Loading…

Questions and solutions are free, always.

Practise

Practice
Revision queue
Revision planner
Take a test
Build a test

Browse

All topics
Blog
Notes & printables
Physics
Chemistry
Mathematics

Account

Your numbers
Study plan
Saved
Plus
Privacy
Terms
Delete account

Skip to content

JEE Main 2022 26 Jul Evening shift Question Paper with Solutions | JEE Arc

Past papers

Ctrl K

Practice
Revise
Tests
Topics
More
Dashboard Settings My progress Notes & printables Revision planner Study plan Saved questions Explore Plus

81days to JEE Main

Study

PracticePractice

Study planPlanPlus

Library

Past papersPapers

ProgressProgress

SettingsSettings

JEE Arc Plus₹49 a month. Mocks, plans, notes.→?GuestSign in to save progress

JEE Main 202226 Jul, Evening shift

Physics 23Chemistry 23Mathematics 29

Physics

Q54Two lighter nuclei combine to form a comparatively heavier nucleus by the relation given below: ₁² X+ ₁² X= ₂⁴ Y The binding energies per nucleon for 2/1 X…Atoms and Nuclei
Q59A potentiometer wire of length 300 ~cm is connected in series with a resistance 780 Ω and a standard cell of emf 4 V. A constant current flows through…Current Electricity
Q60In a coil of resistance 8 Ω, the magnetic flux due to an external magnetic field varies with time as φ=2/3(9-t²). The value of total heat produced in the…Electromagnetic Induction and Alternating Currents
Q63Three point charges of magnitude 5 μ C, 0.16 μ C and 0.3 μ C are located at the vertices A, B, C of a right angled triangle whose sides are A B=3 ~cm, B C=3…Electrostatics
Q71A uniform heavy rod of mass 20 ~kg, cross sectional area 0.4 ~m² and length 20 ~m is hanging from a fixed support. Neglecting the lateral contraction, the…Properties of Solids and Liquids
Q72The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be _ _ _ _ _ m. Given…Rotational Motion
Q74If A=(2 i+3 j-k) m and B=(i+2 j+2 k) m. The magnitude of component of vector A along vector B will be _ _ _ _ _ _ m.Kinematics
Q6054A nucleus of mass M at rest splits into two parts having masses (M^())/3 and (2M')/3(M' < M). The ratio of de Broglie wavelength of two parts will be:Atoms and Nuclei
Q6121Mass numbers of two nuclei are in the ratio of 4: 3. Their nuclear densities will be in the ratio ofAtoms and Nuclei
Q6243A ball of mass 0.15 ~kg hits the wall with its initial speed of 12 ~ms⁻¹ and bounces back without changing its initial speed. If the force applied by the wall…Rotational Motion
Q6244A body of mass 8 ~kg and another of mass 2 ~kg are moving with equal kinetic energy. The ratio of their respective momentum will be:Rotational Motion
Q6364The maximum and minimum voltage of an amplitude modulated signal are 60 ~V and 20 ~V respectively. The percentage modulation index will be:Communication Systems
Q6797The oscillating magnetic field in a plane electromagnetic wave is given by B y =5 × 10⁻⁶ sin 1000 π(5 x-4 × 10⁸ t) T. The amplitude of electric field will be:Electromagnetic Waves
Q6798A velocity selector consists of electric field E=E k and magnetic field B=B j with B=12 m T. The value of E required for an electron of energy 728 e V moving…Electromagnetic Waves
Q6972Two uniformly charged spherical conductors A and B of radii 5 ~mm and 10 ~mm are separated by a distance of 2 ~cm. If the spheres are connected by a…Electrostatics
Q7116Light travels in two media M₁ and M₂ with speeds 1.5 × 10⁸ ~ms⁻¹ and 2.0 × 10⁸ ~ms⁻¹ respectively. The critical angle between them is:Optics
Q7202A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the…Gravitation
Q7312A gas has n degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be:Kinetic Theory of Gases
Q7345An ice cube of dimensions 60 ~cm × 50 ~cm × 20 ~cm is placed in an insulation box of wall thickness 1 ~cm. The box keeping the ice cube at 0^(°) C of…Properties of Solids and Liquids
Q7796Two projectiles are thrown with same initial velocity making an angle of 45^(°) and 30^(°) with the horizontal respectively. The ratio of their respective…Kinematics
Q7949The area of cross section of the rope used to lift a load by a crane is 2.5 × 10⁻⁴ ~m². The maximum lifting capacity of the crane is 10 metric tons. To…Properties of Solids and Liquids
Q8358In a Vernier Calipers, 10 divisions of Vernier scale is equal to the 9 divisions of main scale. When both jaws of Vernier calipers touch each other, the zero…Experimental Skills
Q8507A transverse wave is represented by y=2 sin (ω t-k x) cm. The value of wavelength (in cm) for which the wave velocity becomes equal to the maximum particle…Oscillations and Waves

Chemistry

Q2Total number of isomers (including stereoisomers) obtained on monochlorination of methylcyclohexane is _ _ _ _ _ _.Some Basic Principles of Organic Chemistry
Q7The spin-only magnetic moment value of the compound with strongest oxidizing ability among MnF₄, MnF₃ and MnF₂ is _ _ _ _ _ _ B.M. [nearest integer]d- and f-Block Elements
Q9A 10 ~g mixture of hydrogen and helium is contained in a vessel of capacity 0.0125 ~m³ at 6 bar and 27^(°) C. The mass of helium in the mixture is _ _ _ _ _ _…Gaseous State
Q1520 ~mL of 0.02 M hypo solution is used for the titration of 10 ~mL of copper sulphate solution, in the presence of excess of KI using starch as an indicator…Redox Reactions and Electrochemistry
Q18The elevation in boiling point for 1 molal solution of non-volatile solute A is 3 ~K. The depression in freezing point for 2 molal solution of A in the same…Solutions
Q20A 100 ~mL solution of CH₃ CH₂ MgBr on treatment with methanol produces 2.24 ~mL of a gas at STP. The weight of gas produced is _ _ _ _ _ _ m g. [nearest…Some Basic Concepts in Chemistry
Q21Consider an imaginary ion ₂₂⁴⁸ X³⁻. The nucleus contains ' a '% more neutrons than the number of electrons in the ion. The value of 'a' is _ _ _ _ _ _ _ _…Atomic Structure
Q23For the reaction H₂ F₂(~g) → H₂(~g)+F₂(~g) Δ U=-59.6 ~kJ ~mol⁻¹ at 27^(°) C. The enthalpy change for the above reaction is (-) _ _ _ _ _ kJ mol⁻¹ [nearest…Chemical Thermodynamics
Q29Hydrolysis of which compound will give carbolic acid?Organic Compounds Containing Oxygen
Q179Animal starch is the other name ofBiomolecules
Q262Arrange the following in increasing order of their covalent character. A. CaF₂ B. CaCl₂ C. CaBr₂ D. CaI₂ Choose the correct answer from the options given below.Chemical Bonding and Molecular Structure
Q477At 30^(°) C, the half life for the decomposition of AB₂ is 200 ~s and is independent of the initial concentration of AB₂. The time required for 80% of the AB₂…Chemical Kinetics
Q741The metal complex that is diamagnetic is (Atomic number: Fe, 26; Cu, 29)Coordination Compounds
Q1072Match List I with List II. List I Pollutant List II Source (A) Microorganisms (I) Strip mining (B) Plant nutrients (II) Domestic sewage (C) Toxic heavy metals…Environmental Chemistry
Q1230The products obtained from a reaction of hydrogen peroxide and acidified potassium permanganate are:Hydrogen
Q1311Class XII students were asked to prepare one litre of buffer solution of pH 8.26 by their Chemistry teacher: The amount of ammonium chloride to be dissolved…Equilibrium
Q1402The metal that is not extracted from its sulfide ore is:Isolation of Elements
Q1702Vulcanization of rubber is carried out by heating a mixture ofPolymers
Q1812Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Phenolphthalein is a pH dependent…Redox Reactions and Electrochemistry
Q1832Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: LiF is sparingly soluble in water. Reason…S Block Elements
Q1892The metal that has very low melting point and its periodic position is closer to a metalloid is:S Block Elements
Q2076Hemoglobin contains 0.34% of iron by mass. The number of Fe atoms in 3.3 ~g of hemoglobin is (Given: Atomic mass of Fe is 56 u, N A =6.022 × 10²³ ~mol⁻¹.)Some Basic Concepts in Chemistry
Q2274Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Finest gold is red in colour, as the size…Surface Chemistry

Mathematics

Q24The largest value of a, for which the perpendicular distance of the plane containing the lines r=(i+j)+λ(i+a j-k) and r=(i+j)+μ(-i+j-a k) from the point…Three Dimensional Geometry
Q25The plane passing through the line L: l x-y+3(1-l) z=1, x+2 y-z=2 and perpendicular to the plane 3 x+2 y+z=6 is 3 x-8 y+7 z=4. If θ is the acute angle between…Three Dimensional Geometry
Q34Suppose y=y(x) be the solution curve to the differential equation (d y)/(d x)-y=2-e⁻ˣ such that lim x → ∞ y(x) is finite. If a and b are respectively the x…Differential Equations
Q42The number of matrices A=(lla b c d), where a, b, c, d \-1,0,1,2,3,, 10, such that A=A⁻¹, is _ _ _ _ _ _.Matrices and Determinants
Q46Numbers are to be formed between 1000 and 3000, which are divisible by 4, using the digits 1,2,3,4,5 and 6 without repetition of digits. Then the total number…Permutations and Combinations
Q49Different A.P.'s are constructed with the first term 100, the last term 199, and integral common differences. The sum of the common differences of all such…Sequence and Series
Q50If Σ k=1 ¹⁰ k/(k⁴+k²+1)=m/n, where m and n are co-prime, then m+n is equal to _ _ _ _ _ _ _.Sequence and Series
Q51Let A=\1,2,3,4,5,6,7 and B=\3,6,7,9. Then the number of elements in the set A: C B ≠ φ is _ _ _ _ _ _.Sets, Relations and Functions
Q52The mean and standard deviation of 40 observations are 30 and 5 respectively. It was noticed that two of these observations 12 and 10 were wrongly recorded…Statistics and Probability
Q2596A vector a is parallel to the line of intersection of the plane determined by the vectors i, i+j and the plane determined by the vectors i-j, i+k. The obtuse…Three Dimensional Geometry
Q2670If the maximum value of a, for which the function f a (x)= tan ⁻¹ 2 x-3 a x+7 is non-decreasing in (-(π)/6, (π)/6), is a, then f a ((π)/8) is equal to:Limit, Continuity and Differentiability
Q2847The area bounded by the curves y=|x²-1| and y=1 isIntegral Calculus
Q3002Σ_ i,j = 0 i ≠ j ⁿ ⁿ C i ⁿ C j is equal toBinomial Theorem and Its Simple Applications
Q3053Let the abscissae of the two points P and Q on a circle be the roots of x²-4 x-6=0 and the ordinates of P and Q be the roots of y²+2 y-7=0. If PQ is a…Coordinate Geometry
Q3264If z=x+i y satisfies |z|-2=0 and |z-i|-|z+5 i|=0, then:Complex Numbers and Quadratic Equations
Q3438∫₀^(20 π)(| sin x|+| cos x|)² d x is equal toIntegral Calculus
Q3548Let the solution curve y=f(x) of the differential equation (d y)/(d x)+(x y)/(x²-1)=(x⁴+2 x)/(√(1-x²)), x (-1,1) pass through the origin. Then ∫ -(√(3))/2…Differential Equations
Q3690The value of log e 2 d/(d x)(log cos x cosec x) at x=(π)/4 isLimit, Continuity and Differentiability
Q3787The acute angle between the pair of tangents drawn to the ellipse 2 x²+3 y²=5 from the point (1,3) is:Coordinate Geometry
Q3975If the line x-1=0 is a directrix of the hyperbola k x²-y²=6, then the hyperbola passes through the point:Coordinate Geometry
Q4054The integral ∫ ((1-1/(√(3)))(cos x- sin x))/((1+2/(√(3)) sin 2 x)) d x is equal toIntegral Calculus
Q4112If 0 < x < 1/(2) and (sin ⁻¹x)/(α) = (cos ⁻¹x)/(β), then the value of sin ((2π α)/(α + β)) is:Trigonometry
Q4256Let β= lim x → 0 (α x-(e³ˣ-1))/(α x(e³ˣ-1)) for some α R. Then the value of α+β is:Limit, Continuity and Differentiability
Q4372Negation of the Boolean expression p (q ⇒ p) isMathematical Reasoning
Q4492Let A=[ l 1 1 1 ] and B=[ ccc 9² -10² 11² 12² 13² -14² -15² 16² 17² ], then the value of A^() B A is:Matrices and Determinants
Q4689The equation of a common tangent to the parabolas y=x² and y=-(x-2)² isCoordinate Geometry
Q4733Let P and Q be any points on the curves (x-1)²+(y+1)²=1 and y=x², respectively. The distance between P and Q is minimum for some value of the abscissa of P in…Coordinate Geometry
Q4893Let X be a binomially distributed random variable with mean 4 and variance 4/3. Then, 54 P(X ≤ 2) is equal to:Statistics and Probability
Q5156The minimum value of the sum of the squares of the roots of x²+(3-a) x+1=2 a is:Complex Numbers and Quadratic Equations