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2020 · 9 Jan · Shift 2

65 questions · JEE Main

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2020 · 9 Jan · Shift 2

2020 · 9 Jan · Shift 2

65 questions · JEE Main

Chemistry20 questions Mathematics20 questions Physics25 questions

Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions D and F Block ElementsChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Coordination CompoundsChemistry · 2 questions P Block ElementsChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Ionic EquilibriumChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions ProbabilityMathematics · 2 questions Sequences and SeriesMathematics · 2 questions Binomial TheoremMathematics · 1 questions FunctionsMathematics · 1 questions Complex NumbersMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Differential EquationsMathematics · 1 questions Definite IntegrationMathematics · 1 questions Vector AlgebraMathematics · 1 questions Sets and RelationsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Area Under the CurvesMathematics · 1 questions DifferentiationMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions CircleMathematics · 1 questions Current ElectricityPhysics · 1 questions ElectrostaticsPhysics · 1 questions Wave OpticsPhysics · 1 questions Electronic DevicesPhysics · 3 questions Heat and ThermodynamicsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Properties of MatterPhysics · 2 questions Units and MeasurementsPhysics · 1 questions GravitationPhysics · 1 questions Rotational MotionPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Motion in A PlanePhysics · 1 questions MagneticsPhysics · 2 questions Center of MassPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Alternating CurrentPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions WavesPhysics · 1 questions

Q1.In the following reaction A is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q2.Which of the following reactions will not produce a racemic product?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q3.The first and second ionisation enthalpies of a metal are 496 and 4560 kJ mol–1, respectively. How many moles of $H C l$ and $H_{2} S O_{4}$ , respectively, will be needed to react completely with 1 mole of the metal hydroxide ?
Chemistry · Periodic Table and Periodicity · MCQ
Q4.A, B and C are three biomolecules. The results of the tests performed on them are given below: $A B C Molisch’s Test Positive Positive Negative Barfoed Test Negative Positive Negative Biuret Test Negative Negative Positive$ …
Chemistry · Practical Organic Chemistry · MCQ
Q5.Consider the following reactions The mass percentage of carbon in A is . Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q6.10.30 mg of $O_{2}$ is dissolved into a liter of sea water of density 1.03 g/mL. The concentration of $O_{2}$ in ppm is .
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q7.The sum of the total number of bonds between chromium and oxygen atoms in chromate and dichromate ions is .
Chemistry · D and F Block Elements · Numerical
Q8.A sample of milk splits after 60 min. at 300 K and after 40 min. at 400 K when the population of lactobacillus acidophilus in it doubles. The activa tion energy (in kJ/ mol) for this process is closest to .…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q9.A cylinder containing an ideal gas (0.1 mol of 1.0 dm3) is in thermal equilibrium with a large volume of 0.5 molal aqueous solution of ethylene glycol at its freezing point. If the stoppers $S_{1}$ and $S_{2}$ (as shown in the figure) are… Includes diagram
Chemistry · Solutions · Numerical
Q10.The true statement amongst the following is :
Chemistry · Thermodynamics · MCQ
Q11.The number of sp2 hybrid orbitals in a molecule of benzene is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q12.The isomer(s) of $[C o (N H_{3})_{4} C l_{2}]$ that has/have a $C l$ – $C o$ – $C l$ angle of 90°, is/are :
Chemistry · Coordination Compounds · MCQ
Q13.The reaction of $H_{3} N_{3} B_{3} C l_{3}$ (A) with $L i B H_{4}$ in tetrahydrofuran gives inorganic benzene (B). Further, the reaction of (A) with (C) leads to $H_{3} N_{3} B_{3} (M e)_{3}$ . Compounds (B) and (C) respectively, are :
Chemistry · P Block Elements · MCQ
Q14.Consider the following reactions, The compound [P] is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q15.5 g of zinc is treated separately with an excess of (a) dilute hydrochloric acid and (b) aqueous sodium hydroxide. The ratio of the volumes of $H_{2}$ evolved in these two reactions is :
Chemistry · D and F Block Elements · MCQ
Q16.The solubility product of $C r (O H)_{3}$ at 298 K is 6.0 × 10–31. The concentration of hydroxide ions in a saturated solution of $C r (O H)_{3}$ will be :
Chemistry · Ionic Equilibrium · MCQ
Q17.The decreasing order of basicity of the following amines is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q18.In the figure shown below reactant A (represented by square) is in equilibrium with product B (represented by circle). The equilibrium constant is : Includes diagram
Chemistry · Chemical Equilibrium · MCQ
Q19.Which of the following has the shortest $C - C l$ bond?
Chemistry · Basics of Organic Chemistry · MCQ
Q20.The correct order of the spin-only magnetic moments of the following complexes is : (I) $[C r (H_{2} O)_{6}] B r_{2}$ (II) $N a_{4} [F e (C N)_{6}]$ (III) $N a_{3} [F e (C_{2} O_{4})_{3}]$ ( $Δ$ 0 $>$ P) (IV) $(E t_{4} N)_{2} [C o C l_{4}]$
Chemistry · Coordination Compounds · MCQ
Q21.If 10 different balls are to be placed in 4 distinct boxes at random, then the probability that two of these boxes contain exactly 2 and 3 balls is :
Mathematics · Probability · MCQ
Q22.The number of terms common to the two A.P.'s 3, 7, 11, ....., 407 and 2, 9, 16, ....., 709 is .
Mathematics · Sequences and Series · Numerical
Q23.In the expansion of $(\frac{x}{c o s θ} + \frac{1}{x s i n θ})^{16}$ , if $ℓ_{1}$ is the least value of the term independent of x when $\frac{π}{8} \leq θ \leq \frac{π}{4}$ and $ℓ_{2}$ is the…
Mathematics · Binomial Theorem · MCQ
Q24.Let a – 2b + c = 1. If $f (x) = x + a x + b x + c x + 2 x + 3 x + 4 x + 1 x + 2 x + 3$ , then:
Mathematics · Functions · MCQ
Q25.If z be a complex number satisfying |Re(z)| + |Im(z)| = 4, then |z| cannot be :
Mathematics · Complex Numbers · MCQ
Q26.If $\int \frac{d θ}{c o s ^{2} θ ( t a n 2 θ + s e c 2 θ )} = λ tan θ + 2 lo g_{e} ∣ f (θ) ∣ + C$ where C is a constant of integration, then the ordered pair ( $λ$ …
Mathematics · Indefinite Integrals · MCQ
Q27.If $\frac{d y}{d x} = \frac{x y}{x ^{2} + y ^{2}}$ ; y(1) = 1; then a value of x satisfying y(x) = e is :
Mathematics · Differential Equations · MCQ
Q28.Let a function ƒ : [0, 5] $\to$ R be continuous, ƒ(1) = 3 and F be defined as : $F (x) = 1 \int x t^{2} g (t) d t$ , where $g (t) = 1 \int t f (u) d u$ Then for the function F, the point x = 1 is :
Mathematics · Definite Integration · MCQ
Q29.Let $a$ , $b$ and $c$ be three vectors such that $a = 3$ , $b = 5, b . c = 10$ and…
Mathematics · Vector Algebra · Numerical
Q30.If A = {x $\in$ R : |x| < 2} and B = {x $\in$ R : |x – 2| $\geq$ 3}; then :
Mathematics · Sets and Relations · MCQ
Q31.If $x = n = 0 \sum \infty (- 1)^{n} tan^{2 n} θ$ and $y = n = 0 \sum \infty cos^{2 n} θ$ for 0 < $θ$ < $\frac{π}{4}$ , then :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q32.Given : $f (x) = ⎩ ⎨ ⎧ x, \frac{1}{2}, 1 - x, 0 \leq x < \frac{1}{2} x = \frac{1}{2} \frac{1}{2} < x \leq 1$ and $g (x) = (x - \frac{1}{2})^{2}, x \in R$ …
Mathematics · Area Under the Curves · MCQ
Q33.If $x = 2 sin θ - sin 2 θ$ and $y = 2 cos θ - cos 2 θ$ , $θ \in [0, 2 π]$ , then $\frac{d ^{2} y}{d x ^{2}}$ at $θ$ = $π$ is :
Mathematics · Differentiation · MCQ
Q34.A random variable X has the following probability distribution : Then P(X > 2) is equal to : Includes table
Mathematics · Probability · MCQ
Q35.Let a, b $\in$ R, a $e$ 0 be such that the equation, ax2 – 2bx + 5 = 0 has a repeated root $α$ , which is also a root of the equation, x2 – 2bx – 10 = 0. If $β$ is the other root of this equation, then $α$ 2 + $β$ 2 is…
Mathematics · Quadratic Equation and Inequalities · MCQ
Q36.The following system of linear equations 7x + 6y – 2z = 0 3x + 4y + 2z = 0 x – 2y – 6z = 0, has
Mathematics · Matrices and Determinants · MCQ
Q37.Let [t] denote the greatest integer $\leq$ t and $x \to 0 lim x [\frac{4}{x}] = A$ . Then the function, f(x) = [x2]sin( $π$ x) is discontinuous, when x is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q38.If the curves, x2 – 6x + y2 + 8 = 0 and x2 – 8y + y2 + 16 – k = 0, (k > 0) touch each other at a point, then the largest value of k is .
Mathematics · Circle · Numerical
Q39.Let ƒ and g be differentiable functions on R such that fog is the identity function. If for some a, b $\in$ R, g'(a) = 5 and g(a) = b, then ƒ'(b) is equal to :
Mathematics · Differentiation · MCQ
Q40.Let an be the nth term of a G.P. of positive terms. $n = 1 \sum 100 a_{2 n + 1} = 200$ and $n = 1 \sum 100 a_{2 n} = 100$ , then $n = 1 \sum 200 a_{n}$ is equal to :
Mathematics · Sequences and Series · MCQ
Q41.In a meter bridge experiment S is a standard resistance. R is a resistance wire. It is found that balancing length is $l$ = 25 cm. If R is replaced by a wire of half length and half diameter that of R of same material, then the balancing… Includes diagram
Physics · Current Electricity · Numerical
Q42.An electric field $E = 4 x i - (y^{2} + 1) j$ N/C passes through the box shown in figure. The flux of the electric field through surfaces ABCD and BCGF are marked as $ϕ_{I}$ and $ϕ_{I I}$ … Includes diagram
Physics · Electrostatics · Numerical
Q43.In a Young's double slit experiment 15 fringes are observed on a small portion of the screen when light of wavelength 500 nm is used. Ten fringes are observed on the same section of the screen when another light source of wavelength $λ$ …
Physics · Wave Optics · Numerical
Q44.The circuit shown below is working as a 8 V dc regulated voltage source. When 12 V is used as input, the power dissipated (in mW) in each diode is; (considering both zener diodes are identical) . Includes diagram
Physics · Electronic Devices · Numerical
Q45.Starting at temperature 300 K, one mole of an ideal diatomic gas ( $γ$ = 1.4) is first compressed adiabatically from volume V1 to V2 = $\frac{V _{1}}{16}$ . It is then allowed to expand isobarically to volume 2V2. If all the processes…
Physics · Heat and Thermodynamics · Numerical
Q46.An electron of mass m and magnitude of charge |e| initially at rest gets accelerated by a constant electric field E. The rate of change of de-Broglie wavelength of this electron at time t ignoring relativistic effects is :
Physics · Dual Nature of Radiation · MCQ
Q47.Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is 1 : 4, the ratio of their diameters is:
Physics · Properties of Matter · MCQ
Q48.For the four sets of three measured physical quantities as given below. Which of the following options is correct ? (i) A1 = 24.36, B1 = 0.0724, C1 = 256.2 (ii) A2 = 24.44, B2 = 16.082, C2 = 240.2 (iii) A3 = 25.2, B3 = 19.2812, C3 =…
Physics · Units and Measurements · MCQ
Q49.Planet A has mass M and radius R. Planet B has half the mass and half the radius of Planet A. If the escape velocities from the Planets A and B are vA and vB, respectively, then $\frac{v _{A}}{v _{B}} = \frac{n}{4}$ . The value of n is :
Physics · Gravitation · MCQ
Q50.A uniformly thick wheel with moment of inertia I and radius R is free to rotate about its centre of mass (see fig). A massless string is wrapped over its rim and two blocks of masses m1 and m2 (m1 $>$ m2) are attached to the ends of the… Includes diagram
Physics · Rotational Motion · MCQ
Q51.Two identical capacitors A and B, charged to the same potential 5V are connected in two different circuits as shown below at time t = 0. If the charge on capacitors A and B at time t = CR is QA and QB respectively, then (Here e is the base… Includes diagram
Physics · Electronic Devices · MCQ
Q52.The energy required to ionise a hydrogen like ion in its ground state is 9 Rydbergs. What is the wavelength of the radiation emitted when the electron in this ion jumps from the second excited state to the ground state ?
Physics · Atoms and Nuclei · MCQ
Q53.A particle starts from the origin at t = 0 with an initial velocity of 3.0 $i$ m/s and moves in the x-y plane with a constant acceleration $(6 i + 4 j)$ m/s2 . The x-coordinate of the particle at…
Physics · Motion in A Plane · MCQ
Q54.An electron gun is placed inside a long solenoid of radius R on its axis. The solenoid has n turns/length and carries a current I. The electron gun shoots an electron along the radius of the solenoid with speed v. If the electron does not… Includes diagram
Physics · Magnetics · MCQ
Q55.A particle of mass m is projected with a speed u from the ground at an angle $θ = \frac{π}{3}$ w.r.t. horizontal (x-axis). When it has reached its maximum height, it collides completely inelastically with another particle of the…
Physics · Center of Mass · MCQ
Q56.Two gases-argon (atomic radius 0.07 nm, atomic weight 40) and xenon (atomic radius 0.1 nm, atomic weight 140) have the same number density and are at the same temperature. The raito of their respective mean free times is closest to :
Physics · Heat and Thermodynamics · MCQ
Q57.There is a small source of light at some depth below the surface of water (refractive index = $\frac{4}{3}$ ) in a tank of large cross sectional surface area. Neglecting any reflection from the bottom and absorption by water, percentage of…
Physics · Geometrical Optics · MCQ
Q58.In LC circuit the inductance L = 40 mH and capacitance C = 100 $μ$ F. If a voltage V(t) = 10sin(314t) is applied to the circuit, the current in the circuit is given as :
Physics · Alternating Current · MCQ
Q59.The current i in the network is : Includes diagram
Physics · Electronic Devices · MCQ
Q60.A small circular loop of conducting wire has radius a and carries current I. It is placed in a uniform magnetic field B perpendicular to its plane such that when rotated slightly about its diameter and released, it starts performing simple…
Physics · Magnetics · MCQ
Q61.A small spherical droplet of density d is floating exactly half immersed in a liquid of density $ρ$ and surface tension T. The radius of the droplet is (take note that the surface tension applies an upward force on the droplet) :
Physics · Properties of Matter · MCQ
Q62.A plane electromagnetic wave is propagating along the direction $\frac{i + j}{2}$ , with its polarization along the direction $k$ . The correct form of the magnetic field of the wave would be (here B0…
Physics · Electromagnetic Waves · MCQ
Q63.A rod of length L has non-uniform linear mass density given by $ρ$ (x) = $a + b (\frac{x}{L})^{2}$ , where a and b are constants and 0 $\leq$ x $\leq$ L. The value of x for the centre of mass of the rod is at :
Physics · Center of Mass · MCQ
Q64.A spring mass system (mass m, spring constant k and natural length $l$ ) rest in equilibrium on a horizontal disc. The free end of the spring is fixed at the centre of the disc. If the disc together with spring mass system, rotates about…
Physics · Simple Harmonic Motion · MCQ
Q65.A wire of length L and mass per unit length 6.0 × 10–3 kgm–1 is put under tension of 540 N. Two consecutive frequencies that it resonates at are : 420 Hz and 490 Hz. Then L in meters is :
Physics · Waves · MCQ