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2023 · 11 Apr · Shift 1

76 questions · JEE Main

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2023 · 11 Apr · Shift 1

2023 · 11 Apr · Shift 1

76 questions · JEE Main

Chemistry24 questions Mathematics24 questions Physics28 questions

Haloalkanes and HaloarenesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Coordination CompoundsChemistry · 4 questions Structure of AtomChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Salt AnalysisChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions P Block ElementsChemistry · 1 questions BiomoleculesChemistry · 1 questions Alcohols Phenols and EthersChemistry · 3 questions Some Basic Concepts of ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions ElectrochemistryChemistry · 1 questions HyperbolaMathematics · 2 questions ProbabilityMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Complex NumbersMathematics · 1 questions Differential EquationsMathematics · 1 questions Definite IntegrationMathematics · 2 questions StatisticsMathematics · 1 questions Vector AlgebraMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions EllipseMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions LogarithmMathematics · 1 questions Sets and RelationsMathematics · 1 questions 3D GeometryMathematics · 1 questions Binomial TheoremMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Units and MeasurementsPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Geometrical OpticsPhysics · 2 questions GravitationPhysics · 1 questions Electronic DevicesPhysics · 1 questions Circular MotionPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions CapacitorPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Center of MassPhysics · 1 questions Dual Nature of RadiationPhysics · 2 questions Magnetic Properties of MatterPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Current ElectricityPhysics · 3 questions Alternating CurrentPhysics · 1 questions WavesPhysics · 1 questions ElectrostaticsPhysics · 1 questions Motion in A PlanePhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Rotational MotionPhysics · 1 questions Properties of MatterPhysics · 1 questions

Q1.Find out the correct statement from the options given below for the above 2 reactions. Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q2.'A' and 'B' in the above reactions are: Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3.The complex that dissolves in water is :
Chemistry · Coordination Compounds · MCQ
Q4.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R : Assertion A : In the photoelectric effect, the electrons are ejected from the metal surface as soon as the beam of light of frequency…
Chemistry · Structure of Atom · MCQ
Q5.Match List - I with List - II: Choose the correct answer from the options given below: Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q6.For elements $B, C, N, Li, Be, O$ and $F$ , the correct order of first ionization enthalpy is
Chemistry · Periodic Table and Periodicity · MCQ
Q7. $25 mL$ of silver nitrate solution (1M) is added dropwise to $(1.05 M)$ of potassium iodide $(1.05 M)$ solution. The ion(s) present in very small quantity in the solution is/are :
Chemistry · Ionic Equilibrium · MCQ
Q8.When a solution of mixture having two inorganic salts was treated with freshly prepared ferrous sulphate in acidic medium, a dark brown ring was formed whereas on treatment with neutral $FeCl_{3}$ , it gave deep red colour which…
Chemistry · Salt Analysis · MCQ
Q9.Thin layer chromatography of a mixture shows the following observation: The correct order of elution in the silica gel column chromatography is Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q10.'X' is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q11.For compound having the formula $GaAlCl_{4}$ , the correct option from the following is :
Chemistry · P Block Elements · MCQ
Q12.The set which does not have ambidentate ligand(s) is :
Chemistry · Coordination Compounds · MCQ
Q13.L-isomer of tetrose $X (C_{4} H_{8} O_{4})$ gives positive Schiff's test and has two chiral carbons. On acetylation, ' $X$ ' yields triacetate. ' $X$ ' also undergoes following… Includes diagram
Chemistry · Biomolecules · MCQ
Q14.Which of the following complex has a possibility to exist as meridional isomer?
Chemistry · Coordination Compounds · MCQ
Q15.Arrange the following compounds in increasing order of rate of aromatic electrophilic substitution reaction Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q16.A solution of sugar is obtained by mixing $25%$ of its $25%$ solution and $40%$ of its $40%$ solution (both by mass). The mass percentage of the resulting sugar solution is (Nearest…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q17.0.004 M K $_{2}$ SO $_{4}$ solution is isotonic with 0.01 M glucose solution. Percentage dissociation of K $_{2}$ SO $_{4}$ is (Nearest integer)
Chemistry · Solutions · Numerical
Q18.The ratio of spin-only magnetic moment values $μ_{eff} [Cr (CN)_{6}]^{3 -} / μ_{eff} [Cr (H_{2} O)_{6}]^{3 +}$ is .
Chemistry · Coordination Compounds · Numerical
Q19. $KClO_{3} + 6 FeSO_{4} + 3 H_{2} SO_{4} \to KCl + 3 Fe_{2} (SO_{4})_{3} + 3 H_{2} O$ The above reaction was studied at $300 K$ by…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q20.The number of hyperconjugation structures involved to stabilize carbocation formed in the above reaction is . Includes diagram
Chemistry · Alcohols Phenols and Ethers · Numerical
Q21.The ratio x/y on completion of the above reaction is . Includes diagram
Chemistry · Alcohols Phenols and Ethers · Numerical
Q22.A mixture of 1 mole of $H_{2} O$ and 1 mole of $CO$ is taken in a 10 litre container and heated to $40%$ . At equilibrium $40%$ of water by mass reacts with carbon monoxide according to the equation…
Chemistry · Chemical Equilibrium · Numerical
Q23.Solid fuel used in rocket is a mixture of $Fe_{2} O_{3}$ and $Al$ (in ratio 1 : 2). The heat evolved per gram of the mixture is . (Nearest integer) Given: $Δ H_{f}^{θ} (Al_{2} O_{3}) = - 1700 kJ mol^{- 1} Δ H_{f}^{θ} (Fe_{2} O_{3}) = - 840 kJ mol^{- 1}$ …
Chemistry · Thermodynamics · Numerical
Q24.In an electrochemical reaction of lead, at standard temperature, if $E^{0} (Pb^{2 +} / Pb) = m$ Volt and $E^{0} (Pb^{4 +} / Pb) = n$ Volt, then the…
Chemistry · Electrochemistry · Numerical
Q25.Let R be a rectangle given by the lines $x = 0, x = 2, y = 0$ and $y = 5$ . Let A $(α, 0)$ and B $(0, β), α \in [0, 2]$ and $β \in [0, 5]$ , be such that the line segment AB divides the area of the rectangle R in the ratio 4 : 1. Then, the…
Mathematics · Hyperbola · MCQ
Q26.Let $S = {M = [a_{ij}], a_{ij} \in {0, 1, 2}, 1 \leq i, j \leq 2}$ be a sample space and $A = {M \in S : M$ is invertible $}$ be an event. Then $P (A)$ is equal to :
Mathematics · Probability · MCQ
Q27.Let $x_{1}, x_{2}, \dots, x_{100}$ be in an arithmetic progression, with $x_{1} = 2$ and their mean equal to 200 . If $y_{i} = i (x_{i} - i), 1 \leq i \leq 100$ , then the mean of $y_{1}, y_{2}, \dots, y_{100}$ is :
Mathematics · Sequences and Series · MCQ
Q28.Let $w_{1}$ be the point obtained by the rotation of $z_{1} = 5 + 4 i$ about the origin through a right angle in the anticlockwise direction, and $w_{2}$ be the point obtained by the rotation of $z_{2} = 3 + 5 i$ about the origin through a right…
Mathematics · Complex Numbers · MCQ
Q29.Let $y = y (x)$ be a solution curve of the differential equation. $(1 - x^{2} y^{2}) d x = y d x + x d y$ . If the line $x = 1$ intersects the curve $y = y (x)$ at $y = 2$ and the line $x = 2$ intersects the curve $y = y (x)$ at $y = α$ , then a…
Mathematics · Differential Equations · MCQ
Q30.The value of the integral $\int_{- l o g_{e} 2}^{l o g_{e} 2} e^{x} (lo g_{e} (e^{x} + 1 + e^{2 x})) d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q31.Let sets A and B have 5 elements each. Let the mean of the elements in sets A and B be 5 and 8 respectively and the variance of the elements in sets A and B be 12 and 20 respectively. A new set C of 10 elements is formed by subtracting 3…
Mathematics · Statistics · MCQ
Q32.For any vector $a = a_{1} \hat{i} + a_{2} \hat{j} + a_{3} \hat{k}$ , with $10 ∣ a_{i} ∣ (A) :$ \max \left\{\left|a_{1}\right|,\left|a_{2}\right|,\left|a_{3}\right|\right\} \leq|\vec{a}| $(B) :$ |\vec{a}| \leq 3 \max…
Mathematics · Vector Algebra · MCQ
Q33.Let $A$ be a $2 \times 2$ matrix with real entries such that $A^{'} = α A + I$ , where $α \in R - {- 1, 1}$ . If $det (A^{2} - A) = 4$ , then the sum of all possible values…
Mathematics · Matrices and Determinants · MCQ
Q34.Let $f (x) = [x^{2} - x] + ∣ - x + [x] ∣$ , where $x \in R$ and $[t]$ denotes the greatest integer less than or equal to $t$ . Then, $f$ is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q35.Consider ellipses $E_{k} : k x^{2} + k^{2} y^{2} = 1, k = 1, 2, \dots, 20$ . Let $C_{k}$ be the circle which touches the four chords joining the end points (one on minor axis and another on major axis) of the ellipse $E_{k}$ …
Mathematics · Ellipse · MCQ
Q36.Area of the region ${(x, y) : x^{2} + (y - 2)^{2} \leq 4, x^{2} \geq 2 y}$ is
Mathematics · Area Under the Curves · MCQ
Q37.Let $a$ be a non-zero vector parallel to the line of intersection of the two planes described by $\hat{i} + \hat{j}, \hat{i} + \hat{k}$ and $\hat{i} - \hat{j}, \hat{j} - \hat{k}$ . If $θ$ is the angle between the vector $a$ and the…
Mathematics · Vector Algebra · MCQ
Q38.The number of triplets $(x, y, z)$ , where $x, y, z$ are distinct non negative integers satisfying $x + y + z = 15$ , is :
Mathematics · Permutations and Combinations · MCQ
Q39.The number of integral solutions $x$ of $lo g_{(x + \frac{7}{2})} (\frac{x - 7}{2 x - 3})^{2} \geq 0$ is :
Mathematics · Logarithm · MCQ
Q40.An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If these medals went to total 60 men and only five men got medals in all the three events, then, how many received medals in exactly two of three events?
Mathematics · Sets and Relations · MCQ
Q41.Let $A = 0 a 1 10 c 230$ , where $a, c \in R$ . If $A^{3} = A$ and the positive value of $a$ belongs to the interval $(n - 1, n]$ , where $n \in N$ …
Mathematics · Matrices and Determinants · Numerical
Q42.Let $H_{n} : \frac{x ^{2}}{1 + n} - \frac{y ^{2}}{3 + n} = 1, n \in N$ . Let $k$ be the smallest even value of $n$ such that the eccentricity of $H_{k}$ is a rational number. If $l$ is the length…
Mathematics · Hyperbola · Numerical
Q43.For $m, n > 0$ , let $α (m, n) = \int_{0}^{2} t^{m} (1 + 3 t)^{n} d t$ . If $11 α (10, 6) + 18 α (11, 5) = p (14)^{6}$ , then $p$ is equal to .
Mathematics · Definite Integration · Numerical
Q44.In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students sits on the allotted seat, is .
Mathematics · Permutations and Combinations · Numerical
Q45.Let a line $l$ pass through the origin and be perpendicular to the lines $l_{1} : r = (\overset{}{^} - 11 \overset{}{^} - 7 \hat{k}) + λ (\hat{i} + 2 \overset{}{^} + 3 \hat{k}), λ \in R$ and $l_{2} : r = (- \overset{}{^} + \hat{k}) + μ (2 \overset{}{^} + 2 \overset{}{^} + \hat{k}), μ \in R$ …
Mathematics · 3D Geometry · Numerical
Q46.The mean of the coefficients of $x, x^{2}, \dots, x^{7}$ in the binomial expansion of $(2 + x)^{9}$ is .
Mathematics · Binomial Theorem · Numerical
Q47.If $a$ and $b$ are the roots of the equation $x^{2} - 7 x - 1 = 0$ , then the value of $\frac{a ^{21} + b ^{21} + a ^{17} + b ^{17}}{a ^{19} + b ^{19}}$ is equal to .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q48.The number of integral terms in the expansion of $(3^{\frac{1}{2}} + 5^{\frac{1}{4}})^{680}$ is equal to .
Mathematics · Binomial Theorem · Numerical
Q49.Given below are two statements : Statements I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances. Statements II : $$\mathrm{Au} In the light of the above statements, choose the most…
Physics · Units and Measurements · MCQ
Q50. $10 0^{\circ} C$ of water at $10 0^{\circ} C$ is converted into steam at $10 0^{\circ} C$ by boiling at atmospheric pressure. The volume of water changes from $1.00 \times 1 0^{- 3} m^{3}$ as a liquid to $1.671 m^{3}$ …
Physics · Heat and Thermodynamics · MCQ
Q51.The critical angle for a denser-rarer interface is $4 5^{\circ}$ . The speed of light in rarer medium is $3 \times 1 0^{8} m / s$ . The speed of light in the denser medium is:
Physics · Geometrical Optics · MCQ
Q52.On a temperature scale ' $X$ ', the boiling point of water is $6 5^{\circ} X$ and the freezing point is $- 1 5^{\circ} X$ . Assume that the $X$ scale is linear. The equivalent temperature corresponding to $- 9 5^{\circ} X$ …
Physics · Heat and Thermodynamics · MCQ
Q53.The radii of two planets 'A' and 'B' are 'R' and '4R' and their densities are $ρ$ and $ρ /3$ respectively. The ratio of acceleration due to gravity at their surfaces $(g_{A} : g_{B})$ will be:
Physics · Gravitation · MCQ
Q54.Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second contains chlorine (diatomic) and third contains uranium hexafloride (polyatomic). Arrange these on…
Physics · Heat and Thermodynamics · MCQ
Q55.The logic performed by the circuit shown in figure is equivalent to : Includes diagram
Physics · Electronic Devices · MCQ
Q56.A coin placed on a rotating table just slips when it is placed at a distance of from the center. If the angular velocity of the table in halved, it will just slip when placed at a distance of …
Physics · Circular Motion · MCQ
Q57.The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement $(x)$ starting from mean position to extreme position (A) is given by
Physics · Simple Harmonic Motion · MCQ
Q58.A parallel plate capacitor of capacitance $V$ is charged to a potential $V$ , The energy stored in the capacitor is $E_{1}$ . The capacitor is now connected to another uncharged identical capacitor in parallel…
Physics · Capacitor · MCQ
Q59.The electric field in an electromagnetic wave is given as $E = 20 sin ω (t - \frac{x}{c}) j NC^{- 1}$ where $ω$ and $c$ are angular frequency…
Physics · Electromagnetic Waves · MCQ
Q60.An average force of $10 g$ is applied on a machine gun firing bullets each of mass $250 m / s$ at the speed of $250 m / s$ to keep it in position. The number of bullets fired per second by the machine gun…
Physics · Center of Mass · MCQ
Q61.A metallic surface is illuminated with radiation of wavelength $λ$ , the stopping potential is $V_{0}$ . If the same surface is illuminated with radiation of wavelength $2 λ$ . the stopping potential becomes $\frac{V _{o}}{4}$ . The…
Physics · Dual Nature of Radiation · MCQ
Q62.The free space inside a current carrying toroid is filled with a material of susceptibility $2 \times 1 0^{- 2}$ . The percentage increase in the value of magnetic field inside the toroid will be
Physics · Magnetic Properties of Matter · MCQ
Q63.From the $v - t$ graph shown, the ratio of distance to displacement in $25 s$ of motion is: Includes diagram
Physics · Motion in A Straight Line · MCQ
Q64.Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be:
Physics · Current Electricity · MCQ
Q65.As per the given graph, choose the correct representation for curve $A$ and curve B. Where $X_{C} =$ reactance of pure capacitive circuit connected with A.C. source $X_{L} =$ reactance of pure… Includes diagram
Physics · Alternating Current · MCQ
Q66.The current sensitivity of moving coil galvanometer is increased by $25%$ . This increase is achieved only by changing in the number of turns of coils and area of cross section of the wire while keeping the resistance of galvanometer coil…
Physics · Current Electricity · MCQ
Q67.The equation of wave is given by $Y = 1 0^{- 2} sin 2 π (160 t - 0.5 x + π /4)$ where $x$ and $Y$ are in $m$ and $t$ in $s$ . The speed of the wave is $km h^{- 1}$ .
Physics · Waves · Numerical
Q68.As shown in the figure, a configuration of two equal point charges $(q_{0} = + 2 μ C)$ is placed on an inclined plane. Mass of each point charge is $20 g$ . Assume that there is no friction between charge and… Includes diagram
Physics · Electrostatics · Numerical
Q69.A projectile fired at $3 0^{\circ}$ to the ground is observed to be at same height at time $5 s$ and after projection, during its flight. The speed of projection of the projectile is $m s^{- 1}$ …
Physics · Motion in A Plane · Numerical
Q70.The magnetic field B crossing normally a square metallic plate of area $4 m^{2}$ is changing with time as shown in figure. The magnitude of induced emf in the plate during $t = 2 s$ to $t = 4 s$ , is $mV$ … Includes diagram
Physics · Electromagnetic Induction · Numerical
Q71.A force $F = (2 + 3 x) \hat{i}$ acts on a particle in the $x$ direction where F is in newton and $x$ is in meter. The work done by this force during a displacement from $x = 0$ to $x = 4 m$ , is J.
Physics · Work Power and Energy · Numerical
Q72.A solid sphere of mass $5 cm$ and radius $10 rad s^{- 1}$ is rotated about one of its diameter with angular speed of $10 rad s^{- 1}$ . If the moment of inertia of the sphere about its tangent is $x \times 1 0^{- 2}$ …
Physics · Rotational Motion · Numerical
Q73.The length of a wire becomes $l_{1}$ and $l_{2}$ when $120 N$ and $10 l_{2} = 11 l_{1}$ tensions are applied respectively. If $10 l_{2} = 11 l_{1}$ , the natural length of wire will be $\frac{1}{x} l_{1}$ . Here the value of $x$ is …
Physics · Properties of Matter · Numerical
Q74.The radius of curvature of each surface of a convex lens having refractive index 1.8 is $x : 1$ . The lens is now immersed in a liquid of refractive index 1.5 . The ratio of power of lens in air to its power in the liquid will be $x : 1$ …
Physics · Geometrical Optics · Numerical
Q75.A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different wavelengths. The frequency of incident light is $x \times 1 0^{15} Hz$ …
Physics · Dual Nature of Radiation · Numerical
Q76.In the circuit diagram shown in figure given below, the current flowing through resistance $3 Ω$ is $\frac{x}{3} A$ . The value of $x$ is Includes diagram
Physics · Current Electricity · Numerical