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2021 · 24 Feb · Shift 2

68 questions · JEE Main

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2021 · 24 Feb · Shift 2

2021 · 24 Feb · Shift 2

68 questions · JEE Main

Chemistry22 questions Mathematics19 questions Physics27 questions

HydrocarbonsChemistry · 1 questions D and F Block ElementsChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions Chemical Bonding and Molecular StructureChemistry · 2 questions Compounds Containing NitrogenChemistry · 3 questions Coordination CompoundsChemistry · 1 questions BiomoleculesChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Ionic EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions Matrices and DeterminantsMathematics · 2 questions Definite IntegrationMathematics · 3 questions 3D GeometryMathematics · 2 questions Application of DerivativesMathematics · 1 questions ParabolaMathematics · 1 questions ProbabilityMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions CircleMathematics · 1 questions StatisticsMathematics · 1 questions FunctionsMathematics · 1 questions Complex NumbersMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Simple Harmonic MotionPhysics · 3 questions Wave OpticsPhysics · 1 questions Electronic DevicesPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions Laws of MotionPhysics · 1 questions Dual Nature of RadiationPhysics · 2 questions Heat and ThermodynamicsPhysics · 3 questions GravitationPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions WavesPhysics · 1 questions ElectrostaticsPhysics · 2 questions Electromagnetic WavesPhysics · 2 questions Center of MassPhysics · 2 questions Atoms and NucleiPhysics · 1 questions Properties of MatterPhysics · 1 questions Current ElectricityPhysics · 1 questions Alternating CurrentPhysics · 1 questions Rotational MotionPhysics · 1 questions

Q1.The correct order of the following compounds showing increasing tendency towards nucleophilic substitution reaction is : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q2.The incorrect statement among the following is :
Chemistry · D and F Block Elements · MCQ
Q3.Which one of the following compounds is non-aromatic?
Chemistry · Basics of Organic Chemistry · MCQ
Q4.According to Bohr's atomic theory : (A) Kinetic energy of electron is $\propto \frac{Z ^{2}}{n ^{2}}$ . (B) The product of velocity (v) of electron and principal quantum number (n), $^{'} v n^{'} \propto Z^{2}$ . (C) Frequency of revolution of…
Chemistry · Structure of Atom · MCQ
Q5.Which one of the following carbonyl compounds cannot be prepared by addition of water on an alkyne in the presence of $H g S O_{4}$ and $H_{2} S O_{4}$ ?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q6.The correct set from the following in which both pairs are in correct order of melting point is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q7.What is the correct sequence of reagents used for converting nitrobenzene into m-dibromobenzene? Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q8.The calculated magnetic moments (spin only value) for species $[F e C l_{4}]^{2 -}$ , $[C o (C_{2} O_{4})_{3}]^{3 -}$ and $M n O_{4}^{2 -}$ respectively are :
Chemistry · Coordination Compounds · MCQ
Q9.Which of the following reagent is suitable for the preparation of the product in the above reaction? Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.What is the correct order of the following elements with respect to their density?
Chemistry · D and F Block Elements · MCQ
Q11.Match List - I and List - II. Includes table
Chemistry · Biomolecules · MCQ
Q12.The correct shape and $I - I - I$ bond angles respectively in $I_{3}^{-}$ ion are :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q13.The diazonium salt of which of the following compounds will form a coloured dye on reaction with $β$ -Naphthol in NaOH?
Chemistry · Compounds Containing Nitrogen · MCQ
Q14.Match List - I and List - II. Choose the correct answer from the options given below : Includes table Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q15.The formula of a gaseous hydrocarbon which requires 6 times of its own volume of $O_{2}$ for complete oxidation and produces 4 times its own volume of $C O_{2}$ is CxHy. The value of y is .
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q16.The solubility product of $P b I_{2}$ is 8.0 $\times$ 10 $-$ 9. The solubility of lead iodide in 0.1 molar solution of lead nitrate is x $\times$ 10 $-$ 6. mol/L. The value of x is . (Rounded off to the nearest…
Chemistry · Ionic Equilibrium · Numerical
Q17.1.86 g of aniline completely reacts to form acetanilide. 10% of the product is lost during purification. Amount of acetanilide obtained after purification (in g) is $\times$ 10 $-$ 2.
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q18.Assuming ideal behaviour, the magnitude of log K for the following reaction at 25 $^{\circ}$ C is x $\times$ 10 $-$ 1. The value of x is . (Integer answer) $$3HC \equiv C{H_{(g)}} \rightleftharpoons…
Chemistry · Thermodynamics · Numerical
Q19. $C_{6} H_{6}$ freezes at 5.5 $^{\circ}$ C. The temperature at which a solution of 10g of $C_{4} H_{10}$ in 200g of $C_{6} H_{6}$ freeze is $^{\circ}$ C. (The molal freezing point depression constant of $C_{6} H_{6}$ is 5.12 $^{\circ}$ C/m.)
Chemistry · Solutions · Numerical
Q20.Sucrose hydrolyses in acid solution into glucose and fructose following first order rate law with a half-life of 3.33 h at 25 $^{\circ}$ C. After 9 h, the fraction of sucrose remaining is f. The value of $lo g_{10} (\frac{1}{f})$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q21.The magnitude of the change in oxidising power of the $M n O_{4}^{-} / M n^{2 +}$ couple is x $\times$ 10 $-$ 4 V, if the $H^{+}$ concentration is decreased from 1M to 10 $-$ 4 M at 25 $^{\circ}$ C. (Assume concentration of $M n O_{4}^{-}$ and $M n^{2 +}$ …
Chemistry · Electrochemistry · Numerical
Q22.The total number of amines among the following which can be synthesized by Gabriel synthesis is . Includes diagram
Chemistry · Compounds Containing Nitrogen · Numerical
Q23.Let A and B be 3 $\times$ 3 real matrices such that A is symmetric matrix and B is skew-symmetric matrix. Then the system of linear equations (A2B2 $-$ B2A2) X = O, where X is a 3 $\times$ 1 column matrix of unknown variables and O is a 3 $\times$ …
Mathematics · Matrices and Determinants · MCQ
Q24.The value of the integral, $1 \int 3 [x^{2} - 2 x - 2] d x$ , where [x] denotes the greatest integer less than or equal to x, is :
Mathematics · Definite Integration · MCQ
Q25.Let a, b $\in$ R. If the mirror image of the point P(a, 6, 9) with respect to the line $\frac{x - 3}{7} = \frac{y - 2}{5} = \frac{z - 1}{- 9}$ is (20, b, $-$ a $-$ 9), then | a + b |, is equal to :
Mathematics · 3D Geometry · MCQ
Q26.For the system of linear equations: $x - 2 y = 1, x - y + k z = - 2, k y + 4 z = 6, k \in R$ , consider the following statements : (A) The system has unique solution if $k e 2, k e - 2$ . (B) The system has unique solution if k = $-$ 2 (C) The…
Mathematics · Matrices and Determinants · MCQ
Q27.Let f(x) be a differentiable function defined on [0, 2] such that f'(x) = f'(2 $-$ x) for all x $\in$ (0, 2), f(0) = 1 and f(2) = e2. Then the value of $0 \int 2 f (x) d x$ is :
Mathematics · Definite Integration · MCQ
Q28.Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and f'(x) $e$ 0 for all x $\in$ R. If $f (x) f^{'} (x) f^{'} (x) f^{''} (x)$ = 0, for all x $\in$ …
Mathematics · Definite Integration · MCQ
Q29.Let $f : R \to R$ be defined as $f (x) = ⎩ ⎨ ⎧ - 55 x, 2 x^{3} - 3 x^{2} - 120 x, 2 x^{3} - 3 x^{2} - 36 x - 336, i f x < - 5 i f - 5 \leq x \leq 4 i f x > 4,$ Let…
Mathematics · Application of Derivatives · MCQ
Q30.If P is a point on the parabola y = x2 + 4 which is closest to the straight line y = 4x $-$ 1, then the co-ordinates of P are :
Mathematics · Parabola · MCQ
Q31.The probability that two randomly selected subsets of the set {1, 2, 3, 4, 5} have exactly two elements in their intersection, is :
Mathematics · Probability · MCQ
Q32.A possible value of $tan (\frac{1}{4} sin^{- 1} \frac{63}{8})$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q33.The area of the region : $R = {(x, y) : 5 x^{2} \leq y \leq 2 x^{2} + 9}$ is :
Mathematics · Area Under the Curves · MCQ
Q34.Let a point P be such that its distance from the point (5, 0) is thrice the distance of P from the point ( $-$ 5, 0). If the locus of the point P is a circle of radius r, then 4r2 is equal to
Mathematics · Circle · Numerical
Q35.If the variance of 10 natural numbers 1, 1, 1, ....., 1, k is less than 10, then the maximum possible value of k is .
Mathematics · Statistics · Numerical
Q36.Let $λ$ be an integer. If the shortest distance between the lines x $- λ$ = 2y $-$ 1 = $-$ 2z and x = y + 2 $λ$ = z $- λ$ is $\frac{7}{2 2}$ , then the value of | $λ$ | is .
Mathematics · 3D Geometry · Numerical
Q37.If a + $α$ = 1, b + $β$ = 2 and $a f (x) + α f (\frac{1}{x}) = b x + \frac{β}{x}, x e 0$ , then the value of the expression $\frac{f ( x ) + f ( \frac{1}{x} )}{x + \frac{1}{x}}$ is …
Mathematics · Functions · Numerical
Q38.Let $i = - 1$ . If $\frac{( - 1 + i 3 ) ^{21}}{( 1 - i ) ^{24}} + \frac{( 1 + i 3 ) ^{21}}{( 1 + i ) ^{24}} = k$ , and $n = [∣ k ∣]$ be the greatest integral part of | k |. Then…
Mathematics · Complex Numbers · Numerical
Q39.The number of the real roots of the equation $(x + 1)^{2} + ∣ x - 5∣ = \frac{27}{4}$ is .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q40.The students S1, S2, ....., S10 are to be divided into 3 groups A, B and C such that each group has at least one student and the group C has at most 3 students. Then the total number of possibilities of forming such groups is …
Mathematics · Permutations and Combinations · Numerical
Q41.The sum of first four terms of a geometric progression (G. P.) is $\frac{65}{12}$ and the sum of their respective reciprocals is $\frac{65}{18}$ . If the product of first three terms of the G.P. is 1, and the third term is $α$ ,…
Mathematics · Sequences and Series · Numerical
Q42.In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane. The free ends of the springs are attached to firm supports. If each spring has spring constant k, the frequency of oscillation of given… Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q43.If the source of light used in a Young's double slit experiment is changed from red to violet :
Physics · Wave Optics · MCQ
Q44.The logic circuit shown above is equivalent to : Includes diagram
Physics · Electronic Devices · MCQ
Q45.Figure shows a circuit that contains four identical resistors with resistance R = 2.0 $Ω$ , two identical inductors with inductance L = 2.0 mH and an ideal battery with emf E = 9V. The current 'i' just after the switch 'S' is closed… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q46.A particle is projected with velocity v0 along x-axis. A damping force is acting on the particle which is proportional to the square of the distance from the origin i.e. ma = $- α$ x2. The distance at which the particle stops :
Physics · Laws of Motion · MCQ
Q47.An X-ray tube is operated at 1.24 million volt. The shortest wavelength of the produced photon will be :
Physics · Dual Nature of Radiation · MCQ
Q48.If one mole of an ideal gas at (P1, V1) is allowed to expand reversibly and isothermally (A to B) its pressure is reduced to one-half of the original pressure (see figure). This is followed by a constant volume cooling till its pressure is… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q49.A body weights 49N on a spring balance at the north pole. What will be its weight recorded on the same weighing machine, if it is shifted to the equator? [Use $g = \frac{GM}{R ^{2}}$ = 9.8 ms $-$ 2 and radius of earth, R = 6400 km.]
Physics · Gravitation · MCQ
Q50.When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is :
Physics · Simple Harmonic Motion · MCQ
Q51.The period of oscillation of a simple pendulum is $T = 2 π \frac{L}{g}$ . Measured value of 'L' is 1.0 m from meter scale having a minimum division of 1 mm and time of one complete oscillation is 1.95 s measured from stopwatch of…
Physics · Simple Harmonic Motion · MCQ
Q52.A soft ferromagnetic material is placed in an external magnetic field. The magnetic domains :
Physics · Magnetic Properties of Matter · MCQ
Q53.Which of the following equations represents a travelling wave?
Physics · Waves · MCQ
Q54.Two electrons each are fixed at a distance '2d'. A third charge proton placed at the midpoint is displaced slightly by a distance x (x << d) perpendicular to the line joining the two fixed charges. Proton will execute simple harmonic…
Physics · Electrostatics · MCQ
Q55.On the basis of kinetic theory of gases, the gas exerts pressure because its molecules :
Physics · Heat and Thermodynamics · MCQ
Q56.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Physics · Electromagnetic Waves · MCQ
Q57.A circular hole of radius $(\frac{a}{2})$ is cut out of a circular disc of radius 'a' as shown in figure. The centroid of the remaining circular portion with respect to point 'O' will be : Includes diagram
Physics · Center of Mass · MCQ
Q58.Zener breakdown occurs in a p $-$ n junction having p and n both :
Physics · Electronic Devices · MCQ
Q59.The de-Broglie wavelength of a proton and $α$ -particle are equal. The ratio of their velocities is :
Physics · Dual Nature of Radiation · MCQ
Q60.According to Bohr atomic model, in which of the following transitions will the frequency be maximum?
Physics · Atoms and Nuclei · MCQ
Q61.A uniform metallic wire is elongated by 0.04 m when subjected to a linear force F. The elongation, if its length and diameter is doubled and subjected to the same force will be cm.
Physics · Properties of Matter · Numerical
Q62.An electromagnetic wave of frequency 3 GHz enters a dielectric medium of relative electric permittivity 2.25 from vacuum. The wavelength of this wave in that medium will be $\times$ 10 $-$ 2 cm.
Physics · Electromagnetic Waves · Numerical
Q63.A cylindrical wire of radius 0.5 mm and conductivity 5 $\times$ 107 S/m is subjected to an electric field of 10 mV/m. The expected value of current in the wire will be x3 $π$ mA. The value of x is .
Physics · Current Electricity · Numerical
Q64.Two solids A and B of mass 1 kg and 2 kg respectively are moving with equal linear momentum. The ratio of their kinetic energies (K.E.)A : (K.E.)B will be $\frac{A}{1}$ , so the value of A will be .
Physics · Center of Mass · Numerical
Q65.The root mean square speed of molecules of a given mass of a gas at 27 $^{\circ}$ C and 1 atmosphere pressure is 200 ms $-$ 1. The root mean square speed of molecules of the gas at 127 $^{\circ}$ C and 2 atmosphere pressure is $\frac{x}{3}$ …
Physics · Heat and Thermodynamics · Numerical
Q66.A series L-C-R circuit is designed to resonate at an angular frequency $ω$ 0 = 105 rad/s. The circuit draws 16W power from 120V source at resonance. The value of resistance 'R' in the circuit is $Ω$ .
Physics · Alternating Current · Numerical
Q67.A point charge of +12 $μ$ C is at a distance 6 cm vertically above the centre of a square of side 12 cm as shown in figure. The magnitude of the electric flux through the square will be $\times$ 103 Nm2/C. Includes diagram
Physics · Electrostatics · Numerical
Q68.A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral hexagon. The moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is $\times$ …
Physics · Rotational Motion · Numerical