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2022 · 29 Jul · Shift 2

69 questions · JEE Main

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2022 · 29 Jul · Shift 2

2022 · 29 Jul · Shift 2

69 questions · JEE Main

Chemistry22 questions Mathematics21 questions Physics26 questions

Some Basic Concepts of ChemistryChemistry · 3 questions Structure of AtomChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions P Block ElementsChemistry · 2 questions D and F Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions Redox ReactionsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions SolutionsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Complex NumbersMathematics · 2 questions Matrices and DeterminantsMathematics · 3 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Definite IntegrationMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Differential EquationsMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions ProbabilityMathematics · 1 questions Vector AlgebraMathematics · 2 questions Inverse Trigonometric FunctionsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions CircleMathematics · 2 questions ElectrostaticsPhysics · 1 questions Units and MeasurementsPhysics · 1 questions CapacitorPhysics · 1 questions Current ElectricityPhysics · 2 questions MagneticsPhysics · 1 questions Motion in A Straight LinePhysics · 2 questions Alternating CurrentPhysics · 2 questions Wave OpticsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions GravitationPhysics · 1 questions Laws of MotionPhysics · 1 questions Center of MassPhysics · 1 questions Rotational MotionPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Properties of MatterPhysics · 4 questions Electromagnetic WavesPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Electronic DevicesPhysics · 1 questions

Q1.Consider the reaction $4 HNO_{3} (1) + 3 KCl (s) \to Cl_{2} (g) + NOCl (g) + 2 H_{2} O (g) + 3 KNO_{3} (s)$ The amount of $HNO_{3}$ …
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q2.Given below are the quantum numbers for 4 electrons. A. $n = 3, l = 2, m_{1} = 1, m_{s} = + 1/2$ B. $n = 4, l = 1, m_{1} = 0, m_{s} = + 1/2$ C. $n = 4, l = 2, m_{1} = - 2, m_{s} = - 1/2$ …
Chemistry · Structure of Atom · MCQ
Q3. $C (s) + O_{2} (g) \to CO_{2} (g) + 400 kJ C (s) + \frac{1}{2} O_{2} (g) \to CO (g) + 100 kJ$ …
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q4. $0.01 M HCl$ of $0.01 M HCl$ is mixed with $0.01 M H_{2} SO_{4}$ of $0.01 M H_{2} SO_{4}$ . The $pH$ of the mixture is . Given: $lo g 2 = 0.30, lo g 3 = 0.48, lo g 5 = 0.70, lo g 7 = 0.84, lo g 11 = 1.04$ …
Chemistry · Ionic Equilibrium · MCQ
Q5.In liquation process used for tin (Sn), the metal :
Chemistry · P Block Elements · MCQ
Q6.Given below are two statements. Statement I : Stannane is an example of a molecular hydride. Statement II : Stannane is a planar molecule. In the light of the above statement, choose the most appropriate answer from the options given below.
Chemistry · P Block Elements · MCQ
Q7.Which of the following $3 d$ -metal ion will give the lowest enthalpy of hydration $(Δ_{hyd} H)$ when dissolved in water ?
Chemistry · D and F Block Elements · MCQ
Q8.Octahedral complexes of copper(II) undergo structural distortion (Jahn-Teller). Which one of the given copper (II) complexes will show the maximum structural distortion? (en - ethylenediamine; $H_{2} N_{-} CH_{2} - CH_{2} - NH_{2}$ …
Chemistry · Coordination Compounds · MCQ
Q9.Correct structure of $γ$ -methylcyclohexane carbaldehyde is
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.Compound 'A' undergoes following sequence of reactions to give compound 'B'. The correct structure and chirality of compound 'B' is [where Et is $- C_{2} H_{5}]$ Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q11.Given below are two statements. Statement I : The compound is optically active. Statement II : is mirror image of above compound A. In the light of the above statement, choose the most appropriate answer from the options given below. Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q12.When ethanol is heated with conc. $H_{2} SO_{4}$ , a gas is produced. The compound formed, when this gas is treated with cold dilute aqueous solution of Baeyer's reagent, is
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.The Hinsberg reagent is
Chemistry · Compounds Containing Nitrogen · MCQ
Q14.Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Amylose is insoluble in water. Reason R: Amylose is a long linear molecule with more than 200 glucose units. In the light of…
Chemistry · Biomolecules · MCQ
Q15.A compound 'X' is a weak acid and it exhibits colour change at pH close to the equivalence point during neutralization of NaOH with $CH_{3} COOH$ . Compound 'X' exists in ionized form in basic medium. The compound 'X' is
Chemistry · Redox Reactions · MCQ
Q16.Consider, $PF_{5}, BrF_{5}, PCl_{3}, SF_{6}, [ICl_{4}]^{-}, ClF_{3}$ and $IF_{5}$ . Amongst the above molecule(s)/ion(s), the number of molecule(s)/ion(s) having $sp^{3} d^{2}$ …
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q17. $62.5 cm^{3}$ of solute A was dissolved in $62.5 cm^{3}$ of ethanol and freezing point of the solution was found to be . The molar mass of solute A is g $mol^{- 1}$ .…
Chemistry · Solutions · Numerical
Q18.For a cell, $Cu (s) Cu^{2 +} (0.001 M) ∥ Ag^{+} (0.01 M) Ag (s)$ the cell potential is found to be $298 K$ at $298 K$ . The magnitude…
Chemistry · Electrochemistry · Numerical
Q19.Assuming of trace radioactive element X with a half life of 30 years is absorbed by a growing tree. The amount of X remaining in the tree after 100 years is $\times 1 0^{- 1} μ g$ .…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q20.Sum of oxidation state (magnitude) and coordination number of cobalt in $Na [Co (bpy) Cl_{4}]$ is . Includes diagram
Chemistry · Coordination Compounds · Numerical
Q21.A 1.84 mg sample of polyhydric alcoholic compound 'X' of molar mass 92.0 g/mol gave 1.344 mL of $H_{2}$ gas at STP. The number of alcoholic hydrogens present in compound 'X' is .
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q22.The number of stereoisomers formed in a reaction of $(\pm) Ph (C = O) C (OH) (CN) Ph$ with $HCN$ is . $[$ where $Ph$ is $- C_{6} H_{5}$ …
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q23.If $z e q 0$ be a complex number such that $z - \frac{1}{z} = 2$ , then the maximum value of $∣ z ∣$ is :
Mathematics · Complex Numbers · MCQ
Q24.Which of the following matrices can NOT be obtained from the matrix $[- 1 1 2 - 1]$ by a single elementary row operation ?
Mathematics · Matrices and Determinants · MCQ
Q25.If the system of equations $x + y + z = 6 2 x + 5 y + α z = β x + 2 y + 3 z = 14$ has infinitely many solutions, then $α + β$ is equal to
Mathematics · Matrices and Determinants · MCQ
Q26. $Let the function f (x) = {\frac{l o g _{e} ( 1 + 5 x ) - l o g _{e} ( 1 + α x )}{x} 10; if x e q 0; if x = 0 be continuous at x = 0.$ Then $α$ is…
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.If $[t]$ denotes the greatest integer $\int_{0}^{1} [2 x - 3 x^{2} - 5 x + 2 + 1] d x$ , then the value of $\int_{0}^{1} [2 x - 3 x^{2} - 5 x + 2 + 1] d x$ is :
Mathematics · Definite Integration · MCQ
Q28.For $I (x) = \int \frac{s e c ^{2} x - 2022}{s i n ^{2022} x} d x$ , if $I (\frac{π}{4}) = 2^{1011}$ , then
Mathematics · Indefinite Integrals · MCQ
Q29.If the solution curve of the differential equation $\frac{d y}{d x} = \frac{x + y - 2}{x - y}$ passes through the points $(2, 1)$ and $(k + 1, 2), k > 0$ , then
Mathematics · Differential Equations · MCQ
Q30.Let $y = y (x)$ be the solution curve of the differential equation $\frac{d y}{d x} + (\frac{2 x ^{2} + 11 x + 13}{x ^{3} + 6 x ^{2} + 11 x + 6}) y = \frac{( x + 3 )}{x + 1}, x > - 1$ , which passes through the point $(0, 1)$ . Then $y (1)$ is equal to :
Mathematics · Differential Equations · MCQ
Q31.Let $m_{1}, m_{2}$ be the slopes of two adjacent sides of a square of side a such that $a^{2} + 11 a + 3 (m_{1}^{2} + m_{2}^{2}) = 220$ . If one vertex of the square is $(10 (cos α - sin α), 10 (sin α + cos α))$ ,…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q32.Let $A (α, - 2), B (α, 6)$ and $C (\frac{α}{4}, - 2)$ be vertices of a $△ ABC$ . If $(5, \frac{α}{4})$ is the circumcentre of $△ ABC$ , then…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q33.Bag I contains 3 red, 4 black and 3 white balls and Bag II contains 2 red, 5 black and 2 white balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be black in colour. Then…
Mathematics · Probability · MCQ
Q34.Let $S = {z = x + i y : ∣ z - 1 + i ∣ \geq ∣ z ∣, ∣ z ∣ < 2, ∣ z + i ∣ = ∣ z - 1∣}$ . Then the set of all values of $x$ , for which $w = 2 x + i y \in S$ for some $y \in R$ , is :
Mathematics · Complex Numbers · MCQ
Q35.Let $a, b, c$ be three coplanar concurrent vectors such that angles between any two of them is same. If the product of their magnitudes is 14 and $(a \times b) \cdot (b \times c) + (b \times c) \cdot (c \times a) + (c \times a) \cdot (a \times b) = 168$ …
Mathematics · Vector Algebra · MCQ
Q36.The domain of the function $f (x) = sin^{- 1} (\frac{x ^{2} - 3 x + 2}{x ^{2} + 2 x + 7})$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q37.Let $α, β (α > β)$ be the roots of the quadratic equation $x^{2} - x - 4 = 0.$ If $P_{n} = α^{n} - β^{n}$ , $n \in N$ , then $\frac{P _{15} P _{16} - P _{14} P _{16} - P _{15}^{2} + P _{14} P _{15}}{P _{13} P _{14}}$ is equal…
Mathematics · Quadratic Equation and Inequalities · Numerical
Q38.Let $X = 111$ and $A = - 1 00 210 36 - 1$ . For $k \in N$ , if $X^{'} A^{k} X = 33$ , then $k$ …
Mathematics · Matrices and Determinants · Numerical
Q39.The number of natural numbers lying between 1012 and 23421 that can be formed using the digits $2, 3, 4, 5, 6$ (repetition of digits is not allowed) and divisible by 55 is .
Mathematics · Permutations and Combinations · Numerical
Q40.If $[t]$ denotes the greatest integer $f (x) = 4∣2 x + 3∣ + 9 [x + \frac{1}{2}] - 12 [x + 20]$ , then the number of points, at which the function $f (x) = 4∣2 x + 3∣ + 9 [x + \frac{1}{2}] - 12 [x + 20]$ is not differentiable in the open interval $(- 20, 20)$ , is .
Mathematics · Limits Continuity and Differentiability · Numerical
Q41.Let $A B$ be a chord of length 12 of the circle $(x - 2)^{2} + (y + 1)^{2} = \frac{169}{4}$ . If tangents drawn to the circle at points $A$ and $B$ intersect at the point $P$ , then five times the distance of point $P$ from chord $A B$ is equal to …
Mathematics · Circle · Numerical
Q42.Let $a$ and $b$ be two vectors such that $∣ a + b ∣^{2} = ∣ a ∣^{2} + 2∣ b ∣^{2}, a \cdot b = 3$ and $∣ a \times b ∣^{2} = 75$ . Then $∣ a ∣^{2}$ is equal to .
Mathematics · Vector Algebra · Numerical
Q43. $Let S = {(x, y) \in N \times N : 9 (x - 3)^{2} + 16 (y - 4)^{2} \leq 144}$ and $T = {(x, y) \in R \times R : (x - 7)^{2} + (y - 4)^{2} \leq 36}$ . Then $n (S \cap T)$ is equal to …
Mathematics · Circle · Numerical
Q44.Two identical metallic spheres $A$ and $B$ when placed at certain distance in air repel each other with a force of $F$ . Another identical uncharged sphere $C$ is first placed in contact with $A$ …
Physics · Electrostatics · MCQ
Q45.Match List I with List II. Choose the correct answer from the options given below : Includes table
Physics · Units and Measurements · MCQ
Q46.Two identical thin metal plates has charge $q_{1}$ and $q_{2}$ respectively such that $q_{1} > q_{2}$ . The plates were brought close to each other to form a parallel plate capacitor of capacitance C. The potential difference between them…
Physics · Capacitor · MCQ
Q47.Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Alloys such as constantan and manganin are used in making standard resistance coils. Reason R: Constantan and manganin have…
Physics · Current Electricity · MCQ
Q48.A $X$ long wire is broken into two unequal parts $X$ and $Y$ . The $X$ part of the wire is streched into another wire W. Length of $W$ is twice the length of $X$ and the resistance of $W$ is…
Physics · Current Electricity · MCQ
Q49.A wire X of length $2 A$ carrying a current of $Y$ is placed parallel to a long wire $Y$ of length $Y$ . The wire $Y$ carries a current of $3 A$ . The distance between two wires… Includes diagram
Physics · Magnetics · MCQ
Q50.A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws n balls per second, the maximum height the balls can reach…
Physics · Motion in A Straight Line · MCQ
Q51.A circuit element $X$ when connected to an a.c. supply of peak voltage $5 A$ gives a peak current of $Y$ which is in phase with the voltage. A second element $Y$ when connected to the same a.c.…
Physics · Alternating Current · MCQ
Q52.An unpolarised light beam of intensity $2 I_{0}$ is passed through a polaroid P and then through another polaroid Q which is oriented in such a way that its passing axis makes an angle of $3 0^{\circ}$ relative to that of P. The intensity…
Physics · Wave Optics · MCQ
Q53.An $α$ particle and a proton are accelerated from rest through the same potential difference. The ratio of linear momenta acquired by above two particles will be:
Physics · Dual Nature of Radiation · MCQ
Q54.An object of mass $g = 10 ms^{- 2}$ is taken to a height from the surface of earth which is equal to three times the radius of earth. The gain in potential energy of the object will be [If, $g = 10 ms^{- 2}$ and radius of…
Physics · Gravitation · MCQ
Q55.A ball is released from a height h. If $t_{1}$ and $t_{2}$ be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between $t_{1}$ and $t_{2}$ .
Physics · Motion in A Straight Line · MCQ
Q56.Two bodies of masses $m_{1} = 5 kg$ and $m_{2} = 3 kg$ are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the… Includes diagram
Physics · Laws of Motion · MCQ
Q57.If momentum of a body is increased by 20%, then its kinetic energy increases by
Physics · Center of Mass · MCQ
Q58.The torque of a force $5 \hat{i} + 3 \hat{j} - 7 \hat{k}$ about the origin is $τ$ . If the force acts on a particle whose position vector is $2 i + 2 j + k$ , then the value of $τ$ will be
Physics · Rotational Motion · MCQ
Q59.A thermodynamic system is taken from an original state D to an intermediate state E by the linear process shown in the figure. Its volume is then reduced to the original volume from E to F by an isobaric process. The total work done by the… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q60.The root mean square speed of smoke particles of mass $5 \times 1 0^{- 17} kg$ in their Brownian motion in air at NTP is approximately. [Given $k = 1.38 \times 1 0^{- 23} JK^{- 1}$ ]
Physics · Heat and Thermodynamics · MCQ
Q61.Light enters from air into a given medium at an angle of $4 5^{\circ}$ with interface of the air-medium surface. After refraction, the light ray is deviated through an angle of $1 5^{\circ}$ from its original direction. The refractive index…
Physics · Geometrical Optics · MCQ
Q62.A tube of length $250 g$ is filled completely with an incompressible liquid of mass $x F rad s^{- 1}$ and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with a uniform angular velocity $x F rad s^{- 1}$ …
Physics · Properties of Matter · Numerical
Q63.Nearly 10% of the power of a $1 m$ light bulb is converted to visible radiation. The change in average intensities of visible radiation, at a distance of $5 m$ from the bulb to a distance of $a \times 1 0^{- 2} W / m^{2}$ is $a \times 1 0^{- 2} W / m^{2}$ …
Physics · Electromagnetic Waves · Numerical
Q64.A metal wire of length $1 0^{- 4} m^{2}$ and cross-sectional area $1 0^{- 4} m^{2}$ has breaking stress $5 \times 1 0^{8} Nm^{- 2}$ . A block of $10 kg$ is attached at one end of the string and is rotating in a…
Physics · Properties of Matter · Numerical
Q65.The velocity of a small ball of mass $8 g / cc$ and density $8 g / cc$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $1.3 g / cc$ …
Physics · Properties of Matter · Numerical
Q66.The speed of a transverse wave passing through a string of length $10 g$ and mass $60 ms^{- 1}$ is $60 ms^{- 1}$ . The area of cross-section of the wire is $2.0 mm^{2}$ and its Young's modulus is $1.2 \times 1 0^{11} Nm^{- 2}$ …
Physics · Properties of Matter · Numerical
Q67.The metallic bob of simple pendulum has the relative density 5. The time period of this pendulum is $5 x$ . If the metallic bob is immersed in water, then the new time period becomes $5 x$ s. The value of $x$ will be …
Physics · Simple Harmonic Motion · Numerical
Q68.A $R$ Zener diode along with a series resistance $R$ is connected across a $25 mA$ supply (as shown in the figure). If the maximum Zener current is $Ω$ , then the minimum value of R will be $Ω$ … Includes diagram
Physics · Electronic Devices · Numerical
Q69.A capacitor of capacitance 500 $μ$ F is charged completely using a dc supply of 100 V. It is now connected to an inductor of inductance 50 mH to form an LC circuit. The maximum current in LC circuit will be A.
Physics · Alternating Current · Numerical