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2023 · 25 Jan · Shift 1

72 questions · JEE Main

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2023 · 25 Jan · Shift 1

2023 · 25 Jan · Shift 1

72 questions · JEE Main

Chemistry23 questions Mathematics23 questions Physics26 questions

Periodic Table and PeriodicityChemistry · 1 questions HydrocarbonsChemistry · 1 questions Alcohols Phenols and EthersChemistry · 2 questions BiomoleculesChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Salt AnalysisChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Structure of AtomChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Redox ReactionsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions SolutionsChemistry · 1 questions ThermodynamicsChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Vector AlgebraMathematics · 1 questions Definite IntegrationMathematics · 1 questions Application of DerivativesMathematics · 2 questions StatisticsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions ProbabilityMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions 3D GeometryMathematics · 2 questions DifferentiationMathematics · 1 questions CircleMathematics · 1 questions Complex NumbersMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Differential EquationsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Sets and RelationsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions FunctionsMathematics · 1 questions LogarithmMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions CapacitorPhysics · 1 questions Properties of MatterPhysics · 2 questions Heat and ThermodynamicsPhysics · 1 questions Electronic DevicesPhysics · 1 questions MagneticsPhysics · 1 questions Wave OpticsPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions GravitationPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Current ElectricityPhysics · 2 questions Magnetic Properties of MatterPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Rotational MotionPhysics · 2 questions Alternating CurrentPhysics · 2 questions Circular MotionPhysics · 1 questions Vector AlgebraPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Atoms and NucleiPhysics · 1 questions WavesPhysics · 1 questions ElectrostaticsPhysics · 1 questions

Q1.Inert gases have positive electron gain enthalpy. Its correct order is :
Chemistry · Periodic Table and Periodicity · MCQ
Q2.The correct sequence of reagents for the preparation of Q and R is : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q3.In the cumene to phenol preparation in presence of air, the intermediate is
Chemistry · Alcohols Phenols and Ethers · MCQ
Q4.Match items of Row I with those of Row II. Row I : Row II : (i) $α$ - $D$ - $(-)$ - $Fructofuranose$ (ii) $β$ -D- $(-)$ -Fructofuranose (iii) $α$ -D- $(-)$ Glucopyranose (iv) $β$ -D- $(-)$ -Glucopyranose Correct match… Includes diagram
Chemistry · Biomolecules · MCQ
Q5.The compound which will have the lowest rate towards nucleophilic aromatic substitution on treatment with OH $^{-}$ is
Chemistry · Haloalkanes and Haloarenes · MCQ
Q6.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Salt Analysis · MCQ
Q7.Identify the product formed (A and E) Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q8.'25 volume' hydrogen peroxide means
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q9.The radius of the $2^{nd}$ orbit of $L i^{2 +}$ is $x$ . The expected radius of the $3^{rd}$ orbit of $B e^{3 +}$ is
Chemistry · Structure of Atom · MCQ
Q10.Which of the following conformations will be the most stable?
Chemistry · Basics of Organic Chemistry · MCQ
Q11.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R : Assertion A : Acetal / Ketal is stable in basic medium. Reason R : The high leaving tendency of alkoxide ion gives the stability to…
Chemistry · Alcohols Phenols and Ethers · MCQ
Q12.The correct order in aqueous medium of basic strength in case of methyl substituted amines is :
Chemistry · Basics of Organic Chemistry · MCQ
Q13.Match the List-I with List-II : Correct match is - Includes table
Chemistry · Salt Analysis · MCQ
Q14.The density of a monobasic strong acid (Molar mass 24.2 g/mol) is 1.21 kg/L. The volume of its solution required for the complete neutralization of 25 mL of 0.24 M NaOH is $\times$ 10 $^{- 2}$ mL (Nearest integer)
Chemistry · Redox Reactions · Numerical
Q15.A litre of buffer solution contains 0.1 mole of each of NH $_{3}$ and NH $_{4}$ Cl. On the addition of 0.02 mole of HCl by dissolving gaseous HCl, the pH of the solution is found to be $\times$ 10 $^{- 3}$ (Nearest…
Chemistry · Ionic Equilibrium · Numerical
Q16.Consider the cell $Pt (s) ∣ H_{2} (g) (1 atm) ∣ H^{+} (aq, [H^{+}] = 1) ∣∣F e^{3 +} (aq), F e^{2 +} (aq) ∣Pt (s)$ Given $E_{F e^{3 +} /F e^{2 +}}^{o} = 0.771 V$ and $E_{H^{+} /1/2 H_{2}}^{o} = 0 V, T = 298 K$ …
Chemistry · Electrochemistry · Numerical
Q17.The osmotic pressure of solutions of PVC in cyclohexanone at 300 K are plotted on the graph. The molar mass of PVC is g mol $^{- 1}$ (Nearest integer) (Given : R = 0.083 L atm K $^{- 1}$ mol $^{- 1}$ ) Includes diagram
Chemistry · Solutions · Numerical
Q18.In sulphur estimation, 0.471 g of an organic compound gave 1.4439 g of barium sulphate. The percentage of sulphur in the compound is (Nearest Integer) (Given : Atomic mass Ba: 137 u, S: 32 u, O: 16 u)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q19.An athlete is given 100 g of glucose (C $_{6}$ H $_{12}$ O $_{6}$ ) for energy. This is equivalent to 1800kJ of energy. The 50% of this energy gained is utilized by the athlete for sports activities at the event. In order to avoid storage of…
Chemistry · Thermodynamics · Numerical
Q20.How many of the following metal ions have similar value of spin only magnetic moment in gaseous state? (Given : Atomic number V, 23; Cr, 24; Fe, 26; Ni, 28) V $^{3 +}$ , Cr $^{3 +}$ , Fe $^{2 +}$ , Ni $^{3 +}$
Chemistry · D and F Block Elements · Numerical
Q21.The number of paramagnetic species from the following is . $[Ni (CN)_{4}]^{2 -}, [Ni (CO)_{4}], [NiC l_{4}]^{2 -} [Fe (CN)_{6}]^{4 -}, [Cu (N H_{3})_{4}]^{2 +} [Fe (CN)_{6}]^{3 -} and [Fe (H_{2} O)_{6}]^{2 +}$ …
Chemistry · Coordination Compounds · Numerical
Q22.For the first order reaction A $\to$ B, the half life is 30 min. The time taken for 75% completion of the reaction is min. (Nearest integer) Given : log 2 = 0.3010 log 3 = 0.4771 log 5 = 0.6989
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q23.The total number of lone pairs of electrons on oxygen atoms of ozone is .
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q24.The vector $a = - i + 2 j + k$ is rotated through a right angle, passing through the y-axis in its way and the resulting vector is $b$ . Then the projection of $3 a + 2 b$ …
Mathematics · Vector Algebra · MCQ
Q25.The minimum value of the function $f (x) = 0 \int 2 e^{∣ x - t ∣} d t$ is :
Mathematics · Definite Integration · MCQ
Q26.Let $x = 2$ be a local minima of the function $f (x) = 2 x^{4} - 18 x^{2} + 8 x + 12, x \in (- 4, 4)$ . If M is local maximum value of the function $f$ in ( $- 4, 4)$ , then M =
Mathematics · Application of Derivatives · MCQ
Q27.The mean and variance of the marks obtained by the students in a test are 10 and 4 respectively. Later, the marks of one of the students is increased from 8 to 12. If the new mean of the marks is 10.2, then their new variance is equal to :
Mathematics · Statistics · MCQ
Q28.The value of $n \to \infty lim \frac{1 + 2 - 3 + 4 + 5 - 6 + ..... + ( 3 n - 2 ) + ( 3 n - 1 ) - 3 n}{2 n ^{4} + 4 n + 3 - n ^{4} + 5 n + 4}$ is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q29.Let M be the maximum value of the product of two positive integers when their sum is 66. Let the sample space $S = {x \in Z : x (66 - x) \geq \frac{5}{9} M}$ and the event $A = {x \in S : x is a multiple of 3}$ …
Mathematics · Probability · MCQ
Q30.Let $f (x) = \int \frac{2 x}{( x ^{2} + 1 ) ( x ^{2} + 3 )} d x$ . If $f (3) = \frac{1}{2} (lo g_{e} 5 - lo g_{e} 6)$ , then $f (4)$ is equal to
Mathematics · Indefinite Integrals · MCQ
Q31.The distance of the point P(4, 6, $-$ 2) from the line passing through the point ( $-$ 3, 2, 3) and parallel to a line with direction ratios 3, 3, $-$ 1 is equal to :
Mathematics · 3D Geometry · MCQ
Q32.Let $y (x) = (1 + x) (1 + x^{2}) (1 + x^{4}) (1 + x^{8}) (1 + x^{16})$ . Then $y^{'} - y^{''}$ at $x = - 1$ is equal to
Mathematics · Differentiation · MCQ
Q33.Consider the lines $L_{1}$ and $L_{2}$ given by $L_{1} : \frac{x - 1}{2} = \frac{y - 3}{1} = \frac{z - 2}{2} L_{2} : \frac{x - 2}{1} = \frac{y - 2}{2} = \frac{z - 3}{3}$ . A line $L_{3}$ having direction ratios 1, $-$ 1, $-$ 2,…
Mathematics · 3D Geometry · MCQ
Q34.The points of intersection of the line $a x + b y = 0, (a e b)$ and the circle $x^{2} + y^{2} - 2 x = 0$ are $A (α, 0)$ and $B (1, β)$ . The image of the circle with AB as a diameter in the line $x + y + 2 = 0$ is :
Mathematics · Circle · MCQ
Q35.Let $z_{1} = 2 + 3i$ and $z_{2} = 3 + 4i$ . The set $S = {z \in C : ∣ z - z_{1} ∣^{2} - ∣ z - z_{2} ∣^{2} = ∣ z_{1} - z_{2} ∣^{2}}$ represents a
Mathematics · Complex Numbers · MCQ
Q36.Let S $_{1}$ and S $_{2}$ be respectively the sets of all $a \in R - {0}$ for which the system of linear equations $a x + 2 a y - 3 a z = 1 (2 a + 1) x + (2 a + 3) y + (a + 1) z = 2 (3 a + 5) x + (a + 5) y + (a + 2) z = 3$ has unique solution and…
Mathematics · Matrices and Determinants · MCQ
Q37.Let $y = y (x)$ be the solution curve of the differential equation $\frac{d y}{d x} = \frac{y}{x} (1 + x y^{2} (1 + lo g_{e} x)), x > 0, y (1) = 3$ . Then $\frac{y ^{2} ( x )}{9}$ is equal to :
Mathematics · Differential Equations · MCQ
Q38.Let $f : (0, 1) \to R$ be a function defined $f (x) = \frac{1}{1 - e ^{- x}}$ , and $g (x) = (f (- x) - f (x))$ . Consider two statements (I) g is an increasing function in (0, 1) (II) g is one-one in (0, 1) Then,
Mathematics · Application of Derivatives · MCQ
Q39.The constant term in the expansion of $(2 x + \frac{1}{x ^{7}} + 3 x^{2})^{5}$ is .
Mathematics · Binomial Theorem · Numerical
Q40.Let S = {1, 2, 3, 5, 7, 10, 11}. The number of non-empty subsets of S that have the sum of all elements a multiple of 3, is .
Mathematics · Sets and Relations · Numerical
Q41.Let $x$ and $y$ be distinct integers where $1 \leq x \leq 25$ and $1 \leq y \leq 25$ . Then, the number of ways of choosing $x$ and $y$ , such that $x + y$ is divisible by 5, is .
Mathematics · Permutations and Combinations · Numerical
Q42.For some a, b, c $f (x) = a x - 3$ , let $f (x) = a x - 3$ and $g (x) = x^{b} + c, x \in R$ . If $(f o g)^{- 1} (x) = (\frac{x - 7}{2})^{1/3}$ , then $(f o g) (a c) + (g o f) (b)$ is equal to .
Mathematics · Functions · Numerical
Q43.Let $S = {α : lo g_{2} (9^{2 α - 4} + 13) - lo g_{2} (\frac{5}{2} . 3^{2 α - 4} + 1) = 2}$ . Then the maximum value of $β$ for which the equation $x^{2} - 2 (α \in s \sum α)^{2} x + α \in s \sum (α + 1)^{2} β = 0$ …
Mathematics · Logarithm · Numerical
Q44.Let $A_{1}, A_{2}, A_{3}$ be the three A.P. with the same common difference d and having their first terms as $A, A + 1, A + 2$ , respectively. Let a, b, c be the $7^{th}, 9^{th}, 1 7^{th}$ terms of $A_{1}, A_{2}, A_{3}$ ,…
Mathematics · Matrices and Determinants · Numerical
Q45.If the area enclosed by the parabolas $P_{1} : 2y = 5 x^{2}$ and $P_{2} : x^{2} - y + 6 = 0$ is equal to the area enclosed by $P_{1}$ and $y = α x, α > 0$ , then $α^{3}$ is equal to .
Mathematics · Area Under the Curves · Numerical
Q46.If the sum of all the solutions of $tan^{- 1} (\frac{2 x}{1 - x ^{2}}) + cot^{- 1} (\frac{1 - x ^{2}}{2 x}) = \frac{π}{3}, - 1 < x < 1, x e 0$ , is $α - \frac{4}{3}$ , then $α$ …
Mathematics · Inverse Trigonometric Functions · Numerical
Q47.A parallel plate capacitor has plate area 40 cm $^{2}$ and plates separation 2 mm. The space between the plates is filled with a dielectric medium of a thickness 1 mm and dielectric constant 5. The capacitance of the system is :
Physics · Capacitor · MCQ
Q48.Match List I with List II Choose the correct answer from the options given below : Includes table
Physics · Properties of Matter · MCQ
Q49.The root mean square velocity of molecules of gas is
Physics · Heat and Thermodynamics · MCQ
Q50.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Photodiodes are used in forward bias usually for measuring the light intensity. Reason R : For a p-n junction diode, at…
Physics · Electronic Devices · MCQ
Q51.Match List I with List II Choose the correct answer from the options given below : Includes table Includes diagram
Physics · Magnetics · MCQ
Q52.In Young's double slits experiment, the position of 5 $^{th}$ bright fringe from the central maximum is 5 cm. The distance between slits and screen is 1 m and wavelength of used monochromatic light is 600 nm. The separation…
Physics · Wave Optics · MCQ
Q53.T is the time period of simple pendulum on the earth's surface. Its time period becomes $x$ T when taken to a height R (equal to earth's radius) above the earth's surface. Then, the value of $x$ will be :
Physics · Simple Harmonic Motion · MCQ
Q54.Assume that the earth is a solid sphere of uniform density and a tunnel is dug along its diameter throughout the earth. It is found that when a particle is released in this tunnel, it executes a simple harmonic motion. The mass of the…
Physics · Gravitation · MCQ
Q55.A car travels a distance of ' $x$ ' with speed $v_{1}$ and then same distance ' $x$ ' with speed $v_{2}$ in the same direction. The average speed of the car is :
Physics · Motion in A Straight Line · MCQ
Q56.Electron beam used in an electron microscope, when accelerated by a voltage of 20 kV, has a de-Broglie wavelength of $λ_{0}$ . IF the voltage is increased to 40 kV, then the de-Broglie wavelength associated with the electron beam would…
Physics · Dual Nature of Radiation · MCQ
Q57.A uniform metallic wire carries a current 2 A, when 3.4 V battery is connected across it. The mass of uniform metallic wire is 8.92 $\times$ 10 $^{- 3}$ kg, density is 8.92 $\times$ 10 $^{3}$ kg/m $^{3}$ and resistivity is 1.7 $\times$ 10 $^{- 8} Ω$ …
Physics · Current Electricity · MCQ
Q58.A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long and 0.2 m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is :
Physics · Magnetic Properties of Matter · MCQ
Q59.An electromagnetic wave is transporting energy in the negative $z$ direction. At a certain point and certain time the direction of electric field of the wave is along positive $y$ direction. What will be the direction of the magnetic field…
Physics · Electromagnetic Waves · MCQ
Q60.An object of mass 8 kg is hanging from one end of a uniform rod CD of mass 2 kg and length 1 m pivoted at its end C on a vertical wall as shown in figure. It is supported by a cable AB such that the system is in equilibrium. The tension in… Includes diagram
Physics · Rotational Motion · MCQ
Q61.In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes $x$ times its initial resonant frequency $ω_{0}$ . The value of $x$ is :
Physics · Alternating Current · MCQ
Q62.A car is moving with a constant speed of 20 m/s in a circular horizontal track of radius 40 m. A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be : (Take g = 10 m/s $^{2}$ )
Physics · Circular Motion · MCQ
Q63.If $P = 3 i + 3 j + 2 k$ and $Q = 4 i + 3 j + 2.5 k$ then, the unit vector in the direction of $P \times Q$ …
Physics · Vector Algebra · Numerical
Q64. $I_{CM}$ is the moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to the plane of disc. $I_{AB}$ is it's moment of inertia about an axis AB perpendicular to plane and… Includes diagram
Physics · Rotational Motion · Numerical
Q65.An object of mass 'm' initially at rest on a smooth horizontal plane starts moving under the action of force F = 2N. In the process of its linear motion, the angle $θ$ (as shown in figure) between the direction of force and horizontal… Includes diagram
Physics · Work Power and Energy · Numerical
Q66.A ray of light is incident from air on a glass plate having thickness $3$ cm and refractive index $2$ . The angle of incidence of a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray…
Physics · Geometrical Optics · Numerical
Q67.The wavelength of the radiation emitted is $λ_{0}$ when an electron jumps from the second excited state to the first excited state of hydrogen atom. If the electron jumps from the third excited state to the second orbit of the hydrogen…
Physics · Atoms and Nuclei · Numerical
Q68.The distance between two consecutive points with phase difference of 60 $^{\circ}$ in a wave of frequency 500 Hz is 6.0 m. The velocity with which wave is travelling is km/s
Physics · Waves · Numerical
Q69.As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of 45 $^{\circ}$ with the load axis. The length… Includes diagram
Physics · Properties of Matter · Numerical
Q70.An LCR series circuit of capacitance 62.5 nF and resistance of 50 $Ω$ , is connected to an A.C. source of frequency 2.0 kHz. For maximum value of amplitude of current in circuit, the value of inductance is …
Physics · Alternating Current · Numerical
Q71.In the given circuit, the equivalent resistance between the terminal A and B is $Ω$ . Includes diagram
Physics · Current Electricity · Numerical
Q72.A uniform electric field of 10 N/C is created between two parallel charged plates (as shown in figure). An electron enters the field symmetrically between the plates with a kinetic energy 0.5 eV. The length of each plate is 10 cm. The… Includes diagram
Physics · Electrostatics · Numerical