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2020 · 7 Jan · Shift 1

66 questions · JEE Main

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2020 · 7 Jan · Shift 1

2020 · 7 Jan · Shift 1

66 questions · JEE Main

Chemistry22 questions Mathematics20 questions Physics24 questions

Chemical Bonding and Molecular StructureChemistry · 3 questions ThermodynamicsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Structure of AtomChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions HydrocarbonsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Salt AnalysisChemistry · 1 questions SolutionsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Redox ReactionsChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Permutations and CombinationsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Complex NumbersMathematics · 1 questions Vector AlgebraMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions DifferentiationMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions StatisticsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Differential EquationsMathematics · 1 questions FunctionsMathematics · 1 questions Definite IntegrationMathematics · 1 questions Binomial TheoremMathematics · 1 questions ProbabilityMathematics · 1 questions EllipseMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Atoms and NucleiPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Work Power and EnergyPhysics · 2 questions CapacitorPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Current ElectricityPhysics · 1 questions Electronic DevicesPhysics · 1 questions Rotational MotionPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Alternating CurrentPhysics · 1 questions GravitationPhysics · 1 questions WavesPhysics · 1 questions ElectrostaticsPhysics · 1 questions Electromagnetic InductionPhysics · 3 questions Wave OpticsPhysics · 2 questions Center of MassPhysics · 1 questions

Q1.Chlorine reacts with hot and concentrated NaOH and produces compounds (X) and (Y). Compound (X) gives white precipitate with silver nitrate solution. The average bond order between CI and O atoms in (Y) is.
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q2.For the reaction : A( $l$ ) $\to$ 2B(g) $Δ U = 2.1 k c a l, Δ S = 20 c a l K^{- 1}$ at 300 K Hence $Δ$ G in kcal is :
Chemistry · Thermodynamics · Numerical
Q3.During the nuclear explosion, one of the products is 90Sr with half life of 6.93 years. If 1 $μ$ g of 90Sr was absorbed in the bones of newly born baby in placed of Ca, how much time, in years, is required to reduce much time, in year,…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q4.Two solutions, A and B, each of 100L was made by dissolving 4g of $N a O H$ and 9.8 g of $H_{2} S O_{4}$ in water, respectively. The pH of the resultant solution obtained from mixing 40L of solution A and 10L of solution B is :
Chemistry · Ionic Equilibrium · Numerical
Q5.The number of orbitals associated with quantum number n = 5, ms = + $\frac{1}{2}$ is :
Chemistry · Structure of Atom · MCQ
Q6.What is the product of following reaction ? Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q7.Given that the standard potentials (Eo) of $C u^{2 +}$ / $C u$ and $C u^{+}$ / $C u$ are 0.34 V and 0.522 V respectively, the Eo of $C u^{2 +}$ / $C u^{+}$ :
Chemistry · Electrochemistry · MCQ
Q8.Consider the following reaction : The product 'X' is used : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q9.Consider the following reaction : $(C H_{3})_{3} C C H (O H) C H_{3} co n c . H_{2} S O_{4} (C H_{3})_{2} C H C H (B r) C H_{3} a l c . K O H (C H_{3})_{2} C H C H (B r) C H_{3} (C H_{3})_{3} O^{Θ} K^{\oplus} (C H_{3})_{2} O H ∣ C - C H_{2} - C H O Δ$ …
Chemistry · Hydrocarbons · MCQ
Q10.The dipole of $C C l_{4}$ , $C H C l_{3}$ and $C H_{4}$ are in the order :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q11.Amongst the following statements, that which was not proposed by Dalton was :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q12.Match the following : (i) Riboflavin (a) Beriberi (ii) Thiamine (b) Scurvy (iii) Pyridoxine (c) Cheliosis (iv) Ascorbic acid (d) Convulsions
Chemistry · Biomolecules · MCQ
Q13.The relative strength of interionic/intermolecular forces in decreasing order is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q14.The IUPAC name of complex $[P t (N H_{3})_{2} C l (N H_{2} C H_{3})] C l$ is:
Chemistry · Coordination Compounds · MCQ
Q15.The electron gain enthalpy (in KJ/mol) of fluorine, chlorine, bromine and iodine, respectively are:
Chemistry · Periodic Table and Periodicity · MCQ
Q16.1- methyl ethylene oxide when treated with an excess of HBr produces :
Chemistry · Haloalkanes and Haloarenes · MCQ
Q17.A solution of m-chloronailimne, m-chlorophenol and m-chlorobenzoic acid in ethyal acetate was extracted initially with a saturated solution of $N a H C O_{3}$ to give fraction A. The left over organic phase was extracted with dilute NaoH…
Chemistry · Salt Analysis · MCQ
Q18.At 35oC, the vapour pressure of $C S_{2}$ is 512 mm. Hg and that of acetone is 344 mm Hg. A solution of $C S_{2}$ in acetone has a total vapour pressure of 600 mm Hg. The false statement amongst the following is :
Chemistry · Solutions · MCQ
Q19.The increasing order to Pkb for the following compounds will be : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q20.Oxidation number of potassium in $K_{2} O$ . $K_{2} O_{2}$ and $K O_{2}$ respectively is :
Chemistry · Redox Reactions · MCQ
Q21.The theory that can completely/properly explain the nature of bonding in $[N i (C o)_{4}]$ is :
Chemistry · Coordination Compounds · MCQ
Q22.The atomic radius of Ag is closed to :
Chemistry · D and F Block Elements · MCQ
Q23.Total number of 6-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9 appear, is :
Mathematics · Permutations and Combinations · MCQ
Q24.Let $α$ and $β$ be two real roots of the equation (k + 1)tan2x - $2$ . $λ$ tanx = (1 - k), where k( $e$ - 1) and $λ$ are real numbers. if tan2 ( $α$ + $β$ ) = 50, then a value of $λ$ is:
Mathematics · Quadratic Equation and Inequalities · MCQ
Q25.If $Re o l imi t s (\frac{z - 1}{2 z + i}) = 1$ , where z = x + iy, then the point (x, y) lies on a :
Mathematics · Complex Numbers · MCQ
Q26.A vector $a = α i + 2 j + β k (α, β \in R)$ lies in the plane of the vectors, $b = i + j$ and $c = i - j + 4 k$ …
Mathematics · Vector Algebra · MCQ
Q27.Let $α$ be a root of the equation x2 + x + 1 = 0 and the matrix A = $\frac{1}{3} 111 1 α α^{2} 1 α^{2} α^{4}$ …
Mathematics · Matrices and Determinants · MCQ
Q28.Let xk + yk = ak, (a, k > 0 ) and $\frac{d y}{d x} + (\frac{y}{x})^{\frac{1}{3}} = 0$ , then k is:
Mathematics · Differentiation · MCQ
Q29.If the system of linear equations 2x + 2ay + az = 0 2x + 3by + bz = 0 2x + 4cy + cz = 0, where a, b, c $\in$ R are non-zero distinct; has a non-zero solution, then:
Mathematics · Matrices and Determinants · MCQ
Q30. $x \to 2 lim \frac{3 ^{x} + 3 ^{3 - x} - 12}{3 ^{- x /2} - 3 ^{1 - x}}$ is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical
Q31.If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16, then m + n is equal to .
Mathematics · Statistics · Numerical
Q32.Let A(1, 0), B(6, 2) and C $(\frac{3}{2}, 6)$ be the vertices of a triangle ABC. If P is a Point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas, then the length of the line segment PQ,…
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q33.Let S be the set of points where the function, ƒ(x) = |2-|x-3||, x $\in$ R is not differentiable. Then $x \in S \sum f (f (x))$ is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical
Q34.Five numbers are in A.P. whose sum is 25 and product is 2520. If one of these five numbers is - $\frac{1}{2}$ , then the greatest number amongst them is:
Mathematics · Sequences and Series · MCQ
Q35.If y = y(x) is the solution of the differential equation, $e^{y} (\frac{d y}{d x} - 1) = e^{x}$ such that y(0) = 0, then y(1) is equal to:
Mathematics · Differential Equations · MCQ
Q36.If $y (α) = 2 (\frac{t a n α + c o t α}{1 + t a n ^{2} α}) + \frac{1}{s i n ^{2} α}, α \in (\frac{3 π}{4}, π) \frac{d y}{d α} a t α = \frac{5 π}{6} i s$ …
Mathematics · Differentiation · MCQ
Q37.If g(x) = x2 + x - 1 and (goƒ) (x) = 4x2 - 10x + 5, then ƒ $(\frac{5}{4})$ is equal to:
Mathematics · Functions · MCQ
Q38.If ƒ(a + b + 1 - x) = ƒ(x), for all x, where a and b are fixed positive real numbers, then $\frac{1}{a + b} \int_{a}^{b} x (f (x) + f (x + 1)) d x$ is equal to:
Mathematics · Definite Integration · MCQ
Q39.The greatest positive integer k, for which 49k + 1 is a factor of the sum 49125 + 49124 + ..... + 492 + 49 + 1, is:
Mathematics · Binomial Theorem · MCQ
Q40.An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value of k when k consecutive heads are obtained for k = 3, 4, 5, otherwise X takes the value -1. Then the expected value of X, is :
Mathematics · Probability · MCQ
Q41.If the distance between the foci of an ellipse is 6 and the distance between its directrices is 12, then the length of its latus rectum is :
Mathematics · Ellipse · MCQ
Q42.The area of the region, enclosed by the circle x2 + y2 = 2 which is not common to the region bounded by the parabola y2 = x and the straight line y = x, is:
Mathematics · Area Under the Curves · MCQ
Q43.The time period of revolution of electron in its ground state orbit in a hydrogen atom is 1.6 $\times$ 10-16 s. The frequency of revolution of the electron in its first excited state (in s-1) is :
Physics · Atoms and Nuclei · MCQ
Q44.A beam of electromagnetic radiation of intensity 6.4 × 10–5 W/cm2 is comprised of wavelength, $λ$ = 310 nm. It falls normally on a metal (work function $ϕ$ = 2eV) of surface area of 1 cm2. If one in 103 photons ejects an elctron,…
Physics · Dual Nature of Radiation · Numerical
Q45.A litre of dry air at STP expands adiabatically to a volume of 3 litres. If $γ$ = 1.40, the work done by air is : (31.4 = 4.6555) [Take air to be an ideal gas]
Physics · Heat and Thermodynamics · MCQ
Q46.A particle (m = 1 kg) slides down a frictionless track (AOC) starting from rest at a point A (height 2 m). After reaching C, the particle continues to move freely in air as a projectile. When it reaching its highest point P (height 1 m),… Includes diagram
Physics · Work Power and Energy · Numerical
Q47.A parallel plate capacitor has plates of area A separated by distance 'd' between them. It is filled with a dielectric which has a dielectric constant that varies as k(x) = K(1 + $α$ x) where 'x' is the distance measured from one of… Includes diagram
Physics · Capacitor · MCQ
Q48.If the magnetic field in a plane electromagnetic wave is given by $B$ = 3 $\times$ 10-8 sin(1.6 $\times$ 103x + 48 $\times$ 1010t) $j$ T, then what will be expression for electric field ?
Physics · Electromagnetic Waves · MCQ
Q49.The current I1 (in A) flowing through 1 $Ω$ resistor in the following circuit is : Includes diagram
Physics · Current Electricity · MCQ
Q50.Which of the following gives a reversible operation?
Physics · Electronic Devices · MCQ
Q51.As shown in the figure, a bob of mass m is tied by a massless string whose other end portion is wound on a fly wheel (disc) of radius r and mass m. When released from rest the bob starts falling vertically. When it has covered a distance… Includes diagram
Physics · Rotational Motion · MCQ
Q52.If we need a magnification of 375 from a compound microscope of tube length 150 mm and an objective of focal length 5 mm, the focal length of the eye-piece, should be close to :
Physics · Geometrical Optics · MCQ
Q53.A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having damping constant 'b', the correct equivalence would be:
Physics · Alternating Current · MCQ
Q54.A satellite of mass m is launched vertically upwards with an initial speed u from the surface of the earth. After it reaches height R (R = radius of the earth), it ejects a rocket of mass $\frac{m}{10}$ so that subsequently the satellite…
Physics · Gravitation · MCQ
Q55.Speed of a transverse wave on a straight wire (mass 6.0 g, length 60 cm and area of cross-section 1.0 mm2) is 90 ms-1. If the Young's modulus of wire is 16 $\times$ 1011 Nm-2, the extension of wire over its natural length is :
Physics · Waves · MCQ
Q56.Two infinite planes each with uniform surface charge density to are kept in such a way that the angle between them is 30o. The electric field in the region shown between them is given by : Includes diagram
Physics · Electrostatics · MCQ
Q57.Two moles of an ideal gas with $\frac{C _{P}}{C _{V}} = \frac{5}{3}$ are mixed with 3 moles of another ideal gas with $\frac{C _{P}}{C _{V}} = \frac{4}{3}$ . The value of $\frac{C _{P}}{C _{V}}$ for the mixture is :
Physics · Heat and Thermodynamics · MCQ
Q58.A long solenoid of radius R carries a time (t) - dependent current I(t)=I0t(1 - t). A ring of radius 2R is placed coaxially near its middle. During the time interval 0 $\leq$ t $\leq$ 1, the induced current (IR) and the induced EMF(VR) in…
Physics · Electromagnetic Induction · MCQ
Q59.The radius of gyration of a uniform rod of length $l$ , about an axis passing through a point $\frac{l}{4}$ away from the centre of the rod, and perpendicular to it, is :
Physics · Rotational Motion · MCQ
Q60.A polarizer - analyser set is adjusted such that the intensity of light coming out of the analyser is just 10% of the original intensity. Assuming that the polarizer - analyser set does not absorb any light, the angle by which the analyser…
Physics · Wave Optics · MCQ
Q61.Consider a circular coil of wire carrying constant current I, forming a magnetic dipole. The magnetic flux through an infinite plane that contains the circular coil and excluding the circular coil area is given by $ϕ$ i. The magnetic…
Physics · Electromagnetic Induction · MCQ
Q62.A 60 HP electric motor lifts an elevator having a maximum total load capacity of 2000 kg. If the frictional force on the elevator is 4000 N, the speed of the elevator at full load is close to : (1 HP = 746 W, g = 10 ms-2)
Physics · Work Power and Energy · MCQ
Q63.A loop ABCDEFA of straight edges has six corner points A(0, 0, 0), B(5, 0, 0), C(5, 5, 0), D (0, 5, 0), E(0, 5, 5) and F(0, 0, 5). The magnetic field in this region is $B = (3 i + 4 k) T$ .…
Physics · Electromagnetic Induction · Numerical
Q64.Visible light of wavelength 6000 $\times$ 10-8 cm falls normally on a single slit and produces a diffraction pattern. It is found that the second diffraction minimum is at 60o from the central maximum. If the first minimum is produced at $θ$ …
Physics · Wave Optics · MCQ
Q65.A non-isotropic solid metal cube has coefficients of linear expansion as : 5 $\times$ 10-5/oC along the x-axis and 5 $\times$ 10-6/oC along the y and the z-axis. If the coefficient of volume expansion of the solid is C $\times$ 10-6/oC…
Physics · Heat and Thermodynamics · Numerical
Q66.Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right angle triangle of sides 4.0 cm, 3.0 cm and 5.0 cm as shown in the figure. The center of mass of the system is at a point: Includes diagram
Physics · Center of Mass · MCQ