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JEE Main 2023 11 Apr Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 202311 Apr, Morning shift

Physics 23Chemistry 21Mathematics 29

Physics

Q58A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six…Dual Nature of Matter and Radiation
Q61The radius of curvature of each surface of a convex lens having refractive index 1.8 is 20 ~cm. The lens is now immersed in a liquid of refractive index 1.5…Optics
Q68A projectile fired at 30^(°) to the ground is observed to be at same height at time 3 ~s and 5 ~s after projection, during its flight. The speed of projection…Kinematics
Q69The length of a wire becomes l₁ and l₂ when 100 ~N and 120 ~N tensions are applied respectively. If 10 ~l₂=11~ l₁, the natural length of wire will be 1/x ~l₁…Properties of Solids and Liquids
Q70A solid sphere of mass 500 ~g and radius 5 ~cm is rotated about one of its diameter with angular speed of 10 ~rad ~s⁻¹. If the moment of inertia of the sphere…Rotational Motion
Q72The equation of wave is given by Y=10⁻² sin 2 π(160 t-0.5 x+π / 4) where x and Y are in m and t in s. The speed of the wave is _ _ _ _ km ~h⁻¹.Oscillations and Waves
Q73A force F=(2+3 x) i acts on a particle in the x direction where F is in newton and x is in meter. The work done by this force during a displacement from x=0…Work, Energy and Power
Q6135Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of B. If λ A and λ B are decay constants…Atoms and Nuclei
Q6180A parallel plate capacitor of capacitance 2 ~F is charged to a potential V, The energy stored in the capacitor is E₁. The capacitor is now connected to…Electrostatics
Q6252An average force of 125 ~N is applied on a machine gun firing bullets each of mass 10 ~g at the speed of 250 ~m / s to keep it in position. The number of…Rotational Motion
Q6287A coin placed on a rotating table just slips when it is placed at a distance of 1 ~cm from the center. If the angular velocity of the table in halved, it will…Kinematics
Q6331A transmitting antenna is kept on the surface of the earth. The minimum height of receiving antenna required to receive the signal in line of sight at 4 ~km…Communication Systems
Q6439Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for…Current Electricity
Q6477The current sensitivity of moving coil galvanometer is increased by 25%. This increase is achieved only by changing in the number of turns of coils and area…Current Electricity
Q6661A metallic surface is illuminated with radiation of wavelength λ, the stopping potential is V₀. If the same surface is illuminated with radiation of…Dual Nature of Matter and Radiation
Q6813The electric field in an electromagnetic wave is given as E=20 sin ω(t-x/c) j NC⁻¹ where ω and c are angular frequency and velocity of electromagnetic wave…Electromagnetic Waves
Q7123The critical angle for a denser-rarer interface is 45^(°). The speed of light in rarer medium is 3 × 10⁸ ~m / s. The speed of light in the denser medium is:Optics
Q7163The radii of two planets 'A' and 'B' are 'R' and '4R' and their densities are ρ and ρ / 3 respectively. The ratio of acceleration due to gravity at their…Gravitation
Q7319Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second contains chlorine…Kinetic Theory of Gases
Q7524On a temperature scale ' X ', the boiling point of water is 65^(°) X and the freezing point is -15^(°) X. Assume that the X scale is linear. The equivalent…Thermodynamics
Q75361 ~kg of water at 100^(°) C is converted into steam at 100^(°) C by boiling at atmospheric pressure. The volume of water changes from 1.00 × 10⁻³ ~m³ as a…Properties of Solids and Liquids
Q7652The free space inside a current carrying toroid is filled with a material of susceptibility 2 × 10⁻². The percentage increase in the value of magnetic field…Magnetic Effects of Current and Magnetism
Q8348Given below are two statements: Statements I: Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances…Units and Measurements

Chemistry

Q2A mixture of 1 mole of H₂ O and 1 mole of CO is taken in a 10 litre container and heated to 725 ~K. At equilibrium 40% of water by mass reacts with carbon…Equilibrium
Q3KClO₃+6 FeSO₄+3 H₂ SO₄ → KCl+3 Fe₂(SO₄)₃+3 H₂ O The above reaction was studied at 300 ~K by monitoring the concentration of FeSO₄ in which initial…Chemical Kinetics
Q6The ratio of spin-only magnetic moment values μ eff [Cr(CN)₆]³⁻ / μ eff [Cr(H₂ O)₆]³⁺ is _ _ _ _ _.Coordination Compounds
Q7In an electrochemical reaction of lead, at standard temperature, if E⁰(~Pb²⁺ / Pb)=m Volt and E⁰(~Pb⁴⁺ / Pb)=n Volt, then the value of E⁰(~Pb²⁺ / Pb⁴⁺) is…Redox Reactions and Electrochemistry
Q17An atomic substance A of molar mass 12 ~g ~mol⁻¹ has a cubic crystal structure with edge length of 300 ~pm. The no. of atoms present in one unit cell of A is…Solid State
Q180.004 M K ₂ SO ₄ solution is isotonic with 0.01 M glucose solution. Percentage dissociation of K ₂ SO ₄ is _ _ _ _ _ _ (Nearest integer)Solutions
Q19A solution of sugar is obtained by mixing 200 ~g of its 25% solution and 500 ~g of its 40% solution (both by mass). The mass percentage of the resulting sugar…Some Basic Concepts in Chemistry
Q21Solid fuel used in rocket is a mixture of Fe₂ O₃ and Al (in ratio 1: 2). The heat evolved (kJ) per gram of the mixture is _ _ _ _ _ _. (Nearest integer)…Chemical Thermodynamics
Q318Match List - I with List - II: List - I Species List - II Geometry/Shape A. H₃O⁺ I. Tetrahedral B. Acetylide anion II. Linear C. NH₄⁺ III. Pyramidal D…Chemical Bonding and Molecular Structure
Q571The complex that dissolves in water is:Coordination Compounds
Q599The set which does not have ambidentate ligand(s) is:Coordination Compounds
Q1103Given below are two statements: Statement I: If BOD is 4 ppm and dissolved oxygen is 8 ppm, then it is a good quality water. Statement II: If the…Environmental Chemistry
Q1262Given below are two statements: Statement-I: Methane and steam passed over a heated Ni catalyst produces hydrogen gas. Statement-II: Sodium nitrite reacts…Hydrogen
Q134625 ~mL of silver nitrate solution (1M) is added dropwise to 25 ~mL of potassium iodide (1.05 M) solution. The ion(s) present in very small quantity in the…Equilibrium
Q1407In the extraction process of copper, the product obtained after carrying out the reactions (i) 2 Cu₂ ~S+3 O₂ → 2 Cu₂ O+2 SO₂ (ii) 2 Cu₂ O+Cu₂ ~S → 6 Cu+SO₂ is…Isolation of Elements
Q1459For compound having the formula GaAlCl₄, the correct option from the following is:p-Block Elements
Q1618For elements B, C, N, Li, Be, O and F, the correct order of first ionization enthalpy isClassification of Elements and Periodicity in Properties
Q1711The polymer X - consists of linear molecules and is closely packed. It is prepared in the presence of triethylaluminium and titanium tetrachloride under low…Polymers
Q1758When a solution of mixture having two inorganic salts was treated with freshly prepared ferrous sulphate in acidic medium, a dark brown ring was formed…Principles Related to Practical Chemistry
Q1838Match List-I with List-II: List - I List - II A. K I. Thermonuclear reactions B. KCl II. Fertilizer C. KOH III. Sodium potassium pump D. Li IV. Absorbent of…S Block Elements
Q2178Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R: Assertion A: In the photoelectric effect, the electrons…Atomic Structure

Mathematics

Q22Let a line l pass through the origin and be perpendicular to the lines l₁: r=(-11 -7 k)+λ(i+2 +3 k), λ R and l₂: r=(- +k)+μ(2 +2 +k), μ R. If P is the point…Three Dimensional Geometry
Q27The mean of the coefficients of x, x²,, x⁷ in the binomial expansion of (2+x)⁹ is _ _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q28The number of integral terms in the expansion of (3^(1/2)+5^(1/4))⁶⁸⁰ is equal to _ _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q31For m, n > 0, let α(m, n)=∫₀² t^(m)(1+3 t)ⁿ d t. If 11 α(10,6)+18 α(11,5)=p(14)⁶, then p is equal to _ _ _ _ _ _.Integral Calculus
Q35Let H n: (x²)/(1+n)-(y²)/(3+n)=1, n N. Let k be the smallest even value of n such that the eccentricity of H k is a rational number. If l is the length of the…Coordinate Geometry
Q38The number of ordered triplets of the truth values of p, q and r such that the truth value of the statement (p q) (p r) ⇒(q r) is True, is equal to _ _ _ _ _ _.Mathematical Reasoning
Q40Let A=[ lll0 1 2 a 0 3 1 c 0 ], where a, c R. If A³=A and the positive value of a belongs to the interval (n-1, n], where n N, then n is equal to _ _ _ _ _ _.Matrices and Determinants
Q42In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students sits on the allotted…Permutations and Combinations
Q44If a and b are the roots of the equation x²-7 x-1=0, then the value of (a²¹+b²¹+a¹⁷+b¹⁷)/(a¹⁹+b¹⁹) is equal to _ _ _ _ _ _ _.Complex Numbers and Quadratic Equations
Q46Let S=109+108/5+107/(5²)+.+2/(5¹⁰⁷)+1/(5¹⁰⁸). Then the value of (16 S-(25)⁻⁵⁴) is equal to _ _ _ _ _ _.Sequence and Series
Q2611Let (α, β, γ) be the image of the point P(2,3,5) in the plane 2 x+y-3 z=6. Then α+β+γ is equal to:Three Dimensional Geometry
Q2612If equation of the plane that contains the point (-2,3,5) and is perpendicular to each of the planes 2 x+4 y+5 z=8 and 3 x-2 y+3 z=5 is α x+β y+γ z+97=0 then…Three Dimensional Geometry
Q2702Let f:[2,4] → R be a differentiable function such that (x log e x) f^()(x)+(log e x) f(x)+f(x) ≥ 1, x [2,4] with f(2)=1/2 and f(4)=1/4. Consider the following…Limit, Continuity and Differentiability
Q2862Area of the region \(x, y): x²+(y-2)² ≤ 4, x² ≥ 2 y isIntegral Calculus
Q3217Let w₁ be the point obtained by the rotation of z₁=5+4 i about the origin through a right angle in the anticlockwise direction, and w₂ be the point obtained…Complex Numbers and Quadratic Equations
Q3464The value of the integral ∫_- log e 2^ log e 2 eˣ(log e (eˣ+√(1+e²ˣ))) d x is equal to:Integral Calculus
Q3639Let y=y(x) be a solution curve of the differential equation. (1-x² y²) d x=y d x+x d y. If the line x=1 intersects the curve y=y(x) at y=2 and the line x=2…Differential Equations
Q3717Consider ellipses E k: k x²+k² y²=1, k=1,2,, 20. Let C k be the circle which touches the four chords joining the end points (one on minor axis and another on…Coordinate Geometry
Q3947Let R be a rectangle given by the lines x=0, x=2, y=0 and y=5. Let A (α,0) and B (0,β),α [0,2] and β [0,5], be such that the line segment AB divides the area…Coordinate Geometry
Q4160Let f(x)=[x²-x]+|-x+[x]|, where x R and [t] denotes the greatest integer less than or equal to t. Then, f is:Limit, Continuity and Differentiability
Q4303The number of integral solutions x of log (x+7/2) ((x-7)/(2 x-3))² ≥ 0 is:Limit, Continuity and Differentiability
Q4484Let A be a 2 × 2 matrix with real entries such that A'=α A+I, where α R-\-1,1. If det(A²-A)=4, then the sum of all possible values of α is equal to:Matrices and Determinants
Q4781The number of triplets (x, y, z), where x, y, z are distinct non negative integers satisfying x+y+z=15, is:Permutations and Combinations
Q4927Let S= =[a i j ], a i j \0,1,2 1 ≤ i, j ≤ 2 be a sample space and A= S: M is invertible be an event. Then P(A) is equal to:Statistics and Probability
Q5230Let x₁, x₂,, x₁₀₀ be in an arithmetic progression, with x₁=2 and their mean equal to 200. If y i =i(x i -i), 1 ≤ i ≤ 100, then the mean of y₁, y₂,, y₁₀₀ is:Sequence and Series
Q5407An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If these medals went to total 60 men and only five men got medals in all…Sets, Relations and Functions
Q5485Let sets A and B have 5 elements each. Let the mean of the elements in sets A and B be 5 and 8 respectively and the variance of the elements in sets A and B…Statistics and Probability
Q5699For any vector a=a₁ i+a₂ j+a₃ k, with 10|a i |<1, i=1,2,3, consider the following statements: (A): max \|a₁|,|a₂|,|a₃| ≤|a| (B): |a| ≤ 3 max \|a₁|,|a₂|,|a₃|Vector Algebra
Q5839Let a be a non-zero vector parallel to the line of intersection of the two planes described by i+j, i+k and i-j, j-k. If θ is the angle between the vector a…Vector Algebra