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2023 · 30 Jan · Shift 1

68 questions · JEE Main

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2023 · 30 Jan · Shift 1

2023 · 30 Jan · Shift 1

68 questions · JEE Main

Chemistry22 questions Mathematics17 questions Physics29 questions

Coordination CompoundsChemistry · 2 questions HydrocarbonsChemistry · 1 questions Salt AnalysisChemistry · 1 questions BiomoleculesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions D and F Block ElementsChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions ElectrochemistryChemistry · 1 questions SolutionsChemistry · 1 questions Structure of AtomChemistry · 1 questions Differential EquationsMathematics · 1 questions Sets and RelationsMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Definite IntegrationMathematics · 2 questions Binomial TheoremMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions LogarithmMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Complex NumbersMathematics · 1 questions Area Under the CurvesMathematics · 1 questions FunctionsMathematics · 1 questions DifferentiationMathematics · 1 questions StatisticsMathematics · 1 questions MagneticsPhysics · 2 questions Properties of MatterPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Electronic DevicesPhysics · 1 questions Center of MassPhysics · 3 questions Current ElectricityPhysics · 2 questions ElectrostaticsPhysics · 2 questions Atoms and NucleiPhysics · 1 questions GravitationPhysics · 1 questions Motion in A Straight LinePhysics · 2 questions Geometrical OpticsPhysics · 2 questions Alternating CurrentPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Wave OpticsPhysics · 1 questions Rotational MotionPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions CapacitorPhysics · 1 questions

Q1.To inhibit the growth of tumours, identify the compounds used from the following : A. EDTA B. Coordination Compounds of Pt C. D - Penicillamine D. Cis - Platin Choose the correct answer from the option given below :
Chemistry · Coordination Compounds · MCQ
Q2.The major products 'A' and 'B', respectively, are Includes diagram
Chemistry · Hydrocarbons · MCQ
Q3.In the wet tests for identification of various cations by precipitation, which transition element cation doesn't belong to group IV in qualitative inorganic analysis?
Chemistry · Salt Analysis · MCQ
Q4.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Ketoses give Seliwanoff's test faster than Aldoses. Reason (R) : Ketoses undergo $β$ -elimination followed by…
Chemistry · Biomolecules · MCQ
Q5.What is the correct order of acidity of the protons marked $A - D$ in the given compounds ? Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q6.Which of the following is correct order of ligand field strength?
Chemistry · Coordination Compounds · MCQ
Q7.Which of the following compounds would give the following set of qualitative analysis ? (i) Fehling's Test : Positive (ii) Na fusion extract upon treatment with sodium nitroprusside gives a blood red colour but not prussian blue.
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q8.During the qualitative analysis of $SO_{3}^{2 -}$ using dilute $H_{2} SO_{4}, SO_{2}$ gas is evolved which turns $K_{2} Cr_{2} O_{7}$ solution (acidified with dilute $H_{2} SO_{4}$ …
Chemistry · D and F Block Elements · MCQ
Q9.For $OF_{2}$ molecule consider the following : A. Number of lone pairs on oxygen is 2 . B. FOF angle is less than $104. 5^{\circ}$ . C. Oxidation state of $O$ is $- 2$ . D. Molecule is bent ' $V$ ' shaped. E. Molecular…
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q10.Match List I with List II Choose the correct answer from the options given below : Includes table Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q11.Benzyl isocyanide can be obtained by : A. B. C. D. Choose the correct answer from the options given below : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Periodic Table and Periodicity · MCQ
Q13.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q14.Some amount of dichloromethane $(CH_{2} Cl_{2})$ is added to $(CHCl_{3})$ of chloroform $(CHCl_{3})$ to prepare $2.6 \times 1 0^{- 3} M$ solution of $CH_{2} Cl_{2} (DCM)$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q15.If compound A reacts with B following first order kinetics with rate constant $2.011 \times 1 0^{- 3} s^{- 1}$ . The time taken by $A$ (in seconds) to reduce from $2 g$ to will be …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q16. $0.01 M HCl$ of $0.01 M HCl$ is mixed with $0.01 M H_{2} SO_{4}$ of $0.01 M H_{2} SO_{4}$ . The $pH$ of the mixture is $\times 1 0^{- 2}$ . (Nearest integer)…
Chemistry · Ionic Equilibrium · Numerical
Q17.When 2 litre of ideal gas expands isothermally into vacuum to a total volume of 6 litre, the change in internal energy is J. (Nearest integer)
Chemistry · Thermodynamics · Numerical
Q18.Consider the cell $Pt_{(s)} ∣ H_{2} (g, 1 atm) ∣ H^{+} (aq, 1 M) ∣∣ Fe^{3 +} (aq), Fe^{2 +} (aq) ∣ Pt (s)$ …
Chemistry · Electrochemistry · Numerical
Q19.A trisubstituted compound ' $A$ ', $C_{10} H_{12} O_{2}$ gives neutral $FeCl_{3}$ test positive. Treatment of compound 'A' with $NaOH$ and $CH_{3} Br$ gives $C_{11} H_{14} O_{2}$ …
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q20.The number of electrons involved in the reduction of permanganate to manganese dioxide in acidic medium is .
Chemistry · D and F Block Elements · Numerical
Q21.A solution containing $20 g$ of a non-volatile solute in $373.52 K$ of water boils at $g mol^{- 1}$ . The molecular mass of the solute is $g mol^{- 1}$ . (Nearest integer)…
Chemistry · Solutions · Numerical
Q22.The energy of one mole of photons of radiation of frequency $2 \times 1 0^{12} Hz$ in $J mol^{- 1}$ is . (Nearest integer) [Given : $h = 6.626 \times 1 0^{- 34} Js$ $N_{A} = 6.022 \times 1 0^{23} mol^{- 1}$ …
Chemistry · Structure of Atom · Numerical
Q23.Let the solution curve $y = y (x)$ of the differential equation $\frac{d y}{d x} - \frac{3 x ^{5} t a n ^{- 1} ( x ^{3} )}{( 1 + x ^{6} ) ^{3/2}} y = 2 x exp {\frac{x ^{3} - t a n ^{- 1} x ^{3}}{( 1 + x ^{6} )}} pass through the origin. Then y (1) is equal to :$ …
Mathematics · Differential Equations · MCQ
Q24.The minimum number of elements that must be added to the relation $R = {(a, b), (b, c)}$ on the set ${a, b, c}$ so that it becomes symmetric and transitive is :
Mathematics · Sets and Relations · MCQ
Q25.Let the system of linear equations $x + y + k z = 22 x + 3 y - z = 13 x + 4 y + 2 z = k$ have infinitely many solutions. Then the system $(k + 1) x + (2 k - 1) y = 7 (2 k + 1) x + (k + 5) y = 10$ has :
Mathematics · Matrices and Determinants · MCQ
Q26.If [t] denotes the greatest integer $\frac{3 ( e - 1 )}{e} 1 \int 2 x^{2} e^{[x] + [x^{3}]} d x$ , then the value of $\frac{3 ( e - 1 )}{e} 1 \int 2 x^{2} e^{[x] + [x^{3}]} d x$ is :
Mathematics · Definite Integration · MCQ
Q27.If the coefficient of $x^{15}$ in the expansion of $(a x^{3} + \frac{1}{b x ^{1/3}})^{15}$ is equal to the coefficient of $x^{- 15}$ in the expansion of $(a x^{1/3} - \frac{1}{b x ^{3}})^{15}$ ,…
Mathematics · Binomial Theorem · MCQ
Q28.Suppose $f : R \to (0, \infty)$ be a differentiable function such that $5 f (x + y) = f (x) \cdot f (y), \forall x, y \in R$ . If $f (3) = 320$ , then $\sum_{n = 0}^{5} f (n)$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q29.If the solution of the equation $lo g_{c o s x} cot x + 4 lo g_{s i n x} tan x = 1, x \in (0, \frac{π}{2})$ , is $sin^{- 1} (\frac{α + β}{2})$ , where $α$ , $β$ are integers, then $α + β$ …
Mathematics · Logarithm · MCQ
Q30.If $tan 1 5^{\circ} + \frac{1}{t a n 7 5 ^{\circ}} + \frac{1}{t a n 10 5 ^{\circ}} + tan 19 5^{\circ} = 2 a$ , then the value of $(a + \frac{1}{a})$ is :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q31.Let a unit vector $O P$ make angles $α, β, γ$ with the positive directions of the co-ordinate axes $OX$ , $OY, OZ$ respectively, where $β \in (0, \frac{π}{2})$ . If $OP$ …
Mathematics · Vector Algebra · MCQ
Q32.If an unbiased die, marked with $- 2, - 1, 0, 1, 2, 3$ on its faces, is thrown five times, then the probability that the product of the outcomes is positive, is :
Mathematics · Probability · MCQ
Q33. $lim_{x \to 0} \frac{48}{x ^{4}} \int_{0}^{x} \frac{t ^{3}}{t ^{6} + 1} d t$ is equal to .
Mathematics · Definite Integration · Numerical
Q34.Number of 4-digit numbers (the repetition of digits is allowed) which are made using the digits 1, 2, 3 and 5, and are divisible by 15, is equal to .
Mathematics · Permutations and Combinations · Numerical
Q35.Let $z = 1 + i$ and $z_{1} = \frac{1 + i z ˉ}{z ˉ ( 1 - z ) + \frac{1}{z}}$ . Then $\frac{12}{π} ar g (z_{1})$ is equal to .
Mathematics · Complex Numbers · Numerical
Q36.Let $α$ be the area of the larger region bounded by the curve $y^{2} = 8 x$ and the lines $y = x$ and $x = 2$ , which lies in the first quadrant. Then the value of $3 α$ is equal to .
Mathematics · Area Under the Curves · Numerical
Q37.Let $S = {1, 2, 3, 4, 5, 6}$ . Then the number of one-one functions $f : S \to P (S)$ , where $P (S)$ denote the power set of $S$ , such that $f (n) \subset f (m)$ where $n \lt…
Mathematics · Functions · Numerical
Q38.Let $f^{1} (x) = \frac{3 x + 2}{2 x + 3}, x \in R - {\frac{- 3}{2}}$ For $n \geq 2$ , define $f^{n} (x) = f^{1} o f^{n - 1} (x)$ . If $f^{5} (x) = \frac{a x + b}{b x + a}, gcd (a, b) = 1$ …
Mathematics · Differentiation · Numerical
Q39.The mean and variance of 7 observations are 8 and 16 respectively. If one observation 14 is omitted and a and b are respectively mean and variance of remaining 6 observation, then $a + 3b - 5$ is equal to .
Mathematics · Statistics · Numerical
Q40.A massless square loop, of wire of resistance $10Ω$ , supporting a mass of $1 0^{3} G$ , hangs vertically with one of its sides in a uniform magnetic field of $1 0^{3} G$ , directed outwards in the shaded region. A dc… Includes diagram
Physics · Magnetics · MCQ
Q41.The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, $B$ . If the tube is dipped in a similar manner in another liquid $B$ of surface tension and density…
Physics · Properties of Matter · MCQ
Q42.A small object at rest, absorbs a light pulse of power $300 ns$ and duration $3 \times 1 0^{8} m / s$ . Assuming speed of light as $3 \times 1 0^{8} m / s$ , the momentum of the object becomes equal to :
Physics · Dual Nature of Radiation · MCQ
Q43.Choose the correct relationship between Poisson ratio $(σ)$ , bulk modulus (K) and modulus of rigidity $(η)$ of a given solid object :
Physics · Properties of Matter · MCQ
Q44.The pressure $(P)$ and temperature ( $T)$ relationship of an ideal gas obeys the equation $PT^{2} =$ constant. The volume expansion coefficient of the gas will be :
Physics · Heat and Thermodynamics · MCQ
Q45.The output waveform of the given logical circuit for the following inputs A and B as shown below, is : Includes diagram
Physics · Electronic Devices · MCQ
Q46.As per the given figure, a small ball P slides down the quadrant of a circle and hits the other ball Q of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball… Includes diagram
Physics · Center of Mass · MCQ
Q47.The charge flowing in a conductor changes with time as $Q (t) = α t - β t^{2} + γ t^{3}$ . Where $γ$ and $γ$ are constants. Minimum value of current is :
Physics · Current Electricity · MCQ
Q48.Heat is given to an ideal gas in an isothermal process. A. Internal energy of the gas will decrease. B. Internal energy of the gas will increase. C. Internal energy of the gas will not change. D. The gas will do positive work. E. The gas…
Physics · Heat and Thermodynamics · MCQ
Q49.Electric field in a certain region is given by $E = (\frac{A}{x ^{2}} \hat{i} + \frac{B}{y ^{3}} \hat{j}) . The SI unit of A and B$ …
Physics · Electrostatics · MCQ
Q50.Two isolated metallic solid spheres of radii $R$ and $2 R$ are charged such that both have same charge density $σ$ . The spheres are then connected by a thin conducting wire. If the new charge density of the bigger…
Physics · Electrostatics · MCQ
Q51.Speed of an electron in Bohr's $7^{th}$ orbit for Hydrogen atom is $3.6 \times 1 0^{6} m / s$ . The corresponding speed of the electron in $3^{rd}$ orbit, in $m / s$ is :
Physics · Atoms and Nuclei · MCQ
Q52.The magnetic moments associated with two closely wound circular coils $A$ and $B$ of radius $r_{A} = 10 cm$ and $r_{B} = 20 cm$ respectively are equal if : (Where $N_{A}, I_{A}$ …
Physics · Magnetics · MCQ
Q53.The figure represents the momentum time ( $p - t$ ) curve for a particle moving along an axis under the influence of the force. Identify the regions on the graph where the magnitude of the force is maximum and minimum… Includes diagram
Physics · Center of Mass · MCQ
Q54.If the gravitational field in the space is given as $(- \frac{K}{r ^{2}})$ . Taking the reference point to be at $r = 2 cm$ with gravitational potential $V = 10 J / kg$ . Find the…
Physics · Gravitation · MCQ
Q55.Match Column-I with Column-II : Choose the correct answer from the options given below: Includes table Includes diagram
Physics · Motion in A Straight Line · MCQ
Q56.A ball of mass $20 m$ rests on a vertical post of height $10 g$ . A bullet of mass $10 g$ , travelling in horizontal direction, hits the centre of the ball. After collision both travels independently. The ball…
Physics · Center of Mass · MCQ
Q57.A person has been using spectacles of power $- 1.0$ dioptre for distant vision and a separate reading glass of power $2.0$ dioptres. What is the least distance of distinct vision for this person :
Physics · Geometrical Optics · MCQ
Q58.In a series LR circuit with $X_{L} = R$ , power factor P1. If a capacitor of capacitance C with $X_{C} = X_{L}$ is added to the circuit the power factor becomes P2. The ratio of P1 to P2 will be :
Physics · Alternating Current · MCQ
Q59.In the following circuit, the magnitude of current I1, is A. Includes diagram
Physics · Current Electricity · Numerical
Q60.In an experiment for estimating the value of focal length of converging mirror, image of an object placed at $120 cm$ from the pole of the mirror is formed at distance $120 cm$ from the pole of the mirror. These…
Physics · Geometrical Optics · Numerical
Q61.The general displacement of a simple harmonic oscillator is $x = A sin ω t$ . Let T be its time period. The slope of its potential energy (U) - time (t) curve will be maximum when $t = \frac{T}{β}$ . The value of $β$ is …
Physics · Simple Harmonic Motion · Numerical
Q62.In Young's double slit experiment, two slits $S_{1}$ and $S_{2}$ are ' $d$ ' distance apart and the separation from slits to screen is $D$ (as shown in figure). Now if two transparent slabs of equal thickness $0.1 mm$ but… Includes diagram
Physics · Wave Optics · Numerical
Q63.A thin uniform rod of length $A$ , cross sectional area ' $A$ ' and density ' $d$ ' is rotated about an axis passing through the centre and perpendicular to its length with angular velocity $ω$ . If value of $ω$ in…
Physics · Rotational Motion · Numerical
Q64.A horse rider covers half the distance with $5 m / s$ speed. The remaining part of the distance was travelled with speed $10 m / s$ for half the time and with speed $15 m / s$ for…
Physics · Motion in A Straight Line · Numerical
Q65.As per the given figure, if $\frac{dI}{dt} = - 1 A / s$ then the value of $V_{AB}$ at this instant will be $V$ . Includes diagram
Physics · Electromagnetic Induction · Numerical
Q66.In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by $0.5 mm$ on a complete rotation of the circular scale. The zero of circular scale lies 6 divisions below the line of graduation when two…
Physics · Units and Measurements · Numerical
Q67.A point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of $10 cm$ . The radius of curvature of hemisphere is $10 cm$ and the inner surface is completely…
Physics · Electromagnetic Waves · Numerical
Q68.A capacitor of capacitance $900 μ F$ is charged by a $100 V$ battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of uncharged capacitor…
Physics · Capacitor · Numerical