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2022 · 26 Jul · Shift 2

65 questions · JEE Main

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2022 · 26 Jul · Shift 2

2022 · 26 Jul · Shift 2

65 questions · JEE Main

Chemistry19 questions Mathematics20 questions Physics26 questions

Some Basic Concepts of ChemistryChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Basics of Organic ChemistryChemistry · 3 questions Alcohols Phenols and EthersChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions Redox ReactionsChemistry · 2 questions Structure of AtomChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Complex NumbersMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions ParabolaMathematics · 1 questions Application of DerivativesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions DifferentiationMathematics · 1 questions Definite IntegrationMathematics · 1 questions Differential EquationsMathematics · 2 questions CircleMathematics · 1 questions HyperbolaMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Sets and RelationsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions StatisticsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Motion in A PlanePhysics · 1 questions Units and MeasurementsPhysics · 1 questions Center of MassPhysics · 2 questions ElectrostaticsPhysics · 2 questions Electromagnetic WavesPhysics · 2 questions Geometrical OpticsPhysics · 2 questions GravitationPhysics · 1 questions Atoms and NucleiPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions WavesPhysics · 1 questions Current ElectricityPhysics · 1 questions CapacitorPhysics · 1 questions MagneticsPhysics · 1 questions Laws of MotionPhysics · 1 questions Properties of MatterPhysics · 2 questions Vector AlgebraPhysics · 1 questions Rotational MotionPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions

Q1.Hemoglobin contains $0.34%$ of iron by mass. The number of Fe atoms in $56 u, N_{A} = 6.022 \times 1 0^{23} mol^{- 1}$ of hemoglobin is (Given: Atomic mass of Fe is $56 u, N_{A} = 6.022 \times 1 0^{23} mol^{- 1}$ .)
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q2.Arrange the following in increasing order of their covalent character. A. $CaF_{2}$ B. $CaCl_{2}$ C. $CaBr_{2}$ D. $CaI_{2}$ Choose the correct answer from the options given below.
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q3.Class XII students were asked to prepare one litre of buffer solution of $pH 8.26$ by their Chemistry teacher: The amount of ammonium chloride to be dissolved by the student in $0.2 M$ ammonia solution to make one…
Chemistry · Ionic Equilibrium · MCQ
Q4.At $3 0^{\circ} C$ , the half life for the decomposition of $AB_{2}$ is $AB_{2}$ and is independent of the initial concentration of $AB_{2}$ . The time required for $80%$ of the $AB_{2}$ to…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q5.The metal complex that is diamagnetic is (Atomic number: $Fe, 26; Cu, 29)$
Chemistry · Coordination Compounds · MCQ
Q6.The correct decreasing order of priority of functional groups in naming an organic Question: compound as per IUPAC system of nomenclature is
Chemistry · Basics of Organic Chemistry · MCQ
Q7.Which of the following is not an example of benzenoid compound?
Chemistry · Basics of Organic Chemistry · Multiple correct
Q8.Hydrolysis of which compound will give carbolic acid?
Chemistry · Alcohols Phenols and Ethers · MCQ
Q9.Consider the above reaction and predict the major product. Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.The correct sequential order of the reagents for the given reaction is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q11.Animal starch is the other name of
Chemistry · Biomolecules · MCQ
Q12.Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ . Assertion A: Phenolphthalein is a $pH$ dependent indicator, remains colourless in acidic solution and…
Chemistry · Redox Reactions · MCQ
Q13.Consider an imaginary ion $_{22}^{48} X^{3 -}$ . The nucleus contains ' $a$ '% more neutrons than the number of electrons in the ion. The value of 'a' is . [nearest integer]
Chemistry · Structure of Atom · Numerical
Q14.For the reaction $H_{2} F_{2} (g) \to H_{2} (g) + F_{2} (g)$ $Δ U = - 59.6 kJ mol^{- 1}$ at $2 7^{\circ} C$ . The enthalpy change for the…
Chemistry · Thermodynamics · Numerical
Q15.The elevation in boiling point for 1 molal solution of non-volatile solute A is $A$ . The depression in freezing point for 2 molal solution of $A$ in the same solvent is 6 $K$ . The ratio of $K_{b}$ and $K_{f}$ i.e., $K_{b} / K_{f}$ …
Chemistry · Solutions · Numerical
Q16. $0.02 M$ of $0.02 M$ hypo solution is used for the titration of $Cu^{2 +}$ of copper sulphate solution, in the presence of excess of KI using starch as an indicator. The molarity of $Cu^{2 +}$ is found to…
Chemistry · Redox Reactions · Numerical
Q17.The spin-only magnetic moment value of the compound with strongest oxidizing ability among $MnF_{4}, MnF_{3}$ and $MnF_{2}$ is B.M. [nearest integer]
Chemistry · D and F Block Elements · Numerical
Q18.Total number of isomers (including stereoisomers) obtained on monochlorination of methylcyclohexane is .
Chemistry · Basics of Organic Chemistry · Numerical
Q19.A $CH_{3} CH_{2} MgBr$ solution of $CH_{3} CH_{2} MgBr$ on treatment with methanol produces of a gas at STP. The weight of gas produced is mg. [nearest integer]
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q20.The minimum value of the sum of the squares of the roots of $x^{2} + (3 - a) x + 1 = 2 a$ is:
Mathematics · Quadratic Equation and Inequalities · MCQ
Q21.If $z = x + i y$ satisfies $∣ z ∣ - 2 = 0$ and $∣ z - i ∣ - ∣ z + 5 i ∣ = 0$ , then :
Mathematics · Complex Numbers · MCQ
Q22. $Let A = 111 and B = 9^{2} 1 2^{2} - 1 5^{2} - 1 0^{2} 1 3^{2} 1 6^{2} 1 1^{2} - 1 4^{2} 1 7^{2}, then the value of A^{'} B A is:$ …
Mathematics · Matrices and Determinants · MCQ
Q23.Let $P$ and $Q$ be any points on the curves $(x - 1)^{2} + (y + 1)^{2} = 1$ and $y = x^{2}$ , respectively. The distance between $P$ and $Q$ is minimum for some value of the abscissa of $P$ in the interval :
Mathematics · Parabola · MCQ
Q24.If the maximum value of $a$ , for which the function $f_{a} (x) = tan^{- 1} 2 x - 3 a x + 7$ is non-decreasing in $(- \frac{π}{6}, \frac{π}{6})$ , is $\overset{a}{ˉ}$ , then $f_{\overset{a}{ˉ}} (\frac{π}{8})$ is equal to :
Mathematics · Application of Derivatives · MCQ
Q25.Let $β = x \to 0 lim \frac{α x - ( e ^{3 x} - 1 )}{α x ( e ^{3 x} - 1 )}$ for some $α \in R$ . Then the value of $α + β$ is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.The value of $lo g_{e} 2 \frac{d}{d x} (lo g_{c o s x} cosec x)$ at $x = \frac{π}{4}$ is
Mathematics · Differentiation · MCQ
Q27. $0 \int 20 π (∣ sin x ∣ + ∣ cos x ∣)^{2} d x is equal to$
Mathematics · Definite Integration · MCQ
Q28.Let the solution curve $y = f (x)$ of the differential equation $\frac{d y}{d x} + \frac{x y}{x ^{2} - 1} = \frac{x ^{4} + 2 x}{1 - x ^{2}}$ , $x \in (- 1, 1)$ pass through the origin. Then $- \frac{3}{2} \int \frac{3}{2} f (x) d x$ …
Mathematics · Differential Equations · MCQ
Q29.Let the abscissae of the two points $P$ and $Q$ on a circle be the roots of $x^{2} - 4 x - 6 = 0$ and the ordinates of $P$ and $Q$ be the roots of $y^{2} + 2 y - 7 = 0$ . If $PQ$ is a diameter of the circle $x^{2} + y^{2} + 2 a x + 2 b y + c = 0$ …
Mathematics · Circle · MCQ
Q30.If the line $x - 1 = 0$ is a directrix of the hyperbola $k x^{2} - y^{2} = 6$ , then the hyperbola passes through the point :
Mathematics · Hyperbola · MCQ
Q31.If $0 < x < \frac{1}{2}$ and $\frac{s i n ^{- 1} x}{α} = \frac{c o s ^{- 1} x}{β}$ , then the value of $sin (\frac{2 π α}{α + β})$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q32. $The integral \int \frac{( 1 - \frac{1}{3} ) ( c o s x - s i n x )}{( 1 + \frac{2}{3} s i n 2 x )} d x is equal to$
Mathematics · Indefinite Integrals · MCQ
Q33.The area bounded by the curves $y = x^{2} - 1$ and $y = 1$ is
Mathematics · Area Under the Curves · MCQ
Q34.Let $A = {1, 2, 3, 4, 5, 6, 7}$ and $B = {3, 6, 7, 9}$ . Then the number of elements in the set ${C \subseteq A : C \cap B e q ϕ}$ is .
Mathematics · Sets and Relations · Numerical
Q35.Numbers are to be formed between 1000 and 3000 , which are divisible by 4 , using the digits $1, 2, 3, 4, 5$ and 6 without repetition of digits. Then the total number of such numbers is .
Mathematics · Permutations and Combinations · Numerical
Q36.The mean and standard deviation of 40 observations are 30 and 5 respectively. It was noticed that two of these observations 12 and 10 were wrongly recorded. If $σ$ is the standard deviation of the data after omitting the two wrong…
Mathematics · Statistics · Numerical
Q37.Suppose $y = y (x)$ be the solution curve to the differential equation $\frac{d y}{d x} - y = 2 - e^{- x}$ such that $x \to \infty lim y (x)$ is finite. If $a$ and $b$ are respectively the $x$ - and $y$ -intercepts of the tangent to…
Mathematics · Differential Equations · Numerical
Q38.Different A.P.'s are constructed with the first term 100, the last term 199, and integral common differences. The sum of the common differences of all such A.P.'s having at least 3 terms and at most 33 terms is .
Mathematics · Sequences and Series · Numerical
Q39.The number of matrices $A = (a c b d)$ , where $a, b, c, d \in {- 1, 0, 1, 2, 3, \dots\dots, 10}$ , such that $A = A^{- 1}$ , is .
Mathematics · Matrices and Determinants · Numerical
Q40.Two projectiles are thrown with same initial velocity making an angle of $4 5^{\circ}$ and $3 0^{\circ}$ with the horizontal respectively. The ratio of their respective ranges will be :
Physics · Motion in A Plane · MCQ
Q41.In a Vernier Calipers, 10 divisions of Vernier scale is equal to the 9 divisions of main scale. When both jaws of Vernier calipers touch each other, the zero of the Vernier scale is shifted to the left of zero of the main scale and $4^{th}$ …
Physics · Units and Measurements · MCQ
Q42.A ball of mass $12 ms^{- 1}$ hits the wall with its initial speed of $12 ms^{- 1}$ and bounces back without changing its initial speed. If the force applied by the wall on the ball during the contact is $100 N$ ,…
Physics · Center of Mass · MCQ
Q43.A body of mass $2 kg$ and another of mass $2 kg$ are moving with equal kinetic energy. The ratio of their respective momentum will be :
Physics · Center of Mass · MCQ
Q44.Two uniformly charged spherical conductors $A$ and $B$ of radii $10 mm$ and $2 cm$ are separated by a distance of $2 cm$ . If the spheres are connected by a conducting wire, then in equilibrium condition, the…
Physics · Electrostatics · MCQ
Q45.The oscillating magnetic field in a plane electromagnetic wave is given by $B_{y} = 5 \times 1 0^{- 6} sin 1000 π (5 x - 4 \times 1 0^{8} t) T$ . The amplitude of electric field will be :
Physics · Electromagnetic Waves · MCQ
Q46.Light travels in two media $M_{1}$ and $M_{2}$ with speeds $1.5 \times 1 0^{8} ms^{- 1}$ and $2.0 \times 1 0^{8} ms^{- 1}$ respectively. The critical angle between them is :
Physics · Geometrical Optics · MCQ
Q47.A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be : (Take radius of earth $= 6400 km$ and $g = 10 ms^{- 2}$ …
Physics · Gravitation · MCQ
Q48.A nucleus of mass $M$ at rest splits into two parts having masses $\frac{M ^{'}}{3}$ and $\frac{2 M ^{'}}{3} (M^{'} < M)$ . The ratio of de Broglie wavelength of two parts will be :
Physics · Atoms and Nuclei · MCQ
Q49.An ice cube of dimensions $60 cm \times 50 cm \times 20 cm$ is placed in an insulation box of wall thickness $0^{\circ} C$ . The box keeping the ice cube at $0^{\circ} C$ of temperature is brought…
Physics · Heat and Thermodynamics · MCQ
Q50.A gas has $n$ degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be :
Physics · Heat and Thermodynamics · MCQ
Q51.A transverse wave is represented by $y = 2 sin (ω t - k x) cm$ . The value of wavelength (in $cm$ ) for which the wave velocity becomes equal to the maximum particle velocity, will be :
Physics · Waves · MCQ
Q52.A battery of $6 V$ is connected to the circuit as shown below. The current I drawn from the battery is : Includes diagram
Physics · Current Electricity · MCQ
Q53.A source of potential difference $V$ is connected to the combination of two identical capacitors as shown in the figure. When key ' $K$ ' is closed, the total energy stored across the combination is $E_{1}$ . Now key ' $K$ ' is opened and… Includes diagram
Physics · Capacitor · MCQ
Q54.Two concentric circular loops of radii $r_{1} = 30 cm$ and $r_{2} = 50 cm$ are placed in $X - Y$ plane as shown in the figure. A current $I = 7 A$ is flowing through them in the direction as shown in… Includes diagram
Physics · Magnetics · MCQ
Q55.A velocity selector consists of electric field $E = E \hat{k}$ and magnetic field $B = B \hat{j}$ with $B = 12 m T$ . The value of $E$ required for an electron of energy $x$ moving along the positive $x$ -axis to…
Physics · Electromagnetic Waves · MCQ
Q56.Two masses $M_{1}$ and $M_{2}$ are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass $M_{2}$ is twice that of $M_{1}$ , the acceleration of the system is $a_{1}$ . When the… Includes diagram
Physics · Laws of Motion · MCQ
Q57.The area of cross section of the rope used to lift a load by a crane is $2.5 \times 1 0^{- 4} m^{2}$ . The maximum lifting capacity of the crane is 10 metric tons. To increase the lifting capacity of the crane to 25 metric tons, the…
Physics · Properties of Matter · MCQ
Q58.If $A = (2 \hat{i} + 3 \hat{j} - \hat{k}) m$ and $B = (\hat{i} + 2 \hat{j} + 2 \hat{k}) m$ . The magnitude of component of vector $A$ along vector $B$ will be $m$ .
Physics · Vector Algebra · Numerical
Q59.The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be $m$ . Given, the length of the rod is $103 m$ .
Physics · Rotational Motion · Numerical
Q60.In the given figure, the face $A C$ of the equilateral prism is immersed in a liquid of refractive index ' $n$ '. For incident angle $6 0^{\circ}$ at the side $A C$ , the refractive light beam just grazes along face $A C$ . The refractive index… Includes diagram
Physics · Geometrical Optics · Numerical
Q61.Two lighter nuclei combine to form a comparatively heavier nucleus by the relation given below : $_{1}^{2} X +_{1}^{2} X =_{2}^{4} Y$ The binding energies per nucleon for $\frac{2}{1} X$ and $_{2}^{4} Y$ are $1.1 MeV$ …
Physics · Atoms and Nuclei · Numerical
Q62.A uniform heavy rod of mass $0.4 m^{2}$ , cross sectional area $0.4 m^{2}$ and length $x \times 1 0^{- 9} m$ is hanging from a fixed support. Neglecting the lateral contraction, the elongation in the rod due to its own weight is $x \times 1 0^{- 9} m$ …
Physics · Properties of Matter · Numerical
Q63.Three point charges of magnitude $5 μ C, 0.16 μ C$ and $0.3 μ C$ are located at the vertices $A, B, C$ of a right angled triangle whose sides are $A B = 3 cm, B C = 32 cm$ and $C A = 3 cm$ …
Physics · Electrostatics · Numerical
Q64.In a coil of resistance $8 Ω$ , the magnetic flux due to an external magnetic field varies with time as $ϕ = \frac{2}{3} (9 - t^{2})$ . The value of total heat produced in the coil, till the flux becomes zero, will be $J$ …
Physics · Electromagnetic Induction · Numerical
Q65.As per given figures, two springs of spring constants $k$ and $2 k$ are connected to mass $m$ . If the period of oscillation in figure (a) is $3 s$ , then the period of oscillation in figure (b) will be $x s$ . The value of $x$ … Includes diagram
Physics · Simple Harmonic Motion · Numerical