2024 · 5 Apr · Shift 2

90 questions · JEE Main

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2024 · 5 Apr · Shift 2

2024 · 5 Apr · Shift 2

90 questions · JEE Main

Chemistry30 questions Mathematics30 questions Physics30 questions

Q1.The number of complexes from the following with no electrons in the $t_{2}$ orbital is . $TiCl_{4}, [MnO_{4}]^{-}, [FeO_{4}]^{2 -}, [FeCl_{4}]^{-}, [CoCl_{4}]^{2 -}$ …
Chemistry · Coordination Compounds · MCQ
Q2.Match List I with List II. Choose the correct answer from the options given below : Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q3.The correct nomenclature for the following compound is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q4.Given below are two statements : Statement I : On passing $HCl_{(g)}$ through a saturated solution of $BaCl_{2}$ , at room temperature white turbidity appears. Statement II : When $HCl$ gas is passed…
Chemistry · Chemical Equilibrium · MCQ
Q5.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Chemistry · Basics of Organic Chemistry · MCQ
Q6.While preparing crystals of Mohr's salt, dil $H_{2} SO_{4}$ is added to a mixture of ferrous sulphate and ammonium sulphate, before dissolving this mixture in water, dil $H_{2} S O_{4}$ is added here to :
Chemistry · D and F Block Elements · MCQ
Q7.Identify the major product in the following reaction. Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q8.Identify A and B in the given chemical reaction sequence : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q9.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : $NH_{3}$ and $NF_{3}$ molecule have pyramidal shape with a lone pair of electrons on nitrogen atom.…
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q10.Consider the given chemical reaction : Product "A" is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q11.The correct statements from the following are : (A) The decreasing order of atomic radii of group 13 elements is $Tl > In > Ga > Al > B$ . (B) Down the group 13 electronegativity decreases…
Chemistry · P Block Elements · MCQ
Q12.Consider the above reaction sequence and identify the major product P. Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.Coagulation of egg, on heating is because of :
Chemistry · Biomolecules · MCQ
Q14.Which one of the following reactions is NOT possible?
Chemistry · Alcohols Phenols and Ethers · MCQ
Q15.The number of ions from the following that have the ability to liberate hydrogen from a dilute acid is . $Ti^{2 +}, Cr^{2 +} and V^{2 +}$
Chemistry · D and F Block Elements · MCQ
Q16.The number of moles of methane required to produce $11 g CO_{2} (g)$ after complete combustion is : (Given molar mass of methane in $g mol^{- 1} : 16$ )
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q17.The quantity of silver deposited when one coulomb charge is passed through $AgNO_{3}$ solution :
Chemistry · Electrochemistry · MCQ
Q18.The metal atom present in the complex MABXL (where A, B, X and L are unidentate ligands and $M$ is metal) involves $sp^{3}$ hybridization. The number of geometrical isomers exhibited by the complex is :
Chemistry · Coordination Compounds · MCQ
Q19.For the electro chemical cell $M M^{2 +} ∣ X ∣ X^{2 -}$ If $E_{(M^{2 +} / M)}^{0} = 0.46 V$ and $E_{(x / x^{2 -})}^{0} = 0.34 V$ …
Chemistry · Electrochemistry · MCQ
Q20.Given below are two statements : Statement I : The metallic radius of $Na$ is $1.86 A^{\circ}$ and the ionic radius of $Na^{+}$ is lesser than $1.86 A^{\circ}$ Statement II : Ions are always smaller in…
Chemistry · Periodic Table and Periodicity · MCQ
Q21.In an atom, total number of electrons having quantum numbers $n = 4, ∣ m_{l} ∣ = 1$ and $m_{s} = - \frac{1}{2}$ is .
Chemistry · Structure of Atom · Numerical
Q22.The product C in the following sequence of reactions has $π$ bonds. Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q23.Using the given figure, the ratio of $R_{f}$ values of sample $A$ and sample $C$ is $x \times 1 0^{- 2}$ . Value of $x$ is . Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q24.Considering acetic acid dissociates in water, its dissociation constant is $6.25 \times 1 0^{- 5}$ . If $5 mL$ of acetic acid is dissolved in 1 litre water, the solution will freeze at $- x \times 1 0^{- 2}^{\circ} C$ ,…
Chemistry · Solutions · Numerical
Q25.Consider the following single step reaction in gas phase at constant temperature. $2 A_{(g)} + B_{(g)} \to C_{(g)}$ The initial rate of the reaction is recorded as $r_{1}$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q26.The fusion of chromite ore with sodium carbonate in the presence of air leads to the formation of products $A$ and $B$ along with the evolution of $CO_{2}$ . The sum of spin-only magnetic moment values of A and B is…
Chemistry · D and F Block Elements · Numerical
Q27.In the Claisen-Schmidt reaction to prepare $351 g$ of dibenzalacetone using $87 g$ of acetone, the amount of benzaldehyde required is g. (Nearest integer)
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q28.Combustion of 1 mole of benzene is expressed at $C_{6} H_{6} (l) + \frac{15}{2} O_{2} (g) \to 6 CO_{2} (g) + 3 H_{2} O (l) .$ The standard…
Chemistry · Thermodynamics · Numerical
Q29. $X g$ of ethanamine was subjected to reaction with $NaNO_{2} / HCl$ followed by hydrolysis to liberate $N_{2}$ and $HCl$ . The $HCl$ generated was completely neutralised by 0.2…
Chemistry · Compounds Containing Nitrogen · Numerical
Q30.Number of compounds from the following with zero dipole moment is . $HF, H_{2}, H_{2} S, CO_{2}, NH_{3}, BF_{3}, CH_{4}, CHCl_{3}, SiF_{4}, H_{2} O, BeF_{2}$ …
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q31.Let the circle $C_{1} : x^{2} + y^{2} - 2 (x + y) + 1 = 0$ and $C_{2}$ be a circle having centre at $(- 1, 0)$ and radius 2 . If the line of the common chord of $C_{1}$ and $C_{2}$ intersects the $y$ -axis at the point…
Mathematics · Circle · MCQ
Q32.Let $f, g : R \to R$ be defined as : $f (x) = ∣ x - 1∣ and g (x) = {e^{x}, x + 1, x \geq 0 x \leq 0.$ Then the function $f (g (x))$ is
Mathematics · Functions · MCQ
Q33.Let ABCD and AEFG be squares of side 4 and 2 units, respectively. The point E is on the line segment AB and the point F is on the diagonal AC. Then the radius r of the circle passing through the point F and touching the line segments BC…
Mathematics · Circle · MCQ
Q34.Let $(α, β, γ)$ be the image of the point $(8, 5, 7)$ in the line $\frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z - 2}{5}$ . Then $α + β + γ$ is equal to :
Mathematics · 3D Geometry · MCQ
Q35.Let $S_{1} = {z \in C : ∣ z ∣ \leq 5}, S_{2} = {z \in C : Im (\frac{z + 1 - 3 i}{1 - 3 i}) \geq 0}$ and $S_{3} = {z \in C : Re (z) \geq 0}$ . Then the area of the…
Mathematics · Complex Numbers · MCQ
Q36.If the constant term in the expansion of $(\frac{5 3}{x} + \frac{2 x}{3 5})^{12}, x e q 0$ , is $α \times 2^{8} \times 53$ , then $25 α$ is equal to :
Mathematics · Binomial Theorem · MCQ
Q37.Let $a = 2 \hat{i} + 5 \hat{j} - \hat{k}, b = 2 \hat{i} - 2 \hat{j} + 2 \hat{k}$ and $c$ be three vectors such that $(c + \hat{i}) \times (a + b + \hat{i}) = a \times (c + \hat{i})$ . If $a \cdot c = - 29$ …
Mathematics · Vector Algebra · MCQ
Q38.Let $A (- 1, 1)$ and $B (2, 3)$ be two points and $P$ be a variable point above the line $AB$ such that the area of $△ PAB$ is 10. If the locus of $P$ is $\mathrm{a}…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q39.The values of $m, n$ , for which the system of equations $x + y + z = 4, 2 x + 5 y + 5 z = 17, x + 2 y + m z = n$ has infinitely many solutions, satisfy the equation :
Mathematics · Matrices and Determinants · MCQ
Q40.If $y (θ) = \frac{2 c o s θ + c o s 2 θ}{c o s 3 θ + 4 c o s 2 θ + 5 c o s θ + 2}$ , then at $θ = \frac{π}{2}, y^{''} + y^{'} + y$ is equal to :
Mathematics · Differentiation · MCQ
Q41.Let $β (m, n) = 0 \int 1 x^{m - 1} (1 - x)^{n - 1} d x, m, n > 0$ . If $0 \int 1 (1 - x^{10})^{20} d x = a \times β (b, c)$ …
Mathematics · Definite Integration · MCQ
Q42.Let , $f : [- 1, 2] \to R$ be given by $f (x) = 2 x^{2} + x + [x^{2}] - [x]$ , where $[t]$ denotes the greatest integer less than or equal to $t$ . The number of points, where $f$ is not continuous, is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q43.Let the set $S = {2, 4, 8, 16, \dots, 512}$ be partitioned into 3 sets $A, B, C$ with equal number of elements such that $A \cup B \cup C = S$ and $A \cap B = B \cap C = A \cap C = ϕ$ …
Mathematics · Permutations and Combinations · MCQ
Q44.The coefficients $a, b, c$ in the quadratic equation $a x^{2} + bx + c = 0$ are from the set ${1, 2, 3, 4, 5, 6}$ . If the probability of this equation having one real root bigger than the other is…
Mathematics · Probability · MCQ
Q45.Let $α β e q 0$ and $A = β α - β α α α 3 β 2 α$ . If $B = 3 α - α - 2 α - 9 75 3 α - 2 α - 2 β$ …
Mathematics · Matrices and Determinants · MCQ
Q46.For $x ⩾ 0$ , the least value of $K$ , for which $4^{1 + x} + 4^{1 - x}, \frac{K}{2}, 1 6^{x} + 1 6^{- x}$ are three consecutive terms of an A.P., is equal to :
Mathematics · Sequences and Series · MCQ
Q47.The area enclosed between the curves $y = x ∣ x ∣$ and $y = x - ∣ x ∣$ is :
Mathematics · Area Under the Curves · MCQ
Q48.60 words can be made using all the letters of the word $BHBJO$ , with or without meaning. If these words are written as in a dictionary, then the $5 0^{th}$ word is:
Mathematics · Permutations and Combinations · MCQ
Q49.Consider three vectors $a, b, c$ . Let $∣ a ∣ = 2, ∣ b ∣ = 3$ and $a = b \times c$ . If $α \in [0, \frac{π}{3}]$ is the angle between the vectors $b$ and $c$ , then the…
Mathematics · Vector Algebra · MCQ
Q50.The differential equation of the family of circles passing through the origin and having centre at the line $y = x$ is :
Mathematics · Differential Equations · MCQ
Q51.Let $y = y (x)$ be the solution of the differential equation $\frac{d y}{d x} + \frac{2 x}{( 1 + x ^{2} ) ^{2}} y = x e^{\frac{1}{( 1 + x ^{2} )}}; y (0) = 0.$ Then the area enclosed by the curve $f (x) = y (x) e^{- \frac{1}{( 1 + x ^{2} )}}$ …
Mathematics · Differential Equations · Numerical
Q52.Let the mean and the standard deviation of the probability distribution be $μ$ and $σ$ , respectively. If $σ - μ = 2$ , then $σ + μ$ is equal to . Includes table
Mathematics · Statistics · Numerical
Q53.Let the maximum and minimum values of $(8 x - x^{2} - 12 - 4)^{2} + (x - 7)^{2}, x \in R$ be $M$ and $m$ , respectively. Then $M^{2} - m^{2}$ is equal to .
Mathematics · Application of Derivatives · Numerical
Q54.Let the point $(- 1, α, β)$ lie on the line of the shortest distance between the lines $\frac{x + 2}{- 3} = \frac{y - 2}{4} = \frac{z - 5}{2}$ and $\frac{x + 2}{- 1} = \frac{y + 6}{2} = \frac{z - 1}{0}$ . Then $(α - β)^{2}$ is equal to …
Mathematics · 3D Geometry · Numerical
Q55.If $1 + \frac{3 - 2}{2 3} + \frac{5 - 2 6}{18} + \frac{9 3 - 11 2}{36 3} + \frac{49 - 20 6}{180} + \dots$ upto $\infty = 2 + (\frac{b}{a} + 1) lo g_{e} (\frac{a}{b})$ , where a…
Mathematics · Sequences and Series · Numerical
Q56.Let $a > 0$ be a root of the equation $2 x^{2} + x - 2 = 0$ . If $lim_{x \to \frac{1}{a}} \frac{16 ( 1 - c o s ( 2 + x - 2 x ^{2} ) )}{( 1 - a x ) ^{2}} = α + β 17$ , where $α, β \in Z$ , then $α + β$ …
Mathematics · Limits Continuity and Differentiability · Numerical
Q57.If $f (t) = 0 \int π \frac{2 x d x}{1 - c o s ^{2} t s i n ^{2} x}, 0 < t < π$ , then the value of $0 \int \frac{π}{2} \frac{π ^{2} dt}{f ( t )}$ equals .
Mathematics · Definite Integration · Numerical
Q58.The number of real solutions of the equation $x ∣ x + 5∣ + 2∣ x + 7∣ - 2 = 0$ is .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q59.The number of solutions of $sin^{2} x + (2 + 2 x - x^{2}) sin x - 3 (x - 1)^{2} = 0$ , where $- π \leq x \leq π$ , is .
Mathematics · Trigonometric Functions and Equations · Numerical
Q60.Let a line perpendicular to the line $2 x - y = 10$ touch the parabola $y^{2} = 4 (x - 9)$ at the point P. The distance of the point P from the centre of the circle $x^{2} + y^{2} - 14 x - 8 y + 56 = 0$ is .
Mathematics · Parabola · Numerical
Q61.A body is moving unidirectionally under the influence of a constant power source. Its displacement in time t is proportional to :
Physics · Work Power and Energy · MCQ
Q62.What is the dimensional formula of $a b^{- 1}$ in the equation $(P + \frac{a}{V ^{2}}) (V - b) = RT$ , where letters have their usual meaning.
Physics · Units and Measurements · MCQ
Q63.A particle moves in $x$ - $y$ plane under the influence of a force $F$ such that its linear momentum is $p (t) = \hat{i} cos (kt) - \hat{j} sin (kt)$ . If $k$ is constant, the…
Physics · Laws of Motion · MCQ
Q64.Match List I with List II : Choose the correct answer from the options given below : Includes table
Physics · Electromagnetic Waves · MCQ
Q65.During an adiabatic process, if the pressure of a gas is found to be proportional to the cube of its absolute temperature, then the ratio of $\frac{C _{P}}{C _{V}}$ for the gas is :
Physics · Heat and Thermodynamics · MCQ
Q66.A heavy box of mass $50 kg$ is moving on a horizontal surface. If co-efficient of kinetic friction between the box and horizontal surface is 0.3 then force of kinetic friction is :
Physics · Laws of Motion · MCQ
Q67.A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius $9 m$ and completes 120 resolutions in 3 minutes. The magnitude of centripetal acceleration of monkey is (in $m / s^{2}$ …
Physics · Circular Motion · MCQ
Q68.A series LCR circuit is subjected to an ac signal of $200 V, 50 Hz$ . If the voltage across the inductor $(L = 10 mH)$ is $31.4 V$ , then the current in this circuit is…
Physics · Alternating Current · MCQ
Q69.Which of the following statement is not true about stopping potential $(V_{0})$ ?
Physics · Dual Nature of Radiation · MCQ
Q70.Given below are two statements : Statement I : When the white light passed through a prism, the red light bends lesser than yellow and violet. Statement II : The refractive indices are different for different wavelengths in dispersive…
Physics · Wave Optics · MCQ
Q71.Match List I with List II : Choose the correct answer from the options given below : Includes table
Physics · Properties of Matter · MCQ
Q72.A satellite revolving around a planet in stationary orbit has time period 6 hours. The mass of planet is one-fourth the mass of earth. The radius orbit of planet is : (Given $=$ Radius of geo-stationary orbit for earth is $4.2 \times 1 0^{4} km$ …
Physics · Gravitation · MCQ
Q73.A vernier callipers has 20 divisions on the vernier scale, which coincides with $1 9^{th}$ division on the main scale. The least count of the instrument is $0.1 mm$ . One main scale division is equal to …
Physics · Units and Measurements · MCQ
Q74.The ratio of heat dissipated per second through the resistance $5Ω$ and $10Ω$ in the circuit given below is: Includes diagram
Physics · Current Electricity · MCQ
Q75.The output (Y) of logic circuit given below is 0 only when : Includes diagram
Physics · Electronic Devices · MCQ
Q76.The angular momentum of an electron in a hydrogen atom is proportional to : (Where $r$ is the radius of orbit of electron)
Physics · Atoms and Nuclei · MCQ
Q77.The vehicles carrying inflammable fluids usually have metallic chains touching the ground:
Physics · Electrostatics · MCQ
Q78.A galvanometer of resistance $100Ω$ when connected in series with $400Ω$ measures a voltage of upto $10 V$ . The value of resistance required to convert the galvanometer into ammeter to read upto $10 A$ is $x \times 1 0^{- 2} Ω$ …
Physics · Current Electricity · MCQ
Q79.The electrostatic force $(F_{1})$ and magnetic force $(F_{2})$ acting on a charge $q$ moving with velocity $v$ can be written :
Physics · Magnetics · MCQ
Q80.If $n$ is the number density and $d$ is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e. mean free path) is represented by :
Physics · Heat and Thermodynamics · MCQ
Q81.The electric field at point $p$ due to an electric dipole is $E$ . The electric field at point $R$ on equitorial line will be $\frac{E}{x}$ . The value of $x$ : Includes diagram
Physics · Electrostatics · Numerical
Q82.A sonometer wire of resonating length $90 cm$ has a fundamental frequency of $400 Hz$ when kept under some tension. The resonating length of the wire with fundamental frequency of $600 Hz$ under same tension …
Physics · Waves · Numerical
Q83.In a single slit experiment, a parallel beam of green light of wavelength $550 nm$ passes through a slit of width $0.20 mm$ . The transmitted light is collected on a screen $100 cm$ away. The distance of first…
Physics · Wave Optics · Numerical
Q84.A hollow sphere is rolling on a plane surface about its axis of symmetry. The ratio of rotational kinetic energy to its total kinetic energy is $\frac{x}{5}$ . The value of $x$ is .
Physics · Rotational Motion · Numerical
Q85.A wire of resistance $20Ω$ is divided into 10 equal parts, resulting pairs. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in series. The equivalent…
Physics · Current Electricity · Numerical
Q86.The maximum height reached by a projectile is $64 m$ . If the initial velocity is halved, the new maximum height of the projectile is $m$ .
Physics · Motion in A Plane · Numerical
Q87.The shortest wavelength of the spectral lines in the Lyman series of hydrogen spectrum is $915 A o$ . The longest wavelength of spectral lines in the Balmer series will be $A o$ .
Physics · Atoms and Nuclei · Numerical
Q88.The current in an inductor is given by $I = (3 t + 8)$ where $t$ is in second. The magnitude of induced emf produced in the inductor is $12 mV$ . The self-inductance of the inductor $mH$ …
Physics · Electromagnetic Induction · Numerical
Q89.A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of $10 N$ is applied on the surface of water in the thinner arm. The force required to be applied on the surface of water in the… Includes diagram
Physics · Properties of Matter · Numerical
Q90.A solenoid of length $0.5 m$ has a radius of $1 cm$ and is made up of ' $m$ ' number of turns. It carries a current of $5 A$ . If the magnitude of the magnetic field inside the solenoid is $6.28 \times 1 0^{- 3} T$ …
Physics · Magnetics · Numerical