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 2016 Session Shift 1 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 2016Session, Shift 1

Physics 19Chemistry 19Mathematics 29

Physics

Q5873An arc lamp requires a direct current of 10 A at 80 V to function. If it is connected to a 220 V (rms), 50 Hz AC supply, the series inductor needed for it to…Electromagnetic Induction and Alternating Currents
Q6084Half-lives of two radioactive elements A and B are 20 minutes and 40 minutes, respectively. Initially, the samples have equal number of nuclei. After 80…Atoms and Nuclei
Q6336Choose the correct statement:Communication Systems
Q6453A galvanometer having a coil resistance of 100 Ω gives a full scale deflection, when a currect of 1 mA is passed through it. The value of the resistance…Current Electricity
Q6622Radiation of wavelength λ, is incident on a photocell. The fastest emitted electron has speed v. If the wavelength is changed to (3λ)/4, the speed of the…Dual Nature of Matter and Radiation
Q6835Arrange the following electromagnetic radiations per quantum in the order of increasing energy: A: Blue light B: Yellow light C: X-ray D: Radiowave.Electromagnetic Waves
Q7062An observer looks at a distant tree of height 10 m with a telescope of magnifying power of 20. To the observer the tree appears:Optics
Q7097In an experiment for determination of refractive index of glass of a prism by i - δ, plot it was found thata ray incident at angle 35°, suffers a deviation of…Optics
Q7181A satellite is revolving in a circular orbit at a height 'h' from the earth's surface (radius of earth R;h < < R). The minimum increase in its orbital…Gravitation
Q7472An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity C remains constant. If during this process the relation of pressure…Thermodynamics
Q7509A pendulum clock loses 12 s a day if the temperature is 40° C and gains 4 s a day if the temperature is 20° C. The temperature at which the clock will show…Thermodynamics
Q7673Two identical wires A and B, each of length 'l', carry the same current I. Wire A is bent into a circle of radius R and wire B is bent to form a square of…Magnetic Effects of Current and Magnetism
Q8142A particle performs simple harmonic motion with amplitude A. Its speed is trebled at the instant that it is at a distance 2A/3 from equilibrium position. The…Oscillations and Waves
Q8290A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s and 92 s. If the minimum division in…Units and Measurements
Q8328A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of Aluminium. Before starting the…Experimental Skills
Q8391The box of a pin hole camera, of length L, has a hole of radius a. It is assumed that when the hole is illuminated by a parallel beam of light of wavelength λ…Optics
Q8483A uniform string of length 20 m is suspended from a rigid support. A short wave pulse is introduced at its lowest end. It starts moving up the string. The…Oscillations and Waves
Q8545A pipe open at both ends has a fundamental frequency f in air. The pipe is dipped vertically in water so that half of it is in water. The fundamental…Oscillations and Waves
Q8575A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times. Assume that the potential energy lost each time he lowers…Work, Energy and Power

Chemistry

Q114The distillation technique most suited for separating glycerol from spent-lye in the soap industry is:Some Basic Principles of Organic Chemistry
Q196Thiol group is present in:Biomolecules
Q406The equilibrium constant at 298 K for a reaction A + B C + D is 100. If the initial concentration of all the four species were 1M each, then equilibrium…Equilibrium
Q469Decomposition of H₂O₂ follows a first order reaction. In fifty minutes the concentration of H₂O₂ decreases from 0.5 to 0.125 M in one such decomposition. When…Chemical Kinetics
Q524In the Hofmann bromamide degradation reaction, the number of moles of NaOH and Br₂ used per mole of amine produced are:Organic Compounds Containing Nitrogen
Q672Which one of the following complexes shows optical isomerism? (en = ethylenediamine)Coordination Compounds
Q713The pair having the same magnetic moment is: [At. No.: Cr = 24, Mn = 25, Fe = 26, Co = 27]Coordination Compounds
Q859Which of the following compounds is metallic and ferromagnetic ?d- and f-Block Elements
Q914Galvanization is applying a coating of:Redox Reactions and Electrochemistry
Q1079The concentration of fluoride, lead, nitrate and iron in a water sample from an underground lake was found to be 1000 ppb, 40 ppb, 100 ppm and 0.2 ppm…Environmental Chemistry
Q1168At 300 K and 1 atm, 15 mL of a gaseous hydrocarbon requires 375 mL air containing 20% O₂ by volume for complete combustion. After combustion the gases occupy…Hydrocarbons
Q1266Which one of the following statements about water is FALSE?Hydrogen
Q1351Which one of the following ores is best concentrated by froth floatation method?Isolation of Elements
Q1717Which of the following statements about low density polythene is FALSE ?Polymers
Q1845Which of the following atoms has the highest first ionization energy?S Block Elements
Q1846The main oxides formed on combustion of Li, Na and K in excess of air are, respectively:S Block Elements
Q200718 g glucose (C₆H₁₂O₆) is added to 178.2 g water. The vapor pressure of water (in torr) for this aqueous solution is:Solutions
Q2131A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If e and m are charge and mass of an…Atomic Structure
Q2346The heats of combustion of carbon and carbon monoxide are –393.5 and –283.5 kJ mol^–1, respectively. The heat of formation (in kJ) of carbon monoxide per mole…Chemical Thermodynamics

Mathematics

Q2396If the line, (x - 3)/2 = (y + 2)/(- 1) = (z + 4)/3 lies in the planes, lx+my-z=9, then l² + m² is equal to:Three Dimensional Geometry
Q2397The distance of the point (1,-5,9) from the plane x-y+z=5 measured along the line x=y=z is:Three Dimensional Geometry
Q2633A wire of length 2 units is cut into two parts which are bent respectively to form a square of side =x units and a circle of radius =r units. If the sum of…Limit, Continuity and Differentiability
Q2761Consider: f (x) = tan ⁻¹(√((1 + sin x)/(1 - sin x))),x (0,(π)/2). A normal to y = f (x) at x = (π)/6 also passes through the point:Limit, Continuity and Differentiability
Q2806The area (in sq. units) of the region (x,y):y² ≥ 2x and x² + y² ≤ 4x,x ≥ 0,y ≥ 0 is:Integral Calculus
Q2975If the number of terms in the expansion of (1 - 2/x + 4/(x²))ⁿ, x ≠ 0, is 28, then the sum of the coefficients of all the terms in this expansion, is:Binomial Theorem and Its Simple Applications
Q3043If one of the diameters of the circle, given by the equation, x² + y² - 4x + 6y - 12 = 0, is a chord of a circle S, whose centre is at (-3, 2), then the…Coordinate Geometry
Q3066The centres of those circles which touch the circle, x² + y² - 8x - 8y - 4 = 0, externally and also touch the x -axis, lie on:Coordinate Geometry
Q3148A value of θ for which (2 + 3i sin θ)/(1 - 2i sin θ) is purely imaginary, is:Complex Numbers and Quadratic Equations
Q3283lim n → ∞ (((n + 1)(n + 2)...3n)/(n²ⁿ))^(1/n) is equal to:Integral Calculus
Q3584If a curve y=f(x) passes through the point (1,-1) and satisfies the differential equation, y(1+xy) dx=x dy, then f(- 1/2) is equal to:Differential Equations
Q3858If f(x)+2 f(1/x)=3 x, x ≠ 0, and S= R: f(x)=f(-x); then S:Sets, Relations and Functions
Q3906A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation…Height and Distance
Q3959The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between…Coordinate Geometry
Q4003The integral ∫ (2x¹² + 5x⁹)/((x⁵ + x³ + 1)³) dx is equal to:Integral Calculus
Q4180For x R, f(x) = | log 2 - sin x | and g(x) = f(f(x)), then:Limit, Continuity and Differentiability
Q4269Let p = lim x → 0⁺ (1 + tan ² x)^(1/2x) then log p is equal to:Limit, Continuity and Differentiability
Q4313The Boolean expression (p q) q (p q) is equivalent to:Mathematical Reasoning
Q4423If A = [ 5a - b 3 2 ] and A adj A=A A^(T), then 5a+b is equal to:Matrices and Determinants
Q4556The system of linear equations x + λ y - z = 0 λ x - y - z = 0 x + y - λ z = 0 has a non-trivial solution for:Matrices and Determinants
Q4703Let P be the point on the parabola, y² = 8x which is at a minimum distance from the centre C of the circle, x² + (y + 6)² = 1. Then the equation of the…Coordinate Geometry
Q4841If all the words (with or without meaning) having five letters,formed using the letters of the word SMALL and arranged as in a dictionary, then the position…Permutations and Combinations
Q4942Let two fair six-faced dice A and B be thrown simultaneously. If E₁ is the event that die A shows up four, E₂ is the event that die B shows up two and E₃ is…Statistics and Probability
Q5107The sum of all real values of x satisfying the equation (x² - 5x + 5)^(x² + 4x - 60) = 1 is:Complex Numbers and Quadratic Equations
Q5246If the 2^(nd),5^(th) and 9^(th) terms of a non-constant A.P. are in G.P., then the common ratio of this G.P. is:Sequence and Series
Q5293If the sum of the first ten terms of the series (13/5)² + (22/5)² + (31/5)² + 4² + (44/5)² +.......is 16/5m, then m is equal to:Sequence and Series
Q5432If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then which of the following is true?Statistics and Probability
Q5599Two sides of a rhombus are along the lines, x - y + 1 = 0 and 7x - y - 5 = 0. If its diagonals intersect at (-1, -2), then which one of the following is a…Coordinate Geometry
Q5718Let a, b and c be three unit vectors such that a × (b × c) = (3)/2(b + c). If b is not parallel to c, then the angle between a and b is:Vector Algebra