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2021 · 18 Mar · Shift 2

68 questions · JEE Main

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2021 · 18 Mar · Shift 2

2021 · 18 Mar · Shift 2

68 questions · JEE Main

Chemistry22 questions Mathematics21 questions Physics25 questions

BiomoleculesChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 3 questions Haloalkanes and HaloarenesChemistry · 2 questions D and F Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Structure of AtomChemistry · 1 questions Redox ReactionsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions Some Basic Concepts of ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions SolutionsChemistry · 1 questions Differential EquationsMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Area Under the CurvesMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Vector AlgebraMathematics · 2 questions Complex NumbersMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Definite IntegrationMathematics · 2 questions StatisticsMathematics · 1 questions Sets and RelationsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions FunctionsMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Electromagnetic WavesPhysics · 1 questions GravitationPhysics · 2 questions Center of MassPhysics · 2 questions Alternating CurrentPhysics · 1 questions Circular MotionPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Rotational MotionPhysics · 2 questions Motion in A Straight LinePhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Electromagnetic InductionPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions MagneticsPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions Current ElectricityPhysics · 2 questions Wave OpticsPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Properties of MatterPhysics · 1 questions Units and MeasurementsPhysics · 1 questions ElectrostaticsPhysics · 1 questions

Q1.Deficiency of vitamin K causes :
Chemistry · Biomolecules · MCQ
Q2.In the following molecule, Hybridisation of Carbon a, b, and c respectively are : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q3.Consider the given reaction, percentage yield of : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.Given below are two statements : Statement I : $C_{2} H_{5} O H$ and $A g C N$ both can generate nucleophile. Statement II : $K C N$ and $A g C N$ both will generate nitrile nucleophile with all reaction conditions. Choose the most appropriate option :
Chemistry · Haloalkanes and Haloarenes · MCQ
Q5.The oxide that shows magnetic property is :
Chemistry · D and F Block Elements · MCQ
Q6.In the reaction of hypobromite with amide, the carbonyl carbon is lost as :
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.The secondary valency and the number of hydrogen bonded water molecule(s) in $C u S O_{4}$ . 5 $H_{2} O$ , respectively, are :
Chemistry · Coordination Compounds · MCQ
Q8.The first ionization energy of magnesium is smaller as compared to that of elements X and Y, but higher than that of Z. The elements X, Y and Z, respectively, are :
Chemistry · Periodic Table and Periodicity · MCQ
Q9.Given below are two statements : Statement I : Bohr's theory accounts for the stability and line spectrum of $L i^{+}$ ion. Statement II : Bohr's theory was unable to explain the splitting of spectral lines in the presence of a magnetic…
Chemistry · Structure of Atom · MCQ
Q10.The oxidation states of nitrogen in $N O$ , $N O_{2}$ , $N_{2} O$ and NO $_{3}^{-}$ are in the order of :
Chemistry · Redox Reactions · MCQ
Q11.An organic compound "A" on treatment with benzene sulphonyl chloride gives compound B. B is soluble in dil. NaOH solution. Compound A is :
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.Main products formed during a reaction of 1-methoxy naphthalene with hydroiodic acid are :
Chemistry · Haloalkanes and Haloarenes · MCQ
Q13.Consider the above reaction, the product 'X' and 'Y' respectively are : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q14.In Tollen's test for aldehyde, the overall number of electron(s) transferred to the Tollen's reagent formula $[A g (N H_{3})_{2}]^{+}$ per aldehyde group to form silver mirror is . (Round off to the Nearest Integer).
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q15.10.0 mL of $N a_{2} C O_{3}$ solution is titrated against 0.2 M $H C l$ solution. The following titre values were obtained in 5 readings : 4.8 mL, 4.9 mL, 5.0 mL, 5.0 mL and 5.0 mL Based on these readings, and convention of titrimetric estimation…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q16.The number of species below that have two lone pairs of electrons in their central atom is . (Round off to the Nearest Integer). $S F_{4}$ , BF $_{4}^{-}$ , $C l F_{3}$ , $A s F_{3}$ , $P C l_{5}$ , $B r F_{5}$ , $X e F_{4}$ , $S F_{6}$
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q17.Consider the above reaction where 6.1 g of Benzoic acid is used to get 7.8 g of m-bromo benzoic acid. The percentage yield of the product is (Round off to the Nearest Integer). [Given : Atomic masses : C : 12.0… Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q18.The molar conductivities at infinite dilution of barium chloride, sulphuric acid and hydrochloric acid are 280, 860 and 426 S cm2 mol $-$ 1 respectively. The molar conductivity at infinite dilution of barium sulphate is …
Chemistry · Electrochemistry · Numerical
Q19.The gas phase reaction $2 A (g) ⇌ A_{2} (g)$ at 400 K has $Δ$ Go = + 25.2 kJ mol-1. The equilibrium constant KC for this reaction is $\times$ 10 $-$ 2. (Round off to the Nearest Integer). [Use :…
Chemistry · Chemical Equilibrium · Numerical
Q20.A reaction has a half life of 1 min. The time required for 99.9% completion of the reaction is min. (Round off to the Nearest Integer). [Use : ln 2 = 0.69; ln 10 = 2.3]
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q21.The solubility of $C d S O_{4}$ in water is 8.0 $\times$ 10 $-$ 4 mol L $-$ 1. Its solubility in 0.01 M $H_{2} S O_{4}$ solution is $\times$ 10 $-$ 6 mol L $-$ 1. (Round off to the Nearest Integer). (Assume that solubility is…
Chemistry · Ionic Equilibrium · Numerical
Q22.A solute A dimerizes in water. The boiling point of a 2 molal solution of A is 100.52 $^{\circ}$ C. The percentage association of A is . (Round off to the Nearest Integer). [Use : Kb for water = 0.52 K kg mol $-$ 1…
Chemistry · Solutions · Numerical
Q23.Let y = y(x) be the solution of the differential equation $\frac{d y}{d x} = (y + 1) ((y + 1) e^{x^{2} /2} - x)$ , 0 < x < 2.1, with y(2) = 0. Then the value of $\frac{d y}{d x}$ at x = 1 is equal to :
Mathematics · Differential Equations · MCQ
Q24.Let the system of linear equations 4x + $λ$ y + 2z = 0 2x $-$ y + z = 0 $μ$ x + 2y + 3z = 0, $λ$ , $μ \in$ R. has a non-trivial solution. Then which of the following is true?
Mathematics · Matrices and Determinants · MCQ
Q25.The area bounded by the curve 4y2 = x2(4 $-$ x)(x $-$ 2) is equal to :
Mathematics · Area Under the Curves · MCQ
Q26.If 15sin4 $α$ + 10cos4 $α$ = 6, for some $α \in$ R, then the value of 27sec6 $α$ + 8cosec6 $α$ is equal to :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q27.Let $a$ and $b$ be two non-zero vectors perpendicular to each other and $∣ a ∣ = ∣ b ∣$ . If $∣ a \times b ∣ = ∣ a ∣$ , then the…
Mathematics · Vector Algebra · MCQ
Q28.Let a complex number be w = 1 $- 3$ i. Let another complex number z be such that |zw| = 1 and arg(z) $-$ arg(w) = $\frac{π}{2}$ . Then the area of the triangle with vertices origin, z and w is equal to :
Mathematics · Complex Numbers · MCQ
Q29.Let $f : R \to R$ be a function defined as $f (x) = ⎩ ⎨ ⎧ \frac{sin ( a + 1 ) x + sin 2 x}{2 x} b \frac{x + b x ^{3} - x}{b x ^{5/2}} if x < 0 if x = 0 if x > 0$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q30.Let g(x) = $\int_{0}^{x} f (t) d t$ , where f is continuous function in [ 0, 3 ] such that $\frac{1}{3} \leq$ f(t) $\leq$ 1 for all t $\in$ [0, 1] and 0 $\leq$ f(t) $\leq \frac{1}{2}$ for all t $\in$ (1, 3]. The largest possible interval in which…
Mathematics · Definite Integration · MCQ
Q31.Let in a series of 2n observations, half of them are equal to a and remaining half are equal to $-$ a. Also by adding a constant b in each of these observations, the mean and standard deviation of new set become 5 and 20, respectively.…
Mathematics · Statistics · MCQ
Q32.In a triangle ABC, if $∣ B C ∣ = 8, ∣ C A ∣ = 7, ∣ A B ∣ = 10$ , then the projection of the vector $A B$ on $A C$ is equal to :
Mathematics · Vector Algebra · MCQ
Q33.Define a relation R over a class of n $\times$ n real matrices A and B as "ARB iff there exists a non-singular matrix P such that PAP $-$ 1 = B". Then which of the following is true?
Mathematics · Sets and Relations · MCQ
Q34.Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be along the straight line x + y = 3. If R and r be the radius of circumcircle and incircle respectively of $Δ$ ABC,…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q35.Let f : R $-$ {3} $\to$ R $-$ {1} be defined by f(x) = $\frac{x - 2}{x - 3}$ . Let g : R $\to$ R be given as g(x) = 2x $-$ 3. Then, the sum of all the values of x for which f $-$ 1(x) + g $-$ 1(x) = $\frac{13}{2}$ is equal to :
Mathematics · Functions · MCQ
Q36.Let S1 be the sum of first 2n terms of an arithmetic progression. Let S2 be the sum of first 4n terms of the same arithmetic progression. If (S2 $-$ S1) is 1000, then the sum of the first 6n terms of the arithmetic progression is equal to :
Mathematics · Sequences and Series · MCQ
Q37.If $r = 1 \sum 10 r! (r^{3} + 6 r^{2} + 2 r + 5) = α (11!)$ , then the value of $α$ is equal to .
Mathematics · Permutations and Combinations · Numerical
Q38.If f(x) and g(x) are two polynomials such that the polynomial P(x) = f(x3) + x g(x3) is divisible by x2 + x + 1, then P(1) is equal to .
Mathematics · Functions · Numerical
Q39.The term independent of x in the expansion of $[\frac{x + 1}{x ^{2/3} - x ^{1/3} + 1} - \frac{x - 1}{x - x ^{1/2}}]^{10}$ , x $e$ 1, is equal to .
Mathematics · Binomial Theorem · Numerical
Q40.Let y = y(x) be the solution of the differential equation xdy $-$ ydx = $(x^{2} - y^{2}) d x$ , x $\geq$ 1, with y(1) = 0. If the area bounded by the line x = 1, x = e $π$ , y = 0 and y = y(x) is $α$ e2 $π$ + $β$ , then the…
Mathematics · Differential Equations · Numerical
Q41.Let I be an identity matrix of order 2 $\times$ 2 and P = $[25 - 1 - 3]$ . Then the value of n $\in$ N for which Pn = 5I $-$ 8P is equal to .
Mathematics · Matrices and Determinants · Numerical
Q42.Let f : R $\to$ R satisfy the equation f(x + y) = f(x) . f(y) for all x, y $\in$ R and f(x) $e$ 0 for any x $\in$ R. If the function f is differentiable at x = 0 and f'(0) = 3, then $$\mathop {\lim }\limits_{h \to 0} {1 \over h}(f(h) -…
Mathematics · Limits Continuity and Differentiability · Numerical
Q43.Let P(x) be a real polynomial of degree 3 which vanishes at x = $-$ 3. Let P(x) have local minima at x = 1, local maxima at x = $-$ 1 and $- 1 \int 1 P (x) d x$ = 18, then the sum of all the coefficients of the polynomial P(x) is…
Mathematics · Definite Integration · Numerical
Q44.A plane electromagnetic wave propagating along y-direction can have the following pair of electric field $(E)$ and magnetic field $(B)$ components.
Physics · Electromagnetic Waves · MCQ
Q45.If the angular velocity of earth's spin is increased such that the bodies at the equator start floating, the duration of the day would be approximately : [Take g = 10 ms $-$ 2, the radius of earth, R = 6400 $\times$ 103 m, Take $π$ =…
Physics · Gravitation · MCQ
Q46.An object of mass m1 collides with another object of mass m2, which is at rest. After the collision the objects move with equal speeds in opposite direction. The ratio of the masses m2 : m1 is :
Physics · Center of Mass · MCQ
Q47.In a series LCR circuit, the inductive reactance (XL) is 10 $Ω$ and the capacitive reactance (XC) is 4 $Ω$ . The resistance (R) in the circuit is 6 $Ω$ . The power factor of the circuit is :
Physics · Alternating Current · MCQ
Q48.A particle of mass m moves in a circular orbit under the central potential field, $U (r) = - \frac{C}{r}$ , where C is a positive constant. The correct radius $-$ velocity graph of the particle's motion is :
Physics · Circular Motion · MCQ
Q49.The angular momentum of a planet of mass M moving around the sun in an elliptical orbit is $L$ . The magnitude of the areal velocity of the planet is :
Physics · Gravitation · MCQ
Q50.Three rays of light, namely red (R), green (G) and blue (B) are incident on the face PQ of a right angled prism PQR as shown in the figure. The refractive indices of the material of the prism for red, green and blue wavelength are 1.27,… Includes diagram
Physics · Geometrical Optics · MCQ
Q51.Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpendicular to the plane of the wire passing through the center is :
Physics · Rotational Motion · MCQ
Q52.The velocity $-$ displacement graph of a particle is shown in the figure. The acceleration $-$ displacement graph of the same particle is represented by : Includes diagram
Physics · Motion in A Straight Line · MCQ
Q53.Consider a sample of oxygen behaving like an ideal gas. At 300 K, the ratio of root mean square (rms) velocity to the average velocity of gas molecule would be : (Molecular weight of oxygen is 32g/mol; R = 8.3 J K $-$ 1 mol $-$ 1)
Physics · Heat and Thermodynamics · MCQ
Q54.The time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance R, inductance L is connected to a battery, is :
Physics · Electromagnetic Induction · MCQ
Q55.A solid cylinder of mass m is wrapped with an inextensible light string and, is placed on a rough inclined plane as shown in the figure. The frictional force acting between the cylinder and the inclined plane is : [The coefficient of… Includes diagram
Physics · Rotational Motion · MCQ
Q56.The function of time representing a simple harmonic motion with a period of $\frac{π}{ω}$ is :
Physics · Simple Harmonic Motion · MCQ
Q57.For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where $γ$ is the ratio of specific heats) :
Physics · Heat and Thermodynamics · MCQ
Q58.A proton and an $α$ -particle, having kinetic energies Kp and K $α$ respectively, enter into a magnetic field at right angles. The ratio of the radii of trajectory of proton to that of $α$ -particle is 2 : 1. The ratio of Kp :…
Physics · Magnetics · MCQ
Q59.An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is S1 and that of the other part is S2. Given that S1 > S2. If the piston is removed then the total entropy of the system will be :
Physics · Heat and Thermodynamics · MCQ
Q60.Which of the following statements are correct? (A) Electric monopoles do not exist whereas magnetic monopoles exist. (B) Magnetic field lines due to a solenoid at its ends and outside cannot be completely straight and confined. (C)…
Physics · Magnetic Properties of Matter · MCQ
Q61.Two wires of same length and thickness having specific resistances 6 $Ω$ cm and 3 $Ω$ cm respectively are connected in parallel. The effective resistivity is $ρ Ω$ cm. The value of $ρ$ , to the nearest integer, is …
Physics · Current Electricity · Numerical
Q62.Consider a 72 cm long wire AB as shown in the figure. The galvanometer jockey is placed at P on AB at a distance x cm from A. The galvanometer shows zero deflection. The value of x, to the nearest integer, is . Includes diagram
Physics · Current Electricity · Numerical
Q63.A galaxy is moving away from the earth at a speed of 286 kms $-$ 1. The shift in the wavelength of a redline at 630 nm is x $\times$ 10 $-$ 10 m. The value of x, to the nearest integer, is . [Take the value of…
Physics · Wave Optics · Numerical
Q64.A ball of mass 4 kg, moving with a velocity of 10 ms $-$ 1, collides with a spring of length 8 m and force constant 100 Nm $-$ 1. The length of the compressed spring is x m. The value of x, to the nearest integer, is …
Physics · Work Power and Energy · Numerical
Q65.Consider a water tank as shown in the figure. It's cross-sectional area is 0.4 m2. The tank has an opening B near the bottom whose cross-section area is 1 cm2. A load of 24 kg is applied on the water at the top when the height of the water… Includes diagram
Physics · Properties of Matter · Numerical
Q66.The radius of a sphere is measured to be (7.50 $\pm$ 0.85) cm. Suppose the percentage error in its volume is x. The value of x, to the nearest x, is .
Physics · Units and Measurements · Numerical
Q67.The projectile motion of a particle of mass 5 g is shown in the figure. The initial velocity of the particle is $52$ ms-1 and the air resistance is assumed to be negligible. The magnitude of the change in momentum between the points… Includes diagram
Physics · Center of Mass · Numerical
Q68.An infinite number of point charges, each carrying 1 $μ$ C charge, are placed along the y-axis at y = 1 m, 2 m, 4 m, 8 m ............... The total force on a 1C point charge, placed at the origin, is x $\times$ 103 N. The value of x, to…
Physics · Electrostatics · Numerical