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2022 · 27 Jul · Shift 2

65 questions · JEE Main

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2022 · 27 Jul · Shift 2

2022 · 27 Jul · Shift 2

65 questions · JEE Main

Chemistry21 questions Mathematics19 questions Physics25 questions

Structure of AtomChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 2 questions Ionic EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions Haloalkanes and HaloarenesChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Redox ReactionsChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Complex NumbersMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Definite IntegrationMathematics · 4 questions Sequences and SeriesMathematics · 1 questions Area Under the CurvesMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions 3D GeometryMathematics · 1 questions ProbabilityMathematics · 1 questions FunctionsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Application of DerivativesMathematics · 1 questions DifferentiationMathematics · 1 questions Vector AlgebraMathematics · 1 questions Units and MeasurementsPhysics · 1 questions Center of MassPhysics · 1 questions Laws of MotionPhysics · 3 questions Motion in A Straight LinePhysics · 1 questions GravitationPhysics · 1 questions Properties of MatterPhysics · 3 questions Heat and ThermodynamicsPhysics · 1 questions ElectrostaticsPhysics · 1 questions Current ElectricityPhysics · 2 questions MagneticsPhysics · 1 questions Alternating CurrentPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Wave OpticsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions CapacitorPhysics · 2 questions WavesPhysics · 1 questions Rotational MotionPhysics · 1 questions

Q1.The correct decreasing order of energy for the orbitals having, following set of quantum numbers : (A) n = 3, l = 0, m = 0 (B) n = 4, l = 0, m = 0 (C) n = 3, l = 1, m = 0 (D) n = 3, l = 2, m = 1 is :
Chemistry · Structure of Atom · MCQ
Q2.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q3.The plot of $pH$ -metric titration of weak base $NH_{4} OH$ vs strong acid HCl looks like :
Chemistry · Ionic Equilibrium · MCQ
Q4.Given below are two statements : Statement I : For KI, molar conductivity increases steeply with dilution Statement II : For carbonic acid, molar conductivity increases slowly with dilution In the light of the above statements, choose the…
Chemistry · Electrochemistry · MCQ
Q5.Outermost electronic configurations of four elements A, B, C, D are given below : (A) $3 s^{2}$ (B) $3 s^{2} 3 p^{1}$ (C) $3 s^{2} 3 p^{3}$ (D) $3 s^{2} 3 p^{4}$ The correct order of first ionization enthalpy for them is :
Chemistry · Structure of Atom · MCQ
Q6.In neutral or alkaline solution, $MnO_{4}^{-}$ oxidises thiosulphate to :
Chemistry · D and F Block Elements · MCQ
Q7.Low oxidation state of metals in their complexes are common when ligands :
Chemistry · Coordination Compounds · MCQ
Q8.The structure of A in the given reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q9.Major product ' $B$ ' of the following reaction sequence is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q10.Match List - I with List - II. Choose the correct answer from the options given below : Includes table Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q11.An organic compound $^{'} A^{'}$ contains nitrogen and chlorine. It dissolves readily in water to give a solution that turns litmus red. Titration of compound $^{'} A^{'}$ with standard base indicates that the molecular weight of $^{'} A^{'}$ …
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.Match List - I with Match List - II. Choose the correct answer from the options given below: Includes table
Chemistry · Biomolecules · MCQ
Q13.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Chemistry · Basics of Organic Chemistry · MCQ
Q14. $Fe^{3 +}$ cation gives a prussian blue precipitate on addition of potassium ferrocyanide solution due to the formation of :
Chemistry · Coordination Compounds · MCQ
Q15.The normality of $H_{2} SO_{4}$ in the solution obtained on mixing $0.1 M H_{2} SO_{4}$ of $0.1 M H_{2} SO_{4}$ with $0.1 M NaOH$ of $0.1 M NaOH$ is …
Chemistry · Redox Reactions · Numerical
Q16.A gas (Molar mass = 280 $g mol^{- 1}$ ) was burnt in excess $O_{2}$ in a constant volume calorimeter and during combustion the temperature of calorimeter increased from $298.45 K$ to $298.45 K$ .…
Chemistry · Thermodynamics · Numerical
Q17.When a certain amount of solid A is dissolved in $2 5^{\circ} C$ of water at $2 5^{\circ} C$ to make a dilute solution, the vapour pressure of the solution is reduced to one-half of that of pure water. The vapour pressure of pure…
Chemistry · Solutions · Numerical
Q18. $[A] Reactant o l imi t s \to [B] Product o l imi t s$ If formation of compound $[B]$ follows the first order of kinetics and after 70…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q19.The number of molecule(s) or ion(s) from the following having non-planar structure is . $NO_{3}^{-}, H_{2} O_{2}, BF_{3}, PCl_{3}, XeF_{4}, SF_{4}, XeO_{3}, PH_{4}^{+}, SO_{3}, [Al (OH)_{4}]^{-}$ …
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q20.The spin only magnetic moment of the complex present in Fehling's reagent is B.M. (Nearest integer).
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q21.In the above reaction, $92%$ of toluene is converted into benzaldehyde with $92%$ yield. The amount of benzaldehyde produced is $\times 1 0^{- 2} g$ . (Nearest integer) Includes diagram
Chemistry · Practical Organic Chemistry · Numerical
Q22.The domain of the function $f (x) = sin^{- 1} [2 x^{2} - 3] + lo g_{2} (lo g_{\frac{1}{2}} (x^{2} - 5 x + 5))$ , where [t] is the greatest integer function, is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q23.Let S be the set of all $(α, β), π < α, β < 2 π$ , for which the complex number $\frac{1 - i s i n α}{1 + 2 i s i n α}$ is purely imaginary and $\frac{1 + i c o s β}{1 - 2 i c o s β}$ is purely real. Let $Z_{α β} = sin 2 α + i cos 2 β, (α, β) \in S$ …
Mathematics · Complex Numbers · MCQ
Q24.If $x^{2} - (5 + 3^{l o g_{3} 5} - 5^{l o g_{5} 3}) x + 3 (3^{(l o g_{3} 5)^{\frac{1}{3}}} - 5^{(l o g_{5} 3)^{\frac{2}{3}}} - 1) = 0$ are the roots of the equation $x^{2} - (5 + 3^{l o g_{3} 5} - 5^{l o g_{5} 3}) x + 3 (3^{(l o g_{3} 5)^{\frac{1}{3}}} - 5^{(l o g_{5} 3)^{\frac{2}{3}}} - 1) = 0$ , then the…
Mathematics · Quadratic Equation and Inequalities · MCQ
Q25.If for $p e q q e q 0$ , the function $f (x) = \frac{7 p ( 729 + x ) - 3}{3 729 + q x - 9}$ is continuous at $x = 0$ , then :
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.Let $f (x) = 2 + ∣ x ∣ - ∣ x - 1∣ + ∣ x + 1∣, x \in R$ . Consider $(S 1) : f^{'} (- \frac{3}{2}) + f^{'} (- \frac{1}{2}) + f^{'} (\frac{1}{2}) + f^{'} (\frac{3}{2}) = 2 (S 2) : - 2 \int 2 f (x) d x = 12$ …
Mathematics · Definite Integration · MCQ
Q27.Let the sum of an infinite G.P., whose first term is a and the common ratio is r, be 5 . Let the sum of its first five terms be $\frac{98}{25}$ . Then the sum of the first 21 terms of an AP, whose first term is $10 ar, n^{th}$ …
Mathematics · Sequences and Series · MCQ
Q28.The area of the region enclosed by $y \leq 4 x^{2}, x^{2} \leq 9 y$ and $y \leq 4$ , is equal to :
Mathematics · Area Under the Curves · MCQ
Q29. $0 \int 2 (2 x^{2} - 3 x + [x - \frac{1}{2}]) d x$ , where [t] is the greatest integer function, is equal to :
Mathematics · Definite Integration · MCQ
Q30.Consider a curve $y = y (x)$ in the first quadrant as shown in the figure. Let the area $A_{1}$ is twice the area $A_{2}$ . Then the normal to the curve perpendicular to the line $2 x - 12 y = 15$ does NOT pass through the point. Includes diagram
Mathematics · Area Under the Curves · MCQ
Q31.The equations of the sides $AB, BC$ and CA of a triangle ABC are $2 x + y = 0, x + p y = 39$ and $x - y = 3$ respectively and $P (2, 3)$ is its circumcentre. Then which of the following is NOT true?
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q32.If the length of the perpendicular drawn from the point $P (a, 4, 2)$ , a $\frac{x + 1}{2} = \frac{y - 3}{3} = \frac{z - 1}{- 1}$ on the line $\frac{x + 1}{2} = \frac{y - 3}{3} = \frac{z - 1}{- 1}$ is $26$ units and $Q (α_{1}, α_{2}, α_{3})$ is the image of the…
Mathematics · 3D Geometry · MCQ
Q33.A six faced die is biased such that $3 \times P ($ a prime number $) = 6 \times P ($ a composite number $) = 2 \times P (1)$ . Let X be a random variable that counts the number of times one gets a perfect square on…
Mathematics · Probability · MCQ
Q34.The number of functions $f$ , from the set $A = {x \in N : x^{2} - 10 x + 9 \leq 0}$ to the set $B = {n^{2} : n \in N}$ such that $f (x) \leq (x - 3)^{2} + 1$ , for every $x \in A$ …
Mathematics · Functions · Numerical
Q35.Let for the $9^{th}$ term in the binomial expansion of $(3 + 6 x)^{n}$ , in the increasing powers of $6 x$ , to be the greatest for $x = \frac{3}{2}$ , the least value of $n$ is $n_{0}$ . If $k$ is the…
Mathematics · Binomial Theorem · Numerical
Q36.A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semi-vertical angle is $tan^{- 1} \frac{3}{4}$ . Water is poured in it at a constant rate of 6 cubic meter per hour. The rate (in square meter…
Mathematics · Application of Derivatives · Numerical
Q37.For the curve $C : (x^{2} + y^{2} - 3) + (x^{2} - y^{2} - 1)^{5} = 0$ , the value of $3 y^{'} - y^{3} y^{''}$ , at the point $(α, α)$ , $α > 0$ , on C, is equal to .
Mathematics · Differentiation · Numerical
Q38.Let $f (x) = min {[x - 1], [x - 2], \dots, [x - 10]}$ where [t] denotes the greatest integer $0 \int 10 f (x) d x + 0 \int 10 (f (x))^{2} d x + 0 \int 10 ∣ f (x) ∣ d x$ . Then $0 \int 10 f (x) d x + 0 \int 10 (f (x))^{2} d x + 0 \int 10 ∣ f (x) ∣ d x$ …
Mathematics · Definite Integration · Numerical
Q39.Let f be a differentiable function satisfying $f (x) = \frac{2}{3} 0 \int 3 f (\frac{λ ^{2} x}{3}) d λ, x > 0$ and $f (1) = 3$ . If $y = f (x)$ passes through the point $(α, 6)$ ,…
Mathematics · Definite Integration · Numerical
Q40.Let $a$ , $b$ , $c$ be three non-coplanar vectors such that $a \times b$ = 4 $c$ , $b \times c$ = 9 $a$ …
Mathematics · Vector Algebra · Numerical
Q41.An expression of energy density is given by $u = \frac{α}{β} sin (\frac{α x}{k t})$ , where $x$ are constants, $x$ is displacement, $k$ is Boltzmann constant and t is the temperature. The dimensions of $β$ …
Physics · Units and Measurements · MCQ
Q42.A body of mass $4 5^{\circ}$ is projected at an angle of $4 5^{\circ}$ with the horizontal. The trajectory of the body is observed to pass through a point $(20, 10)$ . If $T$ is the time of flight, then its momentum vector, at…
Physics · Center of Mass · MCQ
Q43.A block of mass M slides down on a rough inclined plane with constant velocity. The angle made by the incline plane with horizontal is $θ$ . The magnitude of the contact force will be :
Physics · Laws of Motion · MCQ
Q44.A block 'A' takes 2 s to slide down a frictionless incline of 30 $^{\circ}$ and length 'l', kept inside a lift going up with uniform velocity 'v'. If the incline is changed to 45 $^{\circ}$ , the time taken by the block, to slide down the…
Physics · Laws of Motion · MCQ
Q45.The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at (4 + x) cm inside…
Physics · Motion in A Straight Line · MCQ
Q46.A body of mass $m$ is projected with velocity $λ v_{e}$ in vertically upward direction from the surface of the earth into space. It is given that $v_{e}$ is escape velocity and$$\lambda(R : radius of…
Physics · Gravitation · MCQ
Q47.A steel wire of length $3.2 m (Y_{s} = 2.0 \times 1 0^{11} Nm^{- 2})$ and a copper wire of length $4.4 m (Y_{c} = 1.1 \times 1 0^{11} Nm^{- 2})$ ,…
Physics · Properties of Matter · MCQ
Q48.Which statements are correct about degrees of freedom ? (A) A molecule with n degrees of freedom has n $^{2}$ different ways of storing energy. (B) Each degree of freedom is associated with $\frac{1}{2}$ RT average energy per mole. (C) A…
Physics · Heat and Thermodynamics · MCQ
Q49.A charge of $4 μ C$ is to be divided into two. The distance between the two divided charges is constant. The magnitude of the divided charges so that the force between them is maximum, will be :
Physics · Electrostatics · MCQ
Q50.(A) The drift velocity of electrons decreases with the increase in the temperature of conductor. (B) The drift velocity is inversely proportional to the area of cross-section of given conductor. (C) The drift velocity does not depend on…
Physics · Current Electricity · MCQ
Q51.A cyclotron is used to accelerate protons. If the operating magnetic field is $60 cm$ and the radius of the cyclotron 'dees' is $[use m_{p} = 1.6 \times 1 0^{- 27} kg, e = 1.6 \times 1 0^{- 19} C$ , the kinetic energy of the accelerated protons in MeV will be : $[use m_{p} = 1.6 \times 1 0^{- 27} kg, e = 1.6 \times 1 0^{- 19} C$ …
Physics · Magnetics · MCQ
Q52.A series LCR circuit has $L = 0.01 H, R = 10 Ω$ and $C = 1 μ F$ and it is connected to ac voltage of amplitude $(V_{m}) 50 V$ . At frequency $60…
Physics · Alternating Current · MCQ
Q53.Identify the correct statements from the following descriptions of various properties of electromagnetic waves. (A) In a plane electromagnetic wave electric field and magnetic field must be perpendicular to each other and direction of…
Physics · Electromagnetic Waves · MCQ
Q54.Two coherent sources of light interfere. The intensity ratio of two sources is $1 : 4$ . For this interference pattern if the value of $\frac{I _{m a x} + I _{m i n}}{I _{m a x} - I _{m i n}}$ is equal to $\frac{2 α + 1}{β + 3}$ , then $\frac{α}{β}$ …
Physics · Wave Optics · MCQ
Q55.With reference to the observations in photo-electric effect, identify the correct statements from below : (A) The square of maximum velocity of photoelectrons varies linearly with frequency of incident light. (B) The value of saturation…
Physics · Dual Nature of Radiation · MCQ
Q56.In an experiment to determine the Young's modulus, steel wires of five different lengths $(1, 2, 3, 4$ , and $5 m)$ but of same cross section $(2 mm^{2})$ were taken and curves between extension and load were… Includes diagram
Physics · Properties of Matter · Numerical
Q57.In the given figure of meter bridge experiment, the balancing length AC corresponding to null deflection of the galvanometer is $AB$ . The balancing length, if the radius of the wire $AB$ is doubled, will be … Includes diagram
Physics · Current Electricity · Numerical
Q58.A thin prism of angle $6^{\circ}$ and refractive index for yellow light $(n_{Y}) 1.5$ is combined with another prism of angle $5^{\circ}$ and $n_{Y} = 1.55$ . The combination produces no… Includes diagram
Physics · Geometrical Optics · Numerical
Q59.A conducting circular loop is placed in $X - Y$ plane in presence of magnetic field $B = (3 t^{3} \hat{j} + 3 t^{2} \hat{k})$ in SI unit. If the radius of the loop is $1 m$ ,…
Physics · Electromagnetic Induction · Numerical
Q60.As show in the figure, in steady state, the charge stored in the capacitor is $\times 1 0^{- 6}$ C. Includes diagram
Physics · Capacitor · Numerical
Q61.A parallel plate capacitor with width $8 cm$ , length $4 mm$ and separation between the plates of $20 V$ is connected to a battery of $1 cm$ . A dielectric slab of dielectric constant 5 having length $1 cm$ …
Physics · Capacitor · Numerical
Q62.A wire of length 30 cm, stretched between rigid supports, has it's nth and (n + 1)th harmonics at 400 Hz and 450 Hz, respectively. If tension in the string is 2700 N, it's linear mass density is kg/m.
Physics · Waves · Numerical
Q63.A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm. If the internal pressure of the smaller bubble of radius 3 cm in the above system is equal to the internal pressure of the another single…
Physics · Properties of Matter · Numerical
Q64.A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance from the initial rest position, the cylinder should be unbinding the strings to achieve a speed of $4 ms^{- 1}$ ,… Includes diagram
Physics · Rotational Motion · Numerical
Q65.Two inclined planes are placed as shown in figure. A block is projected from the Point A of inclined plane AB along its surface with a velocity just sufficient to carry it to the top Point B at a height 10 m. After reaching the Point B the… Includes diagram
Physics · Laws of Motion · Numerical