New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

2023 · 29 Jan · Shift 1

73 questions · JEE Main

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Papers
2023 · 29 Jan · Shift 1

2023 · 29 Jan · Shift 1

73 questions · JEE Main

Chemistry21 questions Mathematics27 questions Physics25 questions

Compounds Containing NitrogenChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 3 questions Practical Organic ChemistryChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions BiomoleculesChemistry · 1 questions Structure of AtomChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Coordination CompoundsChemistry · 2 questions ElectrochemistryChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions Chemical EquilibriumChemistry · 2 questions HydrocarbonsChemistry · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions StatisticsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions ProbabilityMathematics · 1 questions CircleMathematics · 1 questions Definite IntegrationMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Complex NumbersMathematics · 1 questions Differential EquationsMathematics · 1 questions Area Under the CurvesMathematics · 3 questions FunctionsMathematics · 3 questions Vector AlgebraMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Binomial TheoremMathematics · 2 questions Permutations and CombinationsMathematics · 2 questions DifferentiationMathematics · 1 questions 3D GeometryMathematics · 1 questions GravitationPhysics · 1 questions Electromagnetic InductionPhysics · 2 questions ElectrostaticsPhysics · 2 questions Properties of MatterPhysics · 2 questions Heat and ThermodynamicsPhysics · 1 questions MagneticsPhysics · 2 questions Work Power and EnergyPhysics · 2 questions Laws of MotionPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Circular MotionPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Wave OpticsPhysics · 2 questions Electronic DevicesPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Current ElectricityPhysics · 2 questions WavesPhysics · 1 questions Rotational MotionPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions

Q1.The major product 'P' for the following sequence of reactions is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q2.The magnetic behaviour of $L i_{2} O, N a_{2} O_{2}$ and $K O_{2}$ , respectively, are :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q3.Compound that will give positive Lassaigne's test for both nitrogen and halogen is :
Chemistry · Practical Organic Chemistry · MCQ
Q4.Identify the correct order for the given property for following compounds. Choose the correct answer from the option given below : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q5.The bond dissociation energy is highest for
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q6.Number of cyclic tripeptides formed with 2 amino acids A and B is :
Chemistry · Biomolecules · MCQ
Q7.The shortest wavelength of hydrogen atom in Lyman series is $λ$ . The longest wavelength is Balmer series of He $^{+}$ is
Chemistry · Structure of Atom · MCQ
Q8.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Compounds Containing Nitrogen · MCQ
Q9.The increasing order of $p K_{a}$ for the following phenols is (A) 2, 4 - Dinitrophenol (B) 4 - Nitrophenol (C) 2, 4, 5 - Trimethylphenol (D) Phenol (E) 3-Chlorophenol Choose the correct answer from the option given below :
Chemistry · Alcohols Phenols and Ethers · MCQ
Q10.Chiral complex from the following is : Here en = ethylene diamine
Chemistry · Coordination Compounds · MCQ
Q11.The standard electrode potential $(M^{3 +} / M^{2 +})$ for V, Cr, Mn & Co are $-$ 0.26 V, $-$ 0.41 V, + 1.57 V and + 1.97 V, respectively. The metal ions which can liberate $H_{2}$ from a dilute acid are :
Chemistry · Electrochemistry · MCQ
Q12.Following chromatogram was developed by adsorption of compound 'A' on a 6 cm TLC glass plate. Retardation factor of the compound 'A' is $\times 1 0^{- 1}$ . Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q13.Millimoles of calcium hydroxide required to produce 100 mL of the aqueous solution of pH 12 is $x \times 1 0^{- 1}$ . The value of $x$ is (Nearest integer). Assume complete dissociation.
Chemistry · Ionic Equilibrium · Numerical
Q14.For certain chemical reaction $X \to Y$ , the rate of formation of product is plotted against the time as shown in the figure. The number of $\underline{correct}$ statement/s from the following is . (A)… Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q15.The number of molecules or ions from the following, which do not have odd number of electrons are . (A) NO $_{2}$ (B) ICl $_{4}^{-}$ (C) BrF $_{3}$ (D) ClO $_{2}$ (E) NO $_{2}^{+}$ (F) NO
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q16.Following figure shows dependence of molar conductance of two electrolytes on concentration. $Λ m o$ is the limiting molar conductivity. The number of $\underline{incorrect}$ statement(s) from the following… Includes diagram
Chemistry · Electrochemistry · Numerical
Q17.Solid Lead nitrate is dissolved in 1 litre of water. The solution was found to boil at 100.15 $^{\circ}$ C. When 0.2 mol of NaCl is added to the resulting solution, it was observed that the solution froze at $- 0. 8^{\circ}$ C. The solubility…
Chemistry · Solutions · Numerical
Q18.Water decomposes at 2300 K $H_{2} O (g) \to H_{2} (g) + \frac{1}{2} O_{2} (g)$ The percent of water decomposing at 2300 K and 1 bar is (Nearest integer). Equilibrium constant for the reaction is $2 \times 1 0^{- 3}$ at…
Chemistry · Chemical Equilibrium · Numerical
Q19.Consider the following reaction approaching equilibrium at 27 $^{\circ}$ C and 1 atm pressure $A + B$ $k_{r} = 10^{2} ⇌ k_{f} = 10^{3}$ $C + D$ The standard Gibb's…
Chemistry · Chemical Equilibrium · Numerical
Q20.The sum of bridging carbonyls in $W (CO)_{6}$ and $M n_{2} (CO)_{10}$ is .
Chemistry · Coordination Compounds · Numerical
Q21.17 mg of a hydrocarbon (M.F. $C_{10} H_{16}$ ) takes up 8.40 mL of the H $_{2}$ gas measured at 0 $^{\circ}$ C and 760 mm of Hg. Ozonolysis of the same hydrocarbon yields The number of double bond/s present in the hydrocarbon is … Includes diagram
Chemistry · Hydrocarbons · Numerical
Q22.Let $λ e 0$ be a real number. Let $14 x^{2} - 31 x + 3 λ = 0$ be the roots of the equation $14 x^{2} - 31 x + 3 λ = 0$ and $35 x^{2} - 53 x + 4 λ = 0$ be the roots of the equation $35 x^{2} - 53 x + 4 λ = 0$ . Then $\frac{3 α}{β}$ and $\frac{4 α}{γ}$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q23.Let $B$ and $C$ be the two points on the line $y + x = 0$ such that $B$ and $C$ are symmetric with respect to the origin. Suppose $A$ is a point on $y - 2 x = 2$ such that $△ A B C$ is an equilateral triangle. Then, the area of the $△ A B C$ …
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q24.Three rotten apples are mixed accidently with seven good apples and four apples are drawn one by one without replacement. Let the random variable X denote the number of rotten apples. If $μ$ and $σ^{2}$ represent mean and variance of…
Mathematics · Statistics · MCQ
Q25.Let $f (θ) = 3 (sin^{4} (\frac{3 π}{2} - θ) + sin^{4} (3 π + θ)) - 2 (1 - sin^{2} 2 θ)$ and $$S = \left\{ {\theta \in [0,\pi ]:f'(\theta ) = - {{\sqrt 3 } \over 2}}…
Mathematics · Trigonometric Ratio and Identites · MCQ
Q26.Fifteen football players of a club-team are given 15 T-shirts with their names written on the backside. If the players pick up the T-shirts randomly, then the probability that at least 3 players pick the correct T-shirt is :
Mathematics · Probability · MCQ
Q27.Let the tangents at the points $A (4, - 11)$ and $B (8, - 5)$ on the circle $x^{2} + y^{2} - 3 x + 10 y - 15 = 0$ , intersect at the point $C$ . Then the radius of the circle, whose centre is $C$ and the line joining $A$ and $B$ is its tangent, is equal to :
Mathematics · Circle · MCQ
Q28.Let $f (x) = x + \frac{a}{π ^{2} - 4} sin x + \frac{b}{π ^{2} - 4} cos x, x \in R$ be a function which satisfies $f (x) = x + 0 \int π /2 sin (x + y) f (y) d y$ . then $(a + b)$ is equal to
Mathematics · Definite Integration · MCQ
Q29.Let $α$ and $β$ be real numbers. Consider a 3 $\times$ 3 matrix A such that $A^{2} = 3 A + α I$ . If $A^{4} = 21 A + β I$ , then
Mathematics · Matrices and Determinants · MCQ
Q30.A light ray emits from the origin making an angle 30 $^{\circ}$ with the positive $x$ -axis. After getting reflected by the line $x + y = 1$ , if this ray intersects $x$ -axis at Q, then the abscissa of Q is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q31.For two non-zero complex numbers $z_{1}$ and $z_{2}$ , if $Re (z_{1} z_{2}) = 0$ and $Re (z_{1} + z_{2}) = 0$ , then which of the following are possible? A. $Im (z_{1}) > 0$ …
Mathematics · Complex Numbers · MCQ
Q32.Let $y = f (x)$ be the solution of the differential equation $y (x + 1) d x - x^{2} d y = 0, y (1) = e$ . Then $x \to 0^{+} lim f (x)$ is equal to
Mathematics · Differential Equations · MCQ
Q33.Let $Δ$ be the area of the region ${(x, y) \in R^{2} : x^{2} + y^{2} \leq 21, y^{2} \leq 4 x, x \geq 1}$ . Then $\frac{1}{2} (Δ - 21 sin^{- 1} \frac{2}{7})$ is equal to
Mathematics · Area Under the Curves · MCQ
Q34.The domain of $f (x) = \frac{l o g _{(x + 1)} ( x - 2 )}{e ^{2 l o g_{e} x} - ( 2 x + 3 )}, x \in R$ is
Mathematics · Functions · MCQ
Q35.Let $f : R \to R$ be a function such that $f (x) = \frac{x ^{2} + 2 x + 1}{x ^{2} + 1}$ . Then
Mathematics · Functions · MCQ
Q36.Let $[x]$ denote the greatest integer $f (x) = max {x^{2}, 1 + [x]}$ . Consider the function $f (x) = max {x^{2}, 1 + [x]}$ . Then the value of the integral $0 \int 2 f (x) d x$ is
Mathematics · Area Under the Curves · MCQ
Q37.Let $A = {(x, y) \in R^{2} : y \geq 0, 2 x \leq y \leq 4 - (x - 1)^{2}}$ and $B = {(x, y) \in R \times R : 0 \leq y \leq min {2 x, 4 - (x - 1)^{2}}} .$ . Then…
Mathematics · Area Under the Curves · MCQ
Q38.Consider the following system of equations $α x + 2 y + z = 12 α x + 3 y + z = 13 x + α y + 2 z = β$ for some $α, β \in R$ . Then which of the following is NOT correct.
Mathematics · Matrices and Determinants · MCQ
Q39.If the vectors $a = λ i + μ j + 4 k$ , $b = - 2 i + 4 j - 2 k$ and $c = 2 i + 3 j + k$ are coplanar and…
Mathematics · Vector Algebra · MCQ
Q40.Let $x = 2$ be a root of the equation $x^{2} + p x + q = 0$ and $f (x) = {\frac{1 - c o s ( x ^{2} - 4 p x + q ^{2} + 8 q + 16 )}{( x - 2 p ) ^{4}}, 0, x e 2 p x = 2 p$ Then $x \to 2 p^{+} lim [f (x)]$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q41.Let $a_{1}, a_{2}, a_{3}, ...$ be a $GP$ of increasing positive numbers. If the product of fourth and sixth terms is 9 and the sum of fifth and seventh terms is 24, then $a_{1} a_{9} + a_{2} a_{4} a_{9} + a_{5} + a_{7}$ is equal to .
Mathematics · Sequences and Series · Numerical
Q42.Suppose $f$ is a function satisfying $f (x + y) = f (x) + f (y)$ for all $x, y \in N$ and $f (1) = \frac{1}{5}$ . If $n = 1 \sum m \frac{f ( n )}{n ( n + 1 ) ( n + 2 )} = \frac{1}{12}$ , then $m$ is equal to .
Mathematics · Functions · Numerical
Q43.Let the coefficients of three consecutive terms in the binomial expansion of $(1 + 2 x)^{n}$ be in the ratio 2 : 5 : 8. Then the coefficient of the term, which is in the middle of those three terms, is .
Mathematics · Binomial Theorem · Numerical
Q44.If the co-efficient of $x^{9}$ in $(α x^{3} + \frac{1}{β x})^{11}$ and the co-efficient of $x^{- 9}$ in $(α x - \frac{1}{β x ^{3}})^{11}$ are equal, then $(α β)^{2}$ is equal to…
Mathematics · Binomial Theorem · Numerical
Q45.If all the six digit numbers $x_{1} x_{2} x_{3} x_{4} x_{5} x_{6}$ with $0 < x_{1} < x_{2} < x_{3} < x_{4} < x_{5} < x_{6}$ are arranged in the increasing order, then the sum of the digits in the $7 2^{th}$ number is …
Mathematics · Permutations and Combinations · Numerical
Q46.Let $f : R \to R$ be a differentiable function that satisfies the relation $f (x + y) = f (x) + f (y) - 1, \forall x, y \in R$ . If $f^{'} (0) = 2$ , then $∣ f (- 2) ∣$ is equal to .
Mathematics · Differentiation · Numerical
Q47.Five digit numbers are formed using the digits 1, 2, 3, 5, 7 with repetitions and are written in descending order with serial numbers. For example, the number 77777 has serial number 1. Then the serial number of 35337 is …
Mathematics · Permutations and Combinations · Numerical
Q48.Let the co-ordinates of one vertex of $Δ A B C$ be $A (0, 2, α)$ and the other two vertices lie on the line $\frac{x + α}{5} = \frac{y - 1}{2} = \frac{z + 4}{3}$ . For $α \in Z$ , if the area of $Δ A B C$ …
Mathematics · 3D Geometry · Numerical
Q49.Two particles of equal mass ' $m$ ' move in a circle of radius ' $r$ ' under the action of their mutual gravitational attraction. The speed of each particle will be :
Physics · Gravitation · MCQ
Q50.Find the mutual inductance in the arrangement, when a small circular loop of wire of radius ' $R$ ' is placed inside a large square loop of wire of side $L (L ≫ R)$ . The loops are coplanar and their centres coincide : Includes diagram
Physics · Electromagnetic Induction · MCQ
Q51.In a cuboid of dimension $2 L \times 2 L \times L$ , a charge $q$ is placed at the center of the surface ' $S$ ' having area of $4 L^{2}$ . The flux through the opposite surface to…
Physics · Electrostatics · MCQ
Q52.Surface tension of a soap bubble is $2.0 \times 1 0^{- 2} Nm^{- 1}$ . Work done to increase the radius of soap bubble from $7 cm$ to $[π = \frac{22}{7}]$ will be: Take $[π = \frac{22}{7}]$
Physics · Properties of Matter · MCQ
Q53.Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If $d Q$ and $d W$ represent the heat supplied to the system and the work done on the system respectively. Then according to…
Physics · Heat and Thermodynamics · MCQ
Q54.The magnitude of magnetic induction at mid point $O$ due to current arrangement as shown in Fig will be Includes diagram
Physics · Magnetics · MCQ
Q55.A stone is projected at angle $3 0^{\circ}$ to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be -
Physics · Work Power and Energy · MCQ
Q56.A block of mass $m$ slides down the plane inclined at angle $3 0^{\circ}$ with an acceleration $\frac{g}{4}$ . The value of coefficient of kinetic friction will be:
Physics · Laws of Motion · MCQ
Q57.Match List I with List II : Choose the correct answer from the options given below: Includes table
Physics · Units and Measurements · MCQ
Q58.A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of car will be, if friction between tyres and road is 0.34. [take g = 10 ms $^{- 2}$ ]
Physics · Circular Motion · MCQ
Q59.Which of the following are true? A. Speed of light in vacuum is dependent on the direction of propagation. B. Speed of light in a medium is independent of the wavelength of light. C. The speed of light is independent of the motion of the…
Physics · Electromagnetic Waves · MCQ
Q60.In a Young's double slit experiment, two slits are illuminated with a light of wavelength $A_{1} P$ . The line joining $A_{1} P$ is perpendicular to $A_{1} A_{2}$ as shown in the figure. If the first minimum is detected at $P$ , the… Includes diagram
Physics · Wave Optics · MCQ
Q61.A single current carrying loop of wire carrying current I flowing in anticlockwise direction seen from +ve $z$ direction and lying in $x y$ plane is shown in figure. The plot of $\hat{j}$ component of magnetic field (By) at a… Includes diagram
Physics · Magnetics · MCQ
Q62.Which one of the following statement is not correct in the case of light emitting diodes? A. It is a heavily doped p-n junction. B. It emits light only when it is forward biased. C. It emits light only when it is reverse biased. D. The…
Physics · Electronic Devices · MCQ
Q63.A bicycle tyre is filled with air having pressure of $2 7^{\circ} C$ at $2 7^{\circ} C$ . The approximate pressure of the air in the tyre when the temperature increases to $3 6^{\circ} C$ is
Physics · Properties of Matter · MCQ
Q64.The threshold wavelength for photoelectric emission from a material is 5500 $A o$ . Photoelectrons will be emitted, when this material is illuminated with monochromatic radiation from a A. 75 W infra-red lamp B. 10 W…
Physics · Dual Nature of Radiation · MCQ
Q65.Ratio of thermal energy released in two resistors R and 3R connected in parallel in an electric circuit is :
Physics · Current Electricity · MCQ
Q66.Two simple harmonic waves having equal amplitudes of 8 cm and equal frequency of 10 Hz are moving along the same direction. The resultant amplitude is also 8 cm. The phase difference between the individual waves is …
Physics · Waves · Numerical
Q67.A solid sphere of mass 2 kg is making pure rolling on a horizontal surface with kinetic energy 2240 J. The velocity of centre of mass of the sphere will be ms $^{- 1}$ .
Physics · Rotational Motion · Numerical
Q68.In a metre bridge experiment the balance point is obtained if the gaps are closed by 2 $Ω$ and 3 $Ω$ . A shunt of X $Ω$ is added to 3 $Ω$ resistor to shift the balancing point by 22.5 cm. The value of X is …
Physics · Current Electricity · Numerical
Q69.A point charge $q_{1} = 4 q_{0}$ is placed at origin. Another point charge $q_{2} = - q_{0}$ is placed at $x = 12$ cm. Charge of proton is $q_{0}$ . The proton is placed on $x$ axis so that the electrostatic force on the proton is zero. In this situation,…
Physics · Electrostatics · Numerical
Q70.As shown in the figure, three identical polaroids P $_{1}$ , P $_{2}$ and P $_{3}$ are placed one after another. The pass axis of P $_{2}$ and P $_{3}$ are inclined at angle of 60 $^{\circ}$ and 90 $^{\circ}$ with respect to axis of P $_{1}$ . The source S… Includes diagram
Physics · Wave Optics · Numerical
Q71.A 0.4 kg mass takes 8s to reach ground when dropped from a certain height 'P' above surface of earth. The loss of potential energy in the last second of fall is J. (Take g = 10 m/s $^{2}$ )
Physics · Work Power and Energy · Numerical
Q72.A certain elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to a uniform magnetic field B = 0.8 T. When released the radius of the loop starts shrinking at a constant rate of 2 cms $^{- 1}$ …
Physics · Electromagnetic Induction · Numerical
Q73.A tennis ball is dropped on to the floor from a height of 9.8 m. It rebounds to a height 5.0 m. Ball comes in contact with the floor for 0.2s. The average acceleration during contact is ms $^{- 2}$ . (Given g = 10…
Physics · Motion in A Straight Line · Numerical