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Friday, 9 October

JEE Main 2017 ·

JEE Main 2 April 2017 (offline)

89 questions (1 more dropped by NTA): 0 numerical-answer and 89 multiple choice. 12 were rated hard and 26 easy. The biggest chapter was Haloalkanes and Haloarenes, with 4 questions.

Questions
89
1 dropped by NTA
Numerical answer
0
0% of the shift
Hard
12
13% of the shift
Chapters asked
64
17 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
30 Q · 0 numerical
Easy 11Medium 17Hard 2

Top chapters

Chemistry
30 Q · 0 numerical
Easy 13Medium 14Hard 3

Top chapters

Maths
29 Q · 0 numerical
Easy 2Medium 20Hard 7

Top chapters

Question format
  • Single correct87 Q
  • Other2 Q
What each question asks you to do
  • Multi-step32 Q
  • Calculation24 Q
  • Application11 Q
  • Conceptual10 Q
  • Recall7 Q
  • Data or graph5 Q

Most common: Multi-step.

Every question

All 90 questions, with answers

Open a question for the full text, options, the official answer and the same idea in other shifts.

Physics Q1–30

  1. Q1A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg…MediumMechanical Properties of Solids
  2. Q2A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs time ?EasyMotion in a Straight Line
  3. Q3A body of mass m=10−2m=10^{-2} kg is moving in a medium and experiences a frictional force F=−kv2F=-kv^2. Its initial speed is v0=10 ms−1v_0=10\ \mathrm{ms^{-1}}.…HardLaws of Motion
  4. Q4A time dependent force F=6tF=6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done by the force during the first 1 sec.…EasyWork, Energy and Power
  5. Q5The moment of inertia of a uniform cylinder of length ll and radius RR about its perpendicular bisector is I. What is the ratio l/Rl/R such that…HardSystem of Particles and Rotational Motion
  6. Q6A slender uniform rod of mass M and length ll is pivoted at one end so that it can rotate in a vertical plane (see figure). There is negligible…MediumSystem of Particles and Rotational Motion
  7. Q7The variation of acceleration due to gravity g with distance d from centre of the earth is best represented by (R = Earth's radius) :EasyGravitation
  8. Q8A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm, filled with 170 gm of water at room…EasyThermal Properties of Matter
  9. Q9An external pressure P is applied on a cube at 0°C so that it is equally compressed from all sides. K is the bulk modulus of the material of the…MediumThermal Properties of Matter
  10. Q10CpC_p and CvC_v are specific heats at constant pressure and constant volume respectively. It is observed that Cp−Cv=aC_p - C_v = a for hydrogen gas…EasyThermodynamics
  11. Q11The temperature of an open room of volume 30 m330\ \mathrm{m^3} increases from 17∘17^\circC to 27∘27^\circC due to the sunshine. The atmospheric pressure…MediumKinetic Theory
  12. Q12A particle is executing simple harmonic motion with a time period T. At time t=0t=0, it is at its position of equilibrium. The kinetic energy - time…MediumOscillations
  13. Q13An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10 GHz. What is the frequency…MediumDual Nature of Radiation and Matter
  14. Q14An electric dipole has a fixed dipole moment p⃗\vec{p}, which makes angle θ\theta with respect to xx-axis. When subjected to an electric field…MediumElectrostatic Potential and Capacitance
  15. Q15A capacitance of 2 μF2\ \mu\mathrm{F} is required in an electrical circuit across a potential difference of 1.0 kV. A large number of…MediumElectrostatic Potential and Capacitance
  16. Q16In the given circuit diagram when the current reaches steady state in the circuit, the charge on the capacitor of capacitance C will be :EasyCurrent Electricity
  17. Q17In the above circuit the current in each resistance is :MediumCurrent Electricity
  18. Q18A magnetic needle of magnetic moment 6.7×10−2 Am26.7\times10^{-2}\ \mathrm{Am^2} and moment of inertia 7.5×10−6 kg m27.5\times10^{-6}\ \mathrm{kg\,m^2} is performing…EasyMagnetism and Matter
  19. Q19When a current of 5 mA is passed through a galvanometer having a coil of resistance 15 Ω15\ \Omega, it shows full scale deflection. The value of the…EasyMoving Charges and Magnetism
  20. Q20In a coil of resistance 100 Ω100\ \Omega, a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change…MediumElectromagnetic Induction
  21. Q21An electron beam is accelerated by a potential difference V to hit a metallic target to produce X-rays. It produces continuous as well as…MediumAtoms
  22. Q22A diverging lens with magnitude of focal length 25 cm is placed at a distance of 15 cm from a converging lens of magnitude of focal length 20 cm. A…MediumRay Optics and Optical Instruments
  23. Q23In a Young's double slit experiment, slits are separated by 0.5 mm, and the screen is placed 150 cm away. A beam of light consisting of two…MediumWave Optics
  24. Q24A particle A of mass m and initial velocity vv collides with a particle B of mass m2\frac{m}{2} which is at rest. The collision is head on, and…MediumDual Nature of Radiation and Matter
  25. Q25Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths r=λ1/λ2r=\lambda_1/\lambda_2, is given by :EasyAtoms
  26. Q26A radioactive nucleus A with a half life T, decays into a nucleus B. At t=0t=0, there is no nucleus B. At sometime t, the ratio of the number of B to…MediumNuclei
  27. Q27In a common emitter amplifier circuit using an n-p-n transistor, the phase difference between the input and the output voltages will be :EasySemiconductor Electronics: Materials, Devices and Simple Circuits
  28. Q28In amplitude modulation, sinusoidal carrier frequency used is denoted by ωc\omega_c and the signal frequency is denoted by ωm\omega_m. The bandwidth…EasyCommunication Systems
  29. Q29Which of the following statements is **false** ?MediumCurrent Electricity
  30. Q30The following observations were taken for determining surface tension T of water by capillary method : diameter of capillary, D=1.25×10−2D=1.25\times10^{-2}…MediumUnits and Measurements

Chemistry Q31–60

  1. Q31Given C(graphite)+O2(g)→CO2(g)\mathrm{C_{(graphite)}+O_2(g)\rightarrow CO_2(g)} ; ΔrH∘=−393.5 kJ mol−1\Delta_rH^\circ=-393.5\ \mathrm{kJ\,mol^{-1}}…EasyThermodynamics (Chemistry)
  2. Q321 gram of a carbonate (M2CO3\mathrm{M_2CO_3}) on treatment with excess HCl produces 0.01186 mole of CO2\mathrm{CO_2}. The molar mass of…EasySome Basic Concepts of Chemistry
  3. Q33ΔU\Delta U is equal to :EasyThermodynamics (Chemistry)
  4. Q34The Tyndall effect is observed only when following conditions are satisfied : (a) The diameter of the dispersed particles is much smaller than the…MediumSurface Chemistry
  5. Q35A metal crystallises in a face centred cubic structure. If the edge length of its unit cell is 'a', the closest approach between two atoms in…EasyThe Solid State
  6. Q36Given ECl2/Cl−∘=1.36E^\circ_{\mathrm{Cl_2/Cl^-}}=1.36 V, ECr3+/Cr∘=−0.74E^\circ_{\mathrm{Cr^{3+}/Cr}}=-0.74 V ECr2O72−/Cr3+∘=1.33E^\circ_{\mathrm{Cr_2O_7^{2-}/Cr^{3+}}}=1.33 V,…EasyElectrochemistry
  7. Q37The freezing point of benzene decreases by 0.45°C when 0.2 g of acetic acid is added to 20 g of benzene. If acetic acid associates to form a dimer…MediumSolutions
  8. Q38The radius of the second Bohr orbit for hydrogen atom is : (Planck's Const. h=6.6262×10−34h=6.6262\times10^{-34} Js; mass of electron =9.1091×10−31=9.1091\times10^{-31}…EasyStructure of Atom
  9. Q39Two reactions R1R_1 and R2R_2 have identical pre-exponential factors. Activation energy of R1R_1 exceeds that of R2R_2 by 10 kJ mol−1^{-1}. If k1k_1…EasyChemical Kinetics
  10. Q40pKapK_a of a weak acid (HA) and pKbpK_b of a weak base (BOH) are 3.2 and 3.4, respectively. The pH of their salt (AB) solution is :EasyEquilibrium
  11. Q41Both lithium and magnesium display several similar properties due to the diagonal relationship; however, the one which is incorrect, is :MediumThe s-Block Elements
  12. Q42Which of the following species is **not** paramagnetic ?EasyChemical Bonding and Molecular Structure
  13. Q43Which of the following reactions is an example of a redox reaction ?MediumThe p-Block Elements
  14. Q44A water sample has ppm level concentration of following anions F−=10\mathrm{F^-}=10 ; SO42−=100\mathrm{SO_4^{2-}}=100 ; NO3−=50\mathrm{NO_3^-}=50 The anion/anions…EasyEnvironmental Chemistry
  15. Q45The group having isoelectronic species is :EasyClassification of Elements and Periodicity in Properties
  16. Q46The products obtained when chlorine gas reacts with cold and dilute aqueous NaOH are :EasyThe p-Block Elements
  17. Q47In the following reactions, ZnO is respectively acting as a/an : (a) ZnO+Na2O→Na2ZnO2\mathrm{ZnO+Na_2O\rightarrow Na_2ZnO_2} (b)…MediumThe d- and f-Block Elements
  18. Q48Sodium salt of an organic acid 'X' produces effervescence with conc. H2SO4\mathrm{H_2SO_4}. 'X' reacts with the acidified aqueous CaCl2\mathrm{CaCl_2}…MediumAldehydes, Ketones and Carboxylic Acids
  19. Q49The most abundant elements by mass in the body of a healthy human adult are : Oxygen (61.4%); Carbon (22.9%), Hydrogen (10.0%); and Nitrogen (2.6%).…MediumStructure of Atom
  20. Q50On treatment of 100 mL of 0.1 M solution of CoCl3.6H2O\mathrm{CoCl_3.6H_2O} with excess AgNO3\mathrm{AgNO_3}; 1.2×10221.2\times10^{22} ions are precipitated. The…MediumCoordination Compounds
  21. Q51Which of the following compounds will form significant amount of *meta* product during mono-nitration reaction ?MediumHaloalkanes and Haloarenes
  22. Q52Which of the following, upon treatment with *tert*-BuONa followed by addition of bromine water, fails to decolourize the colour of bromine ?HardHaloalkanes and Haloarenes
  23. Q53The formation of which of the following polymers involves hydrolysis reaction ?EasyPolymers
  24. Q54Which of the following molecules is least resonance stabilized ?MediumOrganic Chemistry: Some Basic Principles and Techniques
  25. Q55The increasing order of the reactivity of the following halides for the SN1\mathrm{S_N1} reaction is : CH3CHCH2CH3\mathrm{CH_3CHCH_2CH_3} with Cl on the…MediumHaloalkanes and Haloarenes
  26. Q56The major product obtained in the following reaction is : [reaction: (+)-C6H5CH(Br)CH2C6H5\mathrm{C_6H_5CH(Br)CH_2C_6H_5} (Br on wedge, H on hash at the…MediumHaloalkanes and Haloarenes
  27. Q57Which of the following compounds will behave as a reducing sugar in an aqueous KOH solution ?HardBiomolecules
  28. Q583-Methyl-pent-2-ene on reaction with HBr in presence of peroxide forms an addition product. The number of possible stereoisomers for the product is :MediumHydrocarbons
  29. Q59The correct sequence of reagents for the following conversion will be : [reaction: 4-formylcyclohexanone (ring bearing C=O at the top and CHO at the…HardAldehydes, Ketones and Carboxylic Acids
  30. Q60The major product obtained in the following reaction is : [reaction: bicyclic lactone (cyclopentene fused to a five-membered lactone, with COOH on…MediumAldehydes, Ketones and Carboxylic Acids

Maths Q61–90

  1. Q61The function f:R→[−12,12]f:\mathbf{R}\rightarrow\left[-\frac{1}{2},\frac{1}{2}\right] defined as f(x)=x1+x2f(x)=\frac{x}{1+x^2}, is :MediumRelations and Functions
  2. Q62If, for a positive integer n, the quadratic equation, x(x+1)+(x+1)(x+2)+…+(x+n−1‾)(x+n)=10nx(x+1)+(x+1)(x+2)+\ldots+(x+\overline{n-1})(x+n)=10n has two consecutive integral solutions,…HardComplex Numbers and Quadratic Equations
  3. Q63Let ω\omega be a complex number such that 2ω+1=z2\omega+1=z where z=−3z=\sqrt{-3}. If…MediumDeterminants
  4. Q64If A=[2−3−41]A=\begin{bmatrix}2&-3\\-4&1\end{bmatrix}, then adj(3A2+12A)\mathrm{adj}(3A^2+12A) is equal to :MediumDeterminants
  5. Q65If S is the set of distinct values of 'b' for which the following system of linear equations x+y+z=1x+y+z=1 x+ay+z=1x+ay+z=1 ax+by+z=0ax+by+z=0 has no solution, then…MediumDeterminants
  6. Q66A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no…HardPermutations and Combinations
  7. Q67The value of (21C1−10C1)+(21C2−10C2)+(21C3−10C3)+(21C4−10C4)+…+(21C10−10C10)(^{21}C_1-{}^{10}C_1)+(^{21}C_2-{}^{10}C_2)+(^{21}C_3-{}^{10}C_3)+(^{21}C_4-{}^{10}C_4)+\ldots+(^{21}C_{10}-{}^{10}C_{10}) is :MediumBinomial Theorem
  8. Q68For any three positive real numbers a, b and c, 9(25a2+b2)+25(c2−3ac)=15b(3a+c)9(25a^2+b^2)+25(c^2-3ac)=15b(3a+c). Then :HardSequences and Series
  9. Q69Let a,b,c∈Ra,b,c\in\mathbf{R}. If f(x)=ax2+bx+cf(x)=ax^2+bx+c is such that a+b+c=3a+b+c=3 and f(x+y)=f(x)+f(y)+xy, ∀ x,y∈Rf(x+y)=f(x)+f(y)+xy,\ \forall\ x,y\in\mathbf{R}, then…MediumSequences and Series
  10. Q70lim⁡x→π2cot⁡x−cos⁡x(π−2x)3\lim_{x\to\frac{\pi}{2}}\frac{\cot x-\cos x}{(\pi-2x)^3} equals :HardLimits and Derivatives
  11. Q71If for x∈(0,14)x\in\left(0,\frac{1}{4}\right), the derivative of tan⁡−1(6xx1−9x3)\tan^{-1}\left(\frac{6x\sqrt{x}}{1-9x^3}\right) is x⋅g(x)\sqrt{x}\cdot g(x), then g(x)g(x)…MediumContinuity and Differentiability
  12. Q72The normal to the curve y(x−2)(x−3)=x+6y(x-2)(x-3)=x+6 at the point where the curve intersects the yy-axis passes through the point :MediumApplication of Derivatives
  13. Q73Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the…MediumApplication of Derivatives
  14. Q74Let In=∫tan⁡nx dx, (n>1)I_n=\int\tan^n x\,dx,\ (n>1). If I4+I6=atan⁡5x+bx5+CI_4+I_6=a\tan^5x+bx^5+C, where C is a constant of integration, then the ordered pair (a, b) is equal to :MediumIntegrals
  15. Q75The integral ∫π/43π/4dx1+cos⁡x\int_{\pi/4}^{3\pi/4}\frac{dx}{1+\cos x} is equal to :EasyIntegrals
  16. Q76The area (in sq. units) of the region {(x,y):x≥0, x+y≤3, x2≤4y and y≤1+x}\{(x,y):x\geq0,\ x+y\leq3,\ x^2\leq4y\ \text{and}\ y\leq1+\sqrt{x}\} is :HardApplication of Integrals
  17. Q77If (2+sin⁡x)dydx+(y+1)cos⁡x=0(2+\sin x)\frac{dy}{dx}+(y+1)\cos x=0 and y(0)=1y(0)=1, then y(π2)y\left(\frac{\pi}{2}\right) is equal to :MediumDifferential Equations
  18. Q78Let k be an integer such that the triangle with vertices (k,−3k)(k,-3k), (5,k)(5,k) and (−k,2)(-k,2) has area 28 sq. units. Then the orthocentre of this…MediumStraight Lines
  19. Q79The radius of a circle, having minimum area, which touches the curve y=4−x2y=4-x^2 and the lines, y=∣x∣y=|x| is :HardConic SectionsDropped
  20. Q80The eccentricity of an ellipse whose centre is at the origin is 12\frac{1}{2}. If one of its directrices is x=−4x=-4, then the equation of the normal…MediumConic Sections
  21. Q81A hyperbola passes through the point P(2,3)P(\sqrt{2},\sqrt{3}) and has foci at (±2,0)(\pm2,0). Then the tangent to this hyperbola at P also passes through…MediumConic Sections
  22. Q82The distance of the point (1,3,−7)(1,3,-7) from the plane passing through the point (1,−1,−1)(1,-1,-1), having normal perpendicular to both the lines…MediumThree Dimensional Geometry
  23. Q83If the image of the point P(1,−2,3)P(1,-2,3) in the plane, 2x+3y−4z+22=02x+3y-4z+22=0 measured parallel to the line, x1=y4=z5\frac{x}{1}=\frac{y}{4}=\frac{z}{5} is Q, then…MediumThree Dimensional Geometry
  24. Q84Let a⃗=2i^+j^−2k^\vec{a}=2\hat{i}+\hat{j}-2\hat{k} and b⃗=i^+j^\vec{b}=\hat{i}+\hat{j}. Let c⃗\vec{c} be a vector such that ∣c⃗−a⃗∣=3|\vec{c}-\vec{a}|=3,…HardVector Algebra
  25. Q85A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green…EasyProbability
  26. Q86For three events A, B and C, P(Exactly one of A or B occurs) == P(Exactly one of B or C occurs) == P(Exactly one of C or A occurs) =14=\frac{1}{4}…HardProbability
  27. Q87If two different numbers are taken from the set {0,1,2,3,……,10}\{0,1,2,3,\ldots\ldots,10\}; then the probability that their sum as well as absolute difference…MediumProbability
  28. Q88If 5(tan⁡2x−cos⁡2x)=2cos⁡2x+95(\tan^2x-\cos^2x)=2\cos2x+9, then the value of cos⁡4x\cos4x is :MediumTrigonometric Functions
  29. Q89Let a vertical tower AB have its end A on the level ground. Let C be the mid-point of AB and P be a point on the ground such that AP=2ABAP=2AB. If…MediumTrigonometric Functions
  30. Q90The following statement (p→q)→[(∼p→q)→q](p\rightarrow q)\rightarrow[(\sim p\rightarrow q)\rightarrow q] is :MediumMathematical Reasoning

Questions from the official paper published by NTA (CBSE ran the 2017 exam), answers from the final key. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026; see the other 2017 shifts.