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2020 · 4 Sep · Shift 1

64 questions · JEE Main

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2020 · 4 Sep · Shift 1

2020 · 4 Sep · Shift 1

64 questions · JEE Main

Chemistry21 questions Mathematics18 questions Physics25 questions

Haloalkanes and HaloarenesChemistry · 1 questions ThermodynamicsChemistry · 1 questions D and F Block ElementsChemistry · 1 questions BiomoleculesChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 2 questions SolutionsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Structure of AtomChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Sets and RelationsMathematics · 1 questions ProbabilityMathematics · 1 questions Binomial TheoremMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions DifferentiationMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions StatisticsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions Complex NumbersMathematics · 1 questions Application of DerivativesMathematics · 1 questions Indefinite IntegralsMathematics · 2 questions Definite IntegrationMathematics · 1 questions EllipseMathematics · 1 questions Differential EquationsMathematics · 1 questions Motion in A Straight LinePhysics · 1 questions Center of MassPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Dual Nature of RadiationPhysics · 2 questions Units and MeasurementsPhysics · 1 questions GravitationPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions WavesPhysics · 1 questions Current ElectricityPhysics · 1 questions ElectrostaticsPhysics · 2 questions Properties of MatterPhysics · 1 questions MagneticsPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Electronic DevicesPhysics · 1 questions Wave OpticsPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions Rotational MotionPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Motion in A PlanePhysics · 1 questions

Q1.The decreasing order of reactivity of the following organic molecules towards $A g N O_{3}$ solution is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q2.For one mole of an ideal gas, which of these statements must be true? (a) U and H each depends only on temperature (b) Compressibility factor z is not equal to 1 (c) CP, m – CV, m = R (d) dU = CVdT for any process
Chemistry · Thermodynamics · MCQ
Q3.The elements with atomic numbers 101 and 104 belong to, respectively :
Chemistry · D and F Block Elements · MCQ
Q4.Which of the following will react with $C H C l_{3}$ + alc. $K O H$ ?
Chemistry · Biomolecules · MCQ
Q5.[P] on treatment with $B r_{2}$ / $F e B r_{3}$ in $C C l_{4}$ produced a single isomer $C_{8} H_{7} O_{2} B r$ while heating [P] with sodalime gave toluene. The compound [P] is
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q6.A 20.0 mL solution containing 0.2 g impure $H_{2} O_{2}$ reacts completely with 0.316 g of $K M n O_{4}$ in acid solution. The purity of $H_{2} O_{2}$ (in %) is (mol. wt. of $H_{2} O_{2}$ = 34; mol. wt. of $K M n O_{4}$ = 158)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q7.The mass of ammonia in grams produced when 2.8 kg of dinitrogen quantitatively reacts with 1 kg of dihydrogen is .
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q8.At 300 K, the vapour pressure of a solution containing 1 mole of n-hexane and 3 moles of n-heptane is 550 mm of Hg. At the same temperature, if one more mole of n-heptane is added to this solution, the vapour pressure of the solution…
Chemistry · Solutions · Numerical
Q9.If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximately (in minutes) . (Take : log 2 = 0.30; log 2.5 = 0.40)
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q10.The number of chiral centres present in [B] is . Includes diagram
Chemistry · Compounds Containing Nitrogen · Numerical
Q11. $E_{C u^{2 +} ∣ C u}^{0}$ = +0.34 V $E_{Z n^{2 +} ∣ Z n}^{0}$ = -0.76 V Identify the incorrect statement from the option below for the above cell : Includes diagram
Chemistry · Electrochemistry · MCQ
Q12.The intermolecular potential energy for the molecules A, B, C and D given below suggests that : Includes diagram
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q13.The pair in which both the species have the same magnetic moment (spin only) is :
Chemistry · Coordination Compounds · MCQ
Q14.An organic compound (A) (molecular formula $C_{6} H_{12} O_{2}$ ) was hydrolysed with dil. $H_{2} S O_{4}$ to give a carboxylic acid (B) and an alcohol (C). ‘C’ gives white turbidity immediately when treated with anhydrous $Z n C l_{2}$ and conc. $H C l$ . The…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q15.The number of isomers possible for $[P t (e n) (N O_{2})_{2}]$ is :
Chemistry · Coordination Compounds · MCQ
Q16.When neopentyl alcohol is heated with an acid, it slowly converted into an 85 : 15 mixture of alkenes A and B, respectively. What are these alkenes?
Chemistry · Alcohols Phenols and Ethers · MCQ
Q17.The ionic radii of $O^{2 -}$ , $F^{-}$ , $N a^{+}$ and $M g^{2 +}$ are in the order :
Chemistry · Periodic Table and Periodicity · MCQ
Q18.The region in the electromagnetic spectrum where the Balmar series lines appear is :
Chemistry · Structure of Atom · MCQ
Q19.For the equilibrium A ⇌ B , the variation of the rate of the forward (a) and reverse (b) reaction with time is given by :
Chemistry · Chemical Equilibrium · MCQ
Q20.The IUPAC name of the following compound is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q21.What are the functional groups present in the structure of maltose?
Chemistry · Biomolecules · MCQ
Q22.A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. If x% of the people read both the newspapers, then a possible value of x can be:
Mathematics · Sets and Relations · MCQ
Q23.The probability of a man hitting a target is $\frac{1}{10}$ . The least number of shots required, so that the probability of his hitting the target at least once is greater than $\frac{1}{4}$ , is .
Mathematics · Probability · Numerical
Q24.Let $(2 x^{2} + 3 x + 4)^{10} = r = 0 \sum 20 a_{r} x^{r}$ Then $\frac{a _{7}}{a _{13}}$ is equal to .
Mathematics · Binomial Theorem · Numerical
Q25.If the system of equations x - 2y + 3z = 9 2x + y + z = b x - 7y + az = 24, has infinitely many solutions, then a - b is equal to.........
Mathematics · Matrices and Determinants · Numerical
Q26.Suppose a differentiable function f(x) satisfies the identity f(x+y) = f(x) + f(y) + xy2 + x2y, for all real x and y. $x \to 0 lim \frac{f ( x )}{x} = 1$ , then f'(3) is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical
Q27.If $(a + 2 b cos x) (a - 2 b cos y) = a^{2} - b^{2}$ where a > b > 0, then $\frac{d x}{d y} a t (\frac{π}{4}, \frac{π}{4})$ is :
Mathematics · Differentiation · MCQ
Q28.Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground with points A and C on the ground. If P is the point of intersection of BC and AD, then the height of P (in m) above the line AC is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q29.The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations are 5, 7, 10, 12, 14, 15, then the absolute difference of the remaining two observations is :
Mathematics · Statistics · MCQ
Q30.Let $α$ and $β$ be the roots of x2 - 3x + p=0 and $γ$ and $δ$ be the roots of x2 - 6x + q = 0. If $α, β, γ, δ$ form a geometric progression.Then ratio (2q + p) : (2q - p) is:
Mathematics · Quadratic Equation and Inequalities · MCQ
Q31.If $A = [cos θ i sin θ i sin θ cos θ]$ , $(θ = \frac{π}{24})$ and $A^{5} = [a c b d]$ …
Mathematics · Matrices and Determinants · MCQ
Q32.Let $u = \frac{2 z + i}{z - k i}$ , z = x + iy and k > 0. If the curve represented by Re(u) + Im(u) = 1 intersects the y-axis at the points P and Q where PQ = 5, then the value of k is :
Mathematics · Complex Numbers · MCQ
Q33.Let f be a twice differentiable function on (1, 6). If f(2) = 8, f’(2) = 5, f’(x) $\geq$ 1 and f''(x) $\geq$ 4, for all x $\in$ (1, 6), then :
Mathematics · Application of Derivatives · MCQ
Q34.Let $f (x) = \int \frac{x}{( 1 + x ) ^{2}} d x (x \geq 0)$ . Then f(3) – f(1) is eqaul to :
Mathematics · Indefinite Integrals · MCQ
Q35.Let $f (x) = ∣ x - 2 ∣$ and g(x) = f(f(x)), $x \in [0, 4]$ . Then $0 \int 3 (g (x) - f (x)) d x$ is equal to:
Mathematics · Definite Integration · MCQ
Q36.The integral $\int (\frac{x}{x s i n x + c o s x})^{2} d x$ is equal to (where C is a constant of integration):
Mathematics · Indefinite Integrals · MCQ
Q37.Let $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ (a > b) be a given ellipse, length of whose latus rectum is 10. If its eccentricity is the maximum value of the function, $$\phi \left( t \right) = {5 \over {12}} + t -…
Mathematics · Ellipse · MCQ
Q38.Let y = y(x) be the solution of the differential equation, xy'- y = x2(xcosx + sinx), x > 0. if y ( $π$ ) = $π$ then $y^{''} (\frac{π}{2}) + y (\frac{π}{2})$ is equal to :
Mathematics · Differential Equations · MCQ
Q39.Let [t] denote the greatest integer $\leq$ t. Then the equation in x, [x]2 + 2[x+2] - 7 = 0 has :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q40.A Tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and reaches height $\frac{h}{2}$ . The velocity versus height of the ball during its motion may be represented graphically by : (graph are…
Physics · Motion in A Straight Line · MCQ
Q41.Blocks of masses m, 2m, 4m and 8m are arranged in a line on a frictionless floor. Another block of mass m, moving with speed v along the same line (see figure) collides with mass m in perfectly inelastic manner. All the subsequent… Includes diagram
Physics · Center of Mass · MCQ
Q42.In the line spectra of hydrogen atoms, difference between the largest and the shortest wavelengths of the Lyman series is 304 $A 0$ . The corresponding difference for the Paschan series in $A 0$ is : …
Physics · Atoms and Nuclei · Numerical
Q43.Given figure shows few data points in a phot electric effect experiment for a certain metal. The minimum energy for ejection of electron from its surface is: (Plancks constant h = 6.62 × 10–34 J.s) Includes diagram
Physics · Dual Nature of Radiation · MCQ
Q44.Dimensional formula for thermal conductivity is (here K denotes the temperature):
Physics · Units and Measurements · MCQ
Q45.On the x-axis and at a distance x from the origin, the gravitational field due a mass distribution is given by $\frac{A x}{( x ^{2} + a ^{2} ) ^{3/2}}$ in the x-direction. The magnitude of gravitational potential on the…
Physics · Gravitation · MCQ
Q46.Choose the correct option relating wave lengths of different parts of electromagnetic wave spectrum:
Physics · Electromagnetic Waves · MCQ
Q47.For a transverse wave travelling along a straight line, the distance between two peaks (crests) is 5 m, while the distance between one crest and one trough is 1.5 m. The possible wavelengths (in m) of the are :
Physics · Waves · MCQ
Q48.A battery of 3.0 V is connected to a resistor dissipating 0.5 W of power. If the terminal voltage of the battery is 2.5 V, the power dissipated within the internal resistance is :
Physics · Current Electricity · MCQ
Q49.A two point charges 4q and -q are fixed on the x-axis at x = $- \frac{d}{2}$ and x = $\frac{d}{2}$ respectively. If a third point charge 'q' is taken from the origin to x = d along the semicircle as shown in the figure, the energy of the… Includes diagram
Physics · Electrostatics · MCQ
Q50.A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm s–2. The density of water is 1 gm cm–3 and water offers negligible drag force on the bubble. The mass of the bubble is (g = 980 cm/s2).
Physics · Properties of Matter · MCQ
Q51.Particle A of mass mA = $\frac{m}{2}$ moving along the x-axis with velocity v0 collides elastically with another particle B at rest having mass mB = $\frac{m}{3}$ . If both particles move along the x-axis after the collision, the change $Δ λ$ …
Physics · Dual Nature of Radiation · MCQ
Q52.A wire A, bent in the shape of an arc of a circle, carrying a current of 2 A and having radius 2 cm and another wire B, also bent in the shape of arc of a circle, carrying a current of 3 A and having radius of 4 cm, are placed as shown in… Includes diagram
Physics · Magnetics · MCQ
Q53.A small bar magnet is moved through a coil at constant speed from one end to the other. Which of the following series of observations will be seen on the galvanometer G attached across the coil? Three positions shown describe : (a) the… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q54.Match the $\frac{C _{P}}{C _{V}}$ ratio for ideal gases with different type of molecules : Includes table
Physics · Heat and Thermodynamics · MCQ
Q55.Take the breakdown voltage of the zener diode used in the given circuit as 6V. For the input voltage shown in figure below, the time variation of the output voltage is: (Graphs drawn are schematic and not to scale) Includes diagram
Physics · Electronic Devices · MCQ
Q56.The specific heat of water = 4200 J kg-1K-1 and the latent heat of ice = 3.4 $\times$ 105 J kg–1. 100 grams of ice at 0oC is placed in 200 g of water at 25oC. The amount of ice that will melt as the temperature of water reaches 0oC is…
Physics · Heat and Thermodynamics · MCQ
Q57.A beam of plane polarised light of large cross-sectional area and uniform intensity of 3.3 Wm-2 falls normally on a polariser (cross sectional area 3 $\times$ 10-4 m2) which rotates about its axis with an angular speed of 31.4 rad/s. The…
Physics · Wave Optics · MCQ
Q58.A small bar magnet placed with its axis at 30o with an external field of 0.06 T experiences a torque of 0.018 Nm. The minimum work required to rotate it from its stable to unstable equilibrium position is :
Physics · Magnetic Properties of Matter · MCQ
Q59.Two charged thin infinite plane sheets of uniform surface charge density $σ_{+}$ and $σ_{-}$ , where | $σ_{+}$ | > | $σ_{-}$ |, intersect at right angle. Which of the following best represents the electric…
Physics · Electrostatics · MCQ
Q60.ABC is a plane lamina of the shape of an equilateral triangle. D, E are mid points of AB, AC and G is the centroid of the lamina. Moment of inertia of the lamina about an axis passing through G and perpendicular to the plane ABC is I0 . If… Includes diagram
Physics · Rotational Motion · Numerical
Q61.In a compound microscope, the magnified virtual image is formed at a distance of 25 cm from the eye-piece. The focal length of its objective lens is 1 cm. If the magnification is 100 and the tube length of the microscope is 20 cm, then the…
Physics · Geometrical Optics · Numerical
Q62.A circular disc of mass M and radius R is rotating about its axis with angular speed $ω_{1}$ . If another stationary disc having radius $\frac{R}{2}$ and same mass M is droped co-axially on to the rotating disc. Gradually both discs…
Physics · Rotational Motion · Numerical
Q63.A closed vessel contains 0.1 mole of a monoatomic ideal gas at 200 K. If 0.05 mole of the same gas at 400 K is added to it, the final equilibrium temperature (in K) of the gas in the vessel will be close to .
Physics · Heat and Thermodynamics · Numerical
Q64.Starting from the origin at time t = 0, with initial velocity 5 $j$ ms-1 , a particle moves in the x-y plane with a constant acceleration of $(10 i + 4 j)$ ms-2. At time t, its coordinates are (20…
Physics · Motion in A Plane · MCQ