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2022 · 28 Jun · Shift 2

77 questions · JEE Main

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2022 · 28 Jun · Shift 2

2022 · 28 Jun · Shift 2

77 questions · JEE Main

Chemistry21 questions Mathematics28 questions Physics28 questions

Some Basic Concepts of ChemistryChemistry · 2 questions Structure of AtomChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Periodic Table and PeriodicityChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Redox ReactionsChemistry · 1 questions Sets and RelationsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Sequences and SeriesMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 3 questions Definite IntegrationMathematics · 2 questions Area Under the CurvesMathematics · 1 questions Differential EquationsMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions HyperbolaMathematics · 1 questions Vector AlgebraMathematics · 2 questions ParabolaMathematics · 1 questions ProbabilityMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions 3D GeometryMathematics · 1 questions StatisticsMathematics · 1 questions CircleMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Complex NumbersMathematics · 1 questions FunctionsMathematics · 1 questions Units and MeasurementsPhysics · 2 questions Rotational MotionPhysics · 3 questions Laws of MotionPhysics · 1 questions GravitationPhysics · 2 questions Properties of MatterPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions ElectrostaticsPhysics · 1 questions Current ElectricityPhysics · 2 questions Magnetic Properties of MatterPhysics · 1 questions MagneticsPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Wave OpticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Electronic DevicesPhysics · 2 questions Alternating CurrentPhysics · 1 questions CapacitorPhysics · 1 questions WavesPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions

Q1.Compound A contains 8.7% Hydrogen, 74% Carbon and 17.3% Nitrogen. The molecular formula of the compound is, Given : Atomic masses of C, H and N are 12, 1 and 14 amu respectively. The molar mass of the compound A is 162 g mol $-$ 1.
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q2.Consider the following statements : (A) The principal quantum number 'n' is a positive integer with values of 'n' = 1, 2, 3, ... (B) The azimuthal quantum number 'l' for a given 'n' (principal quantum number) can have values as 'l' = 0, 1,…
Chemistry · Structure of Atom · MCQ
Q3.In the structure of $S F_{4}$ , the lone pair of electrons on S is in.
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q4.A student needs to prepare a buffer solution of propanoic acid and its sodium salt with pH 4. The ratio of $\frac{[ C H _{3} C H _{2} C O O ^{-} ]}{[ C H _{3} C H _{2} C O O H ]}$ required to make buffer is . Given : $K_{a} (C H_{3} C H_{2} C O O H) = 1.3 \times 1 0^{- 5}$ …
Chemistry · Ionic Equilibrium · MCQ
Q5.Match List - I with List - II : Choose the correct answer from the options given below : Includes table
Chemistry · Periodic Table and Periodicity · MCQ
Q6.Among the following, basic oxide is :
Chemistry · Periodic Table and Periodicity · MCQ
Q7.The correct IUPAC name of the following compound is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q8.The major product (P) of the given reaction is (where, Me is $-$ $C H_{3}$ ) Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q9.In the above reaction 'A' is Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q10.Isobutyraldehyde on reaction with formaldehyde and $K_{2} C O_{3}$ gives compound 'A'. Compound 'A' reacts with $K C N$ and yields compound 'B', which on hydrolysis gives a stable compound 'C'. The compound 'C' is
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q11.With respect to the following reaction, consider the given statements : (A) o-Nitroaniline and p-nitroaniline are the predominant products. (B) p-Nitroaniline and m-nitroaniline are the predominant products. (C) $H N O_{3}$ acts as an acid.… Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.When sugar 'X' is boiled with dilute $H_{2} S O_{4}$ in alcoholic solution, two isomers 'A' and 'B' are formed. 'A' on oxidation with $H N O_{3}$ yields saccharic acid where as 'B' is laevorotatory. The compound 'X' is :
Chemistry · Biomolecules · MCQ
Q13.For combustion of one mole of magnesium in an open container at 300 K and 1 bar pressure, $Δ$ CH $Θ$ = $-$ 601.70 kJ mol $-$ 1, the magnitude of change in internal energy for the reaction is kJ. (Nearest…
Chemistry · Thermodynamics · Numerical
Q14.2.5 g of protein containing only glycine ( $C_{2} H_{5} N O_{2}$ ) is dissolved in water to make 500 mL of solution. The osmotic pressure of this solution at 300 K is found to be 5.03 $\times$ 10 $-$ 3 bar. The total number of glycine units present…
Chemistry · Solutions · Numerical
Q15.For the given reactions $S n^{2 +}$ + 2e $- \to$ Sn $S n^{4 +}$ + 4e $- \to$ Sn the electrode potentials are ; $E_{S n^{2 +} / S n}^{o} = - 0.140$ V and $E_{S n^{4 +} / S n}^{o} = + 0.010$ V. The magnitude of standard electrode potential for $S n^{4 +} / S n^{2 +}$ …
Chemistry · Electrochemistry · Numerical
Q16.A radioactive element has a half life of 200 days. The percentage of original activity remaining after 83 days is . (Nearest integer) (Given : antilog 0.125 = 1.333, antilog 0.693 = 4.93)
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q17. $[F e (C N)_{6}]^{4 -} [F e (C N)_{6}]^{3 -} [T i (C N)_{6}]^{3 -} [N i (C N)_{4}]^{2 -} [C o (C N)_{6}]^{3 -}$ Among the given complexes, number of paramagnetic complexes is .
Chemistry · Coordination Compounds · Numerical
Q18.(a) $C o C l_{3} .4 N H_{3}$ , (b) $C o C l_{3} .5 N H_{3}$ , (c) $C o C l_{3} .6 N H_{3}$ and (d) $C o C l (N O_{3})_{2} .5 N H_{3}$ . Number of complex(es) which will exist in cis-trans form is/are .
Chemistry · Coordination Compounds · Numerical
Q19.The complete combustion of 0.492 g of an organic compound containing 'C', 'H' and 'O' gives 0.793 g of $C O_{2}$ and 0.442 g of $H_{2} O$ . The percentage of oxygen composition in the organic compound is . (nearest…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q20.The major product of the following reaction contains bromine atom(s). Includes diagram
Chemistry · Haloalkanes and Haloarenes · Numerical
Q21.0.01 M $K M n O_{4}$ solution was added to 20.0 mL of 0.05 M Mohr's salt solution through a burette. The initial reading of 50 mL burette is zero. The volume of $K M n O_{4}$ solution left in the burette after the end point is …
Chemistry · Redox Reactions · Numerical
Q22.Let R1 = {(a, b) $\in$ N $\times$ N : |a $-$ b| $\leq$ 13} and R2 = {(a, b) $\in$ N $\times$ N : |a $-$ b| $e$ 13}. Then on N :
Mathematics · Sets and Relations · MCQ
Q23.Let f(x) be a quadratic polynomial such that f( $-$ 2) + f(3) = 0. If one of the roots of f(x) = 0 is $-$ 1, then the sum of the roots of f(x) = 0 is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q24.The number of ways to distribute 30 identical candies among four children C1, C2, C3 and C4 so that C2 receives at least 4 and at most 7 candies, C3 receives at least 2 and at most 6 candies, is equal to :
Mathematics · Permutations and Combinations · MCQ
Q25.The term independent of x in the expansion of $(1 - x^{2} + 3 x^{3}) (\frac{5}{2} x^{3} - \frac{1}{5 x ^{2}})^{11}, x e 0$ is :
Mathematics · Binomial Theorem · MCQ
Q26.If n arithmetic means are inserted between a and 100 such that the ratio of the first mean to the last mean is 1 : 7 and a + n = 33, then the value of n is :
Mathematics · Sequences and Series · MCQ
Q27.Let f, g : R $\to$ R be functions defined by $f (x) = {[x] ∣1 - x ∣,, x < 0 x \geq 0$ and $g (x) = {e^{x} - x (x - 1)^{2} - 1,, x < 0 x \geq 0$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q28.Let f : R $\to$ R be a differentiable function such that $f (\frac{π}{4}) = 2, f (\frac{π}{2}) = 0$ and $f^{'} (\frac{π}{2}) = 1$ and let $g (x) = \int_{x}^{π /4} (f^{'} (t) sec t + tan t sec t f (t)) d t$ …
Mathematics · Definite Integration · MCQ
Q29.Let f : R $\to$ R be a continuous function satisfying f(x) + f(x + k) = n, for all x $\in$ R where k > 0 and n is a positive integer. If $I_{1} = 0 \int 4 nk f (x) d x$ and $I_{2} = - k \int 3 k f (x) d x$ , then :
Mathematics · Definite Integration · MCQ
Q30.The area of the bounded region enclosed by the curve $y = 3 - x - \frac{1}{2} - ∣ x + 1∣$ and the x-axis is :
Mathematics · Area Under the Curves · MCQ
Q31.Let x = x(y) be the solution of the differential equation $2 y e^{x / y^{2}} d x + (y^{2} - 4 x e^{x / y^{2}}) d y = 0$ such that x(1) = 0. Then, x(e) is equal to :
Mathematics · Differential Equations · MCQ
Q32.Let the slope of the tangent to a curve y = f(x) at (x, y) be given by 2 $tan x (cos x - y)$ . If the curve passes through the point $(\frac{π}{4}, 0)$ , then the value of $0 \int π /2 y d x$ is equal to :
Mathematics · Differential Equations · MCQ
Q33.Let a triangle be bounded by the lines L1 : 2x + 5y = 10; L2 : $-$ 4x + 3y = 12 and the line L3, which passes through the point P(2, 3), intersects L2 at A and L1 at B. If the point P divides the line-segment AB, internally in the ratio 1…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q34.Let a > 0, b > 0. Let e and l respectively be the eccentricity and length of the latus rectum of the hyperbola $\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ . Let e' and l' respectively be the eccentricity and length of…
Mathematics · Hyperbola · MCQ
Q35.Let $a = α i + 2 j - k$ and $b = - 2 i + α j + k$ , where $α \in R$ . If the area of the parallelogram whose adjacent sides are…
Mathematics · Vector Algebra · MCQ
Q36.If vertex of a parabola is (2, $-$ 1) and the equation of its directrix is 4x $-$ 3y = 21, then the length of its latus rectum is :
Mathematics · Parabola · MCQ
Q37.The probability that a randomly chosen one-one function from the set {a, b, c, d} to the set {1, 2, 3, 4, 5} satisfies f(a) + 2f(b) $-$ f(c) = f(d) is :
Mathematics · Probability · MCQ
Q38.The value of $n \to \infty lim 6 tan {r = 1 \sum n tan^{- 1} (\frac{1}{r ^{2} + 3 r + 3})}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q39.Let $a$ be a vector which is perpendicular to the vector $3 i + \frac{1}{2} j + 2 k$ . If $a \times (2 i + k) = 2 i - 13 j - 4 k$ …
Mathematics · Vector Algebra · MCQ
Q40.If cot $α$ = 1 and sec $β$ = $- \frac{5}{3}$ , where $π < α < \frac{3 π}{2}$ and $\frac{π}{2} < β < π$ , then the value of $tan (α + β)$ and the quadrant in which $α$ + $β$ lies,…
Mathematics · Trigonometric Ratio and Identites · MCQ
Q41.Let the image of the point P(1, 2, 3) in the line $L : \frac{x - 6}{3} = \frac{y - 1}{2} = \frac{z - 2}{3}$ be Q. Let R ( $α$ , $β$ , $γ$ ) be a point that divides internally the line segment PQ in the ratio 1 : 3. Then the…
Mathematics · 3D Geometry · Numerical
Q42.Suppose a class has 7 students. The average marks of these students in the mathematics examination is 62, and their variance is 20. A student fails in the examination if he/she gets less than 50 marks, then in worst case, the number of…
Mathematics · Statistics · Numerical
Q43.If one of the diameters of the circle $x^{2} + y^{2} - 22 x - 62 y + 14 = 0$ is a chord of the circle $(x - 22)^{2} + (y - 22)^{2} = r^{2}$ , then the value of r2 is equal to .
Mathematics · Circle · Numerical
Q44.If $x \to 1 lim \frac{s i n ( 3 x ^{2} - 4 x + 1 ) - x ^{2} + 1}{2 x ^{3} - 7 x ^{2} + a x + b} = - 2$ , then the value of (a $-$ b) is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical
Q45.Let for n = 1, 2, ......, 50, Sn be the sum of the infinite geometric progression whose first term is n2 and whose common ratio is $\frac{1}{( n + 1 ) ^{2}}$ . Then the value of $\frac{1}{26} + n = 1 \sum 50 (S_{n} + \frac{2}{n + 1} - n - 1)$ …
Mathematics · Sequences and Series · Numerical
Q46.If the system of linear equations $2 x - 3 y = γ + 5$ , $α x + 5 y = β + 1$ , where $α$ , $β$ , $γ \in$ R has infinitely many solutions then the value of | 9 $α$ + 3 $β$ + 5 $γ$ | is equal to …
Mathematics · Matrices and Determinants · Numerical
Q47.Let $A = (1 + i - i 10)$ where $i = - 1$ . Then, the number of elements in the set { n } $\in$ {1, 2, ......, 100} : An = A } is .
Mathematics · Matrices and Determinants · Numerical
Q48.Sum of squares of modulus of all the complex numbers z satisfying $\overline{z} = i z^{2} + z^{2} - z$ is equal to .
Mathematics · Complex Numbers · Numerical
Q49.Let S = {1, 2, 3, 4}. Then the number of elements in the set { f : S $\times$ S $\to$ S : f is onto and f (a, b) = f (b, a) $\geq$ a $\forall$ (a, b) $\in$ S $\times$ S } is .
Mathematics · Functions · Numerical
Q50.Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as $v_{2} = \frac{n}{m ^{2}} v_{1}$ and $a_{2} = \frac{a _{1}}{mn}$ respectively. Here m and n are constants. The relations for distance and time in two…
Physics · Units and Measurements · MCQ
Q51.A ball is spun with angular acceleration $α$ = 6t2 $-$ 2t where t is in second and $α$ is in rads $-$ 2. At t = 0, the ball has angular velocity of 10 rads $-$ 1 and angular position of 4 rad. The most appropriate expression for…
Physics · Rotational Motion · MCQ
Q52.A block of mass 2 kg moving on a horizontal surface with speed of 4 ms $-$ 1 enters a rough surface ranging from x = 0.5 m to x = 1.5 m. The retarding force in this range of rough surface is related to distance by F = $-$ kx where k = 12…
Physics · Laws of Motion · MCQ
Q53.A $34$ m long ladder weighing 10 kg leans on a frictionless wall. Its feet rest on the floor 3 m away from the wall as shown in the figure. If Ef and Fw are the reaction forces of the floor and the wall, then ratio of $F_{w} / F_{f}$ … Includes diagram
Physics · Rotational Motion · MCQ
Q54.Water falls from a 40 m high dam at the rate of 9 $\times$ 104 kg per hour. Fifty percentage of gravitational potential energy can be converted into electrical energy. Using this hydroelectric energy number of 100 W lamps, that can be lit,…
Physics · Gravitation · MCQ
Q55.Two objects of equal masses placed at certain distance from each other attracts each other with a force of F. If one-third mass of one object is transferred to the other object, then the new force will be :
Physics · Gravitation · MCQ
Q56.A water drop of radius 1 $μ$ m falls in a situation where the effect of buoyant force is negligible. Co-efficient of viscosity of air is 1.8 $\times$ 10 $-$ 5 Nsm $-$ 2 and its density is negligible as compared to that of water 106 gm…
Physics · Properties of Matter · MCQ
Q57.A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40 J of heat during the part AB, no heat during BC and rejects 60 J of heat during CA. A work of 50 J is done on the gas during the part BC.… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q58.What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?
Physics · Heat and Thermodynamics · MCQ
Q59.Two point charges A and B of magnitude +8 $\times$ 10 $-$ 6 C and $-$ 8 $\times$ 10 $-$ 6 C respectively are placed at a distance d apart. The electric field at the middle point O between the charges is 6.4 $\times$ 104 NC $-$ 1. The…
Physics · Electrostatics · MCQ
Q60.Resistance of the wire is measured as 2 $Ω$ and 3 $Ω$ at 10 $^{\circ}$ C and 30 $^{\circ}$ C respectively. Temperature co-efficient of resistance of the material of the wire is :
Physics · Current Electricity · MCQ
Q61.The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to 1.2 $\times$ 10 $-$ 5. What is fractional increase in the magnetic field inside solenoid with respect to air…
Physics · Magnetic Properties of Matter · MCQ
Q62.Two parallel, long wires are kept 0.20 m apart in vacuum, each carrying current of x A in the same direction. If the force of attraction per meter of each wire is 2 $\times$ 10 $-$ 6 N, then the value of x is approximately :
Physics · Magnetics · MCQ
Q63.A coil is placed in a time varying magnetic field. If the number of turns in the coil were to be halved and the radius of wire doubled, the electrical power dissipated due to the current induced in the coil would be : (Assume the coil to…
Physics · Electromagnetic Induction · MCQ
Q64.An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating y-direction has maximum magnitude of 60 Vm $-$ 1. Choose the correct equations for electric and magnetic fields if the EM wave is propagating in…
Physics · Electromagnetic Waves · MCQ
Q65.In Young's double slit experiment performed using a monochromatic light of wavelength $λ$ , when a glass plate ( $μ$ = 1.5) of thickness x $λ$ is introduced in the path of the one of the interfering beams, the intensity at the…
Physics · Wave Optics · MCQ
Q66.Let K1 and K2 be the maximum kinetic energies of photo-electrons emitted when two monochromatic beams of wavelength $λ$ 1 and $λ$ 2, respectively are incident on a metallic surface. If $λ$ 1 = 3 $λ$ 2 then :
Physics · Dual Nature of Radiation · MCQ
Q67.In the given circuit the input voltage Vin is shown in figure. The cut-in voltage of p-n junction diode (D1 or D2) is 0.6 V. Which of the following output voltage (V0) waveform across the diode is correct? Includes diagram
Physics · Electronic Devices · MCQ
Q68.A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22 mm, 1.23 mm, 1.19 mm and 1.20 mm. The percentage error is $\frac{x}{121} %$ . The value of x is .
Physics · Units and Measurements · Numerical
Q69.A zener of breakdown voltage Vz = 8 V and maximum zener current, IZM = 10 mA is subjectd to an input voltage Vi = 10 V with series resistance R = 100 $Ω$ . In the given circuit RL represents the variable load resistance. The ratio of… Includes diagram
Physics · Electronic Devices · Numerical
Q70.In a Young's double slit experiment, an angular width of the fringe is 0.35 $^{\circ}$ on a screen placed at 2 m away for particular wavelength of 450 nm. The angular width of the fringe, when whole system is immersed in a medium of…
Physics · Wave Optics · Numerical
Q71.In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil is $\frac{1}{K π}$ mH. The value of K is . Includes diagram
Physics · Alternating Current · Numerical
Q72.All resistances in figure are 1 $Ω$ each. The value of current 'I' is $\frac{a}{5}$ A. The value of a is . Includes diagram
Physics · Current Electricity · Numerical
Q73.A capacitor C1 of capacitance 5 $μ$ F is charged to a potential of 30 V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C2 of capacitance 10 $μ$ F as shown in figure. When… Includes diagram
Physics · Capacitor · Numerical
Q74.A tunning fork of frequency 340 Hz resonates in the fundamental mode with an air column of length 125 cm in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing…
Physics · Waves · Numerical
Q75.A liquid of density 750 kgm $-$ 3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 = 1.2 $\times$ 10 $-$ 2 m2 to A2 = $\frac{A _{1}}{2}$ . The pressure difference between the wide and narrow sections of…
Physics · Properties of Matter · Numerical
Q76.A uniform disc with mass M = 4 kg and radius R = 10 cm is mounted on a fixed horizontal axle as shown in figure. A block with mass m = 2 kg hangs from a massless cord that is wrapped around the rim of the disc. During the fall of the… Includes diagram
Physics · Rotational Motion · Numerical
Q77.A car covers AB distance with first one-third at velocity v1 ms $-$ 1, second one-third at v2 ms $-$ 1 and last one-third at v3 ms $-$ 1. If v3 = 3v1, v2 = 2v1 and v1 = 11 ms $-$ 1 then the average velocity of the car is … Includes diagram
Physics · Motion in A Straight Line · Numerical