2024 · 27 Jan · Shift 1

90 questions · JEE Main

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2024 · 27 Jan · Shift 1

2024 · 27 Jan · Shift 1

90 questions · JEE Main

Chemistry30 questions Mathematics30 questions Physics30 questions

Q1.Two nucleotides are joined together by a linkage known as :
Chemistry · Biomolecules · MCQ
Q2.Highest enol content will be shown by:
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3.Element not showing variable oxidation state is :
Chemistry · P Block Elements · MCQ
Q4.Which of the following is strongest Bronsted base?
Chemistry · Basics of Organic Chemistry · MCQ
Q5.Which of the following electronic configuration would be associated with the highest magnetic moment?
Chemistry · D and F Block Elements · MCQ
Q6.Which of the following has highly acidic hydrogen?
Chemistry · Basics of Organic Chemistry · MCQ
Q7.A solution of two miscible liquids showing negative deviation from Raoult's law will have :
Chemistry · Solutions · MCQ
Q8.Consider the following complex ions $P = [FeF_{6}]^{3 -} Q = [V (H_{2} O)_{6}]^{2 +} R = [Fe (H_{2} O)_{6}]^{2 +}$ …
Chemistry · Coordination Compounds · MCQ
Q9.Choose the polar molecule from the following:
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q10.Given below are two statements : Statement (I) : The $4 f$ and $5 f$ - series of elements are placed separately in the Periodic table to preserve the principle of classification. Statement (II) : S-block elements can be…
Chemistry · Periodic Table and Periodicity · MCQ
Q11.Given below are two statements : Statement (I) : p-nitrophenol is more acidic than m-nitrophenol and o-nitrophenol. Statement (II) : Ethanol will give immediate turbidity with Lucas reagent. In the light of the above statements, choose the…
Chemistry · Alcohols Phenols and Ethers · MCQ
Q12.The ascending order of acidity of $- OH$ group in the following compounds is : Choose the correct answer from the options given below: Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Melting point of Boron (2453 K) is unusually high in group 13 elements. Reason (R) : Solid Boron has very strong…
Chemistry · P Block Elements · MCQ
Q14.Cyclohexene is type of an organic compound. Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q15.Yellow compound of lead chromate gets dissolved on treatment with hot $NaOH$ solution. The product of lead formed is a :
Chemistry · Coordination Compounds · MCQ
Q16.Given below are two statements : Statement (I) : Aqueous solution of ammonium carbonate is basic. Statement (II) : Acidic/basic nature of salt solution of a salt of weak acid and weak base depends on $K_{a}$ and $K_{b}$ value of acid and the…
Chemistry · Ionic Equilibrium · MCQ
Q17.IUPAC name of following compound (P) is: Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q18. $NaCl$ reacts with conc. $H_{2} SO_{4}$ and $K_{2} Cr_{2} O_{7}$ to give reddish fumes (B), which react with $NaOH$ to give yellow solution (C). (B) and (C) respectively are ;
Chemistry · D and F Block Elements · MCQ
Q19.The correct statement regarding nucleophilic substitution reaction in a chiral alkyl halide is ;
Chemistry · Haloalkanes and Haloarenes · MCQ
Q20.The electronic configuration for Neodymium is: [Atomic Number for Neodymium 60]
Chemistry · D and F Block Elements · MCQ
Q21.The mass of silver (Molar mass of $Ag : 108 gmol^{- 1}$ ) displaced by a quantity of electricity which displaces $5600 mL$ of $O_{2}$ at S.T.P. will be g.
Chemistry · Electrochemistry · Numerical
Q22.Consider the following data for the given reaction $2 HI_{(g)} \to H_{2 (g)} + I_{2 (g)}$ The order of the reaction is . Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q23.Mass of methane required to produce $22 g$ of $CO_{2}$ after complete combustion is g. (Given Molar mass in g mol-1 $C = 12.0$ , $H = 1.0$ , $O = 16.0)$
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q24.If three moles of an ideal gas at $300 K$ expand isothermally from $30 dm^{3}$ to $45 dm^{3}$ against a constant opposing pressure of $80 kPa$ , then the amount of heat transferred is …
Chemistry · Thermodynamics · Numerical
Q25.3-Methylhex-2-ene on reaction with $HBr$ in presence of peroxide forms an addition product (A). The number of possible stereoisomers for ' $A$ ' is .
Chemistry · Basics of Organic Chemistry · Numerical
Q26.Among the given organic compounds, the total number of aromatic compounds is Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q27.Among the following, total number of meta directing functional groups is (Integer based) $- OCH_{3}, - NO_{2}, - CN, - CH_{3} - NHCOCH_{3}, - COR, - OH, - COOH, - Cl$
Chemistry · Basics of Organic Chemistry · Numerical
Q28.The number of electrons present in all the completely filled subshells having $n = 4$ and $s = + \frac{1}{2}$ is . (Where $n =$ principal quantum number and $s =$ spin quantum number)
Chemistry · Structure of Atom · Numerical
Q29.Sum of bond order of CO and NO $^{+}$ is .
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q30.From the given list, the number of compounds with +4 oxidation state of Sulphur . $SO_{3}, H_{2} SO_{3}, SOCl_{2}, SF_{4}, BaSO_{4}, H_{2} S_{2} O_{7}$ …
Chemistry · P Block Elements · Numerical
Q31.If $0 \int 1 \frac{1}{3 + x + 1 + x} d x = a + b 2 + c 3$ , where $a, b, c$ are rational numbers, then $2 a + 3 b - 4 c$ is equal…
Mathematics · Definite Integration · MCQ
Q32.If $S = {z \in C : ∣ z - i ∣ = ∣ z + i ∣ = ∣ z - 1∣}$ , then, $n (S)$ is :
Mathematics · Complex Numbers · MCQ
Q33.Let $S = {1, 2, 3, \dots, 10}$ . Suppose $M$ is the set of all the subsets of $S$ , then the relation $R = {(A, B) : A \cap B e q ϕ; A, B \in M}$ is :
Mathematics · Sets and Relations · MCQ
Q34.If the shortest distance of the parabola $y^{2} = 4 x$ from the centre of the circle $x^{2} + y^{2} - 4 x - 16 y + 64 = 0$ is $d$ , then $d^{2}$ is equal to :
Mathematics · Parabola · MCQ
Q35.If $(a, b)$ be the orthocentre of the triangle whose vertices are $(1, 2), (2, 3)$ and $(3, 1)$ , and $I_{1} = a \int b x sin (4 x - x^{2}) d x, I_{2} = a \int b sin (4 x - x^{2}) d x$ …
Mathematics · Definite Integration · MCQ
Q36.Let $x = x (t)$ and $y = y (t)$ be solutions of the differential equations $\frac{d x}{dt} + a x = 0$ and $\frac{d y}{dt} + by = 0$ respectively, $a, b \in R$ …
Mathematics · Differential Equations · MCQ
Q37.The distance, of the point $(7, - 2, 11)$ from the line $\frac{x - 6}{1} = \frac{y - 4}{0} = \frac{z - 8}{3}$ along the line $\frac{x - 5}{2} = \frac{y - 1}{- 3} = \frac{z - 5}{6}$ , is :
Mathematics · 3D Geometry · MCQ
Q38.The length of the chord of the ellipse $\frac{x ^{2}}{25} + \frac{y ^{2}}{16} = 1$ , whose mid point is $(1, \frac{2}{5})$ , is equal to :
Mathematics · Ellipse · MCQ
Q39.Consider the function. $f (x) = ⎩ ⎨ ⎧ \frac{a ( 7 x - 12 - x ^{2} )}{b ∣ x ^{2} - 7 x + 12 ∣} b, x 3, x = 3,$ where $[x]$ denotes the greatest integer less…
Mathematics · Limits Continuity and Differentiability · MCQ
Q40.If $a = x \to 0 lim \frac{1 + 1 + x ^{4} - 2}{x ^{4}}$ and $b = x \to 0 lim \frac{s i n ^{2} x}{2 - 1 + c o s x}$ , then the value of $a b^{3}$ is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q41.Consider the matrix $f (x) = cos x sin x 0 - sin x cos x 0 001$ . Given below are two statements : Statement I : $f (- x)$ is the inverse of the matrix $f (x)$ …
Mathematics · Matrices and Determinants · MCQ
Q42.Four distinct points $(2 k, 3 k), (1, 0), (0, 1)$ and $(0, 0)$ lie on a circle for $k$ equal to :
Mathematics · Circle · MCQ
Q43.If the shortest distance between the lines $\frac{x - 4}{1} = \frac{y + 1}{2} = \frac{z}{- 3}$ and $\frac{x - λ}{2} = \frac{y + 1}{4} = \frac{z - 2}{- 5}$ is $\frac{6}{5}$ , then the sum of all possible values of $λ$ is :
Mathematics · 3D Geometry · MCQ
Q44.The portion of the line $4 x + 5 y = 20$ in the first quadrant is trisected by the lines $L_{1}$ and $L_{2}$ passing through the origin. The tangent of an angle between the lines $L_{1}$ and $L_{2}$ is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q45. $^{n - 1} C_{r} = (k^{2} - 8)^{n} C_{r + 1}$ if and only if :
Mathematics · Binomial Theorem · MCQ
Q46.The number of common terms in the progressions $4, 9, 14, 19, \dots\dots$ , up to $2 5^{th}$ term and $3, 6, 9, 12, \dots\dots$ , up to $3 7^{th}$ term is :
Mathematics · Sequences and Series · MCQ
Q47.Let $a_{1}, a_{2}, \dots a_{10}$ be 10 observations such that $k = 1 \sum 10 a_{k} = 50$ and $\forall k < j \sum a_{k} \cdot a_{j} = 1100$ …
Mathematics · Statistics · MCQ
Q48.Let $a = \hat{i} + 2 \hat{j} + \hat{k}, b = 3 (\hat{i} - \hat{j} + \hat{k})$ . Let $c$ be the vector such that $a \times c = b$ …
Mathematics · Vector Algebra · MCQ
Q49.If A denotes the sum of all the coefficients in the expansion of $(1 - 3 x + 10 x^{2})^{n}$ and B denotes the sum of all the coefficients in the expansion of $(1 + x^{2})^{n}$ , then :
Mathematics · Binomial Theorem · MCQ
Q50.The function $f : N - {1} \to N$ ; defined by $f (n) =$ the highest prime factor of $n$ , is :
Mathematics · Functions · MCQ
Q51.If $8 = 3 + \frac{1}{4} (3 + p) + \frac{1}{4 ^{2}} (3 + 2 p) + \frac{1}{4 ^{3}} (3 + 3 p) + \dots\dots \infty$ , then the value of $p$ is .
Mathematics · Sequences and Series · Numerical
Q52.If the solution of the differential equation $(2 x + 3 y - 2) d x + (4 x + 6 y - 7) d y = 0, y (0) = 3$ , is $α x + β y + 3 lo g_{e} ∣2 x + 3 y - γ ∣ = 6$ , then $α + 2 β + 3 γ$ is equal to .
Mathematics · Differential Equations · Numerical
Q53.Let $f (x) = x^{3} + x^{2} f^{'} (1) + x f^{''} (2) + f^{'''} (3), x \in R$ . Then $f^{'} (10)$ is equal to .
Mathematics · Differentiation · Numerical
Q54.Let the set of all $a \in R$ such that the equation $cos 2 x + a sin x = 2 a - 7$ has a solution be $[p, q]$ and $r = tan 9^{\circ} - tan 2 7^{\circ} - \frac{1}{c o t 6 3 ^{\circ}} + tan 8 1^{\circ}$ , then pqr is equal to …
Mathematics · Trigonometric Ratio and Identites · Numerical
Q55.Let for a differentiable function $f : (0, \infty) \to R, f (x) - f (y) ⩾ lo g_{e} (\frac{x}{y}) + x - y, \forall x, y \in (0, \infty)$ . Then $n = 1 \sum 20 f^{'} (\frac{1}{n ^{2}})$ …
Mathematics · Application of Derivatives · Numerical
Q56.Let the area of the region ${(x, y) : x - 2 y + 4 ⩾ 0, x + 2 y^{2} ⩾ 0, x + 4 y^{2} \leq 8, y ⩾ 0}$ be $\frac{m}{n}$ , where $m$ and $n$ are coprime numbers. Then $m + n$ …
Mathematics · Area Under the Curves · Numerical
Q57.Let $A = 211010101, B = [B_{1}, B_{2}, B_{3}]$ , where $B_{1}, B_{2}, B_{3}$ are column matrics, and $AB_{1} = 100, AB_{2} = 230, AB_{3} = 321$ …
Mathematics · Matrices and Determinants · Numerical
Q58.The least positive integral value of $α$ , for which the angle between the vectors $α \hat{i} - 2 \hat{j} + 2 \hat{k}$ and $α \hat{i} + 2 α \hat{j} - 2 \hat{k}$ is acute, is .
Mathematics · Vector Algebra · Numerical
Q59.If $α$ satisfies the equation $x^{2} + x + 1 = 0$ and $(1 + α)^{7} = A + B α + C α^{2}, A, B, C ⩾ 0$ , then $5 (3 A - 2 B - C)$ is equal to .
Mathematics · Complex Numbers · Numerical
Q60.A fair die is tossed repeatedly until a six is obtained. Let $X$ denote the number of tosses required and let $a = P (X = 3), b = P (X ⩾ 3)$ and $c = P (X ⩾ 6 ∣ X > 3)$ . Then $\frac{b + c}{a}$ is equal to .
Mathematics · Probability · Numerical
Q61.Position of an ant ( $S$ in metres) moving in $Y$ - $Z$ plane is given by $S = 2 t^{2} \hat{j} + 5 \hat{k}$ (where $t$ is in second). The magnitude and direction of velocity of the ant at $t = 1 s$ will be…
Physics · Motion in A Plane · MCQ
Q62.Given below are two statements : Statement (I) :Viscosity of gases is greater than that of liquids. Statement (II) : Surface tension of a liquid decreases due to the presence of insoluble impurities. In the light of the above statements,…
Physics · Properties of Matter · MCQ
Q63.If the refractive index of the material of a prism is $cot (\frac{A}{2})$ , where $A$ is the angle of prism then the angle of minimum deviation will be
Physics · Geometrical Optics · MCQ
Q64.A proton moving with a constant velocity passes through a region of space without any change in its velocity. If $E$ and $B$ represent the electric and magnetic fields respectively, then…
Physics · Magnetics · MCQ
Q65.The acceleration due to gravity on the surface of earth is $g$ . If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :
Physics · Gravitation · MCQ
Q66.A train is moving with a speed of $12 m / s$ on rails which are $1.5 m$ apart. To negotiate a curve radius $400 m$ , the height by which the outer rail should be raised with respect to the inner rail…
Physics · Circular Motion · MCQ
Q67.Which of the following circuits is reverse - biased?
Physics · Electronic Devices · MCQ
Q68.Identify the physical quantity that cannot be measured using spherometer :
Physics · Geometrical Optics · MCQ
Q69.Two bodies of mass $4 g$ and $25 g$ are moving with equal kinetic energies. The ratio of magnitude of their linear momentum is :
Physics · Center of Mass · MCQ
Q70. $0.08 kg$ air is heated at constant volume through $5^{\circ} C$ . The specific heat of air at constant volume is $0.17 kcal / kg^{\circ} C$ and $J = 4.18$ joule/ $cal$ . The…
Physics · Heat and Thermodynamics · MCQ
Q71.The radius of third stationary orbit of electron for Bohr's atom is R. The radius of fourth stationary orbit will be:
Physics · Atoms and Nuclei · MCQ
Q72.A rectangular loop of length $2.5 m$ and width $2 m$ is placed at $6 0^{\circ}$ to a magnetic field of $4 T$ . The loop is removed from the field in $10 sec$ . The average emf induced in the loop during…
Physics · Electromagnetic Induction · MCQ
Q73.An electric charge $1 0^{- 6} μ C$ is placed at origin $(0, 0) m$ of $X - Y$ co-ordinate system. Two points $P$ and $Q$ are situated at $(3, 3) m$ and $(6, 0) m$ …
Physics · Electrostatics · MCQ
Q74.A convex lens of focal length $40 cm$ forms an image of an extended source of light on a photoelectric cell. A current I is produced. The lens is replaced by another convex lens having the same diameter but focal length $20 cm$ …
Physics · Geometrical Optics · MCQ
Q75.A body of mass $1000 kg$ is moving horizontally with a velocity $6 m / s$ . If $200 kg$ extra mass is added, the final velocity (in $m / s$ ) is:
Physics · Center of Mass · MCQ
Q76.A plane electromagnetic wave propagating in $x$ -direction is described by $E_{y} = (200 Vm^{- 1}) sin [1.5 \times 1 0^{7} t - 0.05 x];$ The intensity of the wave is : (Use $ϵ_{0} = 8.85 \times 1 0^{- 12} C^{2} N^{- 1} m^{- 2}$ …
Physics · Electromagnetic Waves · MCQ
Q77.Given below are two statements : Statement (I) : Planck's constant and angular momentum have same dimensions. Statement (II) : Linear momentum and moment of force have same dimensions. In the light of the above statements, choose the…
Physics · Units and Measurements · MCQ
Q78.A wire of length $10 cm$ and radius $7 \times 1 0^{- 4} m$ connected across the right gap of a meter bridge. When a resistance of $4.5Ω$ is connected on the left gap by using a resistance box, the balance…
Physics · Current Electricity · MCQ
Q79.A wire of resistance $R$ and length $L$ is cut into 5 equal parts. If these parts are joined parallely, then resultant resistance will be :
Physics · Current Electricity · MCQ
Q80.The average kinetic energy of a monatomic molecule is $0.414 eV$ at temperature : (Use $K_{B} = 1.38 \times 1 0^{- 23} J / mol - K$ )
Physics · Heat and Thermodynamics · MCQ
Q81.A particle starts from origin at $t = 0$ with a velocity $5 \hat{i} m / s$ and moves in $x - y$ plane under action of a force which produces a constant acceleration of $(3 \hat{i} + 2 \hat{j}) m / s^{2}$ . If…
Physics · Motion in A Plane · Numerical
Q82.A thin metallic wire having cross sectional area of $1 0^{- 4} m^{2}$ is used to make a ring of radius $30 cm$ . A positive charge of $2 π C$ is uniformly distributed over the ring, while another positive charge…
Physics · Electrostatics · Numerical
Q83.Two coils have mutual inductance $0.002 H$ . The current changes in the first coil according to the relation $i = i_{0} sin ω t$ , where $i_{0} = 5 A$ and $ω = 50 π$ rad/s. The…
Physics · Electromagnetic Induction · Numerical
Q84.Two immiscible liquids of refractive indices $\frac{8}{5}$ and $\frac{3}{2}$ respectively are put in a beaker as shown in the figure. The height of each column is $6 cm$ . A coin is placed at the bottom of the beaker. For near… Includes diagram
Physics · Geometrical Optics · Numerical
Q85.In a nuclear fission process, a high mass nuclide $(A \approx 236)$ with binding energy $7.6 MeV /$ Nucleon dissociated into middle mass nuclides $(A \approx 118)$ , having binding energy of $8.6 MeV / Nucleon$ …
Physics · Atoms and Nuclei · Numerical
Q86.Four particles each of mass $1 kg$ are placed at four corners of a square of side $2 m$ . Moment of inertia of system about an axis perpendicular to its plane and passing through one of its vertex is $kgm^{2}$ … Includes diagram
Physics · Rotational Motion · Numerical
Q87.A particle executes simple harmonic motion with an amplitude of $4 cm$ . At the mean position, velocity of the particle is $10 cm / s$ . The distance of the particle from the mean position when its speed becomes $5 cm / s$ …
Physics · Simple Harmonic Motion · Numerical
Q88.Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the wires is $5.0 cm$ . The magnitude of the magnetic field at a point $P$ midway between the wires is … Includes diagram
Physics · Magnetics · Numerical
Q89.The charge accumulated on the capacitor connected in the following circuit is $μ C$ (Given $C = 150 μ F)$ Includes diagram
Physics · Capacitor · Numerical
Q90.If average depth of an ocean is $4000 m$ and the bulk modulus of water is $2 \times 1 0^{9} Nm^{- 2}$ , then fractional compression $\frac{Δ V}{V}$ of water at the bottom of ocean is $α \times 1 0^{- 2}$ . The value…
Physics · Properties of Matter · Numerical