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2021 · 27 Jul · Shift 2

71 questions · JEE Main

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2021 · 27 Jul · Shift 2

2021 · 27 Jul · Shift 2

71 questions · JEE Main

Chemistry22 questions Mathematics22 questions Physics27 questions

Alcohols Phenols and EthersChemistry · 2 questions P Block ElementsChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Coordination CompoundsChemistry · 2 questions Salt AnalysisChemistry · 1 questions BiomoleculesChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions HydrocarbonsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Redox ReactionsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions SolutionsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions Binomial TheoremMathematics · 1 questions FunctionsMathematics · 1 questions Complex NumbersMathematics · 2 questions Trigonometric Ratio and IdentitesMathematics · 1 questions StatisticsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Differential EquationsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 2 questions Sets and RelationsMathematics · 2 questions CircleMathematics · 1 questions Definite IntegrationMathematics · 2 questions Permutations and CombinationsMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Dual Nature of RadiationPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Properties of MatterPhysics · 2 questions Heat and ThermodynamicsPhysics · 1 questions Simple Harmonic MotionPhysics · 2 questions CapacitorPhysics · 2 questions Work Power and EnergyPhysics · 3 questions Alternating CurrentPhysics · 1 questions Electronic DevicesPhysics · 1 questions MagneticsPhysics · 1 questions GravitationPhysics · 2 questions ElectrostaticsPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Laws of MotionPhysics · 1 questions Current ElectricityPhysics · 2 questions Rotational MotionPhysics · 1 questions Wave OpticsPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Motion in A PlanePhysics · 1 questions Atoms and NucleiPhysics · 1 questions

Q1.Consider the above reaction, the major product "P" formed is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q2.Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : $S O_{2}$ (g) is absorbed to a large extent than $H_{2}$ (g) on activated charcoal. Reason R : $S O_{2}$ (g) has a higher critical…
Chemistry · P Block Elements · MCQ
Q3.The correct order of first ionisation enthalpy is :
Chemistry · Periodic Table and Periodicity · MCQ
Q4.Given below are two statements : Statement I : Hyperconjugation is a permanent effect. Statement II : Hyperconjugation in ethyl cation $(C H_{3} - C + H_{2})$ involves the overlapping of $C_{s p^{2}} - H_{1 s}$ …
Chemistry · Basics of Organic Chemistry · MCQ
Q5.Given below are two statements : Statement I : $[M n (C N)_{6}]^{3 -}$ , $[F e (C N)_{6}]^{3 -}$ and $[C o (C_{2} O_{4})_{3}]^{3 -}$ are d2sp3 hybridised. Statement II : $[M n C l)_{6}]^{3 -}$ and $[F e F_{6}]^{3 -}$ are paramagnetic and…
Chemistry · Coordination Compounds · MCQ
Q6.To an aqueous solution containing ions such as $A l^{3 +}$ , $Z n^{2 +}$ , $C a^{2 +}$ , $F e^{3 +}$ , $N i^{2 +}$ , $B a^{2 +}$ and $C u^{2 +}$ was added conc. $H C l$ , followed by $H_{2} S$ . The total number of cations precipitated during this reaction is/are :
Chemistry · Salt Analysis · MCQ
Q7.Compound A gives D-Galactose and D-Glucose on hydrolysis. The compound A is :
Chemistry · Biomolecules · MCQ
Q8. $R - C N (ii) H_{2} O ⟶ (i) D I B A L - H R - Y$ Consider the above reaction and identify "Y"
Chemistry · Compounds Containing Nitrogen · MCQ
Q9.Consider the above reaction, and choose the correct statement : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q10.Match List - I with List - II : Choose the correct answer from the options given below : Includes table
Chemistry · P Block Elements · MCQ
Q11.What is A in the following reaction? Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.The correct sequence of correct reagents for the following transformation is : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q13.The equilibrium constant for the reaction A(s) $⇌$ M(s) + $\frac{1}{2}$ $O_{2}$ (g) is Kp = 4. At equilibrium, the partial pressure of $O_{2}$ is atm. (Round off to the nearest integer)
Chemistry · Chemical Equilibrium · Numerical
Q14.When 400 mL of 0.2 M $H_{2} S O_{4}$ solution is mixed with 600 mL of 0.1 M $N a O H$ solution, the increase in temperature of the final solution is $\times$ 10 $-$ 2 K. (Round off to the nearest integer). [Use : $H^{+}$ (aq)…
Chemistry · Thermodynamics · Numerical
Q15.2 $S O_{2}$ (g) + $O_{2}$ (g) $\to$ 2 $S O_{3}$ (g) The above reaction is carried out in a vessel starting with partial pressure $P S O_{2}$ = 250 m bar, $P O_{2}$ = 750 m bar and $P S O_{3}$ = 0 bar. When the reaction is complete, the total pressure in the…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q16.10.0 mL of 0.05 M $K M n O_{4}$ solution was consumed in a titration with 10.0 mL of given oxalic acid dihydrate solution. The strength of given oxalic acid solution is $\times$ 10 $-$ 2 g/L. (Round off to the nearest…
Chemistry · Redox Reactions · Numerical
Q17.The total number of electrons in all bonding molecular orbitals of $O_{2}^{2 -}$ is . (Round off to the nearest integer)
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q18.3 moles of metal complex with formula $C o (e n)_{2} C l_{3}$ gives 3 moles of silver chloride on treatment with excess of silver nitrate. The secondary valency of Co in the complex is . (Round off to the nearest integer)
Chemistry · Coordination Compounds · Numerical
Q19.In a solvent 50% of an acid HA dimerizes and the rest dissociates. The van't Hoff factor of the acid is $\times$ 10 $-$ 2. (Round off to the nearest integer)
Chemistry · Solutions · Numerical
Q20.The dihedral angle in staggered form of Newman projection of 1, 1, 1-Trichloro ethane is degree. (Round off to the nearest integer)
Chemistry · Basics of Organic Chemistry · Numerical
Q21.For the first order reaction A $\to$ 2B, 1 mole of reactant A gives 0.2 moles of B after 100 minutes. The half life of the reaction is min. (Round off to the nearest integer). [Use : ln 2 = 0.69, ln 10 = 2.3]…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q22.For the cell Cu(s) | $C u^{2 +}$ (aq) (0.1 M) || $A g^{+}$ (aq) (0.01 M) | Ag(s) the cell potential E1 = 0.3095 V For the cell Cu(s) | $C u^{2 +}$ (aq) (0.01 M) || $A g^{+}$ (aq) (0.001 M) | Ag(s) the cell potential = $\times$ …
Chemistry · Electrochemistry · Numerical
Q23.The point P (a, b) undergoes the following three transformations successively : (a) reflection about the line y = x. (b) translation through 2 units along the positive direction of x-axis. (c) rotation through angle $\frac{π}{4}$ about…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q24.A possible value of 'x', for which the ninth term in the expansion of ${3^{l o g_{3} 25^{x - 1} + 7} + 3^{(- \frac{1}{8}) l o g_{3} (5^{x - 1} + 1)}}^{10}$ in the increasing powers…
Mathematics · Binomial Theorem · MCQ
Q25.Let f : R $\to$ R be defined as $f (x + y) + f (x - y) = 2 f (x) f (y), f (\frac{1}{2}) = - 1$ . Then, the value of $k = 1 \sum 20 \frac{1}{s i n ( k ) s i n ( k + f ( k ))}$ is equal to :
Mathematics · Functions · MCQ
Q26.Let C be the set of all complex numbers. Let S1 = {z $\in$ C : |z $-$ 2| $\leq$ 1} and S2 = {z $\in$ C : z(1 + i) + $\overline{z}$ (1 $-$ i) $\geq$ 4}. Then, the maximum value of $z - \frac{5}{2}^{2}$ for z $\in$ S1 $\cap$ S2…
Mathematics · Complex Numbers · MCQ
Q27.If $tan (\frac{π}{9}), x, tan (\frac{7 π}{18})$ are in arithmetic progression and $tan (\frac{π}{9}), y, tan (\frac{5 π}{18})$ are also in arithmetic…
Mathematics · Trigonometric Ratio and Identites · MCQ
Q28.Let the mean and variance of the frequency distribution $x : f : x_{1} = 2 4 x_{2} = 6 4 x_{3} = 8 α x_{4} = 9 β$ be 6 and 6.8…
Mathematics · Statistics · MCQ
Q29.The area of the region bounded by y $-$ x = 2 and x2 = y is equal to :
Mathematics · Area Under the Curves · MCQ
Q30.Let y = y(x) be the solution of the differential equation (x $-$ x3)dy = (y + yx2 $-$ 3x4)dx, x > 2. If y(3) = 3, then y(4) is equal to :
Mathematics · Differential Equations · MCQ
Q31.The value of $x \to 0 lim (\frac{x}{8 1 - s i n x - 8 1 + s i n x})$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q32.Two sides of a parallelogram are along the lines 4x + 5y = 0 and 7x + 2y = 0. If the equation of one of the diagonals of the parallelogram is 11x + 7y = 9, then other diagonal passes through the point :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q33.Let $α = x \in R max {8^{2 s i n 3 x} . 4^{4 c o s 3 x}}$ and $β = x \in R min {8^{2 s i n 3 x} . 4^{4 c o s 3 x}}$ . If $8 x^{2} + b x + c = 0$ is a quadratic equation whose roots are $α$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q34.Let $f : [0, \infty) \to [0, 3]$ be a function defined by $f (x) = {max {sin t : 0 \leq t \leq x}, 2 + cos x, 0 \leq x \leq π x > π$ Then which of the following…
Mathematics · Limits Continuity and Differentiability · MCQ
Q35.Let N be the set of natural numbers and a relation R on N be defined by $R = {(x, y) \in N \times N : x^{3} - 3 x^{2} y - x y^{2} + 3 y^{3} = 0}$ . Then the relation R is :
Mathematics · Sets and Relations · MCQ
Q36.Consider a circle C which touches the y-axis at (0, 6) and cuts off an intercept $65$ on the x-axis. Then the radius of the circle C is equal to :
Mathematics · Circle · MCQ
Q37.Let f : (a, b) $\to$ R be twice differentiable function such that $f (x) = \int_{a}^{x} g (t) d t$ for a differentiable function g(x). If f(x) = 0 has exactly five distinct roots in (a, b), then g(x)g'(x) = 0 has at least :
Mathematics · Definite Integration · MCQ
Q38.If the real part of the complex number $z = \frac{3 + 2 i c o s θ}{1 - 3 i c o s θ}, θ \in (0, \frac{π}{2})$ is zero, then the value of sin23 $θ$ + cos2 $θ$ is equal to .
Mathematics · Complex Numbers · Numerical
Q39.If $\int_{0}^{π} (sin^{3} x) e^{- s i n^{2} x} d x = α - \frac{β}{e} \int_{0}^{1} t e^{t} d t$ , then $α$ + $β$ is equal to .
Mathematics · Definite Integration · Numerical
Q40.The number of real roots of the equation e4x $-$ e3x $-$ 4e2x $-$ ex + 1 = 0 is equal to .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q41.Let y = y(x) be the solution of the differential equation dy = e $α$ x + y dx; $α \in$ N. If y(loge2) = loge2 and y(0) = loge $(\frac{1}{2})$ , then the value of $α$ is equal to .
Mathematics · Differential Equations · Numerical
Q42.Let n be a non-negative integer. Then the number of divisors of the form "4n + 1" of the number (10)10 . (11)11 . (13)13 is equal to .
Mathematics · Permutations and Combinations · Numerical
Q43.Let A = {n $\in$ N | n2 $\leq$ n + 10,000}, B = {3k + 1 | k $\in$ N} an dC = {2k | k $\in$ N}, then the sum of all the elements of the set A $\cap$ (B $-$ C) is equal to .
Mathematics · Sets and Relations · Numerical
Q44.If $A = 100110111$ and M = A + A2 + A3 + ....... + A20, then the sum of all the elements of the matrix M is equal to …
Mathematics · Matrices and Determinants · Numerical
Q45.An electron and proton are separated by a large distance. The electron starts approaching the proton with energy 3 eV. The proton captures the electron and forms a hydrogen atom in second excited state. The resulting photon is incident on…
Physics · Dual Nature of Radiation · MCQ
Q46.The expected graphical representation of the variation of angle of deviation ' $δ$ ' with angle of incidence 'i' in a prism is :
Physics · Geometrical Optics · MCQ
Q47.A raindrop with radius R = 0.2 mm falls from a cloud at a height h = 2000 m above the ground. Assume that the drop is spherical throughout its fall and the force of buoyance may be neglected, then the terminal speed attained by the…
Physics · Properties of Matter · MCQ
Q48.One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27 $^{\circ}$ C to 37 $^{\circ}$ C. If the ideal gas is composed of polyatomic molecule that has 4 vibrational modes, which of the following is…
Physics · Heat and Thermodynamics · MCQ
Q49.An object of mass 0.5 kg is executing simple harmonic motion. It amplitude is 5 cm and time period (T) is 0.2 s. What will be the potential energy of the object at an instant $t = \frac{T}{4} s$ starting from mean position. Assume that the…
Physics · Simple Harmonic Motion · MCQ
Q50.Match List I with List II. Choose the correct answer from the options given below Includes table
Physics · Capacitor · MCQ
Q51.Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is :… Includes diagram
Physics · Work Power and Energy · MCQ
Q52.A 100 $Ω$ resistance, a 0.1 $μ$ F capacitor and an inductor are connected in series across a 250 V supply at variable frequency. Calculate the value of inductance of inductor at which resonance will occur. Given that the resonant…
Physics · Alternating Current · MCQ
Q53.A simple pendulum of mass 'm', length 'l' and charge '+ q' suspended in the electric field produced by two conducting parallel plates as shown. The value of deflection of pendulum in equilibrium position will be Includes diagram
Physics · Capacitor · MCQ
Q54.Find the truth table for the function Y of A and B represented in the following figure. Includes diagram
Physics · Electronic Devices · MCQ
Q55.Figure A and B shown to long straight wires of circular cross-section (a and b with a < b), carrying current I which is uniformly distributed across the cross-section. The magnitude of magnetic field B varies with radius r and can be… Includes diagram
Physics · Magnetics · MCQ
Q56.Two identical particles of mass 1 kg each go round a circle of radius R, under the action of their mutual gravitational attraction. The angular speed of each particle is :
Physics · Gravitation · MCQ
Q57.What will be the magnitude of electric field at point O as shown in the figure? Each side of the figure is l and perpendicular to each other? Includes diagram
Physics · Electrostatics · MCQ
Q58.A physical quantity 'y' is represented by the formula $y = m^{2} r^{- 4} g^{x} l^{- \frac{3}{2}}$ If the percentage errors found in y, m, r, l and g are 18, 1, 0.5, 4 and p respectively, then find the value of x and p.
Physics · Units and Measurements · MCQ
Q59.An automobile of mass 'm' accelerates starting from origin and initially at rest, while the engine supplies constant power P. The position is given as a function of time by :
Physics · Work Power and Energy · MCQ
Q60.The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0 $\times$ 103 km. Find the mass of Mars. ${G i v e n \frac{4 π ^{2}}{G} = 6 \times 10^{11} N^{- 1} m^{- 2} k g^{2}}$ …
Physics · Gravitation · MCQ
Q61.A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation $F = F_{0} [1 - (\frac{t - T}{T})^{2}]$ Where F0 and T…
Physics · Laws of Motion · MCQ
Q62.The resistance of a conductor at 15 $^{\circ}$ C is 16 $Ω$ and at 100 $^{\circ}$ C is 20 $Ω$ . What will be the temperature coefficient of resistance of the conductor?
Physics · Current Electricity · MCQ
Q63.In the given figure, two wheels P and Q are connected by a belt B. The radius of P is three times as that of Q. In case of same rotational kinetic energy, the ratio of rotational inertias $(\frac{I _{1}}{I _{2}})$ will… Includes diagram
Physics · Rotational Motion · Numerical
Q64.The difference in the number of waves when yellow light propagates through air and vacuum columns of the same thickness is one. The thickness of the air column is mm. [Refractive index of air = 1.0003, wavelength…
Physics · Wave Optics · Numerical
Q65.In the given figure the magnetic flux through the loop increases according to the relation $ϕ$ B(t) = 10t2 + 20t, where $ϕ$ B is in milliwebers and t is in seconds. The magnitude of current through R = 2 $Ω$ resistor at t = 5 s… Includes diagram
Physics · Electromagnetic Induction · Numerical
Q66.A particle executes simple harmonic motion represented by displacement function as x(t) = A sin( $ω$ t + $ϕ$ ) If the position and velocity of the particle at t = 0 s are 2 cm and 2 $ω$ cm s $-$ 1 respectively, then its…
Physics · Simple Harmonic Motion · Numerical
Q67.A swimmer wants to cross a river from point A to point B. Line AB makes an angle of 30 $^{\circ}$ with the flow of river. Magnitude of velocity of the swimmer is same as that of the river. The angle $θ$ with the line AB should be … Includes diagram
Physics · Motion in A Plane · Numerical
Q68.For the circuit shown, the value of current at time t = 3.2 s will be A. [Voltage distribution V(t) is shown by Fig. (1) and the circuit is shown in Fig. (2)] Includes diagram
Physics · Current Electricity · Numerical
Q69.A small block slides down from the top of hemisphere of radius R = 3 m as shown in the figure. The height 'h' at which the block will lose contact with the surface of the sphere is m. (Assume there is no friction… Includes diagram
Physics · Work Power and Energy · Numerical
Q70.The K $α$ X-ray of molybdenum has wavelength 0.071 nm. If the energy of a molybdenum atoms with a K electron knocked out is 27.5 keV, the energy of this atom when an L electron is knocked out will be keV.…
Physics · Atoms and Nuclei · Numerical
Q71.The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a depth 'h' below the water level. The value of 'h' for which the emerging steam of water strikes the ground at the maximum…
Physics · Properties of Matter · Numerical