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2023 · 30 Jan · Shift 2

70 questions · JEE Main

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2023 · 30 Jan · Shift 2

2023 · 30 Jan · Shift 2

70 questions · JEE Main

Chemistry22 questions Mathematics22 questions Physics26 questions

D and F Block ElementsChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Compounds Containing NitrogenChemistry · 2 questions Coordination CompoundsChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Structure of AtomChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions BiomoleculesChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions ThermodynamicsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions SolutionsChemistry · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions StatisticsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Area Under the CurvesMathematics · 2 questions Application of DerivativesMathematics · 1 questions ParabolaMathematics · 1 questions Vector AlgebraMathematics · 1 questions FunctionsMathematics · 2 questions Differential EquationsMathematics · 1 questions Binomial TheoremMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions CircleMathematics · 1 questions 3D GeometryMathematics · 1 questions ProbabilityMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Motion in A Straight LinePhysics · 1 questions Units and MeasurementsPhysics · 1 questions GravitationPhysics · 1 questions Properties of MatterPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Center of MassPhysics · 1 questions Current ElectricityPhysics · 2 questions Alternating CurrentPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Laws of MotionPhysics · 1 questions ElectrostaticsPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions MagneticsPhysics · 2 questions Electronic DevicesPhysics · 1 questions Simple Harmonic MotionPhysics · 2 questions Wave OpticsPhysics · 1 questions Rotational MotionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Circular MotionPhysics · 1 questions

Q1.Formulae for Nessler's reagent is :
Chemistry · D and F Block Elements · MCQ
Q2.Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: can be easily reduced using $Zn - Hg / HCl$ to Reason $R : Zn - Hg / HCl$ … Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3.The most stable carbocation for the following is: Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.Match List I with List II: Includes table
Chemistry · Coordination Compounds · MCQ
Q5.The $Cl - Co - Cl$ bond angle values in a fac- $[Co (NH_{3})_{3} Cl_{3}]$ complex is/are :
Chemistry · Coordination Compounds · MCQ
Q6.Decreasing order towards SN 1 reaction for the following compounds is: Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q7. $KMnO_{4}$ oxidises $I^{-}$ in acidic and neutral/faintly alkaline solutions, respectively, to :
Chemistry · D and F Block Elements · MCQ
Q8.In the above conversion of compound $(X)$ to product $(Y)$ , the sequence of reagents to be used will be: Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q9.Match List I with List II: Includes table
Chemistry · Basics of Organic Chemistry · MCQ
Q10.Maximum number of electrons that can be accommodated in shell with $n = 4$ are:
Chemistry · Structure of Atom · MCQ
Q11.Bond dissociation energy of " $E - H$ " bond of the " $H_{2} E$ " hydrides of group 16 elements (given below), follows order. A. $O$ B. $S$ C. $S e$ D. $Te$ Choose the correct from the options given…
Chemistry · Periodic Table and Periodicity · MCQ
Q12.The correct order of $pK_{a}$ values for the following compounds is: Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13. $1 L, 0.02 M$ solution of $[Co (NH_{3})_{5} SO_{4}]$ Br is mixed with $1 L, 0.02 M$ solution of $[Co (NH_{3})_{5} Br] SO_{4}$ …
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q14.The wave function $(Ψ)$ of $Ψ_{2 s} = \frac{1}{2 2 π} (\frac{1}{a _{0}})^{1/2} (2 - \frac{r}{a _{0}}) e^{- r /2 a_{0}}$ is given by $Ψ_{2 s} = \frac{1}{2 2 π} (\frac{1}{a _{0}})^{1/2} (2 - \frac{r}{a _{0}}) e^{- r /2 a_{0}}$ At $r = r_{0}$ , radial node is formed. Thus, $r_{0}$ in…
Chemistry · Structure of Atom · MCQ
Q15.The strength of 50 volume solution of hydrogen peroxide is $g / L$ (Nearest integer). Given: Molar mass of $H_{2} O_{2}$ is $34 g mol^{- 1}$ Molar volume of gas…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q16.A short peptide on complete hydrolysis produces 3 moles of glycine (G), two moles of leucine (L) and two moles of valine (V) per mole of peptide. The number of peptide linkages in it are .
Chemistry · Biomolecules · Numerical
Q17.Number of compounds from the following which will not dissolve in cold $NaHCO_{3}$ and $NaOH$ solutions but will dissolve in hot $NaOH$ solution is . Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q18.An organic compound undergoes first-order decomposition. If the time taken for the $60%$ decomposition is $90%$ , then the time required for $90%$ decomposition will be s. (Nearest integer). Given:…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q19.1 mole of ideal gas is allowed to expand reversibly and adiabatically from a temperature of $2 7^{\circ} C$ . The work done is $3 kJ mol^{- 1}$ . The final temperature of the gas is $K$ …
Chemistry · Thermodynamics · Numerical
Q20.The electrode potential of the following half cell at $298 K X X^{2 +} (0.001 M) ∥ Y^{2 +} (0.01 M) Y$ is $\times 10^{-2}…
Chemistry · Electrochemistry · Numerical
Q21.Consider the following equation: $2 SO_{2} (g) + O_{2} (g) ⇌ 2 SO_{3} (g), Δ H = - 190 kJ$ The number of factors which will increase the yield of $SO_{3}$ at equilibrium from the…
Chemistry · Chemical Equilibrium · Numerical
Q22.Lead storage battery contains $38%$ by weight solution of $H_{2} SO_{4}$ . The van't Hoff factor is $2.67$ at this concentration. The temperature in Kelvin at which the solution in the battery will freeze is …
Chemistry · Solutions · Numerical
Q23.Let $a_{1} = 1, a_{2}, a_{3}, a_{4}, \dots .$ . be consecutive natural numbers. Then $tan^{- 1} (\frac{1}{1 + a _{1} a _{2}}) + tan^{- 1} (\frac{1}{1 + a _{2} a _{3}}) + \dots .. + tan^{- 1} (\frac{1}{1 + a _{2021} a _{2022}})$ …
Mathematics · Inverse Trigonometric Functions · Multiple correct
Q24.For $α, β \in R$ , suppose the system of linear equations $x - y + z = 5 2 x + 2 y + α z = 8 3 x - y + 4 z = β$ has infinitely many solutions. Then $α$ and $β$ are…
Mathematics · Matrices and Determinants · MCQ
Q25.The number of ways of selecting two numbers $a$ and $b, a \in {2, 4, 6, \dots ., 100}$ and $b \in {1, 3, 5, \dots .., 99}$ such that 2 is the remainder when $a + b$ is divided by 23 is :
Mathematics · Permutations and Combinations · MCQ
Q26.Let $S$ be the set of all values of $a_{1}$ for which the mean deviation about the mean of 100 consecutive positive integers $a_{1}, a_{2}, a_{3}, \dots ., a_{100}$ is 25 . Then $S$ is :
Mathematics · Statistics · MCQ
Q27.Let $a, b, c > 1, a^{3}, b^{3}$ and $c^{3}$ be in A.P., and $lo g_{a} b, lo g_{c} a$ and $lo g_{b} c$ be in G.P. If the sum of first 20 terms of an A.P., whose first term is $\frac{a + 4 b + c}{3}$ and the common difference is $\frac{a - 8 b + c}{10}$ is $- 444$ …
Mathematics · Sequences and Series · MCQ
Q28.Let $h$ and $h$ be the real valued functions defined on $R$ as $f (x) = {\frac{x}{∣ x ∣}, 1, x e q 0 x = 0 g (x) = {\frac{s i n ( x + 1 )}{( x + 1 )}, 1, x e q - 1 x = - 1$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q29.Let $q$ be the maximum integral value of $p$ in $[0, 10]$ for which the roots of the equation $x^{2} - p x + \frac{5}{4} p = 0$ are rational. Then the area of the region ${(x, y) : 0 \leq y \leq (x - q)^{2}, 0 \leq x \leq q}$ is :
Mathematics · Area Under the Curves · MCQ
Q30.If the functions $f (x) = \frac{x ^{3}}{3} + 2 b x + \frac{a x ^{2}}{2}$ and $g (x) = \frac{x ^{3}}{3} + a x + b x^{2}, a e q 2 b$ have a common extreme point, then $a + 2 b + 7$ is equal to :
Mathematics · Application of Derivatives · MCQ
Q31.The parabolas : $a x^{2} + 2 b x + cy = 0$ and $d x^{2} + 2 e x + f y = 0$ intersect on the line $y = 1$ . If $a, b, c, d, e, f$ are positive real numbers and $a, b, c$ are in G.P., then :
Mathematics · Parabola · MCQ
Q32.Let $a$ and $b$ be two vectors, Let $∣ a ∣ = 1, ∣ b ∣ = 4$ and $a \cdot b = 2$ . If $c = (2 a \times b) - 3 b$ , then the value of $b \cdot c$ is :
Mathematics · Vector Algebra · MCQ
Q33.The range of the function $f (x) = 3 - x + 2 + x$ is :
Mathematics · Functions · MCQ
Q34.The solution of the differential equation $\frac{d y}{d x} = - (\frac{x ^{2} + 3 y ^{2}}{3 x ^{2} + y ^{2}}), y (1) = 0$ is :
Mathematics · Differential Equations · MCQ
Q35.Let $x = (83 + 13)^{13}$ and $y = (72 + 9)^{9}$ . If $[t]$ denotes the greatest integer $\leq t$ , then :
Mathematics · Binomial Theorem · MCQ
Q36.Let $A = {1, 2, 3, 5, 8, 9}$ . Then the number of possible functions $f : A \to A$ such that $f (m \cdot n) = f (m) \cdot f (n)$ for every $m, n \in A$ with $m \cdot n \in A$ is equal to .
Mathematics · Functions · Numerical
Q37.The number of seven digits odd numbers, that can be formed using all the seven digits 1, 2, 2, 2, 3, 3, 5 is .
Mathematics · Permutations and Combinations · Numerical
Q38.Let $A$ be the area of the region ${(x, y) : y \geq x^{2}, y \geq (1 - x)^{2}, y \leq 2 x (1 - x)}$ . Then $540 A$ is equal to :
Mathematics · Area Under the Curves · Numerical
Q39.If the value of real number $a > 0$ for which $x^{2} - 5 a x + 1 = 0$ and $x^{2} - a x - 5 = 0$ have a common real root is $\frac{3}{2 β}$ then $β$ is equal to .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q40.Let $P (a_{1}, b_{1})$ and $Q (a_{2}, b_{2})$ be two distinct points on a circle with center $C (2, 3)$ . Let $O$ be the origin and $OC$ be perpendicular to both $CP$ and $CQ$ . If…
Mathematics · Circle · Numerical
Q41.Let a line $L$ pass through the point $P (2, 3, 1)$ and be parallel to the line $x + 3 y - 2 z - 2 = 0 = x - y + 2 z$ . If the distance of $L$ from the point $(5, 3, 8)$ is $α$ , then $3 α^{2}$ is equal to :
Mathematics · 3D Geometry · Numerical
Q42.A bag contains six balls of different colours. Two balls are drawn in succession with replacement. The probability that both the balls are of the same colour is p. Next four balls are drawn in succession with replacement and the…
Mathematics · Probability · Numerical
Q43.If $\int sec 2 x - 1 d x = α lo g_{e} cos 2 x + β + cos 2 x (1 + cos \frac{1}{β} x) +$ constant, then $β - α$ is equal to .
Mathematics · Indefinite Integrals · Numerical
Q44. $5 0^{th}$ root of a number $x$ is 12 and $5 0^{th}$ root of another number $y$ is 18 . Then the remainder obtained on dividing $(x + y)$ by 25 is .
Mathematics · Binomial Theorem · Numerical
Q45.A vehicle travels $3 km / h$ with speed of $3 km / h$ and another $5 km / h$ with speed of $5 km / h$ , then its average speed is
Physics · Motion in A Straight Line · MCQ
Q46.Match List I with List II: Choose the correct answer from the options given below: Includes table
Physics · Units and Measurements · MCQ
Q47.An object is allowed to fall from a height $R$ above the earth, where $R$ is the radius of earth. Its velocity when it strikes the earth's surface, ignoring air resistance, will be
Physics · Gravitation · MCQ
Q48.A force is applied to a steel wire 'A', rigidly clamped at one end. As a result elongation in the wire is $B$ . If same force is applied to another steel wire ' $B$ ' of double the length and a diameter $2.4$ times…
Physics · Properties of Matter · MCQ
Q49.An electron accelerated through a potential difference $V_{1}$ has a de-Broglie wavelength of $λ$ . When the potential is changed to $V_{2}$ , its de-Broglie wavelength increases by $50%$ . The value of $(\frac{V _{1}}{V _{2}})$ …
Physics · Dual Nature of Radiation · MCQ
Q50.A machine gun of mass $20 g$ fires $100 m s^{- 1}$ bullets at the rate of 180 bullets per minute with a speed of $100 m s^{- 1}$ each. The recoil velocity of the gun is
Physics · Center of Mass · MCQ
Q51.The equivalent resistance between $A$ and $B$ is . Includes diagram
Physics · Current Electricity · MCQ
Q52.In the given circuit, rms value of current $(I_{rms})$ through the resistor $R$ is: Includes diagram
Physics · Alternating Current · MCQ
Q53.A thin prism $P_{1}$ with an angle $6^{\circ}$ and made of glass of refractive index $1.54$ is combined with another prism $P_{2}$ made from glass of refractive index $1.72$ to produce dispersion without average deviation. The angle of prism $P_{2}$ …
Physics · Geometrical Optics · MCQ
Q54.A point source of $5%$ emits light with $5%$ efficiency. At a distance of $5 m$ from the source, the intensity produced by the electric field component is:
Physics · Electromagnetic Waves · MCQ
Q55.A block of $3 kg$ is attached to a string whose other end is attached to the wall. An unknown force $F$ is applied so that the string makes an angle of $3 0^{\circ}$ with the wall. The tension $T$ is:… Includes diagram
Physics · Laws of Motion · MCQ
Q56.As shown in the figure, a point charge $Q$ is placed at the centre of conducting spherical shell of inner radius $a$ and outer radius $b$ . The electric field due to charge $Q$ in three different regions $I, II$ … Includes diagram
Physics · Electrostatics · MCQ
Q57.A flask contains hydrogen and oxygen in the ratio of $2 : 1$ by mass at temperature $2 7^{\circ} C$ . The ratio of average kinetic energy per molecule of hydrogen and oxygen respectively is:
Physics · Heat and Thermodynamics · MCQ
Q58.As shown in the figure, a current of $43 cm$ flowing in an equilateral triangle of side $43 cm$ . The magnetic field at the centroid $O$ of the triangle is (Neglect the effect of earth's magnetic field) Includes diagram
Physics · Magnetics · MCQ
Q59.The output $Y$ for the inputs $A$ and $B$ of circuit is given by Truth table of the shown circuit is: Includes diagram
Physics · Electronic Devices · MCQ
Q60.A current carrying rectangular loop PQRS is made of uniform wire. The length $P R = QS = 5 cm$ and $P Q = R S = 100 cm$ . If ammeter current reading changes from I to $2 I$ , the ratio of magnetic forces per unit length on the… Includes diagram
Physics · Magnetics · MCQ
Q61.For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is $ω_{1}$ , the angular frequency is $ω_{1}$ . When the mass block is $2 kg$ the angular frequency… Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q62.In an ac generator, a rectangular coil of 100 turns each having area $14 \times 1 0^{- 2} m^{2}$ is rotated at $360 rev / min$ about an axis perpendicular to a uniform magnetic field of magnitude $3.0…
Physics · Alternating Current · Numerical
Q63.A faulty thermometer reads $5^{\circ} C$ in melting ice and $9 5^{\circ} C$ in stream. The correct temperature on absolute scale will be $K$ when the faulty thermometer reads $4 1^{\circ} C$ …
Physics · Heat and Thermodynamics · Numerical
Q64.In a Young's double slit experiment, the intensities at two points, for the path differences $\frac{λ}{4}$ and $\frac{λ}{3}$ ( $λ$ being the wavelength of light used) are $I_{1}$ and $I_{2}$ respectively. If $I_{0}$ denotes…
Physics · Wave Optics · Numerical
Q65.If the potential difference between $B$ and $D$ is zero, the value of $x$ is $\frac{1}{n} Ω$ . The value of $n$ is . Includes diagram
Physics · Current Electricity · Numerical
Q66.A uniform disc of mass $r$ and radius $r$ is projected with velocity $18 m / s$ at $t = 0$ s on a rough horizontal surface. It starts off with a purely sliding motion at $t = 0 s$ .… Includes diagram
Physics · Rotational Motion · Numerical
Q67.The velocity of a particle executing SHM varies with displacement $(x)$ as $4 v^{2} = 50 - x^{2}$ . The time period of oscillations is $\frac{x}{7} s$ . The value of $x$ is . $($ Take $π = \frac{22}{7})$ …
Physics · Simple Harmonic Motion · Numerical
Q68.A body of mass $4 s$ is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P. Its displacement in $\frac{1}{3} α^{2} P m$ is $\frac{1}{3} α^{2} P m$ . The value of $α$ …
Physics · Work Power and Energy · Numerical
Q69.As shown in figure, a cuboid lies in a region with electric field $E = 2 x^{2} \hat{i} - 4 y \hat{j} + 6 \hat{k} N / C$ . The magnitude of charge within the cuboid is $n \in_{0} C$ . The value of $n$ is… Includes diagram
Physics · Electrostatics · Numerical
Q70.A stone tied to $\frac{1936}{x} m s^{- 2}$ long string at its end is making 28 revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is $\frac{1936}{x} m s^{- 2}$ . The value of $x$ . (Take $π = \frac{22}{7}$ …
Physics · Circular Motion · Numerical