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2023 · 29 Jan · Shift 2

70 questions · JEE Main

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2023 · 29 Jan · Shift 2

2023 · 29 Jan · Shift 2

70 questions · JEE Main

Chemistry23 questions Mathematics21 questions Physics26 questions

Periodic Table and PeriodicityChemistry · 2 questions D and F Block ElementsChemistry · 3 questions ThermodynamicsChemistry · 1 questions Alcohols Phenols and EthersChemistry · 3 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 3 questions Coordination CompoundsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions SolutionsChemistry · 1 questions HydrocarbonsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Structure of AtomChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Differential EquationsMathematics · 1 questions Sets and RelationsMathematics · 1 questions Permutations and CombinationsMathematics · 3 questions Vector AlgebraMathematics · 2 questions ProbabilityMathematics · 1 questions FunctionsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Definite IntegrationMathematics · 2 questions Binomial TheoremMathematics · 1 questions 3D GeometryMathematics · 1 questions DifferentiationMathematics · 1 questions StatisticsMathematics · 1 questions Complex NumbersMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Dual Nature of RadiationPhysics · 1 questions Laws of MotionPhysics · 2 questions Units and MeasurementsPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Work Power and EnergyPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Alternating CurrentPhysics · 2 questions Circular MotionPhysics · 2 questions GravitationPhysics · 1 questions MagneticsPhysics · 1 questions Properties of MatterPhysics · 2 questions Electronic DevicesPhysics · 1 questions ElectrostaticsPhysics · 2 questions Rotational MotionPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Wave OpticsPhysics · 1 questions Current ElectricityPhysics · 1 questions

Q1.Given below are two statements : Statement I : The decrease in first ionization enthalpy from B to Al is much larger than that from Al to Ga. Statement II : The d orbitals in Ga are completely filled. In the light of the above statements,…
Chemistry · Periodic Table and Periodicity · MCQ
Q2.Given below are two statements : Statement I : Nickel is being used as the catalyst for producing syn gas and edible fats. Statement II : Silicon forms both electron rich and electron deficient hydrides. In the light of the above…
Chemistry · D and F Block Elements · MCQ
Q3.Which of the following relations are correct? (A) $ΔU = q + pΔV$ (B) $ΔG = ΔH - TΔS$ (C) $Δ S = \frac{q _{r e v}}{T}$ (D) $ΔH = ΔU - ΔnRT$ Choose the most appropriate…
Chemistry · Thermodynamics · MCQ
Q4.A solution of $Cr O_{5}$ in amyl alcohol has a colour.
Chemistry · Alcohols Phenols and Ethers · MCQ
Q5.According to MO theory the bond orders for $O_{2}^{2 -}$ , $CO$ and $N O^{+}$ respectively, are
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q6.When a hydrocarbon A undergoes combustion in the presence of air, it requires 9.5 equivalents of oxygen and produces 3 equivalents of water. What is the molecular formula of A?
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q7.The set of correct statements is : (i) Manganese exhibits +7 oxidation state in its oxide. (ii) Ruthenium and Osmium exhibit +8 oxidation in their oxides. (iii) Sc shows +4 oxidation state which is oxidizing in nature. (iv) Cr shows…
Chemistry · D and F Block Elements · MCQ
Q8.Correct order of spin only magnetic moment of the following complex ions is : (Given At.no. Fe : 26, Co : 27)
Chemistry · Coordination Compounds · MCQ
Q9.Reaction of propanamide with $B r_{2} /KOH (aq)$ produces :
Chemistry · Compounds Containing Nitrogen · MCQ
Q10.Following tetrapeptide can be represented as (F, L, D, Y, I, Q, P are one letter codes for amino acids) Includes diagram
Chemistry · Biomolecules · MCQ
Q11.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Solutions · MCQ
Q12.The one giving maximum number of isomeric alkenes on dehydrohalogenation reaction is (excluding rearrangement)
Chemistry · Hydrocarbons · MCQ
Q13.An indicator 'X' is used for studying the effect of variation in concentration of iodide on the rate of reaction of iodide ion with $H_{2} O_{2}$ at room temp. The indicator 'X' forms blue coloured complex with compound 'A' present in…
Chemistry · D and F Block Elements · MCQ
Q14.Find out the major product for the following reaction. Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q15.Find out the major products from the following reaction sequence. Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q16.The volume of HCl, containing 73 g L $^{- 1}$ , required to completely neutralise NaOH obtained by reacting 0.69 g of metallic sodium with water, is mL. (Nearest Integer) (Given : molar masses of Na, Cl, O, H, are…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q17.The equilibrium constant for the reaction $Zn (s) + S n^{2 +} (aq)$ $⇌$ $Z n^{2 +} (aq) + Sn (s)$ is $1 \times 1 0^{20}$ at 298 K. The magnitude of standard electrode potential of $Sn/S n^{2 +}$ if $E_{Z n^{2 +} /Zn}^{Θ} = - 0.76 V$ …
Chemistry · Electrochemistry · Numerical
Q18.At 298 K $N_{2} (g) + 3 H_{2} (g) ⇌ 2N H_{3} (g), K_{1} = 4 \times 1 0^{5} N_{2} (g) + O_{2} (g) ⇌ 2NO (g), K_{2} = 1.6 \times 1 0^{12} H_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ H_{2} O (g), K_{3} = 1.0 \times 1 0^{- 13}$ …
Chemistry · Chemical Equilibrium · Numerical
Q19.The denticity of the ligand present in the Fehling's reagent is .
Chemistry · Alcohols Phenols and Ethers · Numerical
Q20.When 0.01 mol of an organic compound containing 60% carbon was burnt completely, 4.4 g of CO $_{2}$ was produced. The molar mass of compound is g mol $^{- 1}$ (Nearest integer).
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q21.Total number of acidic oxides among $N_{2} O_{3}, N O_{2}, N_{2} O, C l_{2} O_{7}, S O_{2}, CO, CaO, N a_{2} O$ and $NO$ is .
Chemistry · Periodic Table and Periodicity · Numerical
Q22.Assume that the radius of the first Bohr orbit of hydrogen atom is 0.6 $A o$ . The radius of the third Bohr orbit of He $^{+}$ is picometer. (Nearest Integer)
Chemistry · Structure of Atom · Numerical
Q23.For conversion of compound A $\to$ B, the rate constant of the reaction was found to be $4.6 \times 1 0^{- 5} L mo l^{- 1} s^{- 1}$ . The order of the reaction is .
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q24.Let $y = y (x)$ be the solution of the differential equation $x lo g_{e} x \frac{d y}{d x} + y = x^{2} lo g_{e} x, (x > 1)$ . If $y (2) = 2$ , then $y (e)$ is equal to
Mathematics · Differential Equations · MCQ
Q25.Let R be a relation defined on $N$ as $a R b$ if $2 a + 3 b$ is a multiple of $5, a, b \in N$ . Then R is
Mathematics · Sets and Relations · MCQ
Q26.The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a series. Then the serial number of the word TOUGH is :
Mathematics · Permutations and Combinations · MCQ
Q27.If $a = i + 2 k, b = i + j + k, c = 7 i - 3 j + 4 k, r \times b + b \times c = 0$ …
Mathematics · Vector Algebra · MCQ
Q28.The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48, is :
Mathematics · Permutations and Combinations · MCQ
Q29.Let $S = {w_{1}, w_{2}, ......}$ be the sample space associated to a random experiment. Let $P (w_{n}) = \frac{P ( w _{n - 1} )}{2}, n \geq 2$ . Let $A = {2 k + 3 l : k, l \in N}$ and $B = {w_{n} : n \in A}$ . Then P(B) is equal to :
Mathematics · Probability · MCQ
Q30.Consider a function $f : N \to R$ , satisfying $f (1) + 2 f (2) + 3 f (3) + .... + x f (x) = x (x + 1) f (x); x \geq 2$ with $f (1) = 1$ . Then $\frac{1}{f ( 2022 )} + \frac{1}{f ( 2028 )}$ is equal to
Mathematics · Functions · MCQ
Q31.The set of all values of $λ$ for which the equation $cos^{2} 2 x - 2 sin^{4} x - 2 cos^{2} x = λ$ has a real solution $x$ , is :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q32.The area of the region $A = {(x, y) : ∣ cos x - sin x ∣ \leq y \leq sin x, 0 \leq x \leq \frac{π}{2}}$ is
Mathematics · Area Under the Curves · MCQ
Q33.Let $a = 4 i + 3 j$ and $b = 3 i - 4 j + 5 k$ . If $c$ is a vector such that $c . (a \times b) + 25 = 0, c . (i + j + k) = 4$ …
Mathematics · Vector Algebra · MCQ
Q34.The value of the integral $\int_{1}^{2} (\frac{t ^{4} + 1}{t ^{6} + 1}) d t$ is
Mathematics · Definite Integration · MCQ
Q35.Let K be the sum of the coefficients of the odd powers of $x$ in the expansion of $(1 + x)^{99}$ . Let $a$ be the middle term in the expansion of $(2 + \frac{1}{2})^{200}$ . If $\frac{^{200} C _{99} K}{a} = \frac{2 ^{l} m}{n}$ …
Mathematics · Binomial Theorem · MCQ
Q36.The value of the integral $1/2 \int 2 \frac{t a n ^{- 1} x}{x} d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q37.The shortest distance between the lines $\frac{x - 1}{2} = \frac{y + 8}{- 7} = \frac{z - 4}{5}$ and $\frac{x - 1}{2} = \frac{y - 2}{1} = \frac{z - 6}{- 3}$ is :
Mathematics · 3D Geometry · MCQ
Q38.Let $f$ and $g$ be the twice differentiable functions on $R$ such that $f^{''} (x) = g^{''} (x) + 6 x f^{'} (1) = 4 g^{'} (1) - 3 = 9 f (2) = 3 g (2) = 12$ . Then which of the following is NOT true?
Mathematics · Differentiation · MCQ
Q39.The total number of 4-digit numbers whose greatest common divisor with 54 is 2, is .
Mathematics · Permutations and Combinations · Numerical
Q40.Let $X = {11, 12, 13, ...., 40, 41}$ and $Y = {61, 62, 63, ...., 90, 91}$ be the two sets of observations. If $\overline{x}$ and $\overline{y}$ are their respective means and $σ^{2}$ is the variance of all the observations in $X \cup Y$ ,…
Mathematics · Statistics · Numerical
Q41.Let $α = 8 - 14 i, A = {z \in c : \frac{α z - α z}{z ^{2} - ( z ) ^{2} - 112 i} = 1}$ and $B = {z \in c : ∣ z + 3 i ∣ = 4}$ . Then $z \in A \cap B \sum (Re o l imi t s z - Im o l imi t s z)$ …
Mathematics · Complex Numbers · Numerical
Q42.Let $α_{1}, α_{2}, ...., α_{7}$ be the roots of the equation $x^{7} + 3 x^{5} - 13 x^{3} - 15 x = 0$ and $∣ α_{1} ∣ \geq ∣ α_{2} ∣ \geq ... \geq ∣ α_{7} ∣$ . Then $α_{1} α_{2} - α_{3} α_{4} + α_{5} α_{6}$ is…
Mathematics · Quadratic Equation and Inequalities · Numerical
Q43.Let ${a_{k}}$ and ${b_{k}}, k \in N$ , be two G.P.s with common ratios $r_{1}$ and $r_{2}$ respectively such that $a_{1} = b_{1} = 4$ and $r_{1} < r_{2}$ . Let $c_{k} = a_{k} + b_{k}, k \in N$ . If $c_{2} = 5$ and $c_{3} = \frac{13}{4}$ …
Mathematics · Sequences and Series · Numerical
Q44.Let A be a symmetric matrix such that $∣A∣ = 2$ and $[23 1 \frac{3}{2}] A = [1 α 2 β]$ . If the…
Mathematics · Matrices and Determinants · Numerical
Q45.The ratio of de-Broglie wavelength of an $α$ particle and a proton accelerated from rest by the same potential is $\frac{1}{m}$ , the value of m is -
Physics · Dual Nature of Radiation · MCQ
Q46.A force acts for 20 s on a body of mass 20 kg, starting from rest, after which the force ceases and then body describes 50 m in the next 10 s. The value of force will be:
Physics · Laws of Motion · MCQ
Q47.The equation of a circle is given by $x^{2} + y^{2} = a^{2}$ , where a is the radius. If the equation is modified to change the origin other than (0, 0), then find out the correct dimensions of A and B in a new equation : $(x - A t)^{2} + (y - \frac{t}{B})^{2} = a^{2}$ …
Physics · Units and Measurements · MCQ
Q48.A square loop of area 25 cm $^{2}$ has a resistance of 10 $Ω$ . The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the…
Physics · Electromagnetic Induction · MCQ
Q49.Heat energy of 184 kJ is given to ice of mass 600 g at $- 1 2^{\circ} C$ . Specific heat of ice is $2222.3 J k g^{- 1^{\circ}} C^{- 1}$ and latent heat of ice in 336 $kJ/k g^{- 1}$ A. Final temperature of system will be 0 $^{\circ}$ …
Physics · Heat and Thermodynamics · MCQ
Q50.Identify the correct statements from the following : A. Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket is negative. B. Work done by gravitational force in lifting a bucket out of a well by a rope…
Physics · Work Power and Energy · MCQ
Q51.A scientist is observing a bacteria through a compound microscope. For better analysis and to improve its resolving power he should. (Select the best option)
Physics · Geometrical Optics · MCQ
Q52.Given below are two statements : Statement I : Electromagnetic waves are not deflected by electric and magnetic field. Statement II : The amplitude of electric field and the magnetic field in electromagnetic waves are related to each other…
Physics · Electromagnetic Waves · MCQ
Q53.The time taken by an object to slide down 45 $^{\circ}$ rough inclined plane is n times as it takes to slide down a perfectly smooth 45 $^{\circ}$ incline plane. The coefficient of kinetic friction between the object and the incline plane is :
Physics · Laws of Motion · MCQ
Q54.For the given figures, choose the correct options : Includes diagram
Physics · Alternating Current · MCQ
Q55.An object moves at a constant speed along a circular path in a horizontal plane with center at the origin. When the object is at $x = + 2 m$ , its velocity is $- 4 j$ m/s. The object's velocity (v) and acceleration…
Physics · Circular Motion · MCQ
Q56.The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become.
Physics · Gravitation · MCQ
Q57.The electric current in a circular coil of four turns produces a magnetic induction 32 T at its centre. The coil is unwound and is rewound into a circular coil of single turn, the magnetic induction at the centre of the coil by the same…
Physics · Magnetics · MCQ
Q58.A fully loaded boeing aircraft has a mass of $5.4 \times 1 0^{5}$ kg. Its total wing area is 500 m $^{2}$ . It is in level flight with a speed of 1080 km/h. If the density of air $ρ$ is 1.2 kg m $^{- 3}$ , the fractional increase in the speed of…
Physics · Properties of Matter · MCQ
Q59.For the given logic gates combination, the correct truth table will be Includes diagram
Physics · Electronic Devices · MCQ
Q60.At 300 K, the rms speed of oxygen molecules is $\frac{α + 5}{α}$ times to that of its average speed in the gas. Then, the value of $α$ will be (used $π = \frac{22}{7}$ )
Physics · Heat and Thermodynamics · MCQ
Q61.A point charge $2 \times 1 0^{- 2} C$ is moved from P to S in a uniform electric field of $30 N C^{- 1}$ directed along positive x-axis. If coordinates of P and S are (1, 2, 0) m and (0, 0, 0) m respectively, the work done by…
Physics · Electrostatics · MCQ
Q62.A particle of mass 100 g is projected at time t = 0 with a speed 20 ms $^{- 1}$ at an angle 45 $^{\circ}$ to the horizontal as given in the figure. The magnitude of the angular momentum of the particle about the starting point at time t = 2s… Includes diagram
Physics · Rotational Motion · Numerical
Q63.In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student measures real thickness of the glass slab as 5.25 mm and apparent thickness of the glass slab as 5.00 mm. Travelling…
Physics · Geometrical Optics · Numerical
Q64.An inductor of inductance 2 $μ H$ is connected in series with a resistance, a variable capacitor and an AC source of frequency 7 kHz. The value of capacitance for which maximum current is drawn into the circuit $\frac{1}{x} F$ …
Physics · Alternating Current · Numerical
Q65.A particle of mass 250 g executes a simple harmonic motion under a periodic force $F = (- 25 x) N$ . The particle attains a maximum speed of 4 m/s during its oscillation. The amplitude of the motion is …
Physics · Simple Harmonic Motion · Numerical
Q66.A metal block of base area 0.20 m $^{2}$ is placed on a table, as shown in figure. A liquid film of thickness 0.25 mm is inserted between the block and the table. The block is pushed by a horizontal force of 0.1 N and moves with a constant… Includes diagram
Physics · Properties of Matter · Numerical
Q67.A car is moving on a circular path of radius 600 m such that the magnitudes of the tangential acceleration and centripetal acceleration are equal. The time taken by the car to complete first quarter of revolution, if it is moving with an…
Physics · Circular Motion · Numerical
Q68.Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.8 (medium $- 1$ ) and 6.8 (medium $- 2$ ), respectively. To satisfy the condition, so that the reflected and refracted rays are…
Physics · Wave Optics · Numerical
Q69.For a charged spherical ball, electrostatic potential inside the ball varies with $r$ as $V = 2 a r^{2} + b$ . Here, $a$ and $b$ are constant and r is the distance from the center. The volume charge density inside the ball is $- λa ε$ …
Physics · Electrostatics · Numerical
Q70.When two resistance $R_{1}$ and $R_{2}$ connected in series and introduced into the left gap of a meter bridge and a resistance of 10 $Ω$ is introduced into the right gap, a null point is found at 60 cm from left side.…
Physics · Current Electricity · Numerical