2021 · 20 Jul · Shift 1
71 questions · JEE MainGuest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
2021 · 20 Jul · Shift 1
71 questions · JEE Main
Coordination CompoundsChemistry · 3 questionsCompounds Containing NitrogenChemistry · 3 questionsP Block ElementsChemistry · 1 questionsPractical Organic ChemistryChemistry · 1 questionsBasics of Organic ChemistryChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 2 questionsBiomoleculesChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsHydrocarbonsChemistry · 1 questionsChemical Bonding and Molecular StructureChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 2 questionsStructure of AtomChemistry · 1 questionsChemical EquilibriumChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsSolutionsChemistry · 1 questionsDefinite IntegrationMathematics · 2 questionsStatisticsMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsMatrices and DeterminantsMathematics · 3 questionsComplex NumbersMathematics · 1 questionsFunctionsMathematics · 1 questionsDifferential EquationsMathematics · 2 questionsApplication of DerivativesMathematics · 2 questionsInverse Trigonometric FunctionsMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsProbabilityMathematics · 2 questionsVector AlgebraMathematics · 2 questionsBinomial TheoremMathematics · 1 questionsArea Under the CurvesMathematics · 1 questionsPermutations and CombinationsMathematics · 1 questionsMagneticsPhysics · 1 questionsElectronic DevicesPhysics · 1 questionsCurrent ElectricityPhysics · 2 questionsCircular MotionPhysics · 1 questionsHeat and ThermodynamicsPhysics · 4 questionsMotion in A PlanePhysics · 1 questionsElectrostaticsPhysics · 2 questionsElectromagnetic InductionPhysics · 1 questionsLaws of MotionPhysics · 1 questionsAtoms and NucleiPhysics · 1 questionsDual Nature of RadiationPhysics · 1 questionsVector AlgebraPhysics · 1 questionsAlternating CurrentPhysics · 2 questionsGeometrical OpticsPhysics · 2 questionsGravitationPhysics · 1 questionsProperties of MatterPhysics · 1 questionsWork Power and EnergyPhysics · 1 questionsRotational MotionPhysics · 1 questionsWavesPhysics · 1 questionsCenter of MassPhysics · 1 questions
- Q1.According to the valence bond theory the hybridization of central metal atom is dsp2 for which one of the following compounds?Chemistry · Coordination Compounds · MCQ
- Q2.The correct structure of Rhumann's Purple, the compound formed in the reaction of ninhydrin with proteins is :Chemistry · Compounds Containing Nitrogen · MCQ
- Q3.The correct order of intensity of colors of the compounds is :Chemistry · Coordination Compounds · MCQ
- Q4.The species given below that does NOT show disproportionation reaction is :Chemistry · P Block Elements · MCQ
- Q5.An inorganic Compound 'X' on treatment with concentrated produces brown fumes and gives dark brown ring with in presence of concentrated . Also Compound 'X' gives precipitate 'Y', when its solution in dilute …Chemistry · Practical Organic Chemistry · MCQ
- Q6.Among the given species the Resonance stabilised carbocations are : Includes diagramChemistry · Basics of Organic Chemistry · MCQ
- Q7.In the given reaction 3-Bromo-2, 2-dimethyl butane Product A is :Chemistry · Alcohols Phenols and Ethers · MCQ
- Q8.Compound A is converted to B on reaction with and . The compound B is toxic and can be decomposed by C. A, B and C respectively are :Chemistry · Compounds Containing Nitrogen · MCQ
- Q9.Identify the incorrect statement from the followingChemistry · Biomolecules · MCQ
- Q10.Which among the above compound/s does/do not form Silver mirror when treated with Tollen's reagent? Includes diagramChemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
- Q11.For above chemical reactions, identify the correct statement from the following : Includes diagramChemistry · Hydrocarbons · MCQ
- Q12.The number of lone pairs of electrons on the central I atom in I is .Chemistry · Chemical Bonding and Molecular Structure · Numerical
- Q13.250 mL of 0.5 M NaOH was added to 500 mL of 1 M HCl. The number of unreacted HCl molecules in the solution after complete reaction is 1021. (Nearest integer) (NA = 6.022 1023)Chemistry · Some Basic Concepts of Chemistry · Numerical
- Q14.The Azimuthal quantum number for the valence electrons of ion is . (Atomic number of Ga = 31)Chemistry · Structure of Atom · Numerical
- Q15.The spin-only magnetic moment value for the complex is BM. [At. no. of Co = 27]Chemistry · Coordination Compounds · Numerical
- Q16.2(g) + (g) 2(g) In an equilibrium mixture, the partial pressures are = 43 kPa; = 530 Pa and = 45 kPa. The equilibrium constant = 10 …Chemistry · Chemical Equilibrium · Numerical
- Q17.The number of nitrogen atoms in a semicarbazone molecule of acetone is .Chemistry · Compounds Containing Nitrogen · Numerical
- Q18.To synthesize 1.0 mole of 2-methylpropan-2-ol from Ethylethanoate equivalents of Reagent will be required. (Integer value)Chemistry · Alcohols Phenols and Ethers · Numerical
- Q19.The inactivation rate of a viral preparation is proportional to the amount of virus. In the first minute after preparation, 10% of the virus is inactivated. The rate constant for viral inactivation is 10…Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
- Q20.An average person needs about 10000 kJ energy per day. The amount of glucose (molar mass = 180.0 g mol 1) needed to meet this energy requirement is g. (Use : CH(glucose) = 2700 kJ mol 1)Chemistry · Some Basic Concepts of Chemistry · Numerical
- Q21.At 20 C, the vapour pressure of benzene is 70 torr and that of methyl benzene is 20 torr. The mole fraction of benzene in the vapour phase at 20 above an equimolar mixture of benzene and methyl benzene is …Chemistry · Solutions · Numerical
- Q22.Let a be a positive real number such that where [ x ] is the greatest integer less than or equal to x. Then a is equal to:Mathematics · Definite Integration · MCQ
- Q23.The mean of 6 distinct observations is 6.5 and their variance is 10.25. If 4 out of 6 observations are 2, 4, 5 and 7, then the remaining two observations are :Mathematics · Statistics · MCQ
- Q24.The value of the integral is equal to:Mathematics · Definite Integration · MCQ
- Q25.If and are the distinct roots of the equation , then the value of is equal to :Mathematics · Quadratic Equation and Inequalities · MCQ
- Q26.Let , a R be written as P + Q where P is a symmetric matrix and Q is skew symmetric matrix. If det(Q) = 9, then the modulus of the sum of all possible…Mathematics · Matrices and Determinants · MCQ
- Q27.If z and are two complex numbers such that and , then is :…Mathematics · Complex Numbers · MCQ
- Q28.Let [ x ] denote the greatest integer x, where x R. If the domain of the real valued function is (, a) [b, c) [4, ),…Mathematics · Functions · MCQ
- Q29.Let y = y(x) be the solution of the differential equation , , . Then the…Mathematics · Differential Equations · MCQ
- Q30.Let be a 3 3 matrix, where …Mathematics · Application of Derivatives · MCQ
- Q31.The number of real roots of the equation is :Mathematics · Inverse Trigonometric Functions · MCQ
- Q32.Let y = y(x) be the solution of the differential equation , y(1) = 1. Then the value of (y(3))2 is equal to :Mathematics · Differential Equations · MCQ
- Q33.Let 'a' be a real number such that the function f(x) = ax2 + 6x 15, x R is increasing in and decreasing in . Then the function g(x) = ax2 6x…Mathematics · Application of Derivatives · MCQ
- Q34.Let a function f : R R be defined as …Mathematics · Limits Continuity and Differentiability · MCQ
- Q35.Words with or without meaning are to be formed using all the letters of the word EXAMINATION. The probability that the letter M appears at the fourth position in any such word is :Mathematics · Probability · MCQ
- Q36.The probability of selecting integers a [ 5, 30] such that x2 + 2(a + 4)x 5a + 64 > 0, for all x R, is :Mathematics · Probability · MCQ
- Q37.Let , , be three mutually perpendicular vectors of the same magnitude and equally inclined at an angle , with the vector ++…Mathematics · Vector Algebra · Numerical
- Q38.Let and B = 7A20 20A7 + 2I, where I is an identity matrix of order 3 3. If B = [bij], then b13is…Mathematics · Matrices and Determinants · Numerical
- Q39.The number of rational terms in the binomial expansion of is .Mathematics · Binomial Theorem · Numerical
- Q40.If the shortest distance between the lines , R, > 0 and …Mathematics · Vector Algebra · Numerical
- Q41.Let T be the tangent to the ellipse E : x2 + 4y2 = 5 at the point P(1, 1). If the area of the region bounded by the tangent T, ellipse E, lines x = 1 and x = is ++ cos 1 …Mathematics · Area Under the Curves · Numerical
- Q42.Let a, b, c, d in arithmetic progression with common difference . If …Mathematics · Matrices and Determinants · Numerical
- Q43.There are 15 players in a cricket team, out of which 6 are bowlers, 7 are batsman and 2 are wicketkeepers. The number of ways, a team of 11 players be selected from them so as to include at least 4 bowlers, 5 batsman and 1 wicketkeeper, is…Mathematics · Permutations and Combinations · Numerical
- Q44.If the value of is equal to ea, then a is equal to .Mathematics · Limits Continuity and Differentiability · Numerical
- Q45.A deuteron and an alpha particle having equal kinetic energy enter perpendicularly into a magnetic field. Let rd and r be their respective radii of circular path. The value of is equal to :Physics · Magnetics · MCQ
- Q46.For the circuit shown below, calculate the value of Iz : Includes diagramPhysics · Electronic Devices · MCQ
- Q47.A current of 5 A is passing through a non-linear magnesium wire of cross-section 0.04 m2. At every point the direction of current density is at an angle of 60 with the unit vector of area of cross-section. The magnitude of…Physics · Current Electricity · MCQ
- Q48.The normal reaction 'N' for a vehicle of 800 kg mass, negotiating a turn on a 30 banked road at maximum possible speed without skidding is 103 kg m/s2. [Given cos30 = 0.87, s = 0.2]Physics · Circular Motion · MCQ
- Q49.Consider a mixture of gas molecule of types A, B and C having masses mA < mB < mC. The ratio of their root mean square speeds at normal temperature and pressure is :Physics · Heat and Thermodynamics · MCQ
- Q50.The amount of heat needed to raise the temperature of 4 moles of rigid diatomic gas from 0 C to 50 C when no work is done is . (R is the universal gas constant).Physics · Heat and Thermodynamics · MCQ
- Q51.A butterfly is flying with a velocity m/s in North-East direction. Wind is slowly blowing at 1 m/s from North to South. The resultant displacement of the butterfly in 3 seconds is :Physics · Motion in A Plane · MCQ
- Q52.A certain charge Q is divided into two parts q and (Q q). How should the charges Q and q be divided so that q and (Q q) placed at a certain distance apart experience maximum electrostatic repulsion?Physics · Electrostatics · MCQ
- Q53.The arm PQ of a rectangular conductor is moving from x = 0 to x = 2b outwards and then inwards from x = 2b to x = 0 as shown in the figure. A uniform magnetic field perpendicular to the plane is acting from x = 0 to x = b. Identify the… Includes diagramPhysics · Electromagnetic Induction · MCQ
- Q54.The value of current in the 6 resistance is : Includes diagramPhysics · Current Electricity · MCQ
- Q55.A steel block of 10 kg rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the block and cylinders go down with an acceleration 0.2 m/s2. The normal reaction R' by the floor if mass of the iron… Includes diagramPhysics · Laws of Motion · MCQ
- Q56.A nucleus of mass M emits -ray photon of frequency 'v'. The loss of internal energy by the nucleus is : [Take 'c' as the speed of electromagnetic wave]Physics · Atoms and Nuclei · MCQ
- Q57.The radiation corresponding to 3 2 transition of a hydrogen atom falls on a gold surface to generate photoelectrons. The electrons are passed through a magnetic field of 5 10 4 T. Assume that the radius of the largest…Physics · Dual Nature of Radiation · MCQ
- Q58.If and are two vectors satisfying the relation . =. Then the value of …Physics · Vector Algebra · MCQ
- Q59.The entropy of any system is given by where and are the constants. , J, k and R are no. of moles, mechanical equivalent of heat,…Physics · Heat and Thermodynamics · MCQ
- Q60.AC voltage V(t) = 20 sin t of frequency 50 Hz is applied to a parallel plate capacitor. The separation between the plates is 2 mm and the area is 1 m2. The amplitude of the oscillating displacement current for the applied AC…Physics · Alternating Current · MCQ
- Q61.Region I and II are separated by a spherical surface of radius 25 cm. An object is kept in region I at a distance of 40 cm from the surface. The distance of the image from the surface is : Includes diagramPhysics · Geometrical Optics · MCQ
- Q62.A person whose mass is 100 kg travels from Earth to Mars in a spaceship. Neglect all other objects in sky and take acceleration due to gravity on the surface of the Earth and Mars as 10 m/s2 and 4 m/s2 respectively. Identify from the below… Includes diagramPhysics · Gravitation · MCQ
- Q63.The value of tension in a long thin metal wire has been changed from T1 to T2. The lengths of the metal wire at two different values of tension T1 and T2 are l1 and l2 respectively. The actual length of the metal wire is :Physics · Properties of Matter · MCQ
- Q64.A body having specific charge 8 C/g is resting on a frictionless plane at a distance 10 cm from the wall (as shown in the figure). It starts moving towards the wall when a uniform electric field of 100 V/m is applied horizontally… Includes diagramPhysics · Electrostatics · Numerical
- Q65.In a spring gun having spring constant 100 N/m a small ball 'B' of mass 100 g is put in its barrel (as shown in figure) by compressing the spring through 0.05 m. There should be a box placed at a distance 'd' on the ground so that the ball… Includes diagramPhysics · Work Power and Energy · Numerical
- Q66.An object viewed from a near point distance of 25 cm, using a microscopic lens with magnification '6', gives an unresolved image. A resolved image is observed at infinite distance with a total magnification double the earlier using an…Physics · Geometrical Optics · Numerical
- Q67.A circular disc reaches from top to bottom of an inclined plane of length 'L'. When it slips down the plane, it makes time 't1'. When it rolls down the plane, it takes time t2. The value of is $\sqrt {{3 \over…Physics · Rotational Motion · Numerical
- Q68.The amplitude of wave disturbance propagating in the positive x-direction is given by at time t = 0 and at t = 1 s, where x and y are in metres. The shape of wave does not…Physics · Waves · Numerical
- Q69.In an LCR series circuit, an inductor 30 mH and a resistor 1 are connected to an AC source of angular frequency 300 rad/s. The value of capacitance for which, the current leads the voltage by 45 is …Physics · Alternating Current · Numerical
- Q70.A rod of mass M and length L is lying on a horizontal frictionless surface. A particle of mass 'm' travelling along the surface hits at one end of the rod with a velocity 'u' in a direction perpendicular to the rod. The collision is…Physics · Center of Mass · Numerical
- Q71.In the reported figure, heat energy absorbed by a system in going through a cyclic process is J. Includes diagramPhysics · Heat and Thermodynamics · Numerical