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2021 · 26 Feb · Shift 2

75 questions · JEE Main

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2021 · 26 Feb · Shift 2

2021 · 26 Feb · Shift 2

75 questions · JEE Main

Chemistry25 questions Mathematics22 questions Physics28 questions

Chemical Bonding and Molecular StructureChemistry · 1 questions Alcohols Phenols and EthersChemistry · 2 questions HydrocarbonsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions P Block ElementsChemistry · 1 questions Structure of AtomChemistry · 2 questions Periodic Table and PeriodicityChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 4 questions BiomoleculesChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions D and F Block ElementsChemistry · 1 questions ThermodynamicsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Limits Continuity and DifferentiabilityMathematics · 3 questions CircleMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Permutations and CombinationsMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Definite IntegrationMathematics · 3 questions FunctionsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 1 questions Sequences and SeriesMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Complex NumbersMathematics · 1 questions StatisticsMathematics · 1 questions Application of DerivativesMathematics · 1 questions Electronic DevicesPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions Alternating CurrentPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions ElectrostaticsPhysics · 3 questions Units and MeasurementsPhysics · 1 questions Dual Nature of RadiationPhysics · 2 questions Current ElectricityPhysics · 1 questions Geometrical OpticsPhysics · 3 questions Heat and ThermodynamicsPhysics · 3 questions Properties of MatterPhysics · 1 questions Motion in A PlanePhysics · 1 questions Laws of MotionPhysics · 1 questions Rotational MotionPhysics · 1 questions Simple Harmonic MotionPhysics · 4 questions WavesPhysics · 1 questions GravitationPhysics · 1 questions

Q1.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.Ceric ammonium nitrate and $C H C l_{3}$ /alc. $K O H$ are used for the identification of functional groups present in and respectively.
Chemistry · Alcohols Phenols and Ethers · MCQ
Q3.In $C 1 H_{2} = C 2 = C 3 H - C 4 H_{3}$ molecule, the hybridization of carbon 1, 2, 3 and 4 respectively, are :
Chemistry · Hydrocarbons · MCQ
Q4.A. Phenyl methanamine B. N,N-Dimethylaniline C. N-Methyl aniline D. Benzenamine Choose the correct order of basic nature of the above amines.
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 : In $T l I_{3}$ , isomorphous to $C s I_{3}$ , the metal is present in +1 oxidation state. Reason R : $T l$ metal has fourteen $f$ …
Chemistry · P Block Elements · MCQ
Q6.Which of the following forms of hydrogen emits low energy $β$ - particles?
Chemistry · Structure of Atom · MCQ
Q7.Which pair of oxides is acidic in nature?
Chemistry · Periodic Table and Periodicity · MCQ
Q8.Identify A in the given reaction. Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q9.Match List - I with List - II. Choose the correct answer from the options given below : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q10.Identify A in the following chemical reaction. Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q11.2, 4-DNP test can be used to identify :
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q12.Considering the above reaction, the major product among the following is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q13.Identify A in the given chemical reaction. Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q14.The correct order of electron gain enthalpy is :
Chemistry · Periodic Table and Periodicity · MCQ
Q15.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Chemistry · Biomolecules · MCQ
Q16.Seliwanoff test and Xanthoproteic test are used for the identification of and respectively.
Chemistry · Practical Organic Chemistry · MCQ
Q17.When 12.2 g of benzoic acid is dissolved in 100 g of water, the freezing point of solution was found to be $-$ 0.93 $^{\circ}$ C (Kf( $H_{2} O$ ) = 1.86 K kg mol $-$ 1). The number (n) of benzoic acid molecules associated (assuming 100%…
Chemistry · Solutions · Numerical
Q18.If the activation energy of a reaction is 80.9 kJ mol $-$ 1, the fraction of molecules at 700 K, having enough energy to react to form products is e $-$ x. The value of x is . (Rounded off to the nearest integer)…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q19.In mildly alkaline medium, thiosulphate ion is oxidized by $M n O_{4}^{-}$ to "A". The oxidation state of sulphur in "A" is .
Chemistry · D and F Block Elements · Numerical
Q20.The average S-F bond energy in kJ mol $-$ 1 of $S F_{6}$ is . (Rounded off to the nearest integer) [Given : The values of standard enthalpy of formation of $S F_{6}$ (g), S(g) and F(g) are - 1100, 275 and 80 kJ mol $-$ 1…
Chemistry · Thermodynamics · Numerical
Q21.Emf of the following cell at 298K in V is x $\times$ 10 $-$ 2. $Z n$ | $Z n^{2 +}$ (0.1 M)|| $A g^{+}$ (0.01 M)| $A g$ The value of x is . (Rounded off to the nearest integer) [Given : $E_{Z n^{2 +} / Z n}^{θ} = - 0.76 V; E_{A g^{2 +} / A g}^{θ} = + 0.80 V; \frac{2.303 R T}{F} = 0.059$ …
Chemistry · Electrochemistry · Numerical
Q22.The pH of ammonium phosphate solution, if pka of phosphoric acid and pkb of ammonium hydroxide are 5.23 and 4.75 respectively, is .
Chemistry · Ionic Equilibrium · Numerical
Q23.The number of stereoisomers possible for $[C o (o x)_{2} (B r) (N H_{3})]^{2 -}$ is . [ox = oxalate]
Chemistry · Coordination Compounds · Numerical
Q24.A ball weighing 10 g is moving with a velocity of 90 ms $-$ 1. If the uncertainty in its velocity is 5%, then the uncertainty in its position is $\times$ 10 $-$ 33 m. (Rounded off to the nearest integer) [Given : h…
Chemistry · Structure of Atom · Numerical
Q25.The $N a N O_{3}$ weighed out to make 50 mL of an aqueous solution containing 70.0 mg $N a^{+}$ per mL is g. (Rounded off to the nearest integer) [Given : Atomic weight in g mol $-$ 1 - $N a$ : 23; N : 14; O : 16]
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q26.Let f(x) be a differentiable function at x = a with f'(a) = 2 and f(a) = 4. Then $x \to a lim \frac{x f ( a ) - a f ( x )}{x - a}$ equals :
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.Let A(1, 4) and B(1, $-$ 5) be two points. Let P be a point on the circle (x $-$ 1)2 + (y $-$ 1)2 = 1 such that (PA)2 + (PB)2 have maximum value, then the points, P, A and B lie on :
Mathematics · Circle · MCQ
Q28.Consider the following system of equations : x + 2y $-$ 3z = a 2x + 6y $-$ 11z = b x $-$ 2y + 7z = c, where a, b and c are real constants. Then the system of equations :
Mathematics · Matrices and Determinants · MCQ
Q29.A natural number has prime factorization given by n = 2x3y5z, where y and z are such that y + z = 5 and y $-$ 1 + z $-$ 1 = $\frac{5}{6}$ , y > z. Then the number of odd divisions of n, including 1, is :
Mathematics · Permutations and Combinations · MCQ
Q30.If 0 < a, b < 1, and tan $-$ 1a + tan $-$ 1b = $\frac{π}{4}$ , then the value of $(a + b) - (\frac{a ^{2} + b ^{2}}{2}) + (\frac{a ^{3} + b ^{3}}{3}) - (\frac{a ^{4} + b ^{4}}{4}) + .....$ …
Mathematics · Inverse Trigonometric Functions · MCQ
Q31.Let $f (x) = 0 \int x e^{t} f (t) d t + e^{x}$ be a differentiable function for all x $\in$ R. Then f(x) equals :
Mathematics · Definite Integration · MCQ
Q32.For x > 0, if $f (x) = 1 \int x \frac{l o g _{e} t}{( 1 + t )} d t$ , then $f (e) + f (\frac{1}{e})$ is equal to :
Mathematics · Definite Integration · MCQ
Q33.Let $A = {1, 2, 3, ...., 10}$ and $f : A \to A$ be defined as $f (k) = {k + 1 k i f k i s o dd i f k i s e v e n$ Then the number of possible functions $g : A \to A$ such that…
Mathematics · Functions · MCQ
Q34.Let A1 be the area of the region bounded by the curves y = sinx, y = cosx and y-axis in the first quadrant. Also, let A2 be the area of the region bounded by the curves y = sinx, y = cosx, x-axis and x = $\frac{π}{2}$ in the first…
Mathematics · Area Under the Curves · MCQ
Q35.Let $f (x) = sin^{- 1} x$ and $g (x) = \frac{x ^{2} - x - 2}{2 x ^{2} - x - 6}$ . If $g (2) = x \to 2 lim g (x)$ , then the domain of the function fog is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q36.Let $f : R \to R$ be defined as $f (x) = ⎩ ⎨ ⎧ 2 sin (- \frac{π x}{2}) ∣ a x^{2} + x + b ∣ sin (π x) if x < - 1 if - 1 \leq x \leq 1 if x > 1$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q37.If the locus of the mid-point of the line segment from the point (3, 2) to a point on the circle, x2 + y2 = 1 is a circle of radius r, then r is equal to :
Mathematics · Circle · MCQ
Q38.If vectors $a_{1} = x i - j + k$ and $a_{2} = i + y j + z k$ are collinear, then a possible unit vector parallel to the vector $x i + y j + z k$ …
Mathematics · Vector Algebra · MCQ
Q39.A seven digit number is formed using digits 3, 3, 4, 4, 4, 5, 5. The probability, that number so formed is divisible by 2, is :
Mathematics · Probability · MCQ
Q40.The total number of 4-digit numbers whose greatest common divisor with 18 is 3, is .
Mathematics · Sequences and Series · Numerical
Q41.If the matrix $A = 103020 00 - 1$ satisfies the equation $A^{20} + α A^{19} + β A = 100040001$ …
Mathematics · Matrices and Determinants · Numerical
Q42.Let $α$ and $β$ be two real numbers such that $α$ + $β$ = 1 and $α β$ = $-$ 1. Let pn = ( $α$ )n + ( $β$ )n, pn $-$ 1 = 11 and pn+1 = 29 for some integer n $\geq$ 1. Then, the value of p $_{n}^{2}$ is …
Mathematics · Quadratic Equation and Inequalities · Numerical
Q43.Let z be those complex numbers which satisfy | z + 5 | $\leq$ 4 and z(1 + i) + $\overline{z}$ (1 $-$ i) $- 1$ 10, i = $- 1$ . If the maximum value of | z + 1 |2 is $α$ + $β 2$ , then the value of ( $α$ + $β$ ) is …
Mathematics · Complex Numbers · Numerical
Q44.If the arithmetic mean and geometric mean of the pth and qth terms of the sequence $-$ 16, 8, $-$ 4, 2, ...... satisfy the equation 4x2 $-$ 9x + 5 = 0, then p + q is equal to .
Mathematics · Sequences and Series · Numerical
Q45.If $I_{m, n} = 0 \int 1 x^{m - 1} (1 - x)^{n - 1} d x$ , for m, $n \geq 1$ , and $0 \int 1 \frac{x ^{m - 1} + x ^{n - 1}}{( 1 + x ) ^{m + 1}} d x = α I_{m, n} α \in R$ , then $α$ equals …
Mathematics · Definite Integration · Numerical
Q46.Let X1, X2, ......., X18 be eighteen observations such that $i = 1 \sum 18 (X_{i} - α) = 36$ and $i = 1 \sum 18 (X_{i} - β)^{2} = 90$ , where $α$ and $β$ are distinct real numbers. If the…
Mathematics · Statistics · Numerical
Q47.Let a be an integer such that all the real roots of the polynomial 2x5 + 5x4 + 10x3 + 10x2 + 10x + 10 lie in the interval (a, a + 1). Then, |a| is equal to .
Mathematics · Application of Derivatives · Numerical
Q48.Draw the output signal Y in the given combination of gates. Includes diagram
Physics · Electronic Devices · MCQ
Q49.An aeroplane, with its wings spread 10 m, is flying at a speed of 180 km/h in a horizontal direction. The total intensity of earth's field at that part is 2.5 $\times$ 10 $-$ 4 Wb/m2 and the angle of dip is 60 $^{\circ}$ . The emf induced…
Physics · Electromagnetic Induction · MCQ
Q50.Find the peak current and resonant frequency of the following circuit (as shown in figure). Includes diagram
Physics · Alternating Current · MCQ
Q51.A scooter accelerates from rest for time t1 at constant rate a1 and then retards at constant rate a2 for time t2 and comes to rest. The correct value of $\frac{t _{1}}{t _{2}}$ wil be :
Physics · Motion in A Straight Line · MCQ
Q52.Given below are two statements: Statement I : An electric dipole is placed at the center of a hollow sphere. The flux of the electric field through the sphere is zero but the electric field is not zero anywhere in the sphere. Statement II…
Physics · Electrostatics · MCQ
Q53.If 'C' and 'V' represent capacity and voltage respectively then what are the dimensions of $λ$ where C/V = $λ$ ?
Physics · Units and Measurements · MCQ
Q54.The recoil speed of a hydrogen atom after it emits a photon in going from n = 5 state to n = 1 state will be :
Physics · Dual Nature of Radiation · MCQ
Q55.A wire of 1 $Ω$ has a length of 1 m. It is stretched till its length increases by 25%. The percentage change in resistance to the nearest integer is :
Physics · Current Electricity · MCQ
Q56.The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors $a$ , $b$ and $c$ respectively. Then choose the correct relation for these vectors.
Physics · Geometrical Optics · MCQ
Q57.The internal energy (U), pressure (P) and volume (V) of an ideal gas are related as U $=$ 3PV + 4. The gas is :
Physics · Heat and Thermodynamics · MCQ
Q58.The length of metallic wire is l1 when tension in it is T1. It is l2 when the tension is T2. The original length of the wire will be :
Physics · Properties of Matter · MCQ
Q59.The trajectory of a projectile in a vertical plane is y = $α$ x $- β$ x2, where $α$ and $β$ are constants and x & y are respectively the horizontal and vertical distances of the projectile from the point of projection.…
Physics · Motion in A Plane · MCQ
Q60.Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason R. Assertion A : For a simple microscope, the angular size of the object equals the angular size of the image. Reason R : Magnification is…
Physics · Geometrical Optics · MCQ
Q61.An inclined plane making an angle of 30 $^{\circ}$ with the horizontal is placed in a uniform horizontal electric field $200 \frac{N}{C}$ as shown in the figure. A body of mass 1 kg and charge 5 mC is allowed to slide down from rest at a… Includes diagram
Physics · Electrostatics · MCQ
Q62.Two masses A and B, each of mass M are fixed together by a massless spring. A force acts on the mass B as shown in the figure. If the mass A starts moving away from mass B with acceleration 'a', then the acceleration of mass B will be : Includes diagram
Physics · Laws of Motion · MCQ
Q63.A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and the moment of inertia about it is I. A weight mg is attached to the cord at the end. The weight falls from rest. After falling through a…
Physics · Rotational Motion · MCQ
Q64.A particle executes S.H.M., the graph of velocity as a function of displacement is :
Physics · Simple Harmonic Motion · MCQ
Q65.A tuning fork A of unknown frequency produces 5 beats/s with a fork of known frequency 340 Hz. When fork A is filed, the beat frequency decreases to 2 beats/s. What is the frequency of fork A?
Physics · Waves · MCQ
Q66.Given below are two statements : Statement I : A second's pendulum has a time period of 1 second. Statement II : It takes precisely one second to move between the two extreme positions. In the light of the above statements, choose the…
Physics · Simple Harmonic Motion · MCQ
Q67.1 mole of rigid diatomic gas performs a work of $\frac{Q}{5}$ when heat Q is supplied to it. The molar heat capacity of the gas during this transformation is $\frac{x R}{8}$ . The value of x is . [R = universal gas…
Physics · Heat and Thermodynamics · Numerical
Q68.A particle executes S.H.M. with amplitude 'a', and time period 'T'. The displacement of the particle when its speed is half of maximum speed is $\frac{x a}{2}$ . The value of x is .
Physics · Simple Harmonic Motion · Numerical
Q69.Time period of a simple pendulum is T. The time taken to complete $\frac{5}{8}$ oscillations starting from mean position is $\frac{α}{β} T$ . The value of $α$ is .
Physics · Simple Harmonic Motion · Numerical
Q70.The zener diode has a Vz = 30V. The current passing through the diode for the following circuit is mA. Includes diagram
Physics · Electronic Devices · Numerical
Q71.The volume V of a given mass of monoatomic gas changes with temperature T according to the relation $V = K T^{\frac{2}{3}}$ . The workdone when temperature changes by 90K will be xR. The value of x is . [R =…
Physics · Heat and Thermodynamics · Numerical
Q72.27 similar drops of mercury are maintained at 10V each. All these spherical drops combine into a single big drop. The potential energy of the bigger drop is times that of a smaller drop.
Physics · Electrostatics · Numerical
Q73.A point source of light S, placed at a distance 60cm in front of the centre of a plane mirror of width 50 cm, hangs vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror at a distance 1.2 m from it… Includes diagram
Physics · Geometrical Optics · Numerical
Q74.In the reported figure of earth, the value of acceleration due to gravity is same at point A and C but it is smaller than that of its value at point B (surface of the earth). The value of OA : AB will be x : y. The value of x is … Includes diagram
Physics · Gravitation · Numerical
Q75.Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective…
Physics · Dual Nature of Radiation · Numerical