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2022 · 24 Jun · Shift 1

69 questions · JEE Main

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2022 · 24 Jun · Shift 1

2022 · 24 Jun · Shift 1

69 questions · JEE Main

Chemistry21 questions Mathematics22 questions Physics26 questions

Some Basic Concepts of ChemistryChemistry · 2 questions Structure of AtomChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Chemical EquilibriumChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions P Block ElementsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions Salt AnalysisChemistry · 1 questions SolutionsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions D and F Block ElementsChemistry · 1 questions HydrocarbonsChemistry · 1 questions Complex NumbersMathematics · 1 questions Binomial TheoremMathematics · 1 questions Application of DerivativesMathematics · 3 questions ProbabilityMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Differential EquationsMathematics · 1 questions Vector AlgebraMathematics · 1 questions FunctionsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions 3D GeometryMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Definite IntegrationMathematics · 2 questions Area Under the CurvesMathematics · 1 questions Properties of MatterPhysics · 1 questions MagneticsPhysics · 2 questions Current ElectricityPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Motion in A PlanePhysics · 1 questions Laws of MotionPhysics · 1 questions Circular MotionPhysics · 1 questions ElectrostaticsPhysics · 1 questions Work Power and EnergyPhysics · 2 questions GravitationPhysics · 1 questions Alternating CurrentPhysics · 2 questions WavesPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Atoms and NucleiPhysics · 2 questions CapacitorPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Wave OpticsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Rotational MotionPhysics · 1 questions

Q1.If a rocket runs on a fuel ( $C_{15} H_{30}$ ) and liquid oxygen, the weight of oxygen required and $C O_{2}$ released for every litre of fuel respectively are : (Given : density of the fuel is 0.756 g/mL)
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q2.Consider the following pairs of electrons (A) (a) n = 3, $l$ = 1, m1 = 1, ms = + $\frac{1}{2}$ (b) n = 3, 1 = 2, m1 = 1, ms = + $\frac{1}{2}$ (B) (a) n = 3, $l$ = 2, m1 = $-$ 2, ms = $- \frac{1}{2}$ (b) n = 3, $l$ = 2, m1 = $-$ 1, ms = $-{1 \over…
Chemistry · Structure of Atom · MCQ
Q3.Match List - I with List - II : Choose the most appropriate answer from the options given below : Includes table
Chemistry · Coordination Compounds · MCQ
Q4.For a reaction at equilibrium A(g) $⇌$ B(g) + $\frac{1}{2}$ C(g) the relation between dissociation constant (K), degree of dissociation ( $α$ ) and equilibrium pressure (p) is given by :
Chemistry · Chemical Equilibrium · MCQ
Q5.Given below are the oxides: $N a_{2} O$ , $A s_{2} O_{3}$ , $N_{2} O$ , $N O$ and $C l_{2} O_{7}$ Number of amphoteric oxides is :
Chemistry · Periodic Table and Periodicity · MCQ
Q6.The most stable trihalide of nitrogen is :
Chemistry · P Block Elements · MCQ
Q7.In the given reaction sequence, the major product 'C' is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q8.Two statements are given below : Statement I : The melting point of monocarboxylic acid with even number of carbon atoms is higher than that of with odd number of carbon atoms acid immediately below and above it in the series. Statement II…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q9.Which of the following is an example of conjugated diketone?
Chemistry · Basics of Organic Chemistry · MCQ
Q10.The major product of the above reactions is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q11.A polysaccharide 'X' on boiling with dil $H_{2} S O_{4}$ at 393 K under 2-3 atm pressure yields 'Y'. 'Y' on treatment with bromine water gives gluconic acid. 'X' contains $β$ -glycosidic linkages only. Compound 'X' is :
Chemistry · Biomolecules · MCQ
Q12.During the qualitative analysis of salt with cation y2+, addition of a reagent (X) to alkaline solution of the salt gives a bright red precipitate. The reagent (X) and the cation (y2+) present respectively are :
Chemistry · Salt Analysis · MCQ
Q13.2 $O_{3}$ (g) $⇌$ 3 $O_{2}$ (g) At 300 K, ozone is fifty percent dissociated. The standard free energy change at this temperature and 1 atm pressure is ( $-$ ) J mol $-$ 1. (Nearest integer) [Given : ln…
Chemistry · Chemical Equilibrium · Numerical
Q14.The osmotic pressure of blood is 7.47 bar at 300 K. To inject glucose to a patient intravenously, it has to be isotonic with blood. The concentration of glucose solution in gL $-$ 1 is . (Molar mass of glucose =…
Chemistry · Solutions · Numerical
Q15.The cell potential for the following cell Pt | $H_{2}$ (g)| $H^{+}$ (aq)|| $C u^{2 +}$ (0.01 M)| $C u$ (s) is 0.576 V at 298 K. The pH of the solution is . (Nearest integer) (Given : $E_{C u^{2 +} / C u}^{o} = 0.34$ V and $\frac{2.303 R T}{F} = 0.06$ …
Chemistry · Electrochemistry · Numerical
Q16.The rate constants for decomposition of acetaldehyde have been measured over the temperature range 700 - 1000 K. The data has been analysed by plotting ln k vs $\frac{10 ^{3}}{T}$ graph. The value of activation energy for the reaction… Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q17.The difference in oxidation state of chromium in chromate and dichromate salts is .
Chemistry · D and F Block Elements · Numerical
Q18.In the cobalt-carbonyl complex : $[C o_{2} (C O)_{8}]$ , number of Co-Co bonds is "X" and terminal $C O$ ligands is "Y". X + Y = .
Chemistry · Coordination Compounds · Numerical
Q19.A 0.166 g sample of an organic compound was digested with conc. $H_{2} S O_{4}$ and then distilled with $N a O H$ . The ammonia gas evolved was passed through 50.0 mL of 0.5 N $H_{2} S O_{4}$ . The used acid required 30.0 mL of 0.25 N $N a O H$ for complete…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q20.Number of electrophilic centres in the given compound is . Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q21.The major product 'A' of the following given reaction has sp2 hybridized carbon atoms. Includes diagram
Chemistry · Hydrocarbons · Numerical
Q22.Let $A = {z \in C : 1 \leq ∣ z - (1 + i) ∣ \leq 2}$ and $B = {z \in A : ∣ z - (1 - i) ∣ = 1}$ . Then, B :
Mathematics · Complex Numbers · MCQ
Q23.The remainder when 32022 is divided by 5 is :
Mathematics · Binomial Theorem · MCQ
Q24.The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is 3 units and after 5 seconds, it becomes 7 units, then its radius after 9 seconds is :
Mathematics · Application of Derivatives · MCQ
Q25.Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n white balls. One bag is chosen at random and 2 balls drawn from it at random, are found to be 1 red and 1 black. If the probability that both balls…
Mathematics · Probability · MCQ
Q26.The number of values of $α$ for which the system of equations : x + y + z = $α α$ x + 2 $α$ y + 3z = $-$ 1 x + 3 $α$ y + 5z = 4 is inconsistent, is
Mathematics · Matrices and Determinants · MCQ
Q27.If the sum of the squares of the reciprocals of the roots $α$ and $β$ of the equation 3x2 + $λ$ x $-$ 1 = 0 is 15, then 6( $α$ 3 + $β$ 3)2 is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q28.The set of all values of k for which $(tan^{- 1} x)^{3} + (cot^{- 1} x)^{3} = k π^{3}, x \in R$ , is the interval :
Mathematics · Inverse Trigonometric Functions · MCQ
Q29.For the function $f (x) = 4 lo g_{e} (x - 1) - 2 x^{2} + 4 x + 5, x > 1$ , which one of the following is NOT correct?
Mathematics · Application of Derivatives · MCQ
Q30.The sum of absolute maximum and absolute minimum values of the function $f (x) = ∣2 x^{2} + 3 x - 2∣ + sin x cos x$ in the interval [0, 1] is :
Mathematics · Application of Derivatives · MCQ
Q31.If ${a_{i}}_{i = 1}^{n}$ , where n is an even integer, is an arithmetic progression with common difference 1, and $i = 1 \sum n a_{i} = 192, i = 1 \sum n /2 a_{2 i} = 120$ , then n is equal to :
Mathematics · Sequences and Series · MCQ
Q32.If x = x(y) is the solution of the differential equation $y \frac{d x}{d y} = 2 x + y^{3} (y + 1) e^{y}, x (1) = 0$ ; then x(e) is equal to :
Mathematics · Differential Equations · MCQ
Q33.Let $a$ , $b$ be unit vectors. If $c$ be a vector such that the angle between $a$ and $c$ is $\frac{π}{12}$ , and $b = c + 2 (c \times a)$ …
Mathematics · Vector Algebra · MCQ
Q34.The domain of the function $f (x) = \frac{c o s ^{- 1} ( \frac{x ^{2} - 5 x + 6}{x ^{2} - 9} )}{l o g _{e} ( x ^{2} - 3 x + 2 )}$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q35.The number of one-one functions f : {a, b, c, d} $\to$ {0, 1, 2, ......, 10} such that 2f(a) $-$ f(b) + 3f(c) + f(d) = 0 is .
Mathematics · Functions · Numerical
Q36.In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each correct answer, $-$ 2 marks for each wrong answer and 0 mark if the question is not attempted. Then,…
Mathematics · Permutations and Combinations · Numerical
Q37.Let $A (\frac{3}{a}, a), a > 0$ , be a fixed point in the xy-plane. The image of A in y-axis be B and the image of B in x-axis be C. If $D (3 cos θ, a sin θ)$ is a point in the fourth quadrant…
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q38.Let a line having direction ratios, 1, $-$ 4, 2 intersect the lines $\frac{x - 7}{3} = \frac{y - 1}{- 1} = \frac{z + 2}{1}$ and $\frac{x}{2} = \frac{y - 7}{3} = \frac{z}{1}$ at the points A and B. Then (AB)2 is equal to …
Mathematics · 3D Geometry · Numerical
Q39.The number of points where the function $f (x) = ⎩ ⎨ ⎧ ∣2 x^{2} - 3 x - 7∣ [4 x^{2} - 1] ∣ x + 1∣ + ∣ x - 2∣ if if if x \leq - 1 - 1 < x < 1 x \geq 1$ …
Mathematics · Limits Continuity and Differentiability · Numerical
Q40.Let $f (θ) = sin θ + - π /2 \int π /2 (sin θ + t cos θ) f (t) d t$ . Then the value of $\int_{0}^{π /2} f (θ) d θ$ is .
Mathematics · Definite Integration · Numerical
Q41.Let $0 \leq x \leq 2 M a x {\frac{9 - x ^{2}}{5 - x}} = α$ and $0 \leq x \leq 2 M in {\frac{9 - x ^{2}}{5 - x}} = β$ . If $β - \frac{8}{3} \int 2 α - 1 M a x {\frac{9 - x ^{2}}{5 - x}, x} d x = α_{1} + α_{2} lo g_{e} (\frac{8}{15})$ …
Mathematics · Definite Integration · Numerical
Q42.Let S be the region bounded by the curves y = x3 and y2 = x. The curve y = 2|x| divides S into two regions of areas R1, R2. If max {R1, R2} = R2, then $\frac{R _{2}}{R _{1}}$ is equal to .
Mathematics · Area Under the Curves · Numerical
Q43.If the shortest distance between the lines $r = (- i + 3 k) + λ (i - a j)$ and $r = (- j + 2 k) + μ (i - j + k)$ …
Mathematics · 3D Geometry · Numerical
Q44.The bulk modulus of a liquid is 3 $\times$ 1010 Nm $-$ 2. The pressure required to reduce the volume of liquid by 2% is :
Physics · Properties of Matter · MCQ
Q45.Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In an uniform magnetic field, speed and energy remains the same for a moving charged particle. Reason (R) : Moving…
Physics · Magnetics · MCQ
Q46.Two identical cells each of emf 1.5 V are connected in parallel across a parallel combination of two resistors each of resistance 20 $Ω$ . A voltmeter connected in the circuit measures 1.2 V. The internal resistance of each cell is :
Physics · Current Electricity · MCQ
Q47.Identify the pair of physical quantities which have different dimensions:
Physics · Units and Measurements · MCQ
Q48.A projectile is projected with velocity of 25 m/s at an angle $θ$ with the horizontal. After t seconds its inclination with horizontal becomes zero. If R represents horizontal range of the projectile, the value of $θ$ will be :…
Physics · Motion in A Plane · MCQ
Q49.A block of mass 10 kg starts sliding on a surface with an initial velocity of 9.8 ms $-$ 1. The coefficient of friction between the surface and block is 0.5. The distance covered by the block before coming to rest is : [use g = 9.8 ms $-$ …
Physics · Laws of Motion · MCQ
Q50.A boy ties a stone of mass 100 g to the end of a 2 m long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of 80 N. If the maximum speed with which the stone can revolve is $\frac{K}{π}$ …
Physics · Circular Motion · MCQ
Q51.A vertical electric field of magnitude 4.9 $\times$ 105 N/C just prevents a water droplet of a mass 0.1 g from falling. The value of charge on the droplet will be : (Given : g = 9.8 m/s2)
Physics · Electrostatics · MCQ
Q52.A particle experiences a variable force $F = (4 x i + 3 y^{2} j)$ in a horizontal x-y plane. Assume distance in meters and force is newton. If the particle moves from point (1, 2) to point (2,…
Physics · Work Power and Energy · MCQ
Q53.The approximate height from the surface of earth at which the weight of the body becomes $\frac{1}{3}$ of its weight on the surface of earth is : [Radius of earth R = 6400 km and $3$ = 1.732]
Physics · Gravitation · MCQ
Q54.A resistance of 40 $Ω$ is connected to a source of alternating current rated 220 V, 50 Hz. Find the time taken by the current to change from its maximum value to the rms value :
Physics · Alternating Current · MCQ
Q55.The equations of two waves are given by : y1 = 5 sin 2 $π$ (x - vt) cm y2 = 3 sin 2 $π$ (x $-$ vt + 1.5) cm These waves are simultaneously passing through a string. The amplitude of the resulting wave is :
Physics · Waves · MCQ
Q56.A plane electromagnetic wave travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnitude of magnetic intensity is 4.5 $\times$ 10 $-$ 2 Am $-$ 1 at a point, what will be the approximate magnitude of…
Physics · Electromagnetic Waves · MCQ
Q57.Choose the correct option from the following options given below :
Physics · Atoms and Nuclei · MCQ
Q58.Nucleus A is having mass number 220 and its binding energy per nucleon is 5.6 MeV. It splits in two fragments 'B' and 'C' of mass numbers 105 and 115. The binding energy of nucleons in 'B' and 'C' is 6.4 MeV per nucleon. The energy Q…
Physics · Atoms and Nuclei · MCQ
Q59.A parallel plate capacitor is formed by two plates each of area 30 $π$ cm2 separated by 1 mm. A material of dielectric strength 3.6 $\times$ 107 Vm $-$ 1 is filled between the plates. If the maximum charge that can be stored on the…
Physics · Capacitor · MCQ
Q60.The magnetic field at the centre of a circular coil of radius r, due to current I flowing through it, is B. The magnetic field at a point along the axis at a distance $\frac{r}{2}$ from the centre is :
Physics · Magnetics · MCQ
Q61.Two metallic blocks M1 and M2 of same area of cross-section are connected to each other (as shown in figure). If the thermal conductivity of M2 is K then the thermal conductivity of M1 will be : [Assume steady state heat conduction] Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q62.0.056 kg of Nitrogen is enclosed in a vessel at a temperature of 127 $^{\circ}$ C. Th amount of heat required to double the speed of its molecules is k cal. Take R = 2 cal mole $-$ 1 K $-$ 1)
Physics · Heat and Thermodynamics · Numerical
Q63.Two identical thin biconvex lens of focal length 15 cm and refractive index 1.5 are in contact with each other. The space between the lenses is filled with a liquid of refractive index 1.25. The focal length of the combination is …
Physics · Geometrical Optics · Numerical
Q64.As shown in the figure an inductor of inductance 200 mH is connected to an AC source of emf 220 V and frequency 50 Hz. The instantaneous voltage of the source is 0 V when the peak value of current is $\frac{a}{π}$ A. The value… Includes diagram
Physics · Alternating Current · Numerical
Q65.Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single slit of aperture 0.5 mm. The distance between the slit and the screen is 2.0 m. The separation between the positions of the first maxima of diffraction…
Physics · Wave Optics · Numerical
Q66.When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted electron is v1. When the frequency of incident radiation is increased to five times the threshold value, the maximum…
Physics · Dual Nature of Radiation · Numerical
Q67.From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertically downward from the same position with the same speed reaches the ground in 1.5 s. A third ball released, from the…
Physics · Motion in A Straight Line · Numerical
Q68.A ball of mass 100 g is dropped from a height h = 10 cm on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance $\frac{h}{2}$ . The spring constant… Includes diagram
Physics · Work Power and Energy · Numerical
Q69.A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g are put one on the top of the other at the 10.0 cm mark the scale is found to be balanced at 40.0 cm mark. The mass of the metre scale is found to…
Physics · Rotational Motion · Numerical