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2021 · 26 Aug · Shift 2

72 questions · JEE Main

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2021 · 26 Aug · Shift 2

2021 · 26 Aug · Shift 2

72 questions · JEE Main

Chemistry22 questions Mathematics23 questions Physics27 questions

Alcohols Phenols and EthersChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions BiomoleculesChemistry · 1 questions Compounds Containing NitrogenChemistry · 3 questions Periodic Table and PeriodicityChemistry · 1 questions Coordination CompoundsChemistry · 3 questions Basics of Organic ChemistryChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 2 questions Practical Organic ChemistryChemistry · 1 questions Chemical EquilibriumChemistry · 2 questions ThermodynamicsChemistry · 1 questions Structure of AtomChemistry · 1 questions ElectrochemistryChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Matrices and DeterminantsMathematics · 1 questions Application of DerivativesMathematics · 1 questions Definite IntegrationMathematics · 2 questions Differential EquationsMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 2 questions ProbabilityMathematics · 2 questions HyperbolaMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Complex NumbersMathematics · 2 questions Vector AlgebraMathematics · 2 questions CircleMathematics · 1 questions Sequences and SeriesMathematics · 2 questions Area Under the CurvesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions StatisticsMathematics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Circular MotionPhysics · 1 questions Vector AlgebraPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions ElectrostaticsPhysics · 1 questions Current ElectricityPhysics · 2 questions Rotational MotionPhysics · 1 questions CapacitorPhysics · 1 questions Motion in A PlanePhysics · 1 questions Electronic DevicesPhysics · 2 questions Units and MeasurementsPhysics · 3 questions Alternating CurrentPhysics · 1 questions Properties of MatterPhysics · 1 questions WavesPhysics · 1 questions Wave OpticsPhysics · 1 questions Electromagnetic InductionPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions MagneticsPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Laws of MotionPhysics · 1 questions

Q1.Which one of the following phenols does not give colour when condensed with phthalic anhydride in presence of conc. $H_{2} S O_{4}$ ?
Chemistry · Alcohols Phenols and Ethers · MCQ
Q2.The bond order and magnetic behaviour of $O_{2}^{-}$ ion are respectively :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q3.Given below are two statements : one is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Sucrose is a disaccharide and a non-reducing sugar. Reason (R) : Sucrose involves glycosidic linkage between C1 of $β$ …
Chemistry · Biomolecules · MCQ
Q4.Match List - I with List - II : Choose the most appropriate match : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q5.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Barium carbonate is insoluble in water and is highly stable. Reason (R) : The thermal stability of the carbonates…
Chemistry · Periodic Table and Periodicity · MCQ
Q6.The major product in the above reaction is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.Indicate the complex/complex ion which did not show any geometrical isomerism :
Chemistry · Coordination Compounds · MCQ
Q8.Arrange the following Cobalt complexes in the order of increasing Crystal Field Stabilization Energy (CFSE) value. Complexes : $A [C o F_{6}]^{3 -}, B [C o (H_{2} O)_{6}]^{2 +}, C [C o (N H_{3})_{6}]^{3 +} an d D [C o (e n)_{3}]^{3 +}$ …
Chemistry · Coordination Compounds · MCQ
Q9.Which one of the following compounds is not aromatic?
Chemistry · Basics of Organic Chemistry · MCQ
Q10.The number of stereoisomers possible for 1, 2-dimethyl cyclopropane is :
Chemistry · Basics of Organic Chemistry · MCQ
Q11.Consider the given reaction, identify 'X' and 'Y' : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.Consider the given reaction, the product A is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q13.In the sulphur estimation, 0.471 g of an organic compound gave 1.44 g of barium sulphate. The percentage of sulphur in the compound is %. (Nearest integer) (Atomic Mass of Ba = 137 u)
Chemistry · Practical Organic Chemistry · Numerical
Q14.The equilibrium constant Kc at 298 K for the reaction A + B $⇌$ C + D is 100. Starting with an equimolar solution with concentrations of A, B, C and D all equal to 1M, the equilibrium concentration of D is …
Chemistry · Chemical Equilibrium · Numerical
Q15.For water $Δ$ vap H = 41 kJ mol $-$ 1 at 373 K and 1 bar pressure. Assuming that water vapour is an ideal gas that occupies a much larger volume than liquid water, the internal energy change during evaporation of water is …
Chemistry · Thermodynamics · Numerical
Q16.A metal surface is exposed to 500 nm radiation. The threshold frequency of the metal for photoelectric current is 4.3 $\times$ 1014 Hz. The velocity of ejected electron is $\times$ 105 ms $-$ 1 (Nearest integer)…
Chemistry · Structure of Atom · Numerical
Q17.For the galvanic cell, Zn(s) + $C u^{2 +}$ (0.02 M) $\to$ $Z n^{2 +}$ (0.04 M) + Cu(s), Ecell = $\times$ 10 $-$ 2 V. (Nearest integer) [Use : $E_{C u / C u^{2 +}}^{0}$ = $-$ 0.34 V, $E_{Z n / Z n^{2 +}}^{0}$ = + 0.76 V, $\frac{2.303 R T}{F} = 0.059 V$ …
Chemistry · Electrochemistry · Numerical
Q18.100 mL of $N a_{3} P O_{4}$ solution contains 3.45 g of sodium. The molarity of the solution is $\times$ 10 $-$ 2 mol L $-$ 1. (Nearest integer) [Atomic Masses - Na : 23.0 u, O : 16.0 u, P : 31.0 u]
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q19.The overall stability constant of the complex ion $[C u (N H_{3})_{4}]^{2 +}$ is 2.1 $\times$ 1013. The overall dissociations constant is y $\times$ 10 $-$ 14. Then y is . (Nearest integer)
Chemistry · Coordination Compounds · Numerical
Q20.83 g of ethylene glycol dissolved in 625 g of water. The freezing point of the solution is K. (Nearest integer) [Use : Molal Freezing point depression constant of water = 1.86 K kg mol $-$ 1] Freezing Point of…
Chemistry · Solutions · Numerical
Q21.The reaction rate for the reaction $[P tC l_{4}]^{2 -}$ + $H_{2} O$ $⇌$ $[P t (H_{2} O) C l_{3}]^{-}$ + $C l^{-}$ was measured as a function of concentrations of different species. It was observed that $\frac{- d [ [ P tC l _{4} ] ^{2 -} ]}{d t} = 4.8 \times 1 0^{- 5} [[P tC l_{4}]^{2 -}] - 2.4 \times 1 0^{- 3} [[P t (H_{2} O) C l_{3}]^{-}] [C l^{-}]$ …
Chemistry · Chemical Equilibrium · Numerical
Q22.A chloro compound "A". (i) forms aldehydes on ozonolysis followed by the hydrolysis. (ii) when vaporized completely 1.53 g of A, gives 448 mL of vapour at STP. The number of carbon atoms in a molecule of compound A is …
Chemistry · Haloalkanes and Haloarenes · Numerical
Q23.Let [t] denote the greatest integer less than or equal to t. Let f(x) = x $-$ [x], g(x) = 1 $-$ x + [x], and h(x) = min{f(x), g(x)}, x $\in$ [ $-$ 2, 2]. Then h is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q24.Let $A = 101010010$ . Then A2025 $-$ A2020 is equal to :
Mathematics · Matrices and Determinants · MCQ
Q25.The local maximum value of the function $f (x) = (\frac{2}{x})^{x^{2}}$ , x > 0, is
Mathematics · Application of Derivatives · MCQ
Q26.If the value of the integral $0 \int 5 \frac{x + [ x ]}{e ^{x - [x]}} d x = α e^{- 1} + β$ , where $α$ , $β \in$ R, 5 $α$ + 6 $β$ = 0, and [x] denotes the greatest integer less than or equal to x;…
Mathematics · Definite Integration · MCQ
Q27.Let y(x) be the solution of the differential equation 2x2 dy + (ey $-$ 2x)dx = 0, x > 0. If y(e) = 1, then y(1) is equal to :
Mathematics · Differential Equations · MCQ
Q28.The domain of the function $cosec o l imi t s^{- 1} (\frac{1 + x}{x})$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q29.A fair die is tossed until six is obtained on it. Let x be the number of required tosses, then the conditional probability P(x $\geq$ 5 | x > 2) is :
Mathematics · Probability · MCQ
Q30.If $r = 1 \sum 50 tan^{- 1} \frac{1}{2 r ^{2}} = p$ , then the value of tan p is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q31.Two fair dice are thrown. The numbers on them are taken as $λ$ and $μ$ , and a system of linear equations x + y + z = 5 x + 2y + 3z = $μ$ x + 3y + $λ$ z = 1 is constructed. If p is the probability that the system has a unique…
Mathematics · Probability · MCQ
Q32.The locus of the mid points of the chords of the hyperbola x2 $-$ y2 = 4, which touch the parabola y2 = 8x, is :
Mathematics · Hyperbola · MCQ
Q33.The value of $2 sin (\frac{π}{8}) sin (\frac{2 π}{8}) sin (\frac{3 π}{8}) sin (\frac{5 π}{8}) sin (\frac{6 π}{8}) sin (\frac{7 π}{8})$ …
Mathematics · Trigonometric Ratio and Identites · MCQ
Q34.If $(3 + i)^{100} = 2^{99} (p + i q)$ , then p and q are roots of the equation :
Mathematics · Complex Numbers · MCQ
Q35.A hall has a square floor of dimension 10 m $\times$ 10 m (see the figure) and vertical walls. If the angle GPH between the diagonals AG and BH is $cos^{- 1} \frac{1}{5}$ , then the height of the hall (in meters) is : Includes diagram
Mathematics · Vector Algebra · MCQ
Q36.The value of $- \frac{π}{2} \int \frac{π}{2} (\frac{1 + s i n ^{2} x}{1 + π ^{s i n x}}) d x$ is
Mathematics · Definite Integration · MCQ
Q37.A circle C touches the line x = 2y at the point (2, 1) and intersects the circle C1 : x2 + y2 + 2y $-$ 5 = 0 at two points P and Q such that PQ is a diameter of C1. Then the diameter of C is :
Mathematics · Circle · MCQ
Q38. $x \to 2 lim (n = 1 \sum 9 \frac{x}{n ( n + 1 ) x ^{2} + 2 ( 2 n + 1 ) x + 4})$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q39.The sum of all 3-digit numbers less than or equal to 500, that are formed without using the digit "1" and they all are multiple of 11, is .
Mathematics · Sequences and Series · Numerical
Q40.Let a and b respectively be the points of local maximum and local minimum of the function f(x) = 2x3 $-$ 3x2 $-$ 12x. If A is the total area of the region bounded by y = f(x), the x-axis and the lines x = a and x = b, then 4A is equal to …
Mathematics · Area Under the Curves · Numerical
Q41.If the projection of the vector $i + 2 j + k$ on the sum of the two vectors $2 i + 4 j - 5 k$ and $- λ i + 2 j + 3 k$ is 1, then $λ$ is equal to …
Mathematics · Vector Algebra · Numerical
Q42.Let a1, a2, ......., a10 be an AP with common difference $-$ 3 and b1, b2, ........., b10 be a GP with common ratio 2. Let ck = ak + bk, k = 1, 2, ......, 10. If c2 = 12 and c3 = 13, then $k = 1 \sum 10 c_{k}$ is equal to …
Mathematics · Sequences and Series · Numerical
Q43.Let $λ e$ 0 be in R. If $α$ and $β$ are the roots of the equation x2 $-$ x + 2 $λ$ = 0, and $α$ and $γ$ are the roots of equation 3x2 $-$ 10x + 27 $λ$ = 0, then $\frac{β γ}{λ}$ is equal…
Mathematics · Quadratic Equation and Inequalities · Numerical
Q44.Let the mean and variance of four numbers 3, 7, x and y(x > y) be 5 and 10 respectively. Then the mean of four numbers 3 + 2x, 7 + 2y, x + y and x $-$ y is .
Mathematics · Statistics · Numerical
Q45.The least positive integer n such that $\frac{( 2 i ) ^{n}}{( 1 - i ) ^{n - 2}}, i = - 1$ is a positive integer, is .
Mathematics · Complex Numbers · Numerical
Q46.The temperature of equal masses of three different liquids x, y and z are 10 $^{\circ}$ C, 20 $^{\circ}$ C and 30 $^{\circ}$ C respectively. The temperature of mixture when x is mixed with y is 16 $^{\circ}$ C and that when y is mixed with z is 26…
Physics · Heat and Thermodynamics · MCQ
Q47.The de-Broglie wavelength of a particle having kinetic energy E is $λ$ . How much extra energy must be given to this particle so that the de-Broglie wavelength reduces to 75% of the initial value?
Physics · Dual Nature of Radiation · MCQ
Q48.A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r such that $r = \frac{L}{2}$ . The speed of particle will be :
Physics · Circular Motion · MCQ
Q49.A cylindrical container of volume 4.0 $\times$ 10 $-$ 3 m3 contains one mole of hydrogen and two moles of carbon dioxide. Assume the temperature of the mixture is 400 K. The pressure of the mixture of gases is : [Take gas constant as 8.3 J…
Physics · Heat and Thermodynamics · MCQ
Q50.The angle between vector $(A)$ and $(A - B)$ is : Includes diagram
Physics · Vector Algebra · MCQ
Q51.A light beam is described by $E = 800 sin ω (t - \frac{x}{c})$ . An electron is allowed to move normal to the propagation of light beam with a speed of 3 $\times$ 107 ms $-$ 1. What is the maximum magnetic force…
Physics · Electromagnetic Waves · MCQ
Q52.The two thin coaxial rings, each of radius 'a' and having charges +Q and $-$ Q respectively are separated by a distance of 's'. The potential difference between the centres of the two rings is :
Physics · Electrostatics · MCQ
Q53.If you are provided a set of resistances 2 $Ω$ , 4 $Ω$ , 6 $Ω$ and 8 $Ω$ . Connect these resistances so as to obtain an equivalent resistance of $\frac{46}{3} Ω$ .
Physics · Current Electricity · MCQ
Q54.The solid cylinder of length 80 cm and mass M has a radius of 20 cm. Calculate the density of the material used if the moment of inertia of the cylinder about an axis CD parallel to AB as shown in figure is 2.7 kg m2. Includes diagram
Physics · Rotational Motion · MCQ
Q55.A parallel plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant K1 and K2 of same area A/2 and thickness d/2 are inserted in the space between the plates. The capacitance of the… Includes diagram
Physics · Capacitor · MCQ
Q56.A bomb is dropped by fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb is a :
Physics · Motion in A Plane · MCQ
Q57.An electric bulb of 500 watt at 100 volt is used in a circuit having a 200 V supply. Calculate the resistance R to be connected in series with the bulb so that the power delivered by the bulb is 500 W.
Physics · Current Electricity · MCQ
Q58.Four NOR gates are connected as shown in figure. The truth table for the given figure is : Includes diagram
Physics · Electronic Devices · MCQ
Q59.Match List - I with List - II Choose the most appropriate answer from the options given below : Includes diagram
Physics · Units and Measurements · MCQ
Q60.In the given circuit the AC source has $ω$ = 100 rad s-1. Considering the inductor and capacitor to be ideal, what will be the current I flowing through the circuit? Includes diagram
Physics · Alternating Current · MCQ
Q61.If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is :
Physics · Units and Measurements · MCQ
Q62.Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth pulley. The breaking stress of the metal is $\frac{24}{π} \times 1 0^{2}$ Nm-2. What is the minimum radius of the wire ? (Take g = 10 ms-2) Includes diagram
Physics · Properties of Matter · MCQ
Q63.Two waves are simultaneously passing through a string and their equations are : y1 = A1 sin k(x $-$ vt), y2 = A2 sin k(x $-$ vt + x0). Given amplitudes A1 = 12 mm and A2 = 5 mm, x0 = 3.5 cm and wave number k = 6.28 cm $-$ 1. The amplitude…
Physics · Waves · Numerical
Q64.A source of light is placed in front of a screen. Intensity of light on the screen is I. Two Polaroids P1 and P2 are so placed in between the source of light and screen that the intensity of light on screen is I/2. P2 should be rotated by…
Physics · Wave Optics · Numerical
Q65.If the maximum value of accelerating potential provided by a ratio frequency oscillator is 12 kV. The number of revolution made by a proton in a cyclotron to achieve one sixth of the speed of light is ............... [mp = 1.67 $\times$ 10…
Physics · Electromagnetic Induction · Numerical
Q66.The acceleration due to gravity is found upto an accuracy of 4% on a planet. The energy supplied to a simple pendulum to known mass 'm' to undertake oscillations of time period T is being estimated. If time period is measured to an…
Physics · Units and Measurements · Numerical
Q67.A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rad s $-$ 1 in a uniform horizontal magnetic field of 3.0 $\times$ 10 $-$ 2 T. The maximum emf induced the coil will be…
Physics · Electromagnetic Induction · Numerical
Q68.Two simple harmonic motions are represented by the equations $x_{1} = 5 sin (2 π t + \frac{π}{4})$ and $x_{2} = 52 (sin 2 π t + cos 2 π t)$ . The amplitude of second motion is ................ times the…
Physics · Simple Harmonic Motion · Numerical
Q69.A coil in the shape of an equilateral triangle of side 10 cm lies in a vertical plane between the pole pieces of permanent magnet producing a horizontal magnetic field 20 mT. The torque acting on the coil when a current of 0.2 A is passed…
Physics · Magnetics · Numerical
Q70.For the given circuit, the power across Zener diode is .............. mW. Includes diagram
Physics · Electronic Devices · Numerical
Q71.An object is placed at a distance of 12 cm from a convex lens. A convex mirror of focal length 15 cm is placed on other side of lens at 8 cm as shown in the figure. Image of object coincides with the object. When the convex mirror is… Includes diagram
Physics · Geometrical Optics · Numerical
Q72.The coefficient of static friction between two blocks is 0.5 and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is .................. N. (take g = 10 ms-2) Includes diagram
Physics · Laws of Motion · Numerical