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2021 · 22 Jul · Shift 2

73 questions · JEE Main

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2021 · 22 Jul · Shift 2

2021 · 22 Jul · Shift 2

73 questions · JEE Main

Chemistry23 questions Mathematics23 questions Physics27 questions

Periodic Table and PeriodicityChemistry · 1 questions Basics of Organic ChemistryChemistry · 4 questions Alcohols Phenols and EthersChemistry · 2 questions Compounds Containing NitrogenChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions P Block ElementsChemistry · 1 questions D and F Block ElementsChemistry · 2 questions BiomoleculesChemistry · 1 questions SolutionsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Sequences and SeriesMathematics · 2 questions Application of DerivativesMathematics · 1 questions Differential EquationsMathematics · 2 questions ProbabilityMathematics · 1 questions Definite IntegrationMathematics · 1 questions Matrices and DeterminantsMathematics · 3 questions 3D GeometryMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions CircleMathematics · 1 questions Complex NumbersMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions EllipseMathematics · 1 questions FunctionsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions StatisticsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Binomial TheoremMathematics · 1 questions Vector AlgebraPhysics · 2 questions Current ElectricityPhysics · 2 questions Alternating CurrentPhysics · 2 questions Work Power and EnergyPhysics · 1 questions Rotational MotionPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions GravitationPhysics · 1 questions ElectrostaticsPhysics · 2 questions Atoms and NucleiPhysics · 1 questions Center of MassPhysics · 2 questions Magnetic Properties of MatterPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions WavesPhysics · 1 questions Electronic DevicesPhysics · 2 questions Units and MeasurementsPhysics · 1 questions

Q1.Which one of the following statements for D.I. Mendeleeff, is incorrect?
Chemistry · Periodic Table and Periodicity · MCQ
Q2.Which purification technique is used for high boiling organic liquid compound (decomposes near its boiling point)?
Chemistry · Basics of Organic Chemistry · MCQ
Q3.Which of the following compounds will provide a tertiary alcohol or reaction with excess of $C H_{3} M g B r$ followed by hydrolysis?
Chemistry · Alcohols Phenols and Ethers · MCQ
Q4.Which of the following compounds does not exhibit resonance?
Chemistry · Basics of Organic Chemistry · MCQ
Q5.In the chemical reactions given above A and B respectively are : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q6.Isotope(s) of hydrogen which emits low energy $β -$ particles with t1/2 value > 12 years is/are
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q7.Match List-I with List-II : Choose the correct answer from the options given below : Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q8.Which of the following molecules does not show stereo isomerism?
Chemistry · Basics of Organic Chemistry · MCQ
Q9.Which one of the following group-15 hydride is the strongest reducing agent?
Chemistry · P Block Elements · MCQ
Q10.The set having ions which are coloured and paramagnetic both is :
Chemistry · D and F Block Elements · MCQ
Q11.Thiamine and pyridoxine are also known respectively as :
Chemistry · Biomolecules · MCQ
Q12.An organic compound A ( $C_{6} H_{6} O$ ) gives dark green colouration with ferric chloride. On treatment with $C H C l_{3}$ and $K O H$ , followed by acidification gives compound B. Compound B can also be obtained from compound C on reaction with…
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.Which one of the following reactions does not occur?
Chemistry · Compounds Containing Nitrogen · MCQ
Q14.Which one of the following 0.06 M aqueous solutions has lowest freezing point?
Chemistry · Solutions · MCQ
Q15.The total number of unpaired electrons present in $[C o (N H_{3})_{6}] C l_{2}$ and $[C o (N H_{3})_{6}] C l_{3}$ is :
Chemistry · Coordination Compounds · Numerical
Q16.Methylation of 10 g of benzene gave 9.2 g of toluene. Calculate the percentage yield of toluene . (Nearest integer)
Chemistry · Practical Organic Chemistry · Numerical
Q17.The number of acyclic structural isomers (including geometrical isomers) for pentene are
Chemistry · Basics of Organic Chemistry · Numerical
Q18.Assume a cell with the following reaction $C u_{(s)} + 2 A g^{+} (1 \times 1 0^{- 3} M) \to C u^{2 +} (0.250 M) + 2 A g_{(s)}$ $E_{ce l l}^{Θ} = 2.97$ V Ecell for the above reaction is V. (Nearest integer)…
Chemistry · Electrochemistry · Numerical
Q19.Value of $K_{P}$ for the equilibrium reaction $N_{2} O_{4}$ (g) $⇌$ 2 $N O_{2}$ (g) at 288 K is 47.9. The $K_{C}$ for this reaction at same temperature is . (Nearest integer) (R = 0.083 L bar K $-$ 1 mol $-$ 1)
Chemistry · Chemical Equilibrium · Numerical
Q20.If the standard molar enthalpy change for combustion of graphite powder is $-$ 2.48 $\times$ 102 kJ mol $-$ 1, the amount of heat generated on combustion of 1 g of graphite powder is kJ. (Nearest integer)
Chemistry · Thermodynamics · Numerical
Q21.Number of electrons that Vanadium (Z = 23) has in p-orbitals is equal to
Chemistry · D and F Block Elements · Numerical
Q22. $N_{2} O_{5 (g)} \to 2 N O_{2 (g)} + \frac{1}{2} O_{2 (g)}$ In the above first order reaction the initial concentration of $N_{2} O_{5}$ is 2.40 $\times$ 10 $-$ 2 mol L $-$ 1 at 318 K. The concentration of $N_{2} O_{5}$ after 1 hour was 1.60 $\times$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q23.If the concentration of glucose ( $C_{6} H_{12} O_{6}$ ) in blood is 0.72 g L $-$ 1, the molarity of glucose in blood is $\times$ 10 $-$ 3 M. (Nearest integer) [Given : Atomic mass of C = 12, H = 1, O = 16 u]
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q24.Let Sn denote the sum of first n-terms of an arithmetic progression. If S10 = 530, S5 = 140, then S20 $-$ S6 is equal to:
Mathematics · Sequences and Series · MCQ
Q25.Let f : R $\to$ R be defined as $f (x) = {- \frac{4}{3} x^{3} + 2 x^{2} + 3 x, 3 x e^{x}, x > 0 x \leq 0$ . Then f is increasing function in the interval
Mathematics · Application of Derivatives · MCQ
Q26.Let y = y(x) be the solution of the differential equation $cos e c^{2} x d y + 2 d x = (1 + y cos 2 x) cos e c^{2} x d x$ , with $y (\frac{π}{4}) = 0$ . Then, the value of $(y (0) + 1)^{2}$ is equal to :
Mathematics · Differential Equations · MCQ
Q27.Four dice are thrown simultaneously and the numbers shown on these dice are recorded in 2 $\times$ 2 matrices. The probability that such formed matrix have all different entries and are non-singular, is :
Mathematics · Probability · MCQ
Q28.If $0 \int 100 π \frac{s i n ^{2} x}{e ^{(\frac{x}{π} - [\frac{x}{π}])}} d x = \frac{α π ^{3}}{1 + 4 π ^{2}}, α \in R$ where [x] is the greatest integer less than or…
Mathematics · Definite Integration · MCQ
Q29.The values of $λ$ and $μ$ such that the system of equations $x + y + z = 6$ , $3 x + 5 y + 5 z = 26$ , $x + 2 y + λ z = μ$ has no solution, are :
Mathematics · Matrices and Determinants · MCQ
Q30.If the shortest distance between the straight lines $3 (x - 1) = 6 (y - 2) = 2 (z - 1)$ and $4 (x - 2) = 2 (y - λ) = (z - 3), λ \in R$ is $\frac{1}{38}$ , then the integral value of $λ$ is equal to :
Mathematics · 3D Geometry · MCQ
Q31.Let A = [aij] be a real matrix of order 3 $\times$ 3, such that ai1 + ai2 + ai3 = 1, for i = 1, 2, 3. Then, the sum of all the entries of the matrix A3 is equal to :
Mathematics · Matrices and Determinants · MCQ
Q32.Let [x] denote the greatest integer less than or equal to x. Then, the values of x $\in$ R satisfying the equation $[e^{x}]^{2} + [e^{x} + 1] - 3 = 0$ lie in the interval :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q33.Let the circle S : 36x2 + 36y2 $-$ 108x + 120y + C = 0 be such that it neither intersects nor touches the co-ordinate axes. If the point of intersection of the lines, x $-$ 2y = 4 and 2x $-$ y = 5 lies inside the circle S, then :
Mathematics · Circle · MCQ
Q34.Let n denote the number of solutions of the equation z2 + 3 $\overline{z}$ = 0, where z is a complex number. Then the value of $k = 0 \sum \infty \frac{1}{n ^{k}}$ is equal to :
Mathematics · Complex Numbers · MCQ
Q35.If the domain of the function $f (x) = \frac{c o s ^{- 1} x ^{2} - x + 1}{s i n ^{- 1} ( \frac{2 x - 1}{2} )}$ is the interval ( $α$ , $β$ ], then $α$ + $β$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q36.Let f : R $\to$ R be defined as $f (x) = {\frac{x ^{3}}{( 1 - c o s 2 x ) ^{2}} lo g_{e} (\frac{1 + 2 x e ^{- 2 x}}{( 1 - x e ^{- x} ) ^{2}}), α, x e 0 x = 0$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q37.Let $E_{1} : \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1, a > b$ . Let E2 be another ellipse such that it touches the end points of major axis of E1 and the foci of E2 are the end points of minor axis of E1. If E1 and E2 have…
Mathematics · Ellipse · MCQ
Q38.Let A = {0, 1, 2, 3, 4, 5, 6, 7}. Then the number of bijective functions f : A $\to$ A such that f(1) + f(2) = 3 $-$ f(3) is equal to
Mathematics · Functions · Numerical
Q39.If the digits are not allowed to repeat in any number formed by using the digits 0, 2, 4, 6, 8, then the number of all numbers greater than 10,000 is equal to .
Mathematics · Permutations and Combinations · Numerical
Q40.Let $A = 010100001$ . Then the number of 3 $\times$ 3 matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is …
Mathematics · Matrices and Determinants · Numerical
Q41.Consider the following frequency distribution : If mean = $\frac{309}{22}$ and median = 14, then the value (a $-$ b)2 is equal to . Includes table
Mathematics · Statistics · Numerical
Q42.The sum of all the elements in the set {n $\in$ {1, 2, ....., 100} | H.C.F. of n and 2040 is 1} is equal to .
Mathematics · Sequences and Series · Numerical
Q43.The area (in sq. units) of the region bounded by the curves x2 + 2y $-$ 1 = 0, y2 + 4x $-$ 4 = 0 and y2 $-$ 4x $-$ 4 = 0, in the upper half plane is .
Mathematics · Area Under the Curves · Numerical
Q44.Let f : R $\to$ R be a function defined as $f (x) = {3 (1 - \frac{∣ x ∣}{2}) 0 i f i f ∣ x ∣ \leq 2 ∣ x ∣ > 2$ Let g : R $\to$ R be given…
Mathematics · Limits Continuity and Differentiability · Numerical
Q45.If the constant term, in binomial expansion of $(2 x^{r} + \frac{1}{x ^{2}})^{10}$ is 180, then r is equal to .
Mathematics · Binomial Theorem · Numerical
Q46.Let y = y(x) be the solution of the differential equation $((x + 2) e^{(\frac{y + 1}{x + 2})} + (y + 1)) d x = (x + 2) d y$ , y(1) = 1. If the domain of y = y(x) is an open interval ( $α$ , $β$ ), then…
Mathematics · Differential Equations · Numerical
Q47.What will be the projection of vector $A = i + j + k$ on vector $B = i + j$ ?
Physics · Vector Algebra · MCQ
Q48.A Copper (Cu) rod of length 25 cm and cross-sectional area 3 mm2 is joined with a similar Aluminium (Al) rod as shown in figure. Find the resistance of the combination between the ends A and B. (Take Resistivity of Copper = 1.7 $\times$ 10… Includes diagram
Physics · Current Electricity · MCQ
Q49.In a circuit consisting of a capacitance and a generator with alternating emf Eg = Eg0 sin $ω$ t, VC and IC are the voltage and current. Correct phasor diagram for such circuit is Includes diagram
Physics · Alternating Current · MCQ
Q50.A porter lifts a heavy suitcase of mass 80 kg and at the destination lowers it down by a distance of 80 cm with a constant velocity. Calculate the work done by the porter in lowering the suitcase. (take g = 9.8 ms $-$ 2)
Physics · Work Power and Energy · MCQ
Q51.Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping. Assume that they start rolling from rest and having identical diameter. The correct statement for this…
Physics · Rotational Motion · MCQ
Q52.Intensity of sunlight is observed as 0.092 Wm $-$ 2 at a point in free space. What will be the peak value of magnetic field at the point? ( $ε_{0} = 8.85 \times 1 0^{- 12} C^{2} N^{- 1} m^{- 2}$ )
Physics · Electromagnetic Waves · MCQ
Q53.A body is projected vertically upwards from the surface of earth with a velocity sufficient enough to carry it to infinity. The time taken by it to reach height h is s.
Physics · Gravitation · MCQ
Q54.An electric dipole is placed on x-axis in proximity to a line charge of linear charge density 3.0 $\times$ 10 $-$ 6 C/m. Line charge is placed on z-axis and positive and negative charge of dipole is at a distance of 10 mm and 12 mm from…
Physics · Electrostatics · MCQ
Q55.A nucleus with mass number 184 initially at rest emits an $α$ -particle. If the Q value of the reaction is 5.5 MeV, calculate the kinetic energy of the $α$ -particle.
Physics · Atoms and Nuclei · MCQ
Q56.A bullet of '4 g' mass is fired from a gun of mass 4 kg. If the bullet moves with the muzzle speed of 50 ms $-$ 1, the impulse imparted to the gun and velocity of recoil of gun are :
Physics · Center of Mass · MCQ
Q57.Statement I : The ferromagnetic property depends on temperature. At high temperature, ferromagnet becomes paramagnet. Statement II : At high temperature, the domain wall area of a ferromagnetic substance increases. In the light of the…
Physics · Magnetic Properties of Matter · MCQ
Q58.Match List - I with List - II Choose the correct answer from the options given below Includes table
Physics · Alternating Current · MCQ
Q59.A ray of light passes from a denser medium to a rarer medium at an angle of incidence i. The reflected and refracted rays make an angle of 90 $^{\circ}$ with each other. The angle of reflection and refraction are respectively r and r'. The… Includes diagram
Physics · Geometrical Optics · MCQ
Q60.An electron of mass me and a proton of mass mp are accelerated through the same potential difference. The ratio of the de-Broglie wavelength associated with the electron to that with the proton is
Physics · Dual Nature of Radiation · MCQ
Q61.What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature T?
Physics · Heat and Thermodynamics · MCQ
Q62.T0 is the time period of a simple pendulum at a place. if the length of the pendulum is reduced to $\frac{1}{16}$ times of its initial value, the modified time period is :
Physics · Simple Harmonic Motion · MCQ
Q63.The motion of a mass on a spring, with spring constant K is as shown in figure. The equation of motion is given by x(t) = A sin $ω$ t + B cos $ω$ t with $ω$ = $\frac{K}{m}$ Suppose that at time t = 0, the position of… Includes diagram
Physics · Waves · MCQ
Q64.Consider a situation in which reserve biased current of a particular P-N junction increases when it is exposed to a light of wavelength $\leq$ 621 nm. During this process, enhancement in carrier concentration takes place due to generation…
Physics · Electronic Devices · MCQ
Q65.A ray of light passing through a prism ( $μ$ = $3$ ) suffers minimum deviation. It is found that the angle of incidence is double the angle of refraction within the prism. Then, the angle of prism is (in…
Physics · Geometrical Optics · Numerical
Q66.Three students S1, S2 and S3 perform an experiment for determining the acceleration due to gravity (g) using a simple pendulum. They use different lengths of pendulum and record time for different number of oscillations. The observations… Includes table
Physics · Units and Measurements · Numerical
Q67.Three particles P, Q and R are moving along the vectors $A = i + j$ , $B = j + k$ and $C = - i + j$ respectively. They strike on a point…
Physics · Vector Algebra · Numerical
Q68.In a given circuit diagram, a 5 V zener diode along with a series resistance is connected across a 50 V power supply. The minimum value of the resistance required, if the maximum zener current is 90 mA will be $Ω$ … Includes diagram
Physics · Electronic Devices · Numerical
Q69.The total charge enclosed in an incremental volume of 2 $\times$ 10 $-$ 9 m3 located at the origin is nC, if electric flux density of its field is found as D = e $-$ x sin y $i -$ e $-$ x cos y $j$ …
Physics · Electrostatics · Numerical
Q70.The position of the centre of mass of a uniform semi-circular wire of radius 'R' placed in x-y plane with its centre at the origin and the line joining its ends as x-axis is given by $(0, \frac{x R}{π})$ . Then, the…
Physics · Center of Mass · Numerical
Q71.In an electric circuit, a cell of certain emf provides a potential difference of 1.25 V across a load resistance of 5 $Ω$ . However, it provides a potential difference of 1 V across a load resistance of 2 $Ω$ . The emf of the cell…
Physics · Current Electricity · Numerical
Q72.The area of cross-section of a railway track is 0.01 m2. The temperature variation is 10 $^{\circ}$ C. Coefficient of liner expansion of material of track is 10 $-$ 5/ $^{\circ}$ C. The energy stored per meter in the track is …
Physics · Heat and Thermodynamics · Numerical
Q73.The centre of a wheel rolling on a plane surface moves with a speed v0. A particle on the rim of the wheel at the same level as the centre will be moving at a speed $x v_{0}$ . Then the value of x is .
Physics · Rotational Motion · Numerical