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 2020 3 Sep Morning 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 20203 Sep, Morning shift

Physics 19Chemistry 15Mathematics 25

Physics

Q49A bakelite beaker has volume capacity of 500 cc at 30^(o)C. When it is partially filled with Vm volume (at 30^(o)C) of mercury, it is found that the unfilled…Thermodynamics
Q53When a long glass capillary tube of radius 0.015 cm is dipped in a liquid, the liquid rises to a height of 15 cm within it. If the contact angle between the…Properties of Solids and Liquids
Q54A person of 80 kg mass is standing on the rim of a circular platform of mass 200 kg rotating about its axis at 5 revolutions per minute (rpm). The person now…Rotational Motion
Q59A cricket ball of mass 0.15 kg is thrown vertically up by a bowling machine so that it rises to a maximum height of 20 m after leaving the machine. If the…Work, Energy and Power
Q5883A 750 Hz, 20 V (rms) source is connected to a resistance of 100 Ω, an inductance of 0.1803 H and a capacitance of 10 μ F all in series. The time in which the…Electromagnetic Induction and Alternating Currents
Q6098In a radioactive material, fraction of active material remaining after time t is 9/16. The fraction that was remaining after t/2 isAtoms and Nuclei
Q6633When the wavelength of radiation falling on a metal is changed from 500 nm to 200 nm, the maximum kinetic energy of the photoelectrons becomes three times…Dual Nature of Matter and Radiation
Q6764The magnetic field of a plane electromagnetic wave is B = 3 × 10⁻⁸ sin [ 200π (y + ct) ] i T where c = 3 × 10⁸ ms^–1 is the speed of light. The corresponding…Electromagnetic Waves
Q6871When a diode is forward biased, it has a voltage drop of 0.5 V. The safe limit of current through the diode is 10 mA. If a battery of emf 1.5 V is used in the…Electronic Devices
Q7014Two isolated conducting spheres S₁ and S₂ of radius 2/3R and 1/3R have 12 μ C and –3 μ C charges, respectively, and are at a large distance from each other…Electrostatics
Q7190A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to that of the earth’s radius R e. By firing rockets…Gravitation
Q7482A balloon filled with helium (32^(o)C and 1.7 atm.) bursts. Immediately afterwards the expansion of helium can be considered asThermodynamics
Q7679Magnitude of magnetic field (in SI units) at the centre of a hexagonal shape coil of side 10 cm, 50 turns and carrying current I (Ampere) in units of (μ…Magnetic Effects of Current and Magnetism
Q7703A charged particle carrying charge 1 μ C is moving with velocity (2 i + 3 j + 4 k) ms^–1. If an external magnetic field of (5 i + 3 j - 6 k) × 10^–3 T exists…Magnetic Effects of Current and Magnetism
Q8013Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is:Properties of Solids and Liquids
Q8095Moment of inertia of a cylinder of mass M, length L and radius R about an axis passing through its centre and perpendicular to the axis of the cylinder is I =…Rotational Motion
Q8333Using screw gauge of pitch 0.1 cm and 50 divisions on its circular scale, the thickness of an object is measured. It should correctly be recorded asExperimental Skills
Q8427In a Young’s double slit experiment, light of 500 nm is used to produce an interference pattern. When the distance between the slits is 0.05 mm, the angular…Optics
Q8497A uniform thin rope of length 12 m and mass 6 kg hangs vertically from a rigid support and a block of mass 2 kg is attached to its free end. A transverse…Oscillations and Waves

Chemistry

Q7The photoelectric current from Na (Work function, w₀ = 2.3 eV) is stopped by the output voltage of the cell Pt(s) | H₂ (g, 1 Bar) | HCl (aq., pH =1) | AgCl(s)…Redox Reactions and Electrochemistry
Q12An element with molar mass 2.7 × 10⁻² kg mol⁻¹ forms a cubic unit cell with edge length 405 pm. If its density is 2.7 × 10³ kg m⁻³, the radius of the element…Solid State
Q13The volume strength of 8.9 M H₂O₂ solution calculated at 273 K and 1 atm is _ _ _. (R = 0.0821 L atm K⁻¹ mol⁻¹) (rounded off ot the nearest integer)Some Basic Concepts in Chemistry
Q14The mole fraction of glucose (C₆H₁₂O₆) in an aqueous binary solution is 0.1. The mass percentage of water in it, to the nearest integer, is _ _ _ _.Some Basic Concepts in Chemistry
Q123Glycerol is separated in soap industries by:Some Basic Principles of Organic Chemistry
Q369Of the species, NO, NO⁺, NO²⁺ and NO⁻, the one with minimum bond strength is:Chemical Bonding and Molecular Structure
Q475It is true that:Chemical Kinetics
Q626The electronic spectrum of [Ti(H₂O)₆]³⁺ shows a single broad peak with a maximum at 20,300 cm⁻¹. The crystal field stabilization energy (CFSE) of the complex…Coordination Compounds
Q678The complex that can show optical activity is:Coordination Compounds
Q943Let C N aCl and CBaSO₄ be the conductances (in S) measured for saturated aqueous solutions of NaCl and BaSO₄, respectively, at a temperature T. Which of the…Redox Reactions and Electrochemistry
Q1023Thermal power plants can lead to:Environmental Chemistry
Q1207If the boiling point of H₂O is 373 K, the boiling point of H₂S will be:Hydrogen
Q1307An acidic buffer is obtained on mixing:Equilibrium
Q1651The atomic number of the element unnilennium is:Classification of Elements and Periodicity in Properties
Q2250Tyndall effect is observed when:Surface Chemistry

Mathematics

Q20The diameter of the circle, whose centre lies on the line x + y = 2 in the first quadrant and which touches both the lines x = 3 and y = 2, is _ _ _ _.Coordinate Geometry
Q21If ((1 + i)/(1 - i))^(m/2) = ((1 + i)/(1 - i))^(n/3) = 1, (m, n N) then the greatest common divisor of the least values of m and n is _ _ _ _.Complex Numbers and Quadratic Equations
Q28If lim x → 0 1/(x⁸)(1 - cos (x²)/2 - cos (x²)/4 + cos (x²)/2 cos (x²)/4) = 2^(-k) then the value of k is _ _ _ _.Limit, Continuity and Differentiability
Q31Let A = [ x 1 1 0 ], x R and A⁴ = [a i j]. If a₁₁ = 109, then a₂₂ is equal to _ _ _ _.Matrices and Determinants
Q37The value of (0.16)^(log 2.5 (1/3 + 1/(3²) +....to ∞)) is equal to _ _ _.Sequence and Series
Q2422The foot of the perpendicular drawn from the point (4, 2, 3) to the line joining the points (1, –2, 3) and (1, 1, 0) lies on the plane:Three Dimensional Geometry
Q2712The function, f(x) = (3x – 7)x²/3, x R, is increasing for all x lying in:Limit, Continuity and Differentiability
Q2825The area (in sq. units) of the region (x, y): 0 ≤ y ≤ x² + 1, 0 ≤ y ≤ x + 1, 1/2 ≤ x ≤ 2 is:Integral Calculus
Q2924If the number of integral terms in the expansion of (3¹/2 + 5¹/8)ⁿ is exactly 33, then the least value of n is:Binomial Theorem and Its Simple Applications
Q3386∫ - π ^π | π - | x | |dx is equal to:Integral Calculus
Q3599The solution curve of the differential equation, (1 + e⁻ˣ)(1 + y²) dy/dx = y², which passes through the point (0, 1), is:Differential Equations
Q3707If y² + log e (cos²x) = y, x (- (π)/2,(π)/2), then:Limit, Continuity and Differentiability
Q3970A hyperbola having the transverse axis of length 2 has the same foci as that of the ellipse 3x² + 4y² = 12, then this hyperbola does not pass through which of…Coordinate Geometry
Q40972 π - (sin ⁻¹4/5 + sin ⁻¹5/13 + sin ⁻¹16/65) is equal to:Trigonometry
Q4219Let [t] denote the greatest integer ≤ t. If for some λ R - 1, 0, lim x → 0 | (1 - x + | x |)/(λ - x + [ x ]) | = L, then L is equal to:Limit, Continuity and Differentiability
Q4333The proposition p → ~ (p ~q) is equivalent to:Mathematical Reasoning
Q4457If Δ = | x - 2 2x - 3 3x - 4 2x - 3 3x - 4 4x - 5 3x - 5 5x - 8 10x - 17 | = Ax³ + Bx² + Cx + D, then B + C is equal to:Matrices and Determinants
Q4721Let P be a point on the parabola, y² = 12x and N be the foot of the perpendicular drawn from P on the axis of the parabola. A line is now drawn through the…Coordinate Geometry
Q4847The value of (2.¹P₀ – 3.²P₁ + 4.³P₂.... up to 51^(t)h term) + (1! – 2! + 3! –..... up to 51^(t)h term) is equal to:Permutations and Combinations
Q4956A dice is thrown two times and the sum of the scores appearing on the die is observed to be a multiple of 4. Then the conditional probability that the score 4…Statistics and Probability
Q5144If α and β are the roots of the equation x² + px + 2 = 0 and 1/(α) and 1/(β) are the roots of the equation 2x² + 2qx + 1 = 0, then (α - 1/(α))(β - 1/(β))(α +…Complex Numbers and Quadratic Equations
Q5214If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum of its next 15 terms, then the common difference of this A.P. is:Sequence and Series
Q5358Consider the two sets: A = m R: both the roots of x² – (m + 1)x + m + 4 = 0 are real and B = [–3, 5). Which of the following is not true?Sets, Relations and Functions
Q5460For the frequency distribution: Variate (x): x₁ x₂ x₃.... x₁₅ Frequency (f): f₁ f₂ f₃...... f₁₅ where 0 < x₁ < x₂ < x₃ <... < x₁₅ = 10 and Σ i = 1 ¹⁵ f i > 0…Statistics and Probability
Q5690The lines r = (i - j) + l(2 i + k) and r = (2 i - j) + m(i + j + k)Vector Algebra