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 7 Jan 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 20207 Jan, Evening shift

Physics 21Chemistry 15Mathematics 25

Physics

Q46A 60 pF capacitor is fully charged by a 20 V supply. It is then disconnected from the supply and is conneced to another uncharged 60 pF capacitor in parallel…Electrostatics
Q48The balancing length for a cell is 560 cm in a potentiometer experiment. When an external resistance of 10 Ω is connected in parallel to the cell, the…Current Electricity
Q55M grams of steam at 100^(o)C is mixed with 200 g of ice at its melting point in a thermally insulated container. If it produced liquid water at 40^(o)C [heat…Thermodynamics
Q61The sum of two forces P and Q is R such that | R | = | P |. The angle θ (in degrees) that the resultant of 2 P and Q will make with Q is,..............Kinematics
Q5949An emf of 20 V is applied at time t = 0 to a circuit containing in series 10 mH inductor and 5 Ω resistor. The ratio of the currents at time t = ∞ and at t =…Electromagnetic Induction and Alternating Currents
Q6097The activity of a radioactive sample falls from 700 s^–1 to 500 s^–1 in 30 minutes. Its half life is close to:Atoms and Nuclei
Q6429In a building there are 15 bulbs of 45 W, 15 bulbs of 100 W, 15 small fans of 10 W and 2 heaters of 1 kW. The voltage of electric main is 220 V. The minimum…Current Electricity
Q6552An electron (of mass m) and a photon have the same energy E in the range of a few eV. The ratio of the de-Broglie wavelength associated with the electron and…Dual Nature of Matter and Radiation
Q6703A planar loop of wire rotates in a uniform magnetic field. Initially at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates…Electromagnetic Induction and Alternating Currents
Q6769The electric field of a plane electromagnetic wave is given by E = E₀(i + j)/(2) cos (kz + ω t) At t = 0, a positively charged particle is at the point (x, y…Electromagnetic Waves
Q7043A thin lens made of glass (refractive index = 1.5) of focal length f = 16 cm is immersed in a liquid of refractive index 1.42. If its focal length in liquid…Optics
Q7135A box weight 196 N on a spring balance at the north pole. Its weight recorded on the same balance if it is shifted to the equator is close to (Take g = 10…Gravitation
Q7379Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the mean collision time between the gas molecule changes from τ ₁ to τ ₂. If…Thermodynamics
Q7541A mass of 10 kg is suspended by a rope of length 4 m, from the ceiling. A force F is applied horizontally at the mid point of the rope such that the top half…Laws of Motion
Q7753A particle of mass m and charge q has an initial velocity v = v₀ j. If an electric field E = E₀ i and magnetic field B = B₀ i act on the particle, its speed…Magnetic Effects of Current and Magnetism
Q7904An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4 cm and 4.8 cm…Properties of Solids and Liquids
Q8097Mass per unit area of a circular disc of radius a depends on the distance r from its centre as σ (r) = A + Br. The moment of inertia of the disc about the…Rotational Motion
Q8240The dimension of (B²)/(2μ ₀), where B is magnetic field and μ ₀ is the magnetic permeability of vacuum, is:Units and Measurements
Q8431In a Young's double slit experiment, the separation between the slits is 0.15 mm. in the experiment, a source of light of wavelengh 589 nm is used and the…Optics
Q8530A stationary observer receives sound from two identical tuning forks, one of which approaches and the other one recedes with the same speed (much less than…Oscillations and Waves
Q8605An elevator in a building can carry a maximum of 10 persons, with the average mass of each person being 68 kg, The mass of the elevator itself is 920 kg and…Work, Energy and Power

Chemistry

Q5The number of sp² hybridised carbons present in "Aspartame" isChemistry in Everyday Life
Q8Consider the following reactions: NaCl + K₂ C r₂ O₇ + H₂S O₄ (conc.) → (A) + side products (A) + NaOH → (B) + Side products (B) + H₂S O₄ (dilute) + H₂ O₂ →…d- and f-Block Elements
Q18The standard heat of formation (Δ f H₂₉₈⁰) of ethane (in kj/mol), if the heat of combustion of ethane, hydrogen and graphite are - 1560, -393.5 and -286…Chemical Thermodynamics
Q125A chromatography column, packed with silica gel as stationary phase, was used to separate a mixture of compounds consisting of (A) benzanilide (B) aniline and…Some Basic Principles of Organic Chemistry
Q367The bond order and the magnetic characteristics of CN⁻ are:Chemical Bonding and Molecular Structure
Q500For the reaction 2H₂(g) + 2NO(g) → N₂(g) + 2H₂O(g) the observed rate expression is, rate = K f [NO]²[H₂]. The rate expression for the reverse reaction is:Chemical Kinetics
Q624Among the statements(a)-(d) the incorrect ones are: (a) Octahedral CO(III) complexes with strong fields ligands have very high magnetic moments. (b) When Δ ₀…Coordination Compounds
Q685The number of possible optical isomers for the complexes MA₂B₂ with sp³ and dsp² hydridized metal atom. respectively, is: Note: A and B are unidentate netural…Coordination Compounds
Q944The equation that is incorrect is:Redox Reactions and Electrochemistry
Q1216Among the statements (a) - (d), the correct ones are: (a) Decomposition of hydrogen peroxide gives dioxygen. (b) Like hydrogen peroxide, compounds, such as…Hydrogen
Q1436The refining method used when the metal and the impurities have low and high melting temperatures, respectively, is:Isolation of Elements
Q1573Within each pair of elements F Cl, S Se, and Li Na, respectively, the elements that release more energy upon and electron gain are:Classification of Elements and Periodicity in Properties
Q1797The redox reaction among the following is:Redox Reactions and Electrochemistry
Q2016Two open beakers one containing a solvent and the other containing a mixture of that solvent with a non voltatile solute are together selated in a container…Solutions
Q2096The ammonia (NH₃) released on quantitative reaction of 0.6 g urea (NH₂CONH₂) with sodium hydroxide (NaOH) can be neutralized by:Some Basic Concepts in Chemistry

Mathematics

Q19If the foot of the perpendicular drawn from the point (1, 0, 3) on a line passing through (α, 7, 1) is (5/3,7/3,17/3), then α is equal to _ _ _.Three Dimensional Geometry
Q31If the function ƒ defined on (- 1/3,1/3) by f(x) = \ 1/x log e ((1 + 3x)/(1 - 2x)), when x ≠ 0 k, when x = 0. is continuous, then k is equal to _ _ _ _.Limit, Continuity and Differentiability
Q34If the system of linear equations, x + y + z = 6 x + 2y + 3z = 10 3x + 2y + λ z = μ has more than two solutions, then μ - λ ² is equal to _ _ _.Matrices and Determinants
Q40Let X = n N: 1 ≤ n ≤ 50. If A = n X: n is a multiple of 2 and B = n X: n is a multiple of 7, then the number of elements in the smallest subset of X…Sets, Relations and Functions
Q41If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y be 10 and 25 respectively, then x.y is equal to _ _ _ _.Statistics and Probability
Q2652Let ƒ(x) be a polynomial of degree 5 such that x = ±1 are its critical points. If lim x → 0 (2 + (f(x))/(x³)) = 4, then which one of the following is not true?Limit, Continuity and Differentiability
Q2698The value of c in the Lagrange's mean value theorem for the function ƒ(x) = x³ - 4x² + 8x + 11, when x [0, 1] is:Limit, Continuity and Differentiability
Q2829The area (in sq. units) of the region (x, y) R² | 4x² ≤ y ≤ 8x + 12 is:Integral Calculus
Q2928The coefficient of x⁷ in the expression (1 + x)¹⁰ + x(1 + x)⁹ + x²(1 + x)⁸ +......+ x¹⁰ is:Binomial Theorem and Its Simple Applications
Q3126Let the tangents drawn from the origin to the circle, x² + y² - 8x - 4y + 16 = 0 touch it at the points A and B. The (AB)² is equal to:Coordinate Geometry
Q3211If (3 + i sin θ)/(4 - i cos θ), θ [0, 2 θ ], is a real number, then an argument of sin θ + icos θ is:Complex Numbers and Quadratic Equations
Q3388The value of α for which 4α ∫₋₁² e^(- α | x |)dx = 5, is:Integral Calculus
Q3389If θ ₁ and θ ₂ be respectively the smallest and the largest values of θ in (0, 2 π) - π which satisfy the equation, 2cot² θ - 5/(sin θ) + 4 = 0, then ∫ θ ₁…Integral Calculus
Q3602Let y = y(x) be the solution curve of the differential equation, (y² - x)dy/dx = 1, satisfying y(0) = 1. This curve intersects the x-axis at a point whose…Differential Equations
Q3671Let y = y(x) be a function of x satisfying y√(1 - x²) = k - x√(1 - y²) where k is a constant and y(1/2) = - 1/4. Then dy/dx at x = 1/2, is equal to:Limit, Continuity and Differentiability
Q3777If 3x + 4y = 12 2 is a tangent to the ellipse (x²)/(a²) + (y²)/9 = 1 for some a R, then the distance between the foci of the ellipse is:Coordinate Geometry
Q4336Let A, B, C and D be four non-empty sets. The contrapositive statement of "If A B and B D, then A C" is:Mathematical Reasoning
Q4521Let A = [a i j] and B = [b i j] be two 3 × 3 real matrices such that b i j = (3)^(i+j-2)a j i, where i, j = 1, 2, 3. If the determinant of B is 81, then the…Matrices and Determinants
Q4827The number of ordered pairs (r, k) for which 6.³⁵C r = (k² - 3). ³⁶C r + 1, where k is an integer, is:Permutations and Combinations
Q4881In a workshop, there are five machines and the probability of any one of them to be out of service on a day is 1/4. If the probability that at most two…Statistics and Probability
Q5147Let α and β be the roots of the equation x² - x - 1 = 0. If p k = (α)^(k) + (β)^(k), k ≥ 1, then which one of the following statements is not true?Complex Numbers and Quadratic Equations
Q5256Let a₁, a₂, a₃,....... be a G.P. such that a₁ < 0, a₁ + a₂ = 4 and a₃ + a₄ = 16. If Σ i = 1 ⁹ a i = 4λ, then λ is equal to:Sequence and Series
Q5316If the sum of the first 40 terms of the series, 3 + 4 + 8 + 9 + 13 + 14 + 18 + 19 +..... is (102)m, then m is equal to:Sequence and Series
Q5568The locus of the mid-points of the perpendiculars drawn from points on the line, x = 2y to the line x = y is:Coordinate Geometry
Q5811Let a, b and c be three unit vectors such that a + b + c = 0. If λ = a. b + b. c + c. a and d = a × b + b × c + c × a, then the ordered pair, (λ, d) is equal…Vector Algebra