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JEE Main 2024 1 Feb Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 20241 Feb, Evening shift

Physics 25Chemistry 26Mathematics 30

Physics

Q58A particular hydrogen-like ion emits the radiation of frequency 3 × 10¹⁵ ~Hz when it makes transition from n=2 to n=1. The frequency of radiation emitted in…Atoms and Nuclei
Q64A coil of 200 turns and area 0.20 ~m² is rotated at half a revolution per second and is placed in uniform magnetic field of 0.01 ~T perpendicular to axis of…Electromagnetic Induction and Alternating Currents
Q66Suppose a uniformly charged wall provides a uniform electric field of 2 × 10⁴ ~N / C normally. A charged particle of mass 2 ~g being suspended through a silk…Electrostatics
Q72A moving coil galvanometer has 100 turns and each turn has an area of 2.0 ~cm². The magnetic field produced by the magnet is 0.01 ~T and the deflection in the…Magnetic Effects of Current and Magnetism
Q74A particle initially at rest starts moving from reference point x=0 along x -axis, with velocity v that varies as v=4 √(x) ~m / s. The acceleration of the…Kinematics
Q75One end of a metal wire is fixed to a ceiling and a load of 2 ~kg hangs from the other end. A similar wire is attached to the bottom of the load and another…Properties of Solids and Liquids
Q77A uniform rod A B of mass 2 ~kg and length 30 ~cm at rest on a smooth horizontal surface. An impulse of force 0.2 ~Ns is applied to end B. The time taken by…Rotational Motion
Q78A mass m is suspended from a spring of negligible mass and the system oscillates with a frequency f₁. The frequency of oscillations if a mass 9 ~m is…Oscillations and Waves
Q81In Young's double slit experiment, monochromatic light of wavelength 5000 Å is used. The slits are 1.0 ~mm apart and screen is placed at 1.0 ~m away from…Optics
Q6022From the statements given below: (A) The angular momentum of an electron in n^(th) orbit is an integral multiple of. (B) Nuclear forces do not obey inverse…Atoms and Nuclei
Q6478In an ammeter, 5% of the main current passes through the galvanometer. If resistance of the galvanometer is G, the resistance of ammeter will be:Current Electricity
Q6492In a metre-bridge when a resistance in the left gap is 2 Ω and unknown resistance in the right gap, the balance length is found to be 40 ~cm. On shunting the…Current Electricity
Q6607Monochromatic light of frequency 6 × 10¹⁴ ~Hz is produced by a laser. The power emitted is 2 × 10⁻³ ~W. How many photons per second on an average, are emitted…Dual Nature of Matter and Radiation
Q6608Conductivity of a photodiode starts changing only if the wavelength of incident light is less than 660 ~nm. The band gap of photodiode is found to be (X/8)…Dual Nature of Matter and Radiation
Q6690A transformer has an efficiency of 80% and works at 10 ~V and 4 ~kW. If the secondary voltage is 240 ~V, then the current in the secondary coil is:Electromagnetic Induction and Alternating Currents
Q6818If frequency of electromagnetic wave is 60 ~MHz and it travels in air along z direction then the corresponding electric and magnetic field vectors will be…Electromagnetic Waves
Q7282A light planet is revolving around a massive star in a circular orbit of radius R with a period of revolution T. If the force of attraction between planet and…Gravitation
Q7426If the root mean square velocity of hydrogen molecule at a given temperature and pressure is 2 ~km / s, the root mean square velocity of oxygen at the same…Kinetic Theory of Gases
Q7501A diatomic gas (γ=1.4) does 200 ~J of work when it is expanded isobarically. The heat given to the gas in the process is:Thermodynamics
Q7599A body of mass 4 ~kg experiences two forces F₁=5 i+8 j+7 k and F₂=3 i-4 j-3 k. The acceleration acting on the body is:Laws of Motion
Q7600A cricket player catches a ball of mass 120 ~g moving with 25 ~m / s speed. If the catching process is completed in 0.1 ~s then the magnitude of force exerted…Laws of Motion
Q7879Train A is moving along two parallel rail tracks towards north with speed 72 ~km / h and train B is moving towards south with speed 108 ~km / h. Velocity of…Kinematics
Q8030A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become:Properties of Solids and Liquids
Q8316Match List - I with List - II. table width: 100%; border-collapse: collapse; table, th, td border: 1px solid black; th, td padding: 10px; text-align: center…Units and Measurements
Q8404A microwave of wavelength 2.0 ~cm falls normally on a slit of width 4.0 ~cm. The angular spread of the central maxima of the diffraction pattern obtained on a…Optics

Chemistry

Q5Total number of isomeric compounds (including stereoisomers) formed by monochlorination of 2-methylbutane is _ _ _ _.Some Basic Principles of Organic Chemistry
Q7The number of tripeptides formed by three different amino acids using each amino acid once is _ _ _.Biomolecules
Q9The following data were obtained during the first order thermal decomposition of a gas A at constant volume: A(g) → 2 ~B(~g)+C(g) S.No. | Time /s | Total…Chemical Kinetics
Q15The amount of electricity in Coulomb required for the oxidation of 1 ~mol of H₂ O to O₂ is _ _ _ _ _ × 10⁵ C.Redox Reactions and Electrochemistry
Q16Consider the following redox reaction: MnO₄⁻+H⁺+H₂ C₂ O₄ Mn²⁺+H₂ O+CO₂ The standard reduction potentials are given as below (E red ⁰): E MnO₄⁻ / Mn²⁺…Redox Reactions and Electrochemistry
Q22Following Kjeldahl's method, 1 ~g of organic compound released ammonia, that neutralised 10 ~mL of 2 M ~H₂ SO₄. The percentage of nitrogen in the compound is…Principles Related to Practical Chemistry
Q23Mass of ethylene glycol (antifreeze) to be added to 18.6 ~kg of water to protect the freezing point at -24^(°) C is _ _ _ _ kg (Molar mass in g ~mol⁻¹ for…Solutions
Q2410 ~mL of gaseous hydrocarbon on combustion gives 40 ~mL of CO₂(~g) and 50 ~mL of water vapour. Total number of carbon and hydrogen atoms in the hydrocarbon…Some Basic Concepts in Chemistry
Q26For a certain reaction at 300 ~K, ~K=10, then Δ G^(°) for the same reaction is - _ _ _ _ _ _ × 10⁻¹ ~kJ ~mol⁻¹. (Given R=8.314 JK⁻¹ ~mol⁻¹)Chemical Thermodynamics
Q33Match List - I with List - II. table border-collapse: collapse; width: 100%; th, td border: 1px solid black; padding: 8px; text-align: left; th…Organic Compounds Containing Oxygen
Q61Which among the followng has highest boiling point?Organic Compounds Containing Oxygen
Q86The set of meta directing functional groups from the following sets is:Some Basic Principles of Organic Chemistry
Q87The functional group that shows negative resonance effect is:Some Basic Principles of Organic Chemistry
Q140Lassaigne's test is used for detection of:Some Basic Principles of Organic Chemistry
Q384Given below are two statements: Statement (I): A π bonding MO has lower electron density above and below the inter-nuclear axis. Statement (II): The π^…Chemical Bonding and Molecular Structure
Q520Match List - I with List - II. table border-collapse: collapse; width: 100%; th, td border: 1px solid black; padding: 8px; text-align: left; th…Chemistry in Everyday Life
Q572Given below are two statements: Statement (I): Dimethyl glyoxime forms a six-membered covalent chelate when treated with NiCl₂ solution in presence of NH₄ OH…Coordination Compounds
Q649[Co(NH₃)₆]³⁺ and [CoF₆]³⁻ are respectively known as:Coordination Compounds
Q650Which of the following compounds show colour due to d-d transition?Coordination Compounds
Q900Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): In aqueous solutions Cr²⁺ is reducing…d- and f-Block Elements
Q1347Solubility of calcium phosphate (molecular mass, M) in water is W g per 100 ~mL at 25^(°) C. Its solubility product at 25^(°) C will be approximately.Equilibrium
Q1476Given below are two statements: Statement (I): SiO₂ and GeO₂ are acidic while SnO and PbO are amphoteric in nature. Statement (II): Allotropic forms of carbon…p-Block Elements
Q1497The strongest reducing agent among the following is:p-Block Elements
Q1620The transition metal having highest 3^(rd) ionisation enthalpy is:Classification of Elements and Periodicity in Properties
Q1661Given below are two statements: Statement (I): Both metals and non-metals exist in p and d-block elements. Statement (II): Non-metals have higher ionisation…Classification of Elements and Periodicity in Properties
Q2150The number of radial node/s for 3 p orbital is:Atomic Structure

Mathematics

Q30Three points O(0,0), P(a, a²), Q(-b, b²), a>0, ~b>0, are on the parabola y=x². Let S₁ be the area of the region bounded by the line PQ and the parabola, and…Integral Calculus
Q31The sum of squares of all possible values of k, for which area of the region bounded by the parabolas 2 y²=k x and ky²=2(y-x) is maximum, is equal to:Integral Calculus
Q35Let f:(0, ∞) → R and F(x)=∫₀ˣ t f(t) dt. If F(x²)=x⁴+x⁵, then Σ r=1 ¹² f(r²) is equal to _ _ _ _ _ _.Integral Calculus
Q39If (d x)/(~d y)=(1+x-y²)/y, x(1)=1, then 5 x(2) is equal to _ _ _ _ _.Differential Equations
Q40If y=((√(x)+1)(x²-√(x)))/(x √(x)+x+√(x))+1/15(3 cos ² x-5) cos ³ x, then 96 y^()((π)/6) is equal to:Limit, Continuity and Differentiability
Q45Let A=I₂-2 M M^(T), where M is a real matrix of order 2 × 1 such that the relation M^(T) M=I₁ holds. If λ is a real number such that the relation A X=λ X…Matrices and Determinants
Q50If three successive terms of a G.P. with common ratio r(r>1) are the lengths of the sides of a triangle and [r] denotes the greatest integer less than or…Sequence and Series
Q53Let A B C be an isosceles triangle in which A is at (-1,0), A=(2 π)/3, A B=A C and B is on the positve x -axis. If BC=4 √(3) and the line BC intersects the…Coordinate Geometry
Q54The lines L₁, ~L₂,, L₂₀ are distinct. For n=1,2,3,, 10 all the lines L 2 n-1 are parallel to each other and all the lines L 2 n pass through a given point P…Coordinate Geometry
Q56Let a=i+j+k, b=-i-8 j+2 k and c=4 i+c₂ j+c₃ k be three vectors such that b × a=c × a. If the angle between the vector c and the vector 3 i+4 j+k is θ, then…Vector Algebra
Q2381Consider a A B C where A(1,3,2), B(-2,8,0) and C(3,6,7). If the angle bisector of B A C meets the line B C at D, then the length of the projection of the…Three Dimensional Geometry
Q2521Let P and Q be the points on the line (x+3)/8=(y-4)/2=(z+1)/2 which are at a distance of 6 units from the point R(1,2,3). If the centroid of the triangle PQR…Three Dimensional Geometry
Q2522If the mirror image of the point P(3,4,9) in the line (x-1)/3=(y+1)/2=(z-2)/1 is (α, β, γ), then 14 (α+β+γ) is:Three Dimensional Geometry
Q2888Let m and n be the coefficients of seventh and thirteenth terms respectively in the expansion of (1/3 x^(1/3)+1/(2 x^(2/3)))¹⁸. Then (n/m)^(1/3) is:Binomial Theorem and Its Simple Applications
Q3057Let the locus of the midpoints of the chords of the circle x²+(y-1)²=1 drawn from the origin intersect the line x+y=1 at P and Q. Then, the length of PQ is:Coordinate Geometry
Q3270If z is a complex number such that |z| 1, then the minimum value of |z+1/2(3+4 i)| is:Complex Numbers and Quadratic Equations
Q3467If ∫₀^((π)/3) cos ⁴ x ~d x=a π+b √(3), where a and b are rational numbers, then 9 a+8 b is equal to:Integral Calculus
Q3468The value of ∫₀¹(2 x³-3 x²-x+1)^(1/3) ~d x is equal to:Integral Calculus
Q3562Let α be a non-zero real number. Suppose f: R → R is a differentiable function such that f(0)=2 and lim x →-∞ f(x)=1. If f^()(x)=α f(x)+3, for all x R, then…Differential Equations
Q3726Let P be a point on the ellipse (x²)/9+(y²)/4=1. Let the line passing through P and parallel to y -axis meet the circle x²+y²=9 at point Q such that P and Q…Coordinate Geometry
Q3848If the domain of the function f(x)=(√(x²-25))/((4-x²))+ log ₁₀(x²+2 x-15) is (-∞, α) [β, ∞), then α²+β³ is equal to:Sets, Relations and Functions
Q4215Let f(x)=|2 x²+5| x|-3|, x R. If m and n denote the number of points where f is not continuous and not differentiable respectively, then m+n is equal to:Limit, Continuity and Differentiability
Q4246Let f(x)=\ lx-1, x is even, 2 x, x is odd, x N.. If for some a N, f(f(f(a)))=21, then lim x → a⁻ \(|x|³)/a-[x/a], where [t] denotes the greatest integer less…Limit, Continuity and Differentiability
Q4631Let the system of equations x+2 y+3 z=5,2 x+3 y+z=9,4 x+3 y+λ z=μ have infinite number of solutions. Then λ+2 μ is equal to:Matrices and Determinants
Q4967Let Ajay will not appear in JEE exam with probability p=2/7, while both Ajay and Vijay will appear in the exam with probability q=1/5. Then the probability…Statistics and Probability
Q5166Let α and β be the roots of the equation p x²+q x-r=0, where p ≠ 0. If p, q and r be the consecutive terms of a non constant G.P. and 1/(α)+1/(β)=3/4, then…Complex Numbers and Quadratic Equations
Q5232Let S n denote the sum of the first n terms of an arithmetic progression. If S₁₀=390 and the ratio of the tenth and the fifth terms is 15: 7, then S₁₅-S₅ is…Sequence and Series
Q5392Consider the relations R₁ and R₂ defined as a R₁ b a²+b²=1 for all a, b R and (a, b) R₂(c, d) a+d=b+c for all (a, b),(c, d) N × N. Then:Sets, Relations and Functions
Q5489Consider 10 observations x₁, x₂,, x₁₀ such that Σ i=1 ¹⁰(x i -α)=2 and Σ i=1 ¹⁰(x i -β)²=40, where α, β are positive integers. Let the mean and the variance…Statistics and Probability
Q5627The number of solutions of the equation 4 sin ² x-4 cos ³ x+9-4 cos x=0; x [-2 π, 2 π] is:Trigonometry