the refractive index, n > 1. So, when a light ray from air enters a naturally occurring material, then by Snell's law, $\frac{s i n θ _{1}}{s i n θ _{2}} = \frac{n _{2}}{n _{1}}$ , it is understood…
Physics · Geometrical Optics · MCQ
Q58.Most materials have the refractive index, n > 1. So, when a light ray from air enters a naturally occurring material, then by Snell's law, $\frac{s i n θ _{1}}{s i n θ _{2}} = \frac{n _{2}}{n _{1}}$ , it is understood…
Physics · Geometrical Optics · MCQ
Q59.In the given circuit, the AC source has $ω$ = 100 rad/s. Considering the inductor and capacitor to be ideal, the correct choice(s) is(are) Includes diagram
Physics · Alternating Current · Multiple correct
Q60.A current carrying infinitely long wire is kept along the diameter of a circular wire loop, without touching it, the correct statement(s) is(are)
Physics · Electromagnetic Induction · Multiple correct