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JEE Main 2023 10 Apr Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 202310 Apr, Evening shift

Physics 24Chemistry 21Mathematics 28

Physics

Q50If 917 A^(o) be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be _ _ _ _ _ _ A^(o).Atoms and Nuclei
Q54A rectangular parallelopiped is measured as 1 ~cm × 1 ~cm × 100 ~cm. If its specific resistance is 3 × 10⁻⁷ ~Ω m, then the resistance between its two opposite…Current Electricity
Q55A square loop of side 2.0 ~cm is placed inside a long solenoid that has 50 turns per centimetre and carries a sinusoidally varying current of amplitude 2.5 ~A…Electromagnetic Induction and Alternating Currents
Q68A force of -P k acts on the origin of the coordinate system. The torque about the point (2,-3) is P(a i+b j), The ratio of a/b is x/2. The value of x is -Rotational Motion
Q69A rectangular block of mass 5 ~kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1 ~m and time period 3.14 ~s. The…Oscillations and Waves
Q73If the maximum load carried by an elevator is 1400 ~kg (600 ~kg - Passengers + 800 kg - elevator), which is moving up with a uniform speed of 3 ~m ~s⁻¹ and…Work, Energy and Power
Q6136The half life of a radioactive substance is T. The time taken, for disintegrating 7/8 th part of its original mass will be:Atoms and Nuclei
Q6162The distance between two plates of a capacitor is d and its capacitance is C₁, when air is the medium between the plates. If a metal sheet of thickness (2…Electrostatics
Q6376A message signal of frequency 3 ~kHz is used to modulate a carrier signal of frequency 1.5 ~MHz. The bandwidth of the amplitude modulated wave isCommunication Systems
Q6814The amplitude of magnetic field in an electromagnetic wave propagating along y-axis is 6.0 × 10⁻⁷ ~T. The maximum value of electric field in the…Electromagnetic Waves
Q6977In a metallic conductor, under the effect of applied electric field, the free electrons of the conductorElectrostatics
Q7164Given below are two statements: Statement I: Rotation of the earth shows effect on the value of acceleration due to gravity (g) Statement II: The effect of…Gravitation
Q7212The time period of a satellite, revolving above earth's surface at a height equal to R will be (Given g=π² ~m / s², R= radius of earth)Gravitation
Q7421A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational modes, the total internal energy of the system…Thermodynamics
Q7537A gas is compressed adiabatically, which one of the following statement is NOT true.Thermodynamics
Q7616A bar magnet is released from rest along the axis of a very long vertical copper tube. After some time the magnet willMagnetic Effects of Current and Magnetism
Q7653Given below are two statements: Statement I: For diamagnetic substance, -1 ≤ χ < 0, where χ is the magnetic susceptibility. Statement II: Diamagnetic…Magnetic Effects of Current and Magnetism
Q7802Two projectiles are projected at 30^(°) and 60^(°) with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles…Kinematics
Q7837A person travels x distance with velocity v₁ and then x distance with velocity v₂ in the same direction. The average velocity of the person is v, then the…Kinematics
Q7962Young's moduli of the material of wires A and B are in the ratio of 1: 4, while its area of cross sections are in the ratio of 1: 3. If the same amount of…Properties of Solids and Liquids
Q8060Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: An electric fan continues to rotate for some…Rotational Motion
Q8360In an experiment with vernier callipers of least count 0.1 ~mm, when two jaws are joined together the zero of vernier scale lies right to the zero of the main…Experimental Skills
Q8451The ratio of intensities at two points P and Q on the screen in a Young's double slit experiment where phase difference between two waves of same amplitude…Optics
Q8511For a periodic motion represented by the equation y= sin ω t+ cos ω t the amplitude of the motion isOscillations and Waves

Chemistry

Q2The number of molecules from the following which contain only two lone pair of electrons is _ _ _ _ H₂ O, N₂, CO, XeF₄, NH₃, NO, CO₂, ~F₂Chemical Bonding and Molecular Structure
Q3A(g) 2 ~B(g)+C(g) For the given reaction, if the initial pressure is 450 ~mm ~Hg and the pressure at time t is 720 ~mm ~Hg at a constant temperature T and…Equilibrium
Q4The number of incorrect statement/s from the following is _ _ _ _ _ A. The successive half lives of zero order reactions decreases with time. B. A substance…Chemical Kinetics
Q7For a metal ion, the calculated magnetic moment is 4.90 ~BM. This metal ion has _ _ _ _ _ n umber of unpaired electrons.Coordination Compounds
Q8The specific conductance of 0.0025 ~M acetic acid is 5 × 10⁻⁵ ~S ~cm⁻¹ at a certain temperature. The dissociation constant of acetic acid is _ _ _ _ _ × ~10⁻⁷…Redox Reactions and Electrochemistry
Q13In alkaline medium, the reduction of permanganate anion involves a gain of _ _ _ _ _ electrons.Redox Reactions and Electrochemistry
Q14Incorrect method of preparation for alcohols from the following is:Organic Compounds Containing Oxygen
Q17An aqueous solution of volume 300 ~cm³ contains 0.63 ~g of protein. The osmotic pressure of the solution at 300 ~K is 1.29 mbar. The molar mass of the protein…Solutions
Q21The number of endothermic process/es from the following is _ _ _ _ _ _ _. A. I₂(~g) → 2 I(g) B. HCl(g) → H(g)+Cl(g) C. H₂ O(l) → H₂ O(g) D. C(s)+O₂(~g) →…Chemical Thermodynamics
Q642The correct order of the number of unpaired electrons in the given complexes is A. [Fe(CN)₆]³⁻ B. [Fe F₆]³⁻ C. [CoF₆]³⁻ D..[Cr (oxalate)₃]³⁻ E. [Ni(CO)₄]…Coordination Compounds
Q643Match List I with List II List - I Complex List - II Crystal Field splitting energy (Δ₀) A. [Ti (H₂O)₆ ]²⁺ I. -1.2 B. [V (H₂O)₆ ]²⁺ II. -0.6 C. [Mn (H₂O)₆ ]³⁺…Coordination Compounds
Q1050The delicate balance of CO₂ and O₂ is NOT disturbed by:Environmental Chemistry
Q1263Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: Physical properties of isotopes of hydrogen…Hydrogen
Q1619Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: The energy required to form Mg²⁺ from Mg is…Classification of Elements and Periodicity in Properties
Q1759In Carius tube, an organic compound ' X ' is treated with sodium peroxide to form a mineral acid 'Y'. The solution of BaCl₂ is added to ' Y ' to form a…Purification and Characterisation of Organic Compounds
Q1839Number of water molecules in washing soda and soda ash respectively are:S Block Elements
Q1904The correct order of metallic character is:S Block Elements
Q1933The correct relationships between unit cell edge length ' a ' and radius of sphere ' r ' for face-centred and body-centred cubic structures respectively are:Solid State
Q2048Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: 3.1500 ~g of hydrated oxalic acid dissolved…Some Basic Concepts in Chemistry
Q2081Match List I with List II List - I List - II (Δ₀) A. 16 g of CH₄~(g) I. Weighs 28 g B. 1 g of H₂~(g) II. 60.2×10²³ electrons C. 1 mole of N₂~(g) III. Weighs…Some Basic Concepts in Chemistry
Q2283Ferric chloride is applied to stop bleeding because -Surface Chemistry

Mathematics

Q22Let the foot of perpendicular from the point A(4,3,1) on the plane P: x-y+2 z+3=0 be N. If B (5, α, β), α, β Z is a point on plane P such that the area of the…Three Dimensional Geometry
Q26Let the quadratic curve passing through the point (-1,0) and touching the line y=x at (1,1) be y=f(x). Then the x -intercept of the normal to the curve at the…Limit, Continuity and Differentiability
Q27If the area of the region \(x, y):|x²-2| ≤ y ≤ x is A, then 6 A+16 √(2) is equal to _ _ _ _ _.Integral Calculus
Q33Let the tangent at any point P on a curve passing through the points (1, 1) and (1/10, 100), intersect positive x -axis and y -axis at the points A and B…Differential Equations
Q36If the domain of the function f(x)= sec ⁻¹((2 x)/(5 x+3)) is [α, β) U(γ, δ], then |3 α+10(β+γ)+21 δ| is equal to _ _ _ _ _.Trigonometry
Q39Let S be the set of values of λ, for which the system of equations 6 λ x-3 y+3 z=4 λ², 2 x+6 λ y+4 z=1, 3 x+2 y+3 λ z=λ has no solution. Then 12 Σ i S |λ| is…Matrices and Determinants
Q41The sum of all the four-digit numbers that can be formed using all the digits 2, 1, 2, 3 is equal to _ _ _ _ _.Permutations and Combinations
Q43Suppose a₁, a₂, 2, a₃, a₄ be in an arithmetico-geometric progression. If the common ratio of the corresponding geometric progression is 2 and the sum of all 5…Sequence and Series
Q47Let the equations of two adjacent sides of a parallelogram ABCD be 2 x-3 y=-23 and 5 x+4 y=23. If the equation of its one diagonal AC is 3 x+7 y=23 and the…Coordinate Geometry
Q2613Let the image of the point P(1,2,6) in the plane passing through the points A(1,2,0), B(1,4,1) and C(0,5,1) be Q(α, β, γ). Then (α²+β²+γ²) is equal to:Three Dimensional Geometry
Q2614Let the line x/1=(6-y)/2=(z+8)/5 intersect the lines (x-5)/4=(y-7)/3=(z+2)/1 and (x+3)/6=(3-y)/3=(z-6)/1 at the points A and B respectively. Then the distance…Three Dimensional Geometry
Q2729Let g(x)=f(x)+f(1-x) and f^()(x) > 0, x (0,1). If g is decreasing in the interval (0, a) and increasing in the interval (α, 1), then tan ⁻¹(2 α)+ tan…Limit, Continuity and Differentiability
Q2900Let the number (22)²⁰²²+(2022)²² leave the remainder α when divided by 3 and β when divided by 7. Then (α²+β²) is equal to:Binomial Theorem and Its Simple Applications
Q2943If the coefficients of x and x² in (1+x)^(p)(1-x)^(q) are 4 and - 5 respectively, then 2 p+3 q is equal to:Binomial Theorem and Its Simple Applications
Q3086Let A be the point (1,2) and B be any point on the curve x²+y²=16. If the centre of the locus of the point P, which divides the line segment AB in the ratio…Coordinate Geometry
Q3161Let S = z = x + iy:(2z - 3i)/(4z + 2i) is a real number. Then which of the following is NOT correct?Complex Numbers and Quadratic Equations
Q3319Let f be a continuous function satisfying ∫₀^(t)²(f(x)+x²) d x=4/3 t³, t > 0. Then f((π²)/4) is equal to:Integral Calculus
Q3722Let a circle of radius 4 be concentric to the ellipse 15 x²+19 y²=285. Then the common tangents are inclined to the minor axis of the ellipse at the angle:Coordinate Geometry
Q4055For α, β, γ, δ N, if ∫((x/e)²ˣ+(e/x)²ˣ) log e x d x=1/(α)(x/e)^(β x)-1/(γ)(e/x)^(δ x)+C, where e=Σ n=0 ^(∞) 1/(n !) and C is constant of integration, then α+2…Integral Calculus
Q4393The statement [p ((p q))] is equivalent to:Mathematical Reasoning
Q4545If A=1/(5 ! 6 ! 7 !)[ ccc5 ! 6 ! 7 ! 6 ! 7 ! 8 ! 7 ! 8 ! 9 ! ], then |adj(adj(2 ~A))| is equal to:Matrices and Determinants
Q4832Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number…Permutations and Combinations
Q4897Let a die be rolled n times. Let the probability of getting odd numbers seven times be equal to the probability of getting odd numbers nine times. If the…Statistics and Probability
Q5343If S n =4+11+21+34+50+ to n terms, then 1/60(~S₂₉-S₉) is equal to:Sequence and Series
Q5364Let A=\2,3,4 and B=\8,9,12. Then the number of elements in the relation R=\((a₁, ~b₁),(a₂, ~b₂)) (A × B, A × B): a₁. divides b₂ and a₂ divides.b₁ is:Sets, Relations and Functions
Q5486Let μ be the mean and σ be the standard deviation of the distribution x i 0 1 2 3 4 5 f i k + 2 2k k² - 1 k² - 1 k² + 1 k - 3 where Σ f i =62. If [x] denotes…Statistics and Probability
Q5700If the points P and Q are respectively the circumcenter and the orthocentre of a ABC, then PA+PB+PC is equal to:Vector Algebra
Q5840Let a=2 i+7 j-k, b=3 i+5 k and c=i-j+2 k. Let d be a vector which is perpendicular to both a and b, and c · d=12. Then (-i+j-k) ·(c × d) is equal to:Vector Algebra