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2021 · 18 Mar · Shift 1

73 questions · JEE Main

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2021 · 18 Mar · Shift 1

2021 · 18 Mar · Shift 1

73 questions · JEE Main

Chemistry24 questions Mathematics22 questions Physics27 questions

Compounds Containing NitrogenChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions D and F Block ElementsChemistry · 1 questions HydrocarbonsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Structure of AtomChemistry · 1 questions P Block ElementsChemistry · 1 questions Ionic EquilibriumChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions ThermodynamicsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 3 questions SolutionsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Straight Lines and Pair of Straight LinesMathematics · 3 questions Matrices and DeterminantsMathematics · 3 questions Indefinite IntegralsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Vector AlgebraMathematics · 1 questions Complex NumbersMathematics · 2 questions CircleMathematics · 1 questions FunctionsMathematics · 2 questions Permutations and CombinationsMathematics · 3 questions Quadratic Equation and InequalitiesMathematics · 1 questions Definite IntegrationMathematics · 1 questions StatisticsMathematics · 1 questions ElectrostaticsPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Rotational MotionPhysics · 1 questions MagneticsPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions Wave OpticsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Current ElectricityPhysics · 2 questions Alternating CurrentPhysics · 2 questions Geometrical OpticsPhysics · 1 questions GravitationPhysics · 1 questions Simple Harmonic MotionPhysics · 2 questions CapacitorPhysics · 2 questions Properties of MatterPhysics · 1 questions Motion in A PlanePhysics · 1 questions Center of MassPhysics · 1 questions Work Power and EnergyPhysics · 2 questions Laws of MotionPhysics · 1 questions

Q1.Considering the above reaction, X and Y respectively are : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q2.The ionic radius of $N a^{+}$ ions is 1.02 $A o$ . The ionic radii (in $A o$ ) of $M g^{2 +}$ and $A l^{3 +}$ , respectively, are
Chemistry · Periodic Table and Periodicity · MCQ
Q3.Reaction of Grignard reagent, $C_{2} H_{5} M g B r$ with $C_{8} H_{8} O$ followed by hydrolysis gives compound "A" which reacts instantly with Lucas reagent to give compound B, $C_{10} H_{13} C l$ . The Compound B is :
Chemistry · Haloalkanes and Haloarenes · MCQ
Q4.Reagent, 1-napthylamine and sulphanilic acid in acetic acid is used for the detection of
Chemistry · Practical Organic Chemistry · MCQ
Q5.A non-reducing sugar "A" hydrolyses to give two reducing mono saccharides. Sugar A is
Chemistry · Biomolecules · MCQ
Q6.Consider the above chemical reaction and identify product "A" Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q7.Match List - I with List - II Choose the most appropriate answer from the options given below : Includes table
Chemistry · D and F Block Elements · MCQ
Q8.Match List - I with List - II : List - I (Chemicals) (a) Alcoholic potassium hydroxide (b) Pd/ $B a S O_{4}$ (c) BHC (Benzene hexachloride) (d) Polyacetylene List - II (Use / Preparation / Constituent) (i) Electrodes in batteries (ii) Obtained…
Chemistry · Hydrocarbons · MCQ
Q9.Compound with molecular formula $C_{3} H_{6} O$ can show :
Chemistry · Basics of Organic Chemistry · MCQ
Q10.The correct structures of trans-[ $N i B r_{2} (P P h_{3})_{2}$ ] and meridonial-[ $C o (N H_{3})_{3} (N O_{2})_{3}$ ], respectively, are
Chemistry · Coordination Compounds · MCQ
Q11.A certain orbital has no angular nodes and two radial nodes. The orbital is :
Chemistry · Structure of Atom · MCQ
Q12.Considering the above chemical reaction, identify the product "X" : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q13.Match List - I with List - II Choose the most appropriate answer from the options given below : Includes table
Chemistry · P Block Elements · MCQ
Q14.Given below are two statements : One is labelled as Assertion A and the other labelled as reason R Assertion A : During the boiling of water having temporary hardness, $M g (H C O_{3})_{2}$ is converted to $M g C O_{3}$ . Reason R : The solubility…
Chemistry · Ionic Equilibrium · MCQ
Q15.AX is a covalent diatomic molecule where A and X are second row elements of periodic table. Based on Molecular orbital theory, the bond order of AX is 2.5. The total number of electrons in AX is . (Round off to…
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q16.In order to prepare a buffer solution of pH 5.74, sodium acetate is added to acetic acid. If the concentration of acetic acid in the buffer is 1.0 M, the concentration of sodium acetate in the buffer is M. (Round…
Chemistry · Ionic Equilibrium · Numerical
Q17.2NO(g) + Cl2(g) $⇌$ 2NOCl(s) This reaction was studied at $-$ 10 $^{\circ}$ and the following data was obtained $[N O]_{0}$ and $[C l_{2}]_{0}$ are the initial concentrations and r0 is the initial reaction rate. The overall… Includes table
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q18.For the reaction $C_{2} H_{6}$ $\to$ $C_{2} H_{4}$ + $H_{2}$ the reaction enthalpy $Δ$ rH = kJ mol $-$ 1. (Round off to the Nearest Integer). [ Given : Bond enthalpies in kJ mol $-$ 1 : C-C : 347, C = C : 611; C-H :…
Chemistry · Thermodynamics · Numerical
Q19. grams of 3-Hydroxy propanal (MW = 74) must be dehydrated to produce 7.8 g of acrolein (MW = 56) ( $C_{3} H_{4} O$ ) if the percentage yield is 64. (Round off to the Nearest Integer). [Given : Atomic masses : C : 12.0 u,…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q20.A reaction of 0.1 mole of Benzylamine with bromomethane gave 23 g of Benzyl trimethyl ammonium bromide. The number of moles of bromomethane consumed in this reaction are n $\times$ 10 $-$ 1, when n = . (Round off…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q21.The total number of unpaired electrons present in the complex $K_{3} [C r (o x a l a t e)_{3}]$ is .
Chemistry · Coordination Compounds · Numerical
Q22.2 molal solution of a weak acid HA has a freezing point of 3.885 $^{\circ}$ C. The degree of dissociation of this acid is $\times$ 10 $-$ 3. (Round off to the Nearest Integer). [Given : Molal depression constant of…
Chemistry · Solutions · Numerical
Q23.For the reaction 2 $F e^{3 +}$ (aq) + 2 $I$ $-$ (aq) $\to$ 2 $F e^{2 +}$ (aq) + $I_{2}$ (s) the magnitude of the standard molar Gibbs free energy change, $Δ$ rG $_{m}^{o}$ = $-$ kJ (Round off to the Nearest Integer). $[E_{F e^{2 +} / F e (s)}^{o} = - 0.440 V; E_{I_{2} /2 I^{-}}^{o} = 0.539 V; E_{F e^{3 +} / F e (s)}^{o} = - 0.036 V F = 96500 C]$ …
Chemistry · Electrochemistry · Numerical
Q24.Complete combustion of 3g of ethane gives x $\times$ 1022 molecules of water. The value of x is . (Round off to the Nearest Integer). [Use : NA = 6.023 $\times$ 1023; Atomic masses in u : C : 12.0; O : 16.0; H :…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q25.The number of integral values of m so that the abscissa of point of intersection of lines 3x + 4y = 9 and y = mx + 1 is also an integer, is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q26.The solutions of the equation $1 + sin^{2} x cos^{2} x 4 sin 2 x sin^{2} x 1 + cos^{2} x 4 sin 2 x sin^{2} x cos^{2} x 1 + 4 sin 2 x = 0, (0 < x < π)$ …
Mathematics · Matrices and Determinants · MCQ
Q27.Let $α$ , $β$ , $γ$ be the real roots of the equation, x3 + ax2 + bx + c = 0, (a, b, c $\in$ R and a, b $e$ 0). If the system of equations (in u, v, w) given by $α$ u + $β$ v + $γ$ w = 0, $β$ u + $γ$ v + $α$ …
Mathematics · Matrices and Determinants · MCQ
Q28.The integral $\int \frac{( 2 x - 1 ) c o s ( 2 x - 1 ) ^{2} + 5}{4 x ^{2} - 4 x + 6} d x$ is equal to (where c is a constant of integration)
Mathematics · Indefinite Integrals · MCQ
Q29.The equation of one of the straight lines which passes through the point (1, 3) and makes an angles $tan^{- 1} (2)$ with the straight line, y + 1 = 3 $2$ x is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q30.If $x \to 0 lim \frac{s i n ^{- 1} x - t a n ^{- 1} x}{3 x ^{3}}$ is equal to L, then the value of (6L + 1) is
Mathematics · Limits Continuity and Differentiability · MCQ
Q31.A vector $a$ has components 3p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to new system, $a$ …
Mathematics · Vector Algebra · MCQ
Q32.If the equation $a ∣ z ∣^{2} + \overline{\overline{α} z + α \overline{z}} + d = 0$ represents a circle where a, d are real constants then which of the following condition is correct?
Mathematics · Complex Numbers · MCQ
Q33.For the four circles M, N, O and P, following four equations are given : Circle M : x2 + y2 = 1 Circle N : x2 + y2 $-$ 2x = 0 Circle O : x2 + y2 $-$ 2x $-$ 2y + 1 = 0 Circle P : x2 + y2 $-$ 2y = 0 If the centre of circle M is joined with…
Mathematics · Circle · MCQ
Q34.The real valued function $f (x) = \frac{c o s e c ^{- 1} x}{x - [ x ]}$ , where [x] denotes the greatest integer less than or equal to x, is defined for all x belonging to :
Mathematics · Functions · MCQ
Q35.If the functions are defined as $f (x) = x$ and $g (x) = 1 - x$ , then what is the common domain of the following functions : f + g, f $-$ g, f/g, g/f, g $-$ f where $(f \pm g) (x) = f (x) \pm g (x), (f / g) x = \frac{f ( x )}{g ( x )}$
Mathematics · Functions · MCQ
Q36.If $f (x) = {\frac{1}{∣ x ∣} a x^{2} + b; ∣ x ∣ \geq 1; ∣ x ∣ < 1$ is differentiable at every point of the domain, then the values of a and b are respectively :
Mathematics · Limits Continuity and Differentiability · MCQ
Q37.Let $A + 2 B = 16 - 5 2 - 3 3 031$ and $2 A - B = 220 - 1 - 1 1 562$ …
Mathematics · Matrices and Determinants · MCQ
Q38.The sum of all the 4-digit distinct numbers that can be formed with the digits 1, 2, 2 and 3 is :
Mathematics · Permutations and Combinations · MCQ
Q39.The value of $3 + \frac{1}{4 + \frac{1}{3 + \frac{1}{4 + \frac{1}{3 + ....\infty}}}}$ is equal to
Mathematics · Quadratic Equation and Inequalities · MCQ
Q40.The number of times the digit 3 will be written when listing the integers from 1 to 1000 is :
Mathematics · Permutations and Combinations · Numerical
Q41.Let f(x) and g(x) be two functions satisfying f(x2) + g(4 $-$ x) = 4x3 and g(4 $-$ x) + g(x) = 0, then the value of $- 4 \int 4 f (x)^{2} d x$ is
Mathematics · Definite Integration · Numerical
Q42.The missing value in the following figure is Includes diagram
Mathematics · Permutations and Combinations · Numerical
Q43.Let z1, z2 be the roots of the equation z2 + az + 12 = 0 and z1, z2 form an equilateral triangle with origin. Then, the value of |a| is :
Mathematics · Complex Numbers · Numerical
Q44.The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If the mean age of the teachers in this school now is 39 years, then the age (in years) of the newly…
Mathematics · Statistics · Numerical
Q45.If $f (x) = \int \frac{5 x ^{8} + 7 x ^{6}}{( x ^{2} + 1 + 2 x ^{7} ) ^{2}} d x, (x \geq 0), f (0) = 0$ and $f (1) = \frac{1}{K}$ , then the value of K is
Mathematics · Indefinite Integrals · Numerical
Q46.A square ABCD has all its vertices on the curve x2y2 = 1. The midpoints of its sides also lie on the same curve. Then, the square of area of ABCD is .
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q47.An oil drop of radius 2 mm with a density 3g cm $-$ 3 is held stationary under a constant electric field 3.55 $\times$ 105 V m $-$ 1 in the Millikan's oil drop experiment. What is the number of excess electrons that the oil drop will…
Physics · Electrostatics · MCQ
Q48.Imagine that the electron in a hydrogen atom is replaced by a muon ( $μ$ ). The mass of muon particle is 207 times that of an electron and charge is equal to the charge of an electron. The ionization potential of this hydrogen atom will be…
Physics · Atoms and Nuclei · MCQ
Q49.A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the x-direction. At a particular point in space and time, $B = 2.0 \times 1 0^{- 8} k T$ . (where, $k$ is unit vector along…
Physics · Electromagnetic Waves · MCQ
Q50.A thin circular ring of mass M and radius r is rotating about its axis with an angular speed $ω$ . Two particles having mass m each are now attached at diametrically opposite points. The angular speed of the ring will become :
Physics · Rotational Motion · MCQ
Q51.Four identical long solenoids A, B, C and D are connected to each other as shown in the figure. If the magnetic field at the center of A is 3T, the field at the center of C would be : (Assume that the magnetic field is confined with in the… Includes diagram
Physics · Magnetics · MCQ
Q52.The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CD is (use $γ$ = 1.4) : Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q53.In Young's double slit arrangement, slits are separated by a gap of 0.5 mm, and the screen is placed at a distance of 0.5 m from them. The distance between the first and the third bright fringe formed when the slits are illuminated by a…
Physics · Wave Optics · MCQ
Q54.A particle is travelling 4 time as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle to that of electron is 2 : 1, the mass of the particle is :
Physics · Dual Nature of Radiation · MCQ
Q55.The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by :
Physics · Motion in A Straight Line · MCQ
Q56.In the experiment of Ohm's law, a potential difference of 5.0 V is applied across the end of a conductor of length 10.0 cm and diameter of 5.00 mm. The measured current in the conductor is 2.00 A. The maximum permissible percentage error…
Physics · Current Electricity · MCQ
Q57.In a series LCR resonance circuit, if we change the resistance only, from a lower to higher value :
Physics · Alternating Current · MCQ
Q58.An AC source rated 220 V, 50 Hz is connected to a resistor. The time taken by the current to change from its maximum to the rms value is :
Physics · Alternating Current · MCQ
Q59.Your friend is having eye sight problem. She is not able to see clearly a distant uniform window mesh and it appears to her as non-uniform and distorted. The doctor diagnosed the problem as :
Physics · Geometrical Optics · MCQ
Q60.A loop of flexible wire of irregular shape carrying current is placed in an external magnetic field. Identify the effect of the field on the wire.
Physics · Magnetics · MCQ
Q61.The time period of a satellite in a circular orbit of radius R is T. The period of another satellite in a circular orbit of radius 9R is :
Physics · Gravitation · MCQ
Q62.A particle performs simple harmonic motion with a period of 2 second. The time taken by the particle to cover a displacement equal to half of its amplitude from the mean position is $\frac{1}{a}$ s. The value of 'a' to the nearest integer…
Physics · Simple Harmonic Motion · Numerical
Q63.The circuit shown in the figure consists of a charged capacitor of capacity 3 $μ$ F and a charge of $μ$ C. At time t = 0, when the key is closed, the value of current flowing through the 5 M $Ω$ resistor is 'x' $μ$ -A. The value… Includes diagram
Physics · Capacitor · Numerical
Q64.The voltage across the 10 $Ω$ resistor in the given circuit is x volt. The value of 'x' to the nearest integer is . Includes diagram
Physics · Current Electricity · Numerical
Q65.Two separate wires A and B are stretched by 2 mm and 4 mm respectively, when they are subjected to a force of 2 N. Assume that both the wires are made up of same material and the radius of wire B is 4 times that of the radius of wire A.…
Physics · Properties of Matter · Numerical
Q66.A person is swimming with a speed of 10 m/s at an angle of 120 $^{\circ}$ with the flow and reaches to a point directly opposite on the other side of the river. The speed of the flow is 'x' m/s. The value of 'x' to the nearest integer is …
Physics · Motion in A Plane · Numerical
Q67.A parallel plate capacitor has plate area 100 m2 and plate separation of 10 m. The space between the plates is filled up to a thickness 5 m with a material of dielectric constant of 10. The resultant capacitance of the system is 'x' pF.…
Physics · Capacitor · Numerical
Q68.A ball of mass 10 kg moving with a velocity 10 $3$ m/s along the x-axis, hits another ball of mass 20 kg which is at rest. After the collision, first ball comes to rest while the second ball disintegrates into two equal pieces. One… Includes diagram
Physics · Center of Mass · Numerical
Q69.As shown in the figure, a particle of mass 10 kg is placed at a point A. When the particle is slightly displaced to its right, it starts moving and reaches the point B. The speed of the particle at B is x m/s. (Take g = 10 m/s2) The value… Includes diagram
Physics · Work Power and Energy · Numerical
Q70.A bullet of mass 0.1 kg is fired on a wooden block to pierce through it, but it stops after moving a distance of 50 cm into it. If the velocity of bullet before hitting the wood is 10 m/s and it slows down with uniform deceleration, then…
Physics · Laws of Motion · Numerical
Q71.The time period of a simple pendulum is given by $T = 2 π \frac{l}{g}$ . The measured value of the length of pendulum is 10 cm known to a 1mm accuracy. The time for 200 oscillations of the pendulum is found to be 100 second using a…
Physics · Simple Harmonic Motion · MCQ
Q72.A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time 't' is proportional to :-
Physics · Work Power and Energy · MCQ
Q73.What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature T? (kB is Boltzmann constant)
Physics · Heat and Thermodynamics · MCQ