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2021 · 31 Aug · Shift 2

71 questions · JEE Main

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2021 · 31 Aug · Shift 2

2021 · 31 Aug · Shift 2

71 questions · JEE Main

Chemistry21 questions Mathematics21 questions Physics29 questions

Basics of Organic ChemistryChemistry · 1 questions D and F Block ElementsChemistry · 3 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions ElectrochemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions BiomoleculesChemistry · 1 questions Coordination CompoundsChemistry · 1 questions ThermodynamicsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions HydrocarbonsChemistry · 1 questions SolutionsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Matrices and DeterminantsMathematics · 2 questions Inverse Trigonometric FunctionsMathematics · 1 questions ProbabilityMathematics · 1 questions FunctionsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions EllipseMathematics · 1 questions Differential EquationsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Complex NumbersMathematics · 1 questions Sequences and SeriesMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Definite IntegrationMathematics · 1 questions StatisticsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Application of DerivativesMathematics · 1 questions Properties of MatterPhysics · 1 questions MagneticsPhysics · 2 questions Rotational MotionPhysics · 1 questions Vector AlgebraPhysics · 1 questions Dual Nature of RadiationPhysics · 2 questions Heat and ThermodynamicsPhysics · 3 questions Electronic DevicesPhysics · 2 questions Simple Harmonic MotionPhysics · 2 questions Laws of MotionPhysics · 1 questions Units and MeasurementsPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Current ElectricityPhysics · 2 questions ElectrostaticsPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions GravitationPhysics · 1 questions CapacitorPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Wave OpticsPhysics · 1 questions Alternating CurrentPhysics · 1 questions Geometrical OpticsPhysics · 1 questions

Q1.Arrange the following conformational isomers of n-butane in order of their increasing potential energy : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q2.The $E u^{2 +}$ ion is a strong reducing agent in spite of its ground state electronic configuration (outermost) : [Atomic number of Eu = 63]
Chemistry · D and F Block Elements · MCQ
Q3.The structures A and B formed in the following reaction are : [Ph = $-$ $C_{6} H_{5}$ ] Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q4.In which one of the following sets all species show disproportionation reaction?
Chemistry · D and F Block Elements · MCQ
Q5.Match List - I with List - II Choose the most appropriate answer from the options given below : Includes table
Chemistry · Electrochemistry · MCQ
Q6.The major products A and B formed in the following reaction sequence are : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.Which of the following is not an example of fibrous protein?
Chemistry · Biomolecules · MCQ
Q8.For the reaction given below :- The compound which is not formed as a product in the reaction is a : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q9.Spin only magnetic moment in BM of $[F e (C O)_{4} (C_{2} O_{4})]^{+}$ is :
Chemistry · Coordination Compounds · MCQ
Q10.The incorrect expression among the following is :
Chemistry · Thermodynamics · MCQ
Q11.Match List - I with List - II : Choose the most appropriate answer from the options given below : Includes table
Chemistry · Periodic Table and Periodicity · MCQ
Q12.The major product of the following reaction is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q13.For the following sequence of reactions, the correct products are : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q14.Identify correct A, B and C in the reaction sequence given below : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q15.1.22 g of an organic acid is separately dissolved in 100 g of benzene (Kb = 2.6 K kg mol $-$ 1) and 100 g of acetone (Kb = 1.7 K kg mol $-$ 1). The acid is known to dimerize in benzene but remain as a monomer in acetone. The boiling point…
Chemistry · Solutions · Numerical
Q16.The value of magnetic quantum number of the outermost electron of $Z n^{+}$ ion is .
Chemistry · D and F Block Elements · Numerical
Q17.The pH of a solution obtained by mixing 50 mL of 1 M HCl and 30 mL of 1 M NaOH is x $\times$ 10 $-$ 4. The value of x is . (Nearest integer) [log 2.5 = 0.3979]
Chemistry · Ionic Equilibrium · Numerical
Q18.For the reaction A $\to$ B, the rate constant k(in s $-$ 1) is given by $lo g_{10} k = 20.35 - \frac{( 2.47 \times 10 ^{3} )}{T}$ The energy of activation in kJ mol $-$ 1 is . (Nearest integer) [Given : R =…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q19.Sodium oxide reacts with water to produce sodium hydroxide. 20.0 g of sodium oxide is dissolved in 500 mL of water. Neglecting the change in volume, the concentration of the resulting NaOH solution is $\times$ 10…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q20.According to molecular orbital theory, the number of unpaired electron(s) in $O_{2}^{2 -}$ is :
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q21.The transformation occurring in Duma's method is given below : $C_{2} H_{7} N + (2 x + \frac{y}{2}) C u O \to x C O_{2} + \frac{y}{2} H_{2} O + \frac{z}{2} N_{2} + (2 x + \frac{y}{2}) C u$ The value of y is …
Chemistry · Practical Organic Chemistry · Numerical
Q22.If $α$ + $β$ + $γ$ = 2 $π$ , then the system of equations x + (cos $γ$ )y + (cos $β$ )z = 0 (cos $γ$ )x + y + (cos $α$ )z = 0 (cos $β$ )x + (cos $α$ )y + z = 0 has :
Mathematics · Matrices and Determinants · MCQ
Q23.The domain of the function $f (x) = sin^{- 1} (\frac{3 x ^{2} + x - 1}{( x - 1 ) ^{2}}) + cos^{- 1} (\frac{x - 1}{x + 1})$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q24.Let S = {1, 2, 3, 4, 5, 6}. Then the probability that a randomly chosen onto function g from S to S satisfies g(3) = 2g(1) is :
Mathematics · Probability · MCQ
Q25.Let f : N $\to$ N be a function such that f(m + n) = f(m) + f(n) for every m, n $\in$ N. If f(6) = 18, then f(2) . f(3) is equal to :
Mathematics · Functions · MCQ
Q26.If $α = x \to \frac{π}{4} lim \frac{t a n ^{3} x - t a n x}{c o s ( x + \frac{π}{4} )}$ and $β = x \to 0 lim (cos x)^{c o t x}$ are the roots of the equation, ax2…
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.The locus of mid-points of the line segments joining ( $-$ 3, $-$ 5) and the points on the ellipse $\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 1$ is :
Mathematics · Ellipse · MCQ
Q28.If $\frac{d y}{d x} = \frac{2 ^{x} y + 2 ^{y} .2 ^{x}}{2 ^{x} + 2 ^{x + y} l o g _{e} 2}$ , y(0) = 0, then for y = 1, the value of x lies in the interval :
Mathematics · Differential Equations · MCQ
Q29.If $y \frac{d y}{d x} = x \frac{y ^{2}}{x ^{2}} + \frac{ϕ ( \frac{y ^{2}}{x ^{2}} )}{ϕ ^{'} ( \frac{y ^{2}}{x ^{2}} )}$ , x > 0, $ϕ$ > 0, and y(1) = $-$ 1, then $ϕ (\frac{y ^{2}}{4})$ …
Mathematics · Differential Equations · MCQ
Q30.The sum of the roots of the equation $x + 1 - 2 lo g_{2} (3 + 2^{x}) + 2 lo g_{4} (10 - 2^{- x}) = 0$ , is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q31.If z is a complex number such that $\frac{z - i}{z - 1}$ is purely imaginary, then the minimum value of | z $-$ (3 + 3i) | is :
Mathematics · Complex Numbers · MCQ
Q32.Let a1, a2, a3, ..... be an A.P. If $\frac{a _{1} + a _{2} + .... + a _{10}}{a _{1} + a _{2} + .... + a _{p}} = \frac{100}{p ^{2}}$ , p $e$ 10, then $\frac{a _{11}}{a _{10}}$ is equal to :
Mathematics · Sequences and Series · MCQ
Q33.Let A be the set of all points ( $α$ , $β$ ) such that the area of triangle formed by the points (5, 6), (3, 2) and ( $α$ , $β$ ) is 12 square units. Then the least possible length of a line segment joining the origin to a…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q34.Let f be any continuous function on [0, 2] and twice differentiable on (0, 2). If f(0) = 0, f(1) = 1 and f(2) = 2, then
Mathematics · Limits Continuity and Differentiability · MCQ
Q35.If [x] is the greatest integer $\leq$ x, then $π^{2} 0 \int 2 (sin \frac{π x}{2}) (x - [x])^{[x]} d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q36.The mean and variance of 7 observations are 8 and 16 respectively. If two observations are 6 and 8, then the variance of the remaining 5 observations is :
Mathematics · Statistics · MCQ
Q37.If the coefficient of a7b8 in the expansion of (a + 2b + 4ab)10 is K.216, then K is equal to .
Mathematics · Binomial Theorem · Numerical
Q38.The number of 4-digit numbers which are neither multiple of 7 nor multiple of 3 is .
Mathematics · Sequences and Series · Numerical
Q39.If $\int \frac{s i n x}{s i n ^{3} x + c o s ^{3} x} d x = α lo g_{e} ∣1 + tan x ∣ + β lo g_{e} ∣1 - tan x + tan^{2} x ∣ + γ tan^{- 1} (\frac{2 t a n x - 1}{3}) + C$ , when C is constant of…
Mathematics · Indefinite Integrals · Numerical
Q40.The number of elements in the set ${A = (a 0 b d) : a, b, d \in {- 1, 0, 1} an d (I - A)^{3} = I - A^{3}}$ , where I is 2 $\times$ 2 identity matrix, is :
Mathematics · Matrices and Determinants · Numerical
Q41.If the line y = mx bisects the area enclosed by the lines x = 0, y = 0, x = $\frac{3}{2}$ and the curve y = 1 + 4x $-$ x2, then 12 m is equal to .
Mathematics · Area Under the Curves · Numerical
Q42.Let f(x) be a cubic polynomial with f(1) = $-$ 10, f( $-$ 1) = 6, and has a local minima at x = 1, and f'(x) has a local minima at x = $-$ 1. Then f(3) is equal to .
Mathematics · Application of Derivatives · Numerical
Q43.Four identical hollow cylindrical columns of mild steel support a big structure of mass 50 $\times$ 103 kg. The inner and outer radii of each column are 50 cm and 100 cm respectively. Assuming uniform local distribution, calculate the…
Physics · Properties of Matter · MCQ
Q44.A current of 1.5 A is flowing through a triangle, of side 9 cm each. The magnetic field at the centroid of the triangle is : (Assume that the current is flowing in the clockwise direction.)
Physics · Magnetics · MCQ
Q45.A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the end of light rod. The distance between the centres of the two spheres is 5 m. What will be the moment of inertia of the system about an axis…
Physics · Rotational Motion · MCQ
Q46.Statement I : Two forces $(P + Q)$ and $(P - Q)$ where $P ⊥ Q$ , when act at an angle $θ$ 1 to each…
Physics · Vector Algebra · MCQ
Q47.A free electron of 2.6 eV energy collides with a H+ ion. This results in the formation of a hydrogen atom in the first excited state and a photon is released. Find the frequency of the emitted photon. (h = 6.6 $\times$ 10 $-$ 34 Js)
Physics · Dual Nature of Radiation · MCQ
Q48.Two thin metallic spherical shells of radii r1 and r2 (r1 < r2) are placed with their centres coinciding. A material of thermal conductivity K is filled in the space between the shells. The inner shell is maintained at temperature $θ$ …
Physics · Heat and Thermodynamics · MCQ
Q49.If VA and VB are the input voltages (either 5V or 0V) and V0 is the output voltage then the two gates represented in the following circuit (A) and (B) are :- Includes diagram
Physics · Electronic Devices · MCQ
Q50.Consider two separate ideal gases of electrons and protons having same number of particles. The temperature of both the gases are same. The ratio of the uncertainty in determining the position of an electron to that of a proton is…
Physics · Dual Nature of Radiation · MCQ
Q51.A bob of mass 'm' suspended by a thread of length l undergoes simple harmonic oscillations with time period T. If the bob is immersed in a liquid that has density $\frac{1}{4}$ times that of the bob and the length of the thread is…
Physics · Simple Harmonic Motion · MCQ
Q52.Statement : 1 If three forces $F_{1}, F_{2}$ and $F_{3}$ are represented by three sides of a triangle and $F_{1} + F_{2} = - F_{3}$ ,…
Physics · Laws of Motion · MCQ
Q53.If velocity [V], time [T] and force [F] are chosen as the base quantities, the dimensions of the mass will be :
Physics · Units and Measurements · MCQ
Q54.The magnetic field vector of an electromagnetic wave is given by $B = B_{0} \frac{i + j}{2} cos (k z - ω t)$ ; where $i, j$ represents unit vector along x and y-axis respectively. At t =…
Physics · Electromagnetic Waves · MCQ
Q55.The equivalent resistance of the given circuit between the terminals A and B is : Includes diagram
Physics · Current Electricity · MCQ
Q56.Choose the incorrect statement : (1) The electric lines of force entering into a Gaussian surface provide negative flux. (2) A charge 'q' is placed at the centre of a cube. The flux through all the faces will be the same. (3) In a uniform…
Physics · Electrostatics · MCQ
Q57.A mixture of hydrogen and oxygen has volume 500 cm3, temperature 300 K, pressure 400 kPa and mass 0.76 g. The ratio of masses of oxygen to hydrogen will be :-
Physics · Heat and Thermodynamics · MCQ
Q58.A block moving horizontally on a smooth surface with a speed of 40 m/s splits into two parts with masses in the ratio of 1 : 2. If the smaller part moves at 60 m/s in the same direction, then the fractional change in kinetic energy is :-
Physics · Work Power and Energy · MCQ
Q59.A coil is placed in a magnetic field $B$ as shown below : A current is induced in the coil because $B$ is : Includes diagram
Physics · Electromagnetic Induction · MCQ
Q60.For a body executing S.H.M. : (1) Potential energy is always equal to its K.E. (2) Average potential and kinetic energy over any given time interval are always equal. (3) Sum of the kinetic and potential energy at any point of time is…
Physics · Simple Harmonic Motion · MCQ
Q61.Statement - I : To get a steady dc output from the pulsating voltage received from a full wave rectifier we can connect a capacitor across the output parallel to the load RL. Statement - II : To get a steady dc output from the pulsating…
Physics · Electronic Devices · MCQ
Q62.If RE be the radius of Earth, then the ratio between the acceleration due to gravity at a depth 'r' below and a height 'r' above the earth surface is : (Given : r < RE)
Physics · Gravitation · MCQ
Q63.A parallel plate capacitor of capacitance 200 $μ$ F is connected to a battery of 200 V. A dielectric slab of dielectric constant 2 is now inserted into the space between plates of capacitor while the battery remain connected. The change…
Physics · Capacitor · Numerical
Q64.A long solenoid with 1000 turns/m has a core material with relative permeability 500 and volume 103 cm3. If the core material is replaced by another material having relative permeability of 750 with same volume maintaining same current of…
Physics · Magnetics · Numerical
Q65.A particle is moving with constant acceleration 'a'. Following graph shows v2 versus x(displacement) plot. The acceleration of the particle is m/s2. Includes diagram
Physics · Motion in A Straight Line · Numerical
Q66.In a Young's double slit experiment, the slits are separated by 0.3 mm and the screen is 1.5 m away from the plane of slits. Distance between fourth bright fringes on both sides of central bright is 2.4 cm. The frequency of light used is $\times$ …
Physics · Wave Optics · Numerical
Q67.The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale, in the vernier callipers, are equal to 10 divisions of vernier scale. One main scale division is 1 mm. The main scale reading is 10 mm…
Physics · Units and Measurements · Numerical
Q68.A sample of gas with $γ$ = 1.5 is taken through an adiabatic process in which the volume is compressed from 1200 cm3 to 300 cm3. If the initial pressure is 200 kPa. The absolute value of the workdone by the gas in the process = …
Physics · Heat and Thermodynamics · Numerical
Q69.At very high frequencies, the effective impendence of the given circuit will be $Ω$ . Includes diagram
Physics · Alternating Current · Numerical
Q70.Cross-section view of a prism is the equilateral triangle ABC in the figure. The minimum deviation is observed using this prism when the angle of incidence is equal to the prism angle. The time taken by light to travel from P (midpoint of… Includes diagram
Physics · Geometrical Optics · Numerical
Q71.A resistor dissipates 192 J of energy in 1s when a current of 4A is passed through it. Now, when the current is doubled, the amount of thermal energy dissipated in 5s in J.
Physics · Current Electricity · Numerical