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2023 · 24 Jan · Shift 1

70 questions · JEE Main

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2023 · 24 Jan · Shift 1

2023 · 24 Jan · Shift 1

70 questions · JEE Main

Chemistry23 questions Mathematics21 questions Physics26 questions

Coordination CompoundsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 2 questions D and F Block ElementsChemistry · 1 questions HydrocarbonsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Structure of AtomChemistry · 3 questions SolutionsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions ThermodynamicsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions BiomoleculesChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions Complex NumbersMathematics · 1 questions ProbabilityMathematics · 2 questions Sets and RelationsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Inverse Trigonometric FunctionsMathematics · 1 questions Differential EquationsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions Matrices and DeterminantsMathematics · 1 questions Sequences and SeriesMathematics · 2 questions Vector AlgebraMathematics · 1 questions 3D GeometryMathematics · 1 questions EllipseMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions Definite IntegrationMathematics · 2 questions Electronic DevicesPhysics · 1 questions Laws of MotionPhysics · 2 questions Wave OpticsPhysics · 1 questions Properties of MatterPhysics · 1 questions GravitationPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions MagneticsPhysics · 2 questions ElectrostaticsPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Current ElectricityPhysics · 2 questions WavesPhysics · 1 questions Motion in A PlanePhysics · 1 questions Units and MeasurementsPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Vector AlgebraPhysics · 1 questions Rotational MotionPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Work Power and EnergyPhysics · 1 questions

Q1.The primary and secondary valencies of cobalt respectively in $[Co (N H_{3})_{5} Cl] C l_{2}$ are :
Chemistry · Coordination Compounds · MCQ
Q2.'A' and 'B' formed in the following set of reactions are : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q3.Decreasing order of the hydrogen bonding in following forms of water is correctly represented by A. Liquid water B. Ice C. Impure water Choose the correct answer from the options given below :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q4.Assertion A : Hydrolysis of an alkyl chloride is a slow reaction but in the presence of NaI, the rate of the hydrolysis increases. Reason R : I $^{-}$ is a good nucleophile as well as a good leaving group. In the light of the above…
Chemistry · Haloalkanes and Haloarenes · MCQ
Q5.An ammoniacal metal salt solution gives a brilliant red precipitate on addition of dimethylglyoxime. The metal ion is :
Chemistry · D and F Block Elements · MCQ
Q6.In the following given reaction, 'A' is Includes diagram
Chemistry · Hydrocarbons · MCQ
Q7.'R' formed in the following sequence of reactions is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q8.The magnetic moment of a transition metal compound has been calculated to be 3.87 B.M. The metal ion is
Chemistry · Structure of Atom · MCQ
Q9.Compound (X) undergoes following sequence of reactions to give the Lactone (Y). Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.In the depression of freezing point experiment A. Vapour pressure of the solution is less than that of pure solvent B. Vapour pressure of the solution is more than that of pure solvent C. Only solute molecules solidify at the freezing…
Chemistry · Solutions · MCQ
Q11.Order of Covalent bond; A. $KF > KI; LiF > KF$ B. $KF < KI; LiF > KF$ C. $SnC l_{4} > SnC l_{2}; CuCl > NaCl$ D. $LiF > KF; CuCl < NaCl$ E. $KF < KI; CuCl > NaCl$ Choose the…
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q12.It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power "n" i.e. $v^{n}$ of X-rays emitted is plotted against atomic number "Z", following graph is obtained. The value of 'n' is : Includes diagram
Chemistry · Structure of Atom · MCQ
Q13.Increasing order of stability of the resonance structures is : Choose the correct answer from the options given below : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q14.For independent process at 300 K The number of non-spontaneous process from the following is Includes table
Chemistry · Thermodynamics · Numerical
Q15.When $F e_{0.93} O$ is heated in presence of oxygen, it converts to $F e_{2} O_{3}$ . The number of correct statement/s from the following is A. The equivalent weight of $F e_{0.93} O$ is $\frac{Molecular weight}{0.79}$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q16.5 g of NaOH was dissolved in deionized water to prepare a 450 mL stock solution. What volume (in mL) of this solution would be required to prepare 500 mL of 0.1 M solution? Given : Molar Mass of Na, O and H is…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q17.Uracil is a base present in RNA with the following structure. % of N in uracil is Given: Molar mass N = 14 g mol $^{- 1}$ O = 16 g mol $^{- 1}$ C = 12 g mol $^{- 1}$ H = 1 g mol $^{- 1}$ Includes diagram
Chemistry · Biomolecules · Numerical
Q18.Number of moles of AgCl formed in the following reaction is Includes diagram
Chemistry · Haloalkanes and Haloarenes · Numerical
Q19.The number of correct statement/s from the following is A. Larger the activation energy, smaller is the value of the rate constant. B. The higher is the activation energy, higher is the value of the temperature…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q20.The dissociation constant of acetic acid is $x \times 1 0^{- 5}$ . When 25 mL of 0.2 $M C H_{3} COONa$ solution is mixed with 25 mL of 0.02 $M C H_{3} COOH$ solution, the pH of the resultant solution is found to be equal to 5. The…
Chemistry · Ionic Equilibrium · Numerical
Q21.At 298 K, a 1 litre solution containing 10 mmol of $C r_{2} O_{7}^{2 -}$ and 100 mmol of $C r^{3 +}$ shows a pH of 3.0. Given : $C r_{2} O_{7}^{2 -} \to C r^{3 +}; E^{\circ} = 1.330$ V and $\frac{2.303 RT}{F} = 0.059$ …
Chemistry · Electrochemistry · Numerical
Q22.The d-electronic configuration of $[CoC l_{4}]^{2 -}$ in tetrahedral crystal field in $e^{m} t_{2}^{n}$ . Sum of "m" and "number of unpaired electrons" is
Chemistry · Coordination Compounds · Numerical
Q23.If wavelength of the first line of the Paschen series of hydrogen atom is 720 nm, then the wavelength of the second line of this series is nm. (Nearest integer)
Chemistry · Structure of Atom · Numerical
Q24.Let $p, q \in R$ and $(1 - 3 i)^{200} = 2^{199} (p + i q), i = - 1$ then $p + q + q^{2}$ and $p - q + q^{2}$ are roots of the equation.
Mathematics · Complex Numbers · MCQ
Q25.Let N denote the number that turns up when a fair die is rolled. If the probability that the system of equations $x + y + z = 12 x + N y + 2 z = 23 x + 3 y + N z = 3$ has unique solution is $\frac{k}{6}$ , then the sum of value…
Mathematics · Probability · MCQ
Q26.The relation $R = {(a, b) : g cd (a, b) = 1, 2aeb, a, b \in Z}$ is :
Mathematics · Sets and Relations · MCQ
Q27. $t \to 0 lim (1^{\frac{1}{s i n ^{2} t}} + 2^{\frac{1}{s i n ^{2} t}} + ... + n^{\frac{1}{s i n ^{2} t}})^{s i n^{2} t}$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q28. $tan^{- 1} (\frac{1 + 3}{3 + 3}) + sec^{- 1} (\frac{8 + 4 3}{6 + 3 3})$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q29.Let $y = y (x)$ be the solution of the differential equation $x^{3} d y + (x y - 1) d x = 0, x > 0, y (\frac{1}{2}) = 3 - e$ . Then y (1) is equal to
Mathematics · Differential Equations · MCQ
Q30.Let $Ω$ be the sample space and $A \subseteq Ω$ be an event. Given below are two statements : (S1) : If P(A) = 0, then A = $ϕ$ (S2) : If P(A) = 1, then A = $Ω$ Then :
Mathematics · Probability · MCQ
Q31.The area enclosed by the curves $y^{2} + 4 x = 4$ and $y - 2 x = 2$ is :
Mathematics · Area Under the Curves · MCQ
Q32.The equation $x^{2} - 4 x + [x] + 3 = x [x]$ , where $[x]$ denotes the greatest integer function, has :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q33.If A and B are two non-zero n $\times$ n matrices such that $A^{2} + B = A^{2} B$ , then :
Mathematics · Matrices and Determinants · MCQ
Q34.For three positive integers p, q, r, $x^{p q^{2}} = y^{q r} = z^{p^{2} r}$ and r = pq + 1 such that 3, 3 log $_{y} x$ , 3 log $_{z} y$ , 7 log $_{x} z$ are in A.P. with common difference $\frac{1}{2}$ . Then r-p-q is equal to
Mathematics · Sequences and Series · MCQ
Q35.Let PQR be a triangle. The points A, B and C are on the sides QR, RP and PQ respectively such that $\frac{Q A}{A R} = \frac{R B}{B P} = \frac{P C}{C Q} = \frac{1}{2}$ . Then $\frac{A r e a ( Δ P QR )}{A r e a ( Δ A B C )}$ is equal…
Mathematics · Vector Algebra · MCQ
Q36.Let $f (x) = {x^{2} sin (\frac{1}{x}) 0, x e 0, x = 0$ Then at $x = 0$
Mathematics · Limits Continuity and Differentiability · MCQ
Q37.Let $λ \in R$ and let the equation E be $∣ x ∣^{2} - 2∣ x ∣ + ∣ λ - 3∣ = 0$ . Then the largest element in the set S = { $x + λ : x$ is an integer solution of E} is
Mathematics · Quadratic Equation and Inequalities · Numerical
Q38.The shortest distance between the lines $\frac{x - 2}{3} = \frac{y + 1}{2} = \frac{z - 6}{2}$ and $\frac{x - 6}{3} = \frac{1 - y}{2} = \frac{z + 8}{0}$ is equal to
Mathematics · 3D Geometry · Numerical
Q39.The 4 $^{th}$ term of GP is 500 and its common ratio is $\frac{1}{m}, m \in N$ . Let $S_{n}$ denote the sum of the first n terms of this GP. If $S_{6} > S_{5} + 1$ and $S_{7} < S_{6} + \frac{1}{2}$ , then…
Mathematics · Sequences and Series · Numerical
Q40.Let C be the largest circle centred at (2, 0) and inscribed in the ellipse $\frac{x ^{2}}{36} + \frac{y ^{2}}{16} = 1$ . If (1, $α$ ) lies on C, then 10 $α^{2}$ is equal to
Mathematics · Ellipse · Numerical
Q41.A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can choose at most two language courses, then the number of ways he can choose five courses is
Mathematics · Permutations and Combinations · Numerical
Q42.The value of $12 0 \int 3 x^{2} - 3 x + 2 d x$ is
Mathematics · Definite Integration · Numerical
Q43.The value of $\frac{8}{π} 0 \int \frac{π}{2} \frac{( c o s x ) ^{2023}}{( s i n x ) ^{2023} + ( c o s x ) ^{2023}} d x$ is
Mathematics · Definite Integration · Numerical
Q44.The number of 9 digit numbers, that can be formed using all the digits of the number 123412341 so that the even digits occupy only even places, is .
Mathematics · Permutations and Combinations · Numerical
Q45.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Photodiodes are preferably operated in reverse bias condition for light intensity measurement. Reason R : The current in…
Physics · Electronic Devices · MCQ
Q46.As per given figure, a weightless pulley P is attached on a double inclined frictionless surfaces. The tension in the string (massless) will be (if g = 10 m/s $^{2}$ ) Includes diagram
Physics · Laws of Motion · MCQ
Q47.Given below are two statements : Statement I : If the Brewster's angle for the light propagating from air to glass is $θ_{B}$ , then the Brewster's angle for the light propagating from glass to air is $\frac{π}{2} - θ_{B}$ …
Physics · Wave Optics · MCQ
Q48.A 100 m long wire having cross-sectional area $6.25 \times 1 0^{- 4} m^{2}$ and Young's modulus is $1 0^{10} N m^{- 2}$ is subjected to a load of 250 N, then the elongation in the wire will be :
Physics · Properties of Matter · MCQ
Q49.The weight of a body at the surface of earth is 18 N. The weight of the body at an altitude of 3200 km above the earth's surface is (given, radius of earth $R_{e} = 6400 km$ ) :
Physics · Gravitation · MCQ
Q50.From the photoelectric effect experiment, following observations are made. Identify which of these are correct. A. The stopping potential depends only on the work function of the metal. B. The saturation current increases as the intensity…
Physics · Dual Nature of Radiation · MCQ
Q51.Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5 cm distance. Magnitude of magnetic force experienced by 10 cm length of wire P is F $_{1}$ . If distance between wires is halved and…
Physics · Magnetics · MCQ
Q52.A circular loop of radius $r$ is carrying current I A. The ratio of magnetic field at the center of circular loop and at a distance r from the center of the loop on its axis is :
Physics · Magnetics · MCQ
Q53.If two charges q $_{1}$ and q $_{2}$ are separated with distance 'd' and placed in a medium of dielectric constant K. What will be the equivalent distance between charges in air for the same electrostatic force?
Physics · Electrostatics · MCQ
Q54.A conducting circular loop of radius $\frac{10}{π}$ cm is placed perpendicular to a uniform magnetic field of 0.5 T. The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25 s…
Physics · Electromagnetic Induction · MCQ
Q55.1 g of a liquid is converted to vapour at 3 $\times$ 10 $^{5}$ Pa pressure. If 10% of the heat supplied is used for increasing the volume by 1600 cm $^{3}$ during this phase change, then the increase in internal energy in the process will be :
Physics · Heat and Thermodynamics · MCQ
Q56.As shown in the figure, a network of resistors is connected to a battery of 24V with an internal resistance of 3 $Ω$ . The currents through the resistors R $_{4}$ and R $_{5}$ are I $_{4}$ and I $_{5}$ respectively. The values of I $_{4}$ and I $_{5}$ … Includes diagram
Physics · Current Electricity · MCQ
Q57.A travelling wave is described by the equation $y (x, t) = [0.05 sin (8 x - 4 t)]$ m The velocity of the wave is : [all the quantities are in SI unit]
Physics · Waves · MCQ
Q58.The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto which he can throw the same ball is :
Physics · Motion in A Plane · MCQ
Q59.Given below are two statements : Statement I : The temperature of a gas is $- 7 3^{\circ}$ C. When the gas is heated to $52 7^{\circ}$ C, the root mean square speed of the molecules is doubled. Statement II : The product of pressure and volume of…
Physics · Heat and Thermodynamics · MCQ
Q60.Match List I with List II Choose the correct answer from the options given below : Includes table
Physics · Units and Measurements · MCQ
Q61.Given below are two statements : Statement I : An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable. Statement II : Force exerted by the floor of an elevator on the foot of a person…
Physics · Laws of Motion · MCQ
Q62.In $E$ and $K$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by : ( $ω$ - angular frequency) :
Physics · Electromagnetic Waves · MCQ
Q63.A hollow cylindrical conductor has length of 3.14 m, while its inner and outer diameters are 4 mm and 8 mm respectively. The resistance of the conductor is $n \times 1 0^{- 3} Ω$ . If the resistivity of the material is $2.4 \times 1 0^{- 8} Ωm$ …
Physics · Current Electricity · Numerical
Q64.A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure). When the mass is displaced… Includes diagram
Physics · Simple Harmonic Motion · Numerical
Q65.Vectors $a i + b j + k$ and $2 i - 3 j + 4 k$ are perpendicular to each other when $3 a + 2 b = 7$ , the ratio of $a$ to $b$ is $\frac{x}{2}$ . The value of $x$ is .
Physics · Vector Algebra · Numerical
Q66.A hole is drilled in a metal sheet. At $2 7^{\circ} C$ , the diameter of hole is 5 cm. When the sheet is heated to $17 7^{\circ} C$ , the change in the diameter of hole is $d \times 1 0^{- 3}$ cm. The value of d will be …
Physics · Heat and Thermodynamics · Numerical
Q67.Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm then its radius of gyration about PQ will be $x$ cm. The value of $x$ is . Includes diagram
Physics · Rotational Motion · Numerical
Q68.As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is used to image an object placed at infinity. The radius of curvature of both the lenses is 30 cm and refraction index of the material for… Includes diagram
Physics · Geometrical Optics · Numerical
Q69.A stream of a positively charged particles having $\frac{q}{m} = 2 \times 1 0^{11} \frac{C}{k g}$ and velocity $v_{0} = 3 \times 1 0^{7} i m / s$ is deflected by an electric field $1.8 j$ kV/m. The…
Physics · Electrostatics · Numerical
Q70.A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at the end of $5^{th}$ second. The force acted on the body is N.
Physics · Work Power and Energy · Numerical