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2020 · 9 Jan · Shift 1

67 questions · JEE Main

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2020 · 9 Jan · Shift 1

2020 · 9 Jan · Shift 1

67 questions · JEE Main

Chemistry22 questions Mathematics20 questions Physics25 questions

Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Ionic EquilibriumChemistry · 1 questions HydrocarbonsChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Periodic Table and PeriodicityChemistry · 3 questions SolutionsChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions ElectrochemistryChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Structure of AtomChemistry · 1 questions Redox ReactionsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Indefinite IntegralsMathematics · 2 questions Definite IntegrationMathematics · 2 questions ProbabilityMathematics · 1 questions Complex NumbersMathematics · 1 questions Application of DerivativesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions 3D GeometryMathematics · 1 questions Differential EquationsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions LogarithmMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions HyperbolaMathematics · 1 questions StatisticsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Electromagnetic InductionPhysics · 1 questions Electronic DevicesPhysics · 1 questions Rotational MotionPhysics · 3 questions Motion in A Straight LinePhysics · 1 questions Properties of MatterPhysics · 1 questions ElectrostaticsPhysics · 2 questions WavesPhysics · 1 questions MagneticsPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions Current ElectricityPhysics · 1 questions Center of MassPhysics · 1 questions Units and MeasurementsPhysics · 2 questions Dual Nature of RadiationPhysics · 2 questions Work Power and EnergyPhysics · 1 questions GravitationPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Geometrical OpticsPhysics · 2 questions

Q1.Identify (A) in the following reaction sequence : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q2.If enthalpy of atomisation for $B r_{2}$ (1) is x kJ/mol and bond enthalpy for $B r_{2}$ is y kJ/mol, the relation between them :
Chemistry · Thermodynamics · MCQ
Q3.If the magnetic moment of a dioxygen species is 1.73 B.M, it may be :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q4. $[P d (F) (C l) (B r) (I)]^{2-}$ has n number of geometrical isomers. Then, the spin-only magnetic moment and crystal field stabilisation energy [CFSE] of $[F e (C N)_{6}]^{n -6}$ , respectively, are: [Note : Ignore the pairing energy]
Chemistry · Coordination Compounds · MCQ
Q5.The Ksp for the following dissociation is 1.6 × 10–5 $P b C l_{2 (s)} ⇋ P b_{(a q)}^{2 +} + 2 C l_{(a q)}^{-}$ Which of the following choices is correct for a mixture of 300 mL 0.134 M $P b (N O_{3})_{2}$ and 100 mL 0.4 M $N a C l$ ?
Chemistry · Ionic Equilibrium · MCQ
Q6.The correct order of heat of combustion for following alkadienes is : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q7.For the following reactions $A 700 K Product o l imi t s A c a t a l y s t ⟶ 500 K Product o l imi t s$ it was found that Ea is decreased by 30 kJ/mol in the…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q8.The increasing order of basicity for the following intermediates is (from weak to strong) Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q9.The electronic configurations of bivalent europium and trivalent cerium are (atomic number : Xe = 54, Ce = 58, Eu = 63)
Chemistry · Periodic Table and Periodicity · MCQ
Q10.How much amount of NaCl should be added to 600 g of water ( $ρ$ = 1.00 g/mL) to decrease the freezing point of water to – 0.2 °C ? . (The freezing point depression constant for water = 2K kg mol–1)
Chemistry · Solutions · Numerical
Q11.The mass percentage of nitrogen in histamine is .
Chemistry · Compounds Containing Nitrogen · Numerical
Q12.108 g of silver (molar mass 108 g mol–1) is deposited at cathode from $A g N O_{3}$ (aq) solution by a certain quantity of electricity. The volume (in L) of oxygen gas produced at 273 K and 1 bar pressure from water by the same quantity of…
Chemistry · Electrochemistry · Numerical
Q13.The molarity of $H N O_{3}$ in a sample which has density 1.4 g/mL and mass percentage of 63% is . (Molecular Weight of $H N O_{3}$ = 63)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q14.The hardness of a water sample containing 10–3 M $M g S O_{4}$ expressed as $C a C O_{3}$ equivalents (in ppm) is . (molar mass of $M g S O_{4}$ is 120.37 g/mol)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q15.The de Broglie wavelength of an electron in the 4th Bohr orbit is :
Chemistry · Structure of Atom · MCQ
Q16.The major product (Y) in the following reactions is : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q17.Complex X of composition $C r (H_{2} O)_{6} C l n$ has a spin only magnetic moment of 3.83 BM. It reacts with $A g N O_{3}$ and shows geometrical isomerism. The IUPAC nomenclature of X is :
Chemistry · Coordination Compounds · MCQ
Q18.The compound that cannot act both as oxidising and reducing agent is :
Chemistry · Redox Reactions · MCQ
Q19.Which of these will produce the highest yield in Friedel Crafts reaction?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q20.The major product Z obtained in the following reaction scheme is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q21.The acidic, basic and amphoteric oxides, respectively, are :
Chemistry · Periodic Table and Periodicity · MCQ
Q22.B has a smaller first ionization enthalpy than Be. Consider the following statements : (I) It is easier to remove 2p electron than 2s electron (II) 2p electron of B is more shielded from the nucleus by the inner core of electrons than the…
Chemistry · Periodic Table and Periodicity · MCQ
Q23.If ƒ'(x) = tan–1(secx + tanx), $- \frac{π}{2} < x < \frac{π}{2}$ , and ƒ(0) = 0, then ƒ(1) is equal to :
Mathematics · Indefinite Integrals · MCQ
Q24.The value of $0 \int 2 π \frac{x s i n ^{8} x}{s i n ^{8} x + c o s ^{8} x} d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q25.In a box, there are 20 cards, out of which 10 are lebelled as A and the remaining 10 are labelled as B. Cards are drawn at random, one after the other and with replacement, till a second A-card is obtained. The probability that the second…
Mathematics · Probability · MCQ
Q26.Let z be complex number such that $\frac{z - i}{z + 2 i} = 1$ and |z| = $\frac{5}{2}$ . Then the value of |z + 3i| is :
Mathematics · Complex Numbers · MCQ
Q27.A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness the melts at a rate of 50 cm3/min. When the thickness of ice is 5 cm, then the rate (in cm/min.) at which of the thickness of ice decreases, is :
Mathematics · Application of Derivatives · MCQ
Q28.If the number of five digit numbers with distinct digits and 2 at the 10th place is 336 k, then k is equal to :
Mathematics · Permutations and Combinations · MCQ
Q29.Let ƒ be any function continuous on [a, b] and twice differentiable on (a, b). If for all x $\in$ (a, b), ƒ'(x) > 0 and ƒ''(x) < 0, then for any c $\in$ (a, b), $\frac{f ( c ) - f ( a )}{f ( b ) - f ( c )}$ is greater than :
Mathematics · Limits Continuity and Differentiability · MCQ
Q30.The projection of the line segment joining the points (1, –1, 3) and (2, –4, 11) on the line joining the points (–1, 2, 3) and (3, –2, 10) is .
Mathematics · 3D Geometry · Numerical
Q31.If for x $\geq$ 0, y = y(x) is the solution of the differential equation (x + 1)dy = ((x + 1)2 + y – 3)dx, y(2) = 0, then y(3) is equal to .
Mathematics · Differential Equations · Numerical
Q32.The coefficient of x4 is the expansion of (1 + x + x2)10 is .
Mathematics · Binomial Theorem · Numerical
Q33.If for some $α$ and $β$ in R, the intersection of the following three places x + 4y – 2z = 1 x + 7y – 5z = b x + 5y + $α$ z = 5 is a line in R3, then $α$ + $β$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q34.The number of distinct solutions of the equation $lo g_{\frac{1}{2}} ∣ sin x ∣ = 2 - lo g_{\frac{1}{2}} ∣ cos x ∣$ in the interval [0, 2 $π$ ], is .
Mathematics · Logarithm · Numerical
Q35.The integral $\int \frac{d x}{( x + 4 ) ^{\frac{8}{7}} ( x - 3 ) ^{\frac{6}{7}}}$ is equal to : (where C is a constant of integration)
Mathematics · Indefinite Integrals · MCQ
Q36.If $f (x) = ⎩ ⎨ ⎧ \frac{s i n ( a + 2 ) x + s i n x}{x}; b; \frac{( x + 3 x ^{2} ) ^{\frac{1}{3}} - x ^{\frac{1}{3}}}{x ^{\frac{4}{3}}}; x < 0 x = 0 x > 0$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q37.Let C be the centroid of the triangle with vertices (3, –1), (1, 3) and (2, 4). Let P be the point of intersection of the lines x + 3y – 1 = 0 and 3x – y + 1 = 0. Then the line passing through the points C and P also passes through the…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q38.The value of $cos^{3} (\frac{π}{8}) cos (\frac{3 π}{8})$ + $sin^{3} (\frac{π}{8}) sin (\frac{3 π}{8})$ is :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q39.If for all real triplets (a, b, c), ƒ(x) = a + bx + cx2; then $0 \int 1 f (x) d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q40.If e1 and e2 are the eccentricities of the ellipse, $\frac{x ^{2}}{18} + \frac{y ^{2}}{4} = 1$ and the hyperbola, $\frac{x ^{2}}{9} - \frac{y ^{2}}{4} = 1$ respectively and (e1, e2) is a point on the ellipse, 15x2 + 3y2 = k, then k…
Mathematics · Hyperbola · MCQ
Q41.Let the observations xi (1 $\leq$ i $\leq$ 10) satisfy the equations, $i = 1 \sum 10 (x_{1} - 5)$ = 10 and $i = 1 \sum 10 (x_{1} - 5)^{2}$ = 40. If $μ$ and $λ$ are the mean…
Mathematics · Statistics · MCQ
Q42.The number of real roots of the equation, e4x + e3x – 4e2x + ex + 1 = 0 is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q43.In a fluorescent lamp choke (a small transformer) 100 V of reverse voltage is produced when the choke current changes uniformly from 0.25 A to 0 in a duration of 0.025 ms. The self-inductance of the choke (in mH) is estimated to be …
Physics · Electromagnetic Induction · Numerical
Q44.Both the diodes used in the circuit shown are assumed to be ideal and have negligible resistance when these are forward biased. Built in potential in each diode is 0.7 V. For the input voltages shown in the figure, the voltage (in Volts)… Includes diagram
Physics · Electronic Devices · Numerical
Q45.A body of mass m = 10 kg is attached to one end of a wire of length 0.3 m. The maximum angular speed (in rad s–1) with which it can be rotated about its other end in space station is : (Breaking stress of wire = 4.8 × 107 Nm–2 and area of…
Physics · Rotational Motion · Numerical
Q46.The distance x covered by a particle in one dimensional motion varies with time t as x2 = at2 + 2bt + c. If the acceleration of the particle depends on x as x–n, where n is an integer, the value of n is
Physics · Motion in A Straight Line · Numerical
Q47.One end of a straight uniform 1m long bar is pivoted on horizontal table. It is released from rest when it makes an angle 30º from the horizontal (see figure). Its angular speed when it hits the table is given as $n$ s-1, where n is… Includes diagram
Physics · Rotational Motion · Numerical
Q48.Water flows in a horizontal tube (see figure). The pressure of water changes by 700 Nm–2 between A and B where the area of cross section are 40 cm2 and 20 cm2, respectively. Find the rate of flow of water through the tube. (density of… Includes diagram
Physics · Properties of Matter · MCQ
Q49.Three solid spheres each of mass m and diameter d are stuck together such that the lines connecting the centres form an equilateral triangle of side of length d. The ratio I0/IA of moment of inertia I0 of the system about an axis passing… Includes diagram
Physics · Rotational Motion · MCQ
Q50.An electric dipole of moment $p = (- i - 3 j + 2 k) \times 1 0^{- 29}$ C.m is at the origin (0, 0, 0). The electric field due to this dipole at $r = + i + 3 j + 5 k$ …
Physics · Electrostatics · MCQ
Q51.Three harmonic waves having equal frequency $u$ and same intensity $I_{0}$ , have phase angles 0, $\frac{π}{4}$ and $- \frac{π}{4}$ respectively. When they are superimposed the intensity of the resultant wave is close to :
Physics · Waves · MCQ
Q52.A charged particle of mass 'm' and charge 'q' moving under the influence of uniform electric field $E i$ and a uniform magnetic field $B k$ follows a trajectory from point P to Q as shown in figure. The… Includes diagram
Physics · Magnetics · MCQ
Q53.Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure ? where, 1 $\to$ 2 is adiabatic. (Graphs are schematic and are not to scale) Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q54.In the given circuit diagram, a wire is joining points B and D. The current in this wire is : Includes diagram
Physics · Current Electricity · MCQ
Q55.Two particles of equal mass m have respective initial velocities $u i$ and $u (\frac{i + j}{2})$ . They collide completely inelastically. The energy lost in the process is :
Physics · Center of Mass · MCQ
Q56.If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main scale. If there are 50 divisions on the circular scale the least count of the screw gauge is :
Physics · Units and Measurements · MCQ
Q57.Consider two ideal diatomic gases A and B at some temperature T. Molecules of the gas A are rigid, and have a mass m. Molecules of the gas B have an additional vibrational mode, and have a mass $\frac{m}{4}$ . The ratio of the specific…
Physics · Heat and Thermodynamics · MCQ
Q58.A particle moving with kinetic energy E has de Broglie wavelength $λ$ . If energy $Δ$ E is added to its energy, the wavelength become $λ$ /2. Value of $Δ$ E, is :
Physics · Dual Nature of Radiation · MCQ
Q59.Consider a force $F = - x i + y j$ . The work done by this force in moving a particle from point A(1, 0) to B(0, 1) along the line segment is : (all quantities are in SI units) Includes diagram
Physics · Work Power and Energy · MCQ
Q60.A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass $\frac{m}{2}$ collides with A with a velocity which is half $(\frac{v}{2})$ the instantaneous velocity $v$ …
Physics · Gravitation · MCQ
Q61.Consider a sphere of radius R which carries a uniform charge density $ρ$ . If a sphere of radius $\frac{R}{2}$ is carved out of it, as shown, the ratio $\frac{E _{A}}{E _{B}}$ … Includes diagram
Physics · Electrostatics · MCQ
Q62.The electric fields of two plane electromagnetic plane waves in vacuum are given by $E_{1} = E_{0} j cos (ω t - k x)$ and $E_{2} = E_{0} k cos (ω t - k y)$ …
Physics · Electromagnetic Waves · MCQ
Q63.A long, straight wire of radius a carries a current distributed uniformly over its cross-section. The ratio of the magnetic fields due to the wire at distance $\frac{a}{3}$ and 2 $a$ , respectively from the axis of the wire is :
Physics · Magnetics · MCQ
Q64.Radiation, with wavelength 6561 $A o$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of 3 × 10–4 T. If the radius of the largest circular path followed by the…
Physics · Dual Nature of Radiation · MCQ
Q65.The aperture diameter of a telescope is 5m. The separation between the moon and the earth is 4 × 105 km. With light of wavelength of 5500 $A o$ , the minimum separation between objects on the surface of moon, so that they are…
Physics · Geometrical Optics · MCQ
Q66.A vessel of depth 2h is half filled with a liquid of refractive index $22$ and the upper half with another liquid of refractive index $2$ . The liquids are immiscible. The apparent depth of the inner surface of the bottom of…
Physics · Geometrical Optics · MCQ
Q67.A quantity f is given by $f = \frac{h c ^{5}}{G}$ where c is speed of light, G universal gravitational constant and h is the Planck's constant. Dimension of f is that of :
Physics · Units and Measurements · MCQ