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2024 · 27 Jan · Shift 2

90 questions · JEE Main

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2024 · 27 Jan · Shift 2

2024 · 27 Jan · Shift 2

90 questions · JEE Main

Chemistry30 questions Mathematics30 questions Physics30 questions

Coordination CompoundsChemistry · 3 questions Basics of Organic ChemistryChemistry · 4 questions Alcohols Phenols and EthersChemistry · 3 questions P Block ElementsChemistry · 2 questions Practical Organic ChemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 2 questions ElectrochemistryChemistry · 2 questions Redox ReactionsChemistry · 1 questions D and F Block ElementsChemistry · 3 questions HydrocarbonsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 3 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ThermodynamicsChemistry · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Vector AlgebraMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions ProbabilityMathematics · 1 questions 3D GeometryMathematics · 2 questions Sets and RelationsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions HyperbolaMathematics · 1 questions Sequences and SeriesMathematics · 1 questions FunctionsMathematics · 1 questions Differential EquationsMathematics · 2 questions Trigonometric Functions and EquationsMathematics · 1 questions Application of DerivativesMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions Permutations and CombinationsMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Definite IntegrationMathematics · 2 questions StatisticsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Area Under the CurvesMathematics · 1 questions CircleMathematics · 1 questions Complex NumbersMathematics · 1 questions Units and MeasurementsPhysics · 1 questions Work Power and EnergyPhysics · 2 questions Laws of MotionPhysics · 1 questions Alternating CurrentPhysics · 2 questions Rotational MotionPhysics · 2 questions GravitationPhysics · 1 questions Properties of MatterPhysics · 2 questions Atoms and NucleiPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Current ElectricityPhysics · 3 questions ElectrostaticsPhysics · 3 questions Wave OpticsPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Electronic DevicesPhysics · 1 questions WavesPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions MagneticsPhysics · 1 questions

Q1.Identity the incorrect pair from the following :
Chemistry · Coordination Compounds · MCQ
Q2.The order of relative stability of the contributing structure is : Choose the correct answer from the options given below : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q3.Major product formed in the following reaction is a mixture of : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q4.Given below are two statements : Statement (I) : Oxygen being the first member of group 16 exhibits only -2 oxidation state. Statement (II) : Down the group 16 stability of +4 oxidation state decreases and +6 oxidation state increases. In…
Chemistry · P Block Elements · MCQ
Q5.The technique used for purification of steam volatile water immiscible substances is :
Chemistry · Practical Organic Chemistry · MCQ
Q6.Which structure of protein remains intact after coagulation of egg white on boiling?
Chemistry · Biomolecules · MCQ
Q7.Identify B formed in the reaction. $Cl - (CH_{2})_{4} - Cl excess NH_{3} A NaOH B + H_{2} O + NaCl$
Chemistry · Haloalkanes and Haloarenes · MCQ
Q8.Identify from the following species in which $d^{2} sp^{3}$ hybridization is shown by central atom :
Chemistry · Coordination Compounds · MCQ
Q9.Phenolic group can be identified by a positive:
Chemistry · Alcohols Phenols and Ethers · MCQ
Q10.Match List - I with List - II. Choose the correct answer from the options given below : Includes table Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q11.Which among the following halide/s will not show $S_{N} 1$ reaction: (A) $H_{2} C = CH - CH_{2} Cl$ (B) $CH_{3} - CH = CH - Cl$ (C) (D) Choose the most appropriate… Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q12.Which of the following statements is not correct about rusting of iron?
Chemistry · Electrochemistry · MCQ
Q13.Which of the following cannot function as an oxidising agent?
Chemistry · Redox Reactions · MCQ
Q14.Given below are two statements : Statement (I) : In the Lanthanoids, the formation $Ce^{+ 4}$ is favoured by its noble gas configuration. Statement (II) : $Ce^{+ 4}$ is a strong oxidant reverting to the common +3 state. In…
Chemistry · D and F Block Elements · MCQ
Q15.Choose the correct option having all the elements with $d^{10}$ electronic configuration from the following :
Chemistry · D and F Block Elements · MCQ
Q16.The incorrect statement regarding conformations of ethane is :
Chemistry · Basics of Organic Chemistry · MCQ
Q17.The final product A, formed in the following reaction sequence is: Includes diagram
Chemistry · Hydrocarbons · MCQ
Q18.Bond line formula of HOCH(CN) $_{2}$ is :
Chemistry · Basics of Organic Chemistry · MCQ
Q19.The quantity which changes with temperature is :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q20.The molecular formula of second homologue in the homologous series of mono carboxylic acids is
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q21.1 mole of $PbS$ is oxidised by " $X$ " moles of $O_{3}$ to get " $Y$ " moles of $O_{2}$ . $X + Y =$ .
Chemistry · P Block Elements · Numerical
Q22.The Spin only magnetic moment value of square planar complex $[Pt (NH_{3})_{2} Cl (NH_{2} CH_{3})] Cl$ is B.M. (Nearest integer)…
Chemistry · Coordination Compounds · Numerical
Q23.Total number of compounds with Chiral carbon atoms from following is . Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q24.Time required for completion of $99.9%$ of a First order reaction is times of half life $(t_{1/2})$ of the reaction.
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q25.The hydrogen electrode is dipped in a solution of $pH = 3$ at $2 5^{\circ} C$ . The potential of the electrode will be $\times 1 0^{- 2} V$ . $(\frac{2.303 RT}{F} = 0.059 V)$ …
Chemistry · Electrochemistry · Numerical
Q26.The number of non-polar molecules from the following is . $HF, H_{2} O, SO_{2}, H_{2}, CO_{2}, CH_{4}, NH_{3}, HCl, CHCl_{3}, BF_{3}$ …
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q27. $100%$ of aniline is subjected to reaction with excess of acetic anhydride to prepare acetanilide. The mass of acetanilide produced if the reaction is $100%$ completed is $\times 1 0^{- 1} g$ .…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q28.Volume of $3 M NaOH$ (formula weight $40 g mol^{- 1}$ ) which can be prepared from $NaOH$ of $NaOH$ is $\times 1 0^{- 1} dm^{3}$ .
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q29.Total number of ions from the following with noble gas configuration is . $Sr^{2 +} (z = 38), Cs^{+} (z = 55), La^{2 +} (z = 57), Pb^{2 +} (z = 82), Yb^{2 +} (z = 70)$ and $Fe^{2 +} (z = 26)$ …
Chemistry · D and F Block Elements · Numerical
Q30.For a certain thermochemical reaction $M \to N$ at $T = 400 K, Δ H^{⊖} = 77.2 kJ mol^{- 1}, Δ S = 122 JK^{- 1}, lo g$ equilibrium…
Chemistry · Thermodynamics · Numerical
Q31.Considering only the principal values of inverse trigonometric functions, the number of positive real values of $x$ satisfying $tan^{- 1} (x) + tan^{- 1} (2 x) = \frac{π}{4}$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q32.Let the position vectors of the vertices $C$ and $C$ of a triangle be $2 \hat{i} + 2 \hat{j} + \hat{k}, \hat{i} + 2 \hat{j} + 2 \hat{k}$ and $2 \hat{i} + \hat{j} + 2 \hat{k}$ respectively. Let $l_{1}, l_{2}$ and $l_{3}$ be…
Mathematics · Vector Algebra · MCQ
Q33.Consider the function $f : (0, 2) \to R$ defined by $f (x) = \frac{x}{2} + \frac{2}{x}$ and the function $g (x)$ defined by $g (x) = {min ⌊ f (t)}, \frac{3}{2} + x, 0 < t \leq x and 0 < x \leq 1 1 < x < 2 . Then,$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q34.An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made without replacement. The probability, that the first draw gives all white balls and the second draw gives all black balls, is :
Mathematics · Probability · MCQ
Q35.Let the image of the point $(1, 0, 7)$ in the line $\frac{x}{1} = \frac{y - 1}{2} = \frac{z - 2}{3}$ be the point $(α, β, γ)$ . Then which one of the following points lies on the line passing through $(α, β, γ)$ and making…
Mathematics · 3D Geometry · MCQ
Q36.Let $A$ and $B$ be two finite sets with $m$ and $n$ elements respectively. The total number of subsets of the set $A$ is 56 more than the total number of subsets of $B$ . Then the distance of the point $P (m, n)$ from the point $Q (- 2, - 3)$ is…
Mathematics · Sets and Relations · MCQ
Q37.If $x^{2} - x - 1 = 0$ are the roots of the equation, $x^{2} - x - 1 = 0$ and $S_{n} = 2023 α^{n} + 2024 β^{n}$ , then :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q38.Let $e_{1}$ be the eccentricity of the hyperbola $\frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1$ and $e_{2}$ be the eccentricity of the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1, a > b$ , which passes through the foci of the hyperbola.…
Mathematics · Hyperbola · MCQ
Q39. $The 2 0^{th} term from the end of the progression 20, 19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4}, \dots, - 129 \frac{1}{4} is :$
Mathematics · Sequences and Series · MCQ
Q40.Let $f : R - {\frac{- 1}{2}} \to R$ and $g : R - {\frac{- 5}{2}} \to R$ be defined as $f (x) = \frac{2 x + 3}{2 x + 1}$ and $g (x) = \frac{∣ x ∣ + 1}{2 x + 5}$ . Then, the domain of…
Mathematics · Functions · MCQ
Q41. $If lim_{x \to 0} \frac{3 + α s i n x + β c o s x + l o g _{e} ( 1 - x )}{3 t a n ^{2} x} = \frac{1}{3}, then 2 α - β is equal to :$
Mathematics · Limits Continuity and Differentiability · MCQ
Q42.If $y = y (x)$ is the solution curve of the differential equation $(x^{2} - 4) d y - (y^{2} - 3 y) d x = 0, x > 2, y (4) = \frac{3}{2}$ and the slope of the curve is never zero, then the value of $y (10)$ equals :
Mathematics · Differential Equations · MCQ
Q43.If $2 tan^{2} θ - 5 sec θ = 1$ has exactly 7 solutions in the interval $[0, \frac{nπ}{2}]$ , for the least value of $n \in N$ , then $\sum_{k = 1}^{n} \frac{k}{2 ^{k}}$ is equal to:
Mathematics · Trigonometric Functions and Equations · MCQ
Q44.Let $g (x) = 3 f (\frac{x}{3}) + f (3 - x)$ and $f^{''} (x) > 0$ for all $x \in (0, 3)$ . If $g$ is decreasing in $(0, α)$ and increasing in $(α, 3)$ , then $8 α$ is :
Mathematics · Application of Derivatives · MCQ
Q45.Let $R$ be the interior region between the lines $3 x - y + 1 = 0$ and $x + 2 y - 5 = 0$ containing the origin. The set of all values of $a$ , for which the points $(a^{2}, a + 1)$ lie in $R$ , is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q46.Let $α = \frac{( 4 !)!}{( 4 ! ) ^{3!}}$ and $β = \frac{( 5 !)!}{( 5 ! ) ^{4!}}$ . Then :
Mathematics · Permutations and Combinations · MCQ
Q47. $The integral \int \frac{( x ^{8} - x ^{2} ) d x}{( x ^{12} + 3 x ^{6} + 1 ) t a n ^{- 1} ( x ^{3} + \frac{1}{x ^{3}} )} is equal to :$
Mathematics · Indefinite Integrals · MCQ
Q48.The values of $α$ , for which $11 2 α + 3 \frac{3}{2} \frac{1}{3} 3 α + 1 α + \frac{3}{2} α + \frac{1}{3} 0 = 0$ , lie in the interval
Mathematics · Matrices and Determinants · MCQ
Q49.For $0 < a < 1$ , the value of the integral $0 \int π \frac{d x}{1 - 2 a c o s x + a ^{2}}$ is :
Mathematics · Definite Integration · MCQ
Q50.The position vectors of the vertices $C$ and $C$ of a triangle are $2 \hat{i} - 3 \hat{j} + 3 \hat{k}, 2 \hat{i} + 2 \hat{j} + 3 \hat{k}$ and $- \hat{i} + \hat{j} + 3 \hat{k}$ respectively. Let $l$ denotes the length of…
Mathematics · Vector Algebra · MCQ
Q51.The mean and standard deviation of 15 observations were found to be 12 and 3 respectively. On rechecking it was found that an observation was read as 10 in place of 12 . If $μ$ and $σ^{2}$ denote the mean and variance of the correct…
Mathematics · Statistics · Numerical
Q52.The coefficient of $x^{2012}$ in the expansion of $(1 - x)^{2008} (1 + x + x^{2})^{2007}$ is equal to .
Mathematics · Binomial Theorem · Numerical
Q53.The lines $\frac{x - 2}{2} = \frac{y}{- 2} = \frac{z - 7}{16}$ and $\frac{x + 3}{4} = \frac{y + 2}{3} = \frac{z + 2}{1}$ intersect at the point $P$ . If the distance of $P$ from the line $\frac{x + 1}{2} = \frac{y - 1}{3} = \frac{z - 1}{1}$ is $l$ , then $14 l^{2}$ …
Mathematics · 3D Geometry · Numerical
Q54.Let $f (x) = 0 \int x g (t) lo g_{e} (\frac{1 - t}{1 + t}) dt$ , where $g$ is a continuous odd function. If $\int_{- π /2}^{π /2} (f (x) + \frac{x ^{2} c o s x}{1 + e ^{x}}) d x = (\frac{π}{α})^{2} - α$ …
Mathematics · Definite Integration · Numerical
Q55.If the area of the region ${(x, y) : 0 \leq y \leq min {2 x, 6 x - x^{2}}}$ is $A$ , then is equal to .
Mathematics · Area Under the Curves · Numerical
Q56.If the sum of squares of all real values of $α$ , for which the lines $2 x - y + 3 = 0, 6 x + 3 y + 1 = 0$ and $α x + 2 y - 2 = 0$ do not form a triangle is $p$ , then the greatest integer less than or equal to $p$ is .
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q57.Let $A$ be a $2 \times 2$ real matrix and $I$ be the identity matrix of order 2. If the roots of the equation $∣ A - x I ∣ = 0$ be $- 1$ and 3, then the sum of the diagonal elements of the matrix $A^{2}$ is
Mathematics · Matrices and Determinants · Numerical
Q58.Consider a circle $(x - α)^{2} + (y - β)^{2} = 50$ , where $α, β > 0$ . If the circle touches the line $y + x = 0$ at the point $P$ , whose distance from the origin is $42$ , then $(α + β)^{2}$ is equal to …
Mathematics · Circle · Numerical
Q59.Let the complex numbers $α$ and $\frac{1}{α ˉ}$ lie on the circles $∣ z - z_{0} ∣^{2} = 4$ and $∣ z - z_{0} ∣^{2} = 16$ respectively, where $z_{0} = 1 + i$ . Then, the value of $100∣ α ∣^{2}$ is .
Mathematics · Complex Numbers · Numerical
Q60.If the solution curve, of the differential equation $\frac{d y}{d x} = \frac{x + y - 2}{x - y}$ passing through the point $(2, 1)$ is $tan^{- 1} (\frac{y - 1}{x - 1}) - \frac{1}{β} lo g_{e} (α + (\frac{y - 1}{x - 1})^{2}) = lo g_{e} ∣ x - 1∣$ …
Mathematics · Differential Equations · Numerical
Q61.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In Vernier calliper if positive zero error exists, then while taking measurements, the reading taken will be more…
Physics · Units and Measurements · MCQ
Q62.A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position and lowest position are equal. The angle $(θ)$ of thread deflection in the extreme position will be :
Physics · Work Power and Energy · MCQ
Q63.Given below are two statements : Statement (I) : The limiting force of static friction depends on the area of contact and independent of materials. Statement (II) : The limiting force of kinetic friction is independent of the area of…
Physics · Laws of Motion · MCQ
Q64.Primary side of a transformer is connected to $230 V, 50 Hz$ supply. Turns ratio of primary to secondary winding is $10 : 1$ . Load resistance connected to secondary side is $46Ω$ . The power consumed in it is :
Physics · Alternating Current · MCQ
Q65.A heavy iron bar of weight $6 0^{\circ}$ is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle $6 0^{\circ}$ with the horizontal, the weight experienced by the man is :
Physics · Rotational Motion · MCQ
Q66.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit…
Physics · Gravitation · MCQ
Q67.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The property of body, by virtue of which it tends to regain its original shape when the external force is removed,…
Physics · Properties of Matter · MCQ
Q68.The atomic mass of $_{6} C^{12}$ is $_{6} C^{13}$ and that of $_{6} C^{13}$ is $_{6} C^{13}$ . The required energy to remove a neutron from $_{6} C^{13}$ , if mass of neutron is $1.008665 u$ …
Physics · Atoms and Nuclei · MCQ
Q69.The threshold frequency of a metal with work function $6.63 eV$ is :
Physics · Dual Nature of Radiation · MCQ
Q70.During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio of $\frac{Cp}{Cv}$ for the gas is :
Physics · Heat and Thermodynamics · MCQ
Q71.A bullet is fired into a fixed target looses one third of its velocity after travelling $D \times 1 0^{- 3} m$ . It penetrates further $D \times 1 0^{- 3} m$ before coming to rest. The value of $D$ is :
Physics · Work Power and Energy · MCQ
Q72.Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across $A$ and $B$ , their readings are $V_{1}, V_{2}$ and $V_{3}$ . Choose the correct option. Includes diagram
Physics · Current Electricity · MCQ
Q73.The equation of state of a real gas is given by $(P + \frac{a}{V ^{2}}) (V - b) = RT$ , where $T$ and $T$ are pressure, volume and temperature…
Physics · Heat and Thermodynamics · MCQ
Q74.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Work done by electric field on moving a positive charge on an equipotential surface is always zero. Reason (R) :…
Physics · Electrostatics · MCQ
Q75.When a polaroid sheet is rotated between two crossed polaroids then the transmitted light intensity will be maximum for a rotation of :
Physics · Wave Optics · MCQ
Q76.An object is placed in a medium of refractive index 3 . An electromagnetic wave of intensity $6 \times 1 0^{8} W / m^{2}$ falls normally on the object and it is absorbed completely. The radiation pressure on the object would…
Physics · Electromagnetic Waves · MCQ
Q77.The total kinetic energy of 1 mole of oxygen at $2 7^{\circ} C$ is : [Use universal gas constant $(R) = 8.31 J /$ mole K]
Physics · Heat and Thermodynamics · MCQ
Q78.The truth table of the given circuit diagram is : Includes diagram
Physics · Electronic Devices · MCQ
Q79.A current of $200 μ A$ deflects the coil of a moving coil galvanometer through $6 0^{\circ}$ . The current to cause deflection through $\frac{π}{10}$ radian is :
Physics · Current Electricity · MCQ
Q80.Wheatstone bridge principle is used to measure the specific resistance $(S_{1})$ of given wire, having length $L$ , radius $r$ . If $X$ is the resistance of wire, then specific resistance is ; $S_{1} = X (\frac{π r ^{2}}{L})$ …
Physics · Current Electricity · MCQ
Q81.A closed organ pipe $350 cm$ long gives 7 beats per second with an open organ pipe of length $m / s$ , both vibrating in fundamental mode. The velocity of sound is $m / s$ .
Physics · Waves · Numerical
Q82.A series LCR circuit with $L = \frac{100}{π} mH, C = \frac{1 0 ^{- 3}}{π} F$ and $R = 10Ω$ , is connected across an ac source of $220 V, 50 Hz$ supply. The power factor of…
Physics · Alternating Current · Numerical
Q83.Two charges of $- 4 μ C$ and $+ 4 μ C$ are placed at the points $A (1, 0, 4) m$ and $B (2, - 1, 5) m$ located in an electric field $E = 0.20 \hat{i} V / cm$ …
Physics · Electrostatics · Numerical
Q84.A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are identical and the ratio of their kinetic energies is $\frac{7}{x}$ , where $x$ is .
Physics · Rotational Motion · Numerical
Q85.A body falling under gravity covers two points $A$ and $B$ separated by $2 s$ in $m$ . The distance of upper point A from the starting point is $m$ (use $\mathrm{g}=10…
Physics · Motion in A Straight Line · Numerical
Q86.The electric potential at the surface of an atomic nucleus $(z = 50)$ of radius $9 \times 1 0^{- 13} cm$ is $\times 1 0^{6} V$ .
Physics · Electrostatics · Numerical
Q87.The magnetic field at the centre of a wire loop formed by two semicircular wires of radii $R_{1} = 2 π m$ and $R_{2} = 4 π m$ , carrying current $I = 4 A$ as per figure given below is $α \times 1 0^{- 7} T$ … Includes diagram
Physics · Magnetics · Numerical
Q88.A parallel beam of monochromatic light of wavelength 5000 $A o$ is incident normally on a single narrow slit of width $0.001 mm$ . The light is focused by convex lens on screen, placed on its focal plane. The first…
Physics · Wave Optics · Numerical
Q89.The reading of pressure metre attached with a closed pipe is $4.5 \times 1 0^{4} N / m^{2}$ . On opening the valve, water starts flowing and the reading of pressure metre falls to $2.0 \times 1 0^{4} N / m^{2}$ .…
Physics · Properties of Matter · Numerical
Q90.If Rydberg's constant is $R$ , the longest wavelength of radiation in Paschen series will be $\frac{α}{7 R}$ , where $α =$ .
Physics · Atoms and Nuclei · Numerical