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2020 · 3 Sep · Shift 1

65 questions · JEE Main

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2020 · 3 Sep · Shift 1

2020 · 3 Sep · Shift 1

65 questions · JEE Main

Chemistry18 questions Mathematics23 questions Physics24 questions

Ionic EquilibriumChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Coordination CompoundsChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions ElectrochemistryChemistry · 2 questions HydrocarbonsChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions SolutionsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions StatisticsMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Differential EquationsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Binomial TheoremMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Permutations and CombinationsMathematics · 1 questions Application of DerivativesMathematics · 1 questions DifferentiationMathematics · 1 questions Definite IntegrationMathematics · 1 questions Sets and RelationsMathematics · 1 questions ParabolaMathematics · 1 questions Area Under the CurvesMathematics · 1 questions HyperbolaMathematics · 1 questions Sequences and SeriesMathematics · 2 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 1 questions Complex NumbersMathematics · 1 questions CircleMathematics · 1 questions ElectrostaticsPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Properties of MatterPhysics · 2 questions Rotational MotionPhysics · 2 questions Work Power and EnergyPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions MagneticsPhysics · 2 questions Wave OpticsPhysics · 1 questions Center of MassPhysics · 1 questions WavesPhysics · 1 questions Electronic DevicesPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions CapacitorPhysics · 1 questions GravitationPhysics · 1 questions Alternating CurrentPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Current ElectricityPhysics · 1 questions Units and MeasurementsPhysics · 1 questions

Q1.An acidic buffer is obtained on mixing :
Chemistry · Ionic Equilibrium · MCQ
Q2.The Kjeldahl method of Nitrogen estimation fails for which of the following reaction products? Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q3.Which one of the following compounds possesses the most acidic hydrogen?
Chemistry · Basics of Organic Chemistry · MCQ
Q4.The complex that can show optical activity is :
Chemistry · Coordination Compounds · MCQ
Q5.It is true that :
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q6.The atomic number of the element unnilennium is :
Chemistry · Periodic Table and Periodicity · MCQ
Q7.The photoelectric current from $N a$ (Work function, w0 = 2.3 eV) is stopped by the output voltage of the cell Pt(s) | $H_{2}$ (g, 1 Bar) | $H C l$ (aq., pH =1) | AgCl(s) | Ag(s). The pH of aq. $H C l$ required to stop the photoelectric current…
Chemistry · Electrochemistry · Numerical
Q8.The total number of monohalogenated organic products in the following (including stereoisomers) reaction is . Includes diagram
Chemistry · Hydrocarbons · Numerical
Q9.The volume strength of 8.9 M $H_{2} O_{2}$ solution calculated at 273 K and 1 atm is . (R = 0.0821 L atm K-1 mol-1) (rounded off ot the nearest integer)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q10.The mole fraction of glucose ( $C_{6} H_{12} O_{6}$ ) in an aqueous binary solution is 0.1. The mass percentage of water in it, to the nearest integer, is .
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q11.Let C $N a C l$ and C $B a S O_{4}$ be the conductances (in S) measured for saturated aqueous solutions of $N a C l$ and $B a S O_{4}$ , respectively, at a temperature T. Which of the following is false?
Chemistry · Electrochemistry · MCQ
Q12.The mechanism of $S N_{1}$ reaction is given as : A student writes general characteristics based on the given mechanism as : (a) The reaction is favoured by weak nucleophiles. (b) $R^{+}$ would be easily formed if the substituents are bulky.… Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q13.Henry’s constant (in kbar) for four gases $α$ , $β$ , $γ$ and $δ$ in water at 298 K is given below : (density of water = 103 kg m-3 at 298 K) This table implies that : Includes table
Chemistry · Solutions · Multiple correct
Q14.The electronic spectrum of $[T i (H_{2} O)_{6}]^{3 +}$ shows a single broad peak with a maximum at 20,300 cm-1 . The crystal field stabilization energy (CFSE) of the complex ion, in kJ mol-1, is :
Chemistry · Coordination Compounds · MCQ
Q15.An organic compound [A], molecular formula $C_{10} H_{20} O_{2}$ was hydrolyzed with dilute sulphuric acid to give a carboxylic acid [B] and an alcohol [C]. Oxidation of [C] with $C r O_{3}$ - $H_{2} S O_{4}$ produced [B]. Which of the following…
Chemistry · Aldehydes Ketones and Carboxylic Acids · Multiple correct
Q16.Glycerol is separated in soap industries by :
Chemistry · Basics of Organic Chemistry · MCQ
Q17.Of the species, $N O$ , $N O^{+}$ , $N O_{2}^{+}$ and $N O^{-}$ , the one with minimum bond strength is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q18.Which of the following compounds produces an optically inactive compound on hydrogenation?
Chemistry · Hydrocarbons · MCQ
Q19.For the frequency distribution : Variate (x) : x1 x2 x3 .... x15 Frequency (f) : f1 f2 f3 ...... f15 where 0 < x1 < x2 < x3 < ... < x15 = 10 and $i = 1 \sum 15 f_{i}$ > 0, the standard deviation cannot be :
Mathematics · Statistics · MCQ
Q20.2 $π$ - $(sin^{- 1} \frac{4}{5} + sin^{- 1} \frac{5}{13} + sin^{- 1} \frac{16}{65})$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q21.Let [t] denote the greatest integer $\leq$ t. If for some $λ \in$ R - {1, 0}, $x \to 0 lim \frac{1 - x + ∣ x ∣}{λ - x + [ x ]}$ = L, then L is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q22.The solution curve of the differential equation, (1 + e-x)(1 + y2) $\frac{d y}{d x}$ = y2, which passes through the point (0, 1), is :
Mathematics · Differential Equations · MCQ
Q23.If $α$ and $β$ are the roots of the equation x2 + px + 2 = 0 and $\frac{1}{α}$ and $\frac{1}{β}$ are the roots of the equation 2x2 + 2qx + 1 = 0, then $(α - \frac{1}{α}) (β - \frac{1}{β}) (α + \frac{1}{β}) (β + \frac{1}{α})$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q24.If the number of integral terms in the expansion of (31/2 + 51/8)n is exactly 33, then the least value of n is :
Mathematics · Binomial Theorem · MCQ
Q25.If $Δ$ = $x - 2 2 x - 3 3 x - 5 2 x - 3 3 x - 4 5 x - 8 3 x - 4 4 x - 5 10 x - 17$ = Ax3 + Bx2 + Cx + D, then B + C is equal to :
Mathematics · Matrices and Determinants · MCQ
Q26.The value of (2.1P0 – 3.2P1 + 4.3P2 .... up to 51th term) + (1! – 2! + 3! – ..... up to 51th term) is equal to :
Mathematics · Permutations and Combinations · MCQ
Q27.The function, f(x) = (3x – 7)x2/3, x $\in$ R, is increasing for all x lying in :
Mathematics · Application of Derivatives · MCQ
Q28.If y2 + loge (cos2x) = y, $x \in (- \frac{π}{2}, \frac{π}{2})$ , then :
Mathematics · Differentiation · MCQ
Q29. $- π \int π ∣ π - ∣ x ∣ ∣ d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q30.Consider the two sets : A = {m $\in$ R : both the roots of x2 – (m + 1)x + m + 4 = 0 are real} and B = [–3, 5). Which of the following is not true?
Mathematics · Sets and Relations · MCQ
Q31.Let P be a point on the parabola, y2 = 12x and N be the foot of the perpendicular drawn from P on the axis of the parabola. A line is now drawn through the mid-point M of PN, parallel to its axis which meets the parabola at Q. If the…
Mathematics · Parabola · MCQ
Q32.The area (in sq. units) of the region { (x, y) : 0 $\leq$ y $\leq$ x2 + 1, 0 $\leq$ y $\leq$ x + 1, $\frac{1}{2} \leq$ x $\leq$ 2 } is :
Mathematics · Area Under the Curves · MCQ
Q33.A hyperbola having the transverse axis of length $2$ has the same foci as that of the ellipse 3x2 + 4y2 = 12, then this hyperbola does not pass through which of the following points?
Mathematics · Hyperbola · MCQ
Q34.If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum of its next 15 terms, then the common difference of this A.P. is :
Mathematics · Sequences and Series · MCQ
Q35.The lines $r = (i - j) + l (2 i + k)$ and $r = (2 i - j) + m (i + j + k)$ …
Mathematics · Vector Algebra · MCQ
Q36.A dice is thrown two times and the sum of the scores appearing on the die is observed to be a multiple of 4. Then the conditional probability that the score 4 has appeared atleast once is :
Mathematics · Probability · MCQ
Q37.If $(\frac{1 + i}{1 - i})^{\frac{m}{2}} = (\frac{1 + i}{1 - i})^{\frac{n}{3}} = 1$ , (m, n $\in$ N) then the greatest common divisor of the least values of m and n is .
Mathematics · Complex Numbers · Numerical
Q38.The diameter of the circle, whose centre lies on the line x + y = 2 in the first quadrant and which touches both the lines x = 3 and y = 2, is .
Mathematics · Circle · Numerical
Q39.If $x \to 0 lim {\frac{1}{x ^{8}} (1 - cos \frac{x ^{2}}{2} - cos \frac{x ^{2}}{4} + cos \frac{x ^{2}}{2} cos \frac{x ^{2}}{4})}$ = 2-k then the value of k is …
Mathematics · Limits Continuity and Differentiability · Numerical
Q40.The value of $(0.16)^{l o g_{2.5} (\frac{1}{3} + \frac{1}{3 ^{2}} + .... t o \infty)}$ is equal to .
Mathematics · Sequences and Series · Numerical
Q41.Let A = $[x 1 10]$ , x $\in$ R and A4 = [aij]. If a11 = 109, then a22 is equal to .
Mathematics · Matrices and Determinants · Numerical
Q42.Two isolated conducting spheres S1 and S2 of radius $\frac{2}{3} R$ and $\frac{1}{3} R$ have 12 $μ$ C and –3 $μ$ C charges, respectively, and are at a large distance from each other. They are now connected by a conducting wire. A long…
Physics · Electrostatics · MCQ
Q43.An observer can see through a small hole on the side of a jar (radius 15 cm) at a point at height of 15 cm from the bottom (see figure). The hole is at a height of 45 cm. When the jar is filled with a liquid up to a height of 30 cm the… Includes diagram
Physics · Geometrical Optics · Numerical
Q44.When a long glass capillary tube of radius 0.015 cm is dipped in a liquid, the liquid rises to a height of 15 cm within it. If the contact angle between the liquid and glass to close to 0o, the surface tension of the liquid, in milliNewton…
Physics · Properties of Matter · Numerical
Q45.A person of 80 kg mass is standing on the rim of a circular platform of mass 200 kg rotating about its axis at 5 revolutions per minute (rpm). The person now starts moving towards the centre of the platform. What will be the rotational…
Physics · Rotational Motion · Numerical
Q46.A cricket ball of mass 0.15 kg is thrown vertically up by a bowling machine so that it rises to a maximum height of 20 m after leaving the machine. If the part pushing the ball applies a constant force F on the ball and moves horizontally…
Physics · Work Power and Energy · Numerical
Q47.A bakelite beaker has volume capacity of 500 cc at 30oC. When it is partially filled with Vm volume (at 30oC) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If $γ$ (beaker) = 6…
Physics · Heat and Thermodynamics · Numerical
Q48.Consider a gas of triatomic molecules. The molecules are assumed to be triangular and made of massless rigid rods whose vertices are occupied by atoms. The internal energy of a mole of the gas at temperature T is : Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q49.Magnitude of magnetic field (in SI units) at the centre of a hexagonal shape coil of side 10 cm, 50 turns and carrying current I (Ampere) in units of $\frac{μ _{0} I}{π}$ is :
Physics · Magnetics · MCQ
Q50.In a Young’s double slit experiment, light of 500 nm is used to produce an interference pattern. When the distance between the slits is 0.05 mm, the angular width (in degree) of the fringes formed on the distance screen is close to
Physics · Wave Optics · MCQ
Q51.A block of mass m = 1 kg slides with velocity v = 6 m/s on a frictionless horizontal surface and collides with a uniform vertical rod and sticks to it as shown. The rod is pivoted about O and swings as a result of the collision making… Includes diagram
Physics · Center of Mass · MCQ
Q52.A uniform thin rope of length 12 m and mass 6 kg hangs vertically from a rigid support and a block of mass 2 kg is attached to its free end. A transverse short wavetrain of wavelength 6 cm is produced at the lower end of the rope. What is…
Physics · Waves · MCQ
Q53.When a diode is forward biased, it has a voltage drop of 0.5 V. The safe limit of current through the diode is 10 mA. If a battery of emf 1.5 V is used in the circuit, the value of minimum resistance to be connected in series with the…
Physics · Electronic Devices · MCQ
Q54.An elliptical loop having resistance R, of semi major axis a, and semi minor axis b is placed in magnetic field as shown in the figure. If the loop is rotated about the x-axis with angular frequency $ω$ , the average power loss in the… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q55.When the wavelength of radiation falling on a metal is changed from 500 nm to 200 nm, the maximum kinetic energy of the photoelectrons becomes three times larger. The work function of the metal is close to :
Physics · Dual Nature of Radiation · MCQ
Q56.In the circuit shown in the figure, the total charge is 750 $μ$ C and the voltage across capacitor C2 is 20 V. Then the charge on capacitor C2 is : Includes diagram
Physics · Capacitor · MCQ
Q57.A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to that of the earth’s radius Re . By firing rockets attached to it, its speed is instantaneously increased in the direction of its motion…
Physics · Gravitation · MCQ
Q58.A balloon filled with helium (32oC and 1.7 atm.) bursts. Immediately afterwards the expansion of helium can be considered as
Physics · Heat and Thermodynamics · MCQ
Q59.Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is :
Physics · Properties of Matter · MCQ
Q60.A 750 Hz, 20 V (rms) source is connected to a resistance of 100 $Ω$ , an inductance of 0.1803 H and a capacitance of 10 $μ$ F all in series. The time in which the resistance (heat capacity 2 J/oC) will get heated by 10oC. (assume no…
Physics · Alternating Current · MCQ
Q61.A charged particle carrying charge 1 $μ$ C is moving with velocity $(2 i + 3 j + 4 k)$ ms–1. If an external magnetic field of $(5 i + 3 j - 6 k)$ × 10–3 T…
Physics · Magnetics · MCQ
Q62.The magnetic field of a plane electromagnetic wave is $B = 3 \times 1 0^{- 8} sin [200 π (y + c t)] i$ T where c = 3 $\times$ 108 ms–1 is the speed of light. The corresponding…
Physics · Electromagnetic Waves · MCQ
Q63.Moment of inertia of a cylinder of mass M, length L and radius R about an axis passing through its centre and perpendicular to the axis of the cylinder is I = $M (\frac{R ^{2}}{4} + \frac{L ^{2}}{12})$ . If such a…
Physics · Rotational Motion · MCQ
Q64.Model a torch battery of length $l$ to be made up of a thin cylindrical bar of radius ‘a’ and a concentric thin cylindrical shell of radius ‘b’ filled in between with an electrolyte of resistivity $ρ$ (see figure). If the battery is… Includes diagram
Physics · Current Electricity · MCQ
Q65.Using screw gauge of pitch 0.1 cm and 50 divisions on its circular scale, the thickness of an object is measured. It should correctly be recorded as
Physics · Units and Measurements · MCQ