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2021 · 27 Jul · Shift 1

72 questions · JEE Main

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2021 · 27 Jul · Shift 1

2021 · 27 Jul · Shift 1

72 questions · JEE Main

Chemistry22 questions Mathematics25 questions Physics25 questions

Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Redox ReactionsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Coordination CompoundsChemistry · 3 questions HydrocarbonsChemistry · 1 questions BiomoleculesChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions SolutionsChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions StatisticsMathematics · 1 questions Vector AlgebraMathematics · 2 questions Definite IntegrationMathematics · 3 questions Complex NumbersMathematics · 1 questions Area Under the CurvesMathematics · 1 questions EllipseMathematics · 1 questions Binomial TheoremMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Matrices and DeterminantsMathematics · 3 questions Limits Continuity and DifferentiabilityMathematics · 3 questions Differential EquationsMathematics · 2 questions CircleMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions ProbabilityMathematics · 1 questions Sequences and SeriesMathematics · 1 questions FunctionsMathematics · 1 questions Current ElectricityPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Rotational MotionPhysics · 2 questions Center of MassPhysics · 1 questions CapacitorPhysics · 3 questions Wave OpticsPhysics · 1 questions Vector AlgebraPhysics · 1 questions Properties of MatterPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Alternating CurrentPhysics · 2 questions ElectrostaticsPhysics · 1 questions Units and MeasurementsPhysics · 1 questions GravitationPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions

Q1.Which one of the following compounds will give orange precipitate when treated with 2, 4-dinitrophenyl hydrazine?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q2.The oxidation states of 'P' in $H_{4} P_{2} O_{7}$ , $H_{4} P_{2} O_{5}$ and $H_{4} P_{2} O_{6}$ , respectively, are :
Chemistry · Redox Reactions · MCQ
Q3.For a reaction of order n, the unit of the rate constant is :
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q4.Given below are two statements : Statement I : Aniline is less basic than acetamide. Statement II : In aniline, the lone pair of electrons on nitrogen atom is delocalized over benzene ring due to resonance and hence less available to a…
Chemistry · Compounds Containing Nitrogen · MCQ
Q5.The type of hybridisation and magnetic property of the complex $[M n C l_{6}]^{3 -}$ , respectively, are :
Chemistry · Coordination Compounds · MCQ
Q6.The number of geometrical isomers found in the metal complexes $[P tC l_{2} (N H_{3})_{2}]$ , $[N i (C O)_{4}]$ , $[R u (H_{2} O)_{3} C l_{3}$ and $[C o C l_{2} (N H_{3})_{4}]^{+}$ respectively, are :
Chemistry · Coordination Compounds · MCQ
Q7.Presence of which reagent will affect the reversibility of the following reaction, and change it to a irreversible reaction : $C H_{4}$ + $I_{2}$ $$\mathrel{\mathop{\kern0pt\rightleftharpoons} \limits_{{\mathop{\rm Re} olimits}…
Chemistry · Hydrocarbons · MCQ
Q8.Which one among the following chemical tests is used to distinguish monosaccharide from disaccharide?
Chemistry · Biomolecules · MCQ
Q9.Consider the above reaction and identify the Product P : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q10.The compound 'A' is a complementary base of in DNA stands. Includes diagram
Chemistry · Biomolecules · MCQ
Q11.Staggered and eclipsed conformers of ethane are :
Chemistry · Basics of Organic Chemistry · MCQ
Q12.Match List - I with List - II : Choose the most appropriate answer from the options given below Includes table
Chemistry · Periodic Table and Periodicity · MCQ
Q13.The correct order of stability of given carbocation is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q14.The density of $N a O H$ solution is 1.2 g cm $-$ 3. The molality of this solution is m. (Round off to the Nearest Integer) [Use : Atomic mass : Na : 23.0 u, O : 16.0 u, H : 1.0 u, Density of $H_{2} O$ : 1.0 g cm $-$ 3]
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q15.The conductivity of a weak acid HA of concentration 0.001 mol L $-$ 1 is 2.0 $\times$ 10 $-$ 5 S cm $-$ 1. If $Λ_{m}^{o}$ (HA) = 190 S cm2 mol $-$ 1, the ionization constant (Ka) of HA is equal to $\times$ 10 $-$ …
Chemistry · Electrochemistry · Numerical
Q16.1.46 g of a biopolymer dissolved in a 100 mL water at 300 K exerted an osmotic pressure of 2.42 $\times$ 10 $-$ 3 bar. The molar mass of the biopolymer is $\times$ 104 g mol $-$ 1. (Round off to the Nearest Integer)…
Chemistry · Solutions · Numerical
Q17.An organic compound is subjected to chlorination to get compound A using 5.0 g of chlorine. When 0.5 g of compound A is reacted with $A g N O_{3}$ [Carius Method], the percentage of chlorine in compound A is when it…
Chemistry · Practical Organic Chemistry · Numerical
Q18.The number of geometrical isomers possible in triamminetrinitrocobalt (III) is X and in trioxalatochromate (III) is Y. Then the value of X + Y is .
Chemistry · Coordination Compounds · Numerical
Q19.In gaseous triethyl amine the " $-$ C $-$ N $-$ C $-$ " bond angle is degree.
Chemistry · Compounds Containing Nitrogen · Numerical
Q20.For water at 100 $^{\circ}$ C and 1 bar, $Δ$ vap H $- Δ$ vap U = $\times$ 102 J mol $-$ 1. (Round off to the Nearest Integer) [Use : R = 8.31 J mol $-$ 1 K $-$ 1] [Assume volume of $H_{2} O (l)$ is much smaller…
Chemistry · Thermodynamics · Numerical
Q21. $P C l_{5}$ $⇌$ $P C l_{3}$ + $C l_{2}$ Kc = 1.844 3.0 moles of $P C l_{5}$ is introduced in a 1 L closed reaction vessel at 380 K. The number of moles of $P C l_{5}$ at equilibrium is $\times$ 10 $-$ 3. (Round…
Chemistry · Chemical Equilibrium · Numerical
Q22.The difference between bond orders of CO and NO $^{\oplus}$ is $\frac{x}{2}$ where x = . (Round off to the Nearest Integer)
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q23.If the mean and variance of the following data : 6, 10, 7, 13, a, 12, b, 12 are 9 and $\frac{37}{4}$ respectively, then (a $-$ b)2 is equal to :
Mathematics · Statistics · MCQ
Q24.Let $a = i + j + 2 k$ and $b = - i + 2 j + 3 k$ . Then the vector product $(a + b) \times ((a \times ((a - b) \times b)) \times b)$ …
Mathematics · Vector Algebra · MCQ
Q25.The value of the definite integral $- \frac{π}{4} \int \frac{π}{4} \frac{d x}{( 1 + e ^{x c o s x} ) ( s i n ^{4} x + c o s ^{4} x )}$ is equal to :
Mathematics · Definite Integration · MCQ
Q26.Let C be the set of all complex numbers. Let $S_{1} = {z \in C ∣∣ z - 3 - 2 i ∣^{2} = 8}$ $S_{2} = {z \in C ∣ Re o l imi t s (z) \geq 5}$ and $S_{3} = {z \in C ∣∣ z - \overline{z} ∣ \geq 8}$ . Then the number of elements in $S_{1} \cap S_{2} \cap S_{3}$ …
Mathematics · Complex Numbers · MCQ
Q27.If the area of the bounded region $R = {(x, y) : max {0, lo g_{e} x} \leq y \leq 2^{x}, \frac{1}{2} \leq x \leq 2}$ is , $α (lo g_{e} 2)^{- 1} + β (lo g_{e} 2) + γ$ , then the value of $(α + β - 2 λ)^{2}$ …
Mathematics · Area Under the Curves · MCQ
Q28.A ray of light through (2, 1) is reflected at a point P on the y-axis and then passes through the point (5, 3). If this reflected ray is the directrix of an ellipse with eccentricity $\frac{1}{3}$ and the distance of the nearer focus from…
Mathematics · Ellipse · MCQ
Q29.If the coefficients of x7 in $(x^{2} + \frac{1}{b x})^{11}$ and x $-$ 7 in $(x - \frac{1}{b x ^{2}})^{11}$ , b $e$ 0, are equal, then the value of b is equal to :
Mathematics · Binomial Theorem · MCQ
Q30.If $sin θ + cos θ = \frac{1}{2}$ , then 16(sin(2 $θ$ ) + cos(4 $θ$ ) + sin(6 $θ$ )) is equal to :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q31.Let $A = [1 - 1 24]$ . If A $-$ 1 = $α$ I + $β$ A, $α$ , $β \in$ R, I is a 2 $\times$ 2 identity matrix then 4( $α - β$ ) is equal to :
Mathematics · Matrices and Determinants · MCQ
Q32.Let $f : (- \frac{π}{4}, \frac{π}{4}) \to R$ be defined as $f (x) = ⎩ ⎨ ⎧ (1 + ∣ sin x ∣)^{\frac{3 a}{∣ s i n x ∣}} b e^{c o t 4 x / c o t 2 x},,, - \frac{π}{4} < x < 0 x = 0 0 < x < \frac{π}{4}$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q33.Let y = y(x) be solution of the differential equation $lo g (\frac{d y}{d x}) = 3 x + 4 y$ , with y(0) = 0. If $y (- \frac{2}{3} lo g_{e} 2) = α lo g_{e} 2$ , then the value of $α$ is equal…
Mathematics · Differential Equations · MCQ
Q34.Let f : R $\to$ R be a function such that f(2) = 4 and f'(2) = 1. Then, the value of $x \to 2 lim \frac{x ^{2} f ( 2 ) - 4 f ( x )}{x - 2}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q35.Let P and Q be two distinct points on a circle which has center at C(2, 3) and which passes through origin O. If OC is perpendicular to both the line segments CP and CQ, then the set {P, Q} is equal to :
Mathematics · Circle · MCQ
Q36.Let $α$ , $β$ be two roots of the equation x2 + (20)1/4x + (5)1/2 = 0. Then $α$ 8 + $β$ 8 is equal to
Mathematics · Quadratic Equation and Inequalities · MCQ
Q37.The probability that a randomly selected 2-digit number belongs to the set {n $\in$ N : (2n $-$ 2) is a multiple of 3} is equal to :
Mathematics · Probability · MCQ
Q38.Let $A = {(x, y) \in R \times R ∣2 x^{2} + 2 y^{2} - 2 x - 2 y = 1}$ , $B = {(x, y) \in R \times R ∣4 x^{2} + 4 y^{2} - 16 y + 7 = 0}$ and $C = {(x, y) \in R \times R ∣ x^{2} + y^{2} - 4 x - 2 y + 5 \leq r^{2}}$ . Then the minimum value of |r|…
Mathematics · Circle · MCQ
Q39.For real numbers $α$ and $β$ , consider the following system of linear equations : x + y $-$ z = 2, x + 2y + $α$ z = 1, 2x $-$ y + z = $β$ . If the system has infinite solutions, then $α$ + $β$ is equal to …
Mathematics · Matrices and Determinants · Numerical
Q40.Let $a = i + j + k, b$ and $c = j - k$ be three vectors such that $a \times b = c$ and $a . b = 1$ …
Mathematics · Vector Algebra · Numerical
Q41.If $lo g_{3} 2, lo g_{3} (2^{x} - 5), lo g_{3} (2^{x} - \frac{7}{2})$ are in an arithmetic progression, then the value of x is equal to .
Mathematics · Sequences and Series · Numerical
Q42.Let the domain of the function $f (x) = lo g_{4} (lo g_{5} (lo g_{3} (18 x - x^{2} - 77)))$ be (a, b). Then the value of the integral $a \int b \frac{s i n ^{3} x}{( s i n ^{3} x + s i n ^{3} ( a + b - x )} d x$ …
Mathematics · Definite Integration · Numerical
Q43.Let $f (x) = sin^{2} x 2 + sin^{2} x sin^{2} x - 2 + cos^{2} x cos^{2} x cos^{2} x cos 2 x cos 2 x 1 + cos 2 x, x \in [0, π]$ …
Mathematics · Matrices and Determinants · Numerical
Q44.Let $F : [3, 5] \to R$ be a twice differentiable function on (3, 5) such that $F (x) = e^{- x} 3 \int x (3 t^{2} + 2 t + 4 F^{'} (t)) d t$ . If $F^{'} (4) = \frac{α e ^{β} - 224}{( e ^{β} - 4 ) ^{2}}$ , then $α$ + $β$ is…
Mathematics · Definite Integration · Numerical
Q45.Let S = {1, 2, 3, 4, 5, 6, 7}. Then the number of possible functions f : S $\to$ S such that f(m . n) = f(m) . f(n) for every m, n $\in$ S and m . n $\in$ S is equal to .
Mathematics · Functions · Numerical
Q46.If $y = y (x), y \in [0, \frac{π}{2})$ is the solution of the differential equation $sec y \frac{d y}{d x} - sin (x + y) - sin (x - y) = 0$ , with y(0) = 0, then $5 y^{'} (\frac{π}{2})$ is equal to …
Mathematics · Differential Equations · Numerical
Q47.Let $f : [0, 3] \to R$ be defined by $f (x) = min {x - [x], 1 + [x] - x}$ where [x] is the greatest integer less than or equal to x. Let P denote the set containing all x $\in$ [0, 3] where f i discontinuous, and Q denote the set containing…
Mathematics · Limits Continuity and Differentiability · Numerical
Q48.In the given figure, a battery of emf E is connected across a conductor PQ of length 'l' and different area of cross-sections having radii r1 and r2 (r2 < r1). Choose the correct option as one moves from P to Q : Includes diagram
Physics · Current Electricity · MCQ
Q49.The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean kinetic energy 2 $\times$ 10 $-$ 9 J per molecules is :
Physics · Heat and Thermodynamics · MCQ
Q50.The relative permittivity of distilled water is 81. The velocity of light in it will be : (Given $μ$ r = 1)
Physics · Electromagnetic Waves · MCQ
Q51.Choose the correct answer from the options given below: Includes table
Physics · Rotational Motion · MCQ
Q52.Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The masses of A, B and C are m, 2m and 2m respectively. A moves towards B with a speed of 9 m/s and makes an elastic collision with it. Thereafter B… Includes diagram
Physics · Center of Mass · MCQ
Q53.A capacitor of capacitance C = 1 $μ$ F is suddenly connected to a battery of 100 volt through a resistance R = 100 $Ω$ . The time taken for the capacitor to be charged to get 50 V is : [Take ln 2 = 0.69] Includes diagram
Physics · Capacitor · MCQ
Q54.In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capacitor. The expression for the capacity of the said capacitor will be : (Given area of plate = A) Includes diagram
Physics · Capacitor · MCQ
Q55.The figure shows two solid discs with radius R and r respectively. If mass per unit area is same for both, what is the ratio of MI of bigger disc around axis AB (Which is $⊥$ to the plane of the disc and passing through its centre) of… Includes diagram
Physics · Rotational Motion · MCQ
Q56.In Young's double slit experiment, if the source of light changes from orange to blue then :
Physics · Wave Optics · MCQ
Q57.In the reported figure, there is a cyclic process ABCDA on a sample of 1 mol of a diatomic gas. The temperature of the gas during the process A $\to$ B and C $\to$ D are T1 and T2 (T1 > T2) respectively. Choose the correct option out of… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q58.Assertion A : If A, B, C, D are four points on a semi-circular are with centre at 'O' such that $A B = B C = C D$ , then $A B + A C + A D = 4 A O + O B + O C$ … Includes diagram
Physics · Vector Algebra · MCQ
Q59.A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of cross-sectional area 'a' is made just at its bottom side. The minimum coefficient of friction necessary to prevent sliding the vessel due to the… Includes diagram
Physics · Properties of Matter · MCQ
Q60.A particle starts executing simple harmonic motion (SHM) of amplitude 'a' and total energy E. At any instant, its kinetic energy is $\frac{3 E}{4}$ then its displacement 'y' is given by :
Physics · Simple Harmonic Motion · MCQ
Q61.Two capacitors of capacities 2C and C are joined in parallel and charged up to potential V. The battery is removed and the capacitor of capacity C is filled completely with a medium of dielectric constant K. The potential difference across…
Physics · Capacitor · MCQ
Q62.A ball is thrown up with a certain velocity so that it reaches a height 'h'. Find the ratio of the two different times of the ball reaching $\frac{h}{3}$ in both the directions.
Physics · Motion in A Straight Line · MCQ
Q63.A 0.07 H inductor and a 12 $Ω$ resistor are connected in series to a 220V, 50 Hz ac source. The approximate current in the circuit and the phase angle between current and source voltage are respectively. [Take $π$ as ${{22} \over…
Physics · Alternating Current · MCQ
Q64.Two identical tennis balls each having mass 'm' and charge 'q' are suspended from a fixed point by threads of length 'l'. What is the equilibrium separation when each thread makes a small angle ' $θ$ ' with the vertical?
Physics · Electrostatics · MCQ
Q65.Assertion A : If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gauge is 5 mm and there are 50 total divisions on circular scale, then least count is 0.001 cm. Reason R : Least Count = $\frac{P i t c h}{T o t a l d i v i s i o n s o n c i r c u l a r sc a l e}$ …
Physics · Units and Measurements · MCQ
Q66.Consider an electrical circuit containing a two way switch 'S'. Initially S is open and then T1 is connected to T2. As the current in R = 6 $Ω$ attains a maximum value of steady state level, T1 is disconnected from T2 and immediately… Includes diagram
Physics · Alternating Current · Numerical
Q67.Suppose two planets (spherical in shape) in radii R and 2R, but mass M and 9M respectively have a centre to centre separation 8 R as shown in the figure. A satellite of mass 'm' is projected from the surface of the planet of mass 'M'… Includes diagram
Physics · Gravitation · Numerical
Q68.In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5 $A o$ . If the speed of electron is 2.2 $\times$ 166 m/s, then the current associated with the electron will be …
Physics · Atoms and Nuclei · Numerical
Q69.A particle of mass 9.1 $\times$ 10 $-$ 31 kg travels in a medium with a speed of 106 m/s and a photon of a radiation of linear momentum 10 $-$ 27 kg m/s travels in vacuum. The wavelength of photon is times the…
Physics · Dual Nature of Radiation · Numerical
Q70.A prism of refractive index n1 and another prism of refractive index n2 are stuck together (as shown in the figure). n1 and n2 depend on $λ$ , the wavelength of light, according to the relation $n_{1} = 1.2 + \frac{10.8 \times 10 ^{- 14}}{λ ^{2}}$ … Includes diagram
Physics · Geometrical Optics · Numerical
Q71.A stone of mass 20 g is projected from a rubber catapult of length 0.1 m and area of cross section 10 $-$ 6 m2 stretched by an amount 0.04 m. The velocity of the projected stone is m/s. (Young's modulus of rubber…
Physics · Properties of Matter · Numerical
Q72.In a uniform magnetic field, the magnetic needle has a magnetic moment 9.85 $\times$ 10 $-$ 2 A/m2 and moment of inertia 5 $\times$ 10 $-$ 6 kg m2. If it performs 10 complete oscillations in 5 seconds then the magnitude of the magnetic…
Physics · Magnetic Properties of Matter · Numerical