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2021 · 17 Mar · Shift 2

70 questions · JEE Main

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2021 · 17 Mar · Shift 2

2021 · 17 Mar · Shift 2

70 questions · JEE Main

Chemistry20 questions Mathematics22 questions Physics28 questions

BiomoleculesChemistry · 2 questions HydrocarbonsChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions ThermodynamicsChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Coordination CompoundsChemistry · 2 questions D and F Block ElementsChemistry · 2 questions ElectrochemistryChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions SolutionsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Permutations and CombinationsMathematics · 1 questions ProbabilityMathematics · 1 questions Definite IntegrationMathematics · 3 questions Complex NumbersMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Differential EquationsMathematics · 2 questions Vector AlgebraMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Application of DerivativesMathematics · 2 questions Matrices and DeterminantsMathematics · 3 questions Binomial TheoremMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions StatisticsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions WavesPhysics · 1 questions Electronic DevicesPhysics · 1 questions Alternating CurrentPhysics · 2 questions Atoms and NucleiPhysics · 2 questions MagneticsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Current ElectricityPhysics · 2 questions Rotational MotionPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Motion in A Straight LinePhysics · 2 questions Center of MassPhysics · 2 questions GravitationPhysics · 1 questions Properties of MatterPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Electromagnetic WavesPhysics · 2 questions ElectrostaticsPhysics · 1 questions CapacitorPhysics · 1 questions Laws of MotionPhysics · 2 questions

Q1. $C_{12} H_{22} O_{11} + H_{2} O E n z y m e A Gl u c o s e C_{6} H_{12} O_{6} + F r u c t ose C_{6} H_{12} O_{6} Gl u c o s e C_{6} H_{12} O_{6} E n z y m e B 2 C_{2} H_{5} O H + 2 C O_{2}$ …
Chemistry · Biomolecules · MCQ
Q2.Choose the correct statement regarding the formation of carbocations A and B given. Includes diagram
Chemistry · Hydrocarbons · MCQ
Q3.Nitrogen can be estimated by Kjeldahl's method for which of the following compound?
Chemistry · Basics of Organic Chemistry · MCQ
Q4.Amongst the following, the linear species is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q5.The correct pair(s) of the ambident nucleophiles is(are) (A) $A g C N$ / $K C N$ (B) $R C O O A g$ / $R C O O K$ (C) $A g N O_{2}$ / $K N O_{2}$ (D) $A g I$ / $K I$
Chemistry · Haloalkanes and Haloarenes · MCQ
Q6.Given below are two statements : Statement I : 2-methylbutane on oxidation with $K M n O_{4}$ gives 2-methylbutan-2-ol. Statement II : n-alkanes can be easily oxidised to corresponding alcohols with $K M n O_{4}$ . Choose the correct option :
Chemistry · Hydrocarbons · MCQ
Q7.During which of the following processes, does entropy decrease? (A) Freezing of water to ice at 0 $^{\circ}$ C (B) Freezing of water to ice at $-$ 10 $^{\circ}$ C (C) $N_{2}$ (g) + 3 $H_{2}$ (g) $\to$ 2 $N H_{3}$ (g) (D) Adsorption of $C O$ (g) on lead…
Chemistry · Thermodynamics · MCQ
Q8.In the above reaction, the structural formula of (A), ''X'' and ''Y'' respectively are : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q9.Primary, secondary and tertiary amines can be separated using:
Chemistry · Compounds Containing Nitrogen · MCQ
Q10.Match List - I with List - II : Choose the correct answer from the options given below : Includes table
Chemistry · Coordination Compounds · MCQ
Q11.Fructose is an example of :
Chemistry · Biomolecules · MCQ
Q12.The common positive oxidation states for an element with atomic number 24, are :
Chemistry · D and F Block Elements · MCQ
Q13.A KCl solution of conductivity 0.14 S m $-$ 1 shows a resistance of 4.19 $Ω$ in a conductivity cell. If the same cell is filled with an HCl solution, the resistance drops to 1.03 $Ω$ . The conductivity of the HCl solution is $\times$ …
Chemistry · Electrochemistry · Numerical
Q14.On complete reaction of $F e C l_{3}$ with oxalic acid in aqueous solution containing $K O H$ , resulted in the formation of product A. The secondary valency of $F e$ in the product A is . (Round off to the Nearest…
Chemistry · Coordination Compounds · Numerical
Q15.Consider the above reaction. The percentage yield of amide product is . (Round off to the Nearest Integer). (Given : Atomic mass : C : 12.0 u, H : 1.0 u, N : 14.0 u, O : 16.0 u, Cl : 35.5 u) Includes diagram
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q16.The reaction 2 $A$ + $B_{2}$ $\to$ 2 $A B$ is an elementary reaction. For a certain quantity of reactants, if the volume of the reaction vessel is reduced by a factor of 3, the rate of the reaction increases by a factor of …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q17.Consider the reaction $N_{2} O_{4} (g) ⇌ 2 N O_{2} (g)$ The temperature at which KC = 20.4 and KP = 600.1, is K. (Round off to the Nearest Integer). [Assume all gases are…
Chemistry · Chemical Equilibrium · Numerical
Q18.In the ground state of atomic Fe(Z = 26), the spin-only magnetic moment is $\times$ 10 $-$ 1 BM. (Round off to the Nearest Integer). [Given : $3$ = 1.73, $2$ = 1.41 ]
Chemistry · D and F Block Elements · Numerical
Q19.A 1 molal $K_{4} F e (C N)_{6}$ solution has a degree of dissociation of 0.4. Its boiling point is equal to that of another solution which contains 18.1 weight percent of a non electrolytic solute A. The molar mass of A is …
Chemistry · Solutions · Numerical
Q20.The total number of C-C sigma bond/s in mesityl oxide ( $C_{6} H_{10} O$ ) is . (Round off to the Nearest Integer).
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q21.If the sides AB, BC and CA of a triangle ABC have 3, 5 and 6 interior points respectively, then the total number of triangles that can be constructed using these points as vertices, is equal to :
Mathematics · Permutations and Combinations · MCQ
Q22.Let a computer program generate only the digits 0 and 1 to form a string of binary numbers with probability of occurrence of 0 at even places be $\frac{1}{2}$ and probability of occurrence of 0 at the odd place be $\frac{1}{3}$ . Then the…
Mathematics · Probability · MCQ
Q23.Let f : R $\to$ R be defined as f(x) = e $-$ xsinx. If F : [0, 1] $\to$ R is a differentiable function with that F(x) = $\int_{0}^{x} f (t) d t$ , then the value of $\int_{0}^{1} (F^{'} (x) + f (x)) e^{x} d x$ lies in the interval
Mathematics · Definite Integration · MCQ
Q24.Let S1, S2 and S3 be three sets defined as S1 = {z $\in$ C : |z $-$ 1| $\leq 2$ } S2 = {z $\in$ C : Re((1 $-$ i)z) $\geq$ 1} S3 = {z $\in$ C : Im(z) $\leq$ 1} Then the set S1 $\cap$ S2 $\cap$ S3 :
Mathematics · Complex Numbers · MCQ
Q25.The number of solutions of the equation $sin^{- 1} [x^{2} + \frac{1}{3}] + cos^{- 1} [x^{2} - \frac{2}{3}] = x^{2}$ , for x $\in$ [ $-$ 1, 1], and [x] denotes the greatest integer less than or equal to…
Mathematics · Inverse Trigonometric Functions · MCQ
Q26.If the curve y = y(x) is the solution of the differential equation $2 (x^{2} + x^{5/4}) d y - y (x + x^{1/4}) d x = 2 x^{9/4} d x$ , x > 0 which passes through the point $(1, 1 - \frac{4}{3} lo g_{e} 2)$ , then the value…
Mathematics · Differential Equations · MCQ
Q27.Let O be the origin. Let $O P = x i + y j - k$ and $O Q = - i + 2 j + 3 x k$ , x, y $\in$ R, x > 0, be such that $P Q = 20$ …
Mathematics · Vector Algebra · MCQ
Q28.If the integral $\int_{0}^{10} \frac{[ s i n 2 π x ]}{e ^{x - [x]}} d x = α e^{- 1} + β e^{- \frac{1}{2}} + γ$ , where $α$ , $β$ , $γ$ are integers and [x] denotes the greatest integer less than or equal…
Mathematics · Definite Integration · MCQ
Q29.The value of the limit $θ \to 0 lim \frac{t a n ( π c o s ^{2} θ )}{s i n ( 2 π s i n ^{2} θ )}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q30.Consider the function $f : R \to R$ defined by $f (x) = ⎩ ⎨ ⎧ (2 - sin (\frac{1}{x})) ∣ x ∣ 0 x \neq = 0 x = 0$ Then $f$ is :
Mathematics · Application of Derivatives · MCQ
Q31.The value of $n \to \infty lim \frac{[ r ] + [ 2 r ] + ... + [ n r ]}{n ^{2}}$ , where r is a non-zero real number and [r] denotes the greatest integer less than or equal to r, is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q32.If x, y, z are in arithmetic progression with common difference d, x $e$ 3d, and the determinant of the matrix $345 4252 k x y z$ …
Mathematics · Matrices and Determinants · MCQ
Q33.Let y = y(x) be the solution of the differential equation $cos x (3 sin x + cos x + 3) d y = (1 + y sin x (3 sin x + cos x + 3)) d x, 0 \leq x \leq \frac{π}{2}, y (0) = 0$ . Then, $y (\frac{π}{3})$ is equal to :
Mathematics · Differential Equations · MCQ
Q34.Let $A = [a c b d]$ and $B = [α β] e [00]$ such that AB = B and…
Mathematics · Matrices and Determinants · Numerical
Q35.Let the coefficients of third, fourth and fifth terms in the expansion of $(x + \frac{a}{x ^{2}})^{n}, x e 0$ , be in the ratio 12 : 8 : 3. Then the term independent of x in the expansion, is equal to …
Mathematics · Binomial Theorem · Numerical
Q36.Let tan $α$ , tan $β$ and tan $γ$ ; $α$ , $β$ , $γ e \frac{( 2 n - 1 ) π}{2}$ , n $\in$ N be the slopes of three line segments OA, OB and OC, respectively, where O is origin. If circumcentre of $Δ$ ABC coincides…
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q37.Let $x$ be a vector in the plane containing vectors $a = 2 i - j + k$ and $b = i + 2 j - k$ . If the vector $x$ is…
Mathematics · Vector Algebra · Numerical
Q38.Let $I_{n} = \int_{1}^{e} x^{19} (lo g ∣ x ∣)^{n} d x$ , where n $\in$ N. If (20)I10 = $α$ I9 + $β$ I8, for natural numbers $α$ and $β$ , then $α - β$ equals to .
Mathematics · Definite Integration · Numerical
Q39.If 1, log10(4x $-$ 2) and log10 $(4^{x} + \frac{18}{5})$ are in arithmetic progression for a real number x, then the value of the determinant $2 (x - \frac{1}{2}) 1 x x - 1 01 x^{2} x 0$ …
Mathematics · Matrices and Determinants · Numerical
Q40.Consider a set of 3n numbers having variance 4. In this set, the mean of first 2n numbers is 6 and the mean of the remaining n numbers is 3. A new set is constructed by adding 1 into each of first 2n numbers, and subtracting 1 from each of…
Mathematics · Statistics · Numerical
Q41.Let f : [ $-$ 1, 1] $\to$ R be defined as f(x) = ax2 + bx + c for all x $\in$ [ $-$ 1, 1], where a, b, c $\in$ R such that f( $-$ 1) = 2, f'( $-$ 1) = 1 for x $\in$ ( $-$ 1, 1) the maximum value of f ''(x) is $\frac{1}{2}$ . If f(x) $\le…
Mathematics · Application of Derivatives · Numerical
Q42.Let $f : [- 3, 1] \to R$ be given as $f (x) = {min {(x + 6), x^{2}} max {x, x^{2}} - 3 \leq x \leq 0 0 \leq x \leq 1$ If the area bounded by $y = f (x)$ and $x$ -axis is $A$ …
Mathematics · Area Under the Curves · Numerical
Q43.A sound wave of frequency 245 Hz travels with the speed of 300 ms $-$ 1 along the positive x-axis. Each point of the wave moves to and from through a total distance of 6 cm. What will be the mathematical expression of this travelling wave?
Physics · Waves · MCQ
Q44.Which one of the following will be the output of the given circuit? Includes diagram
Physics · Electronic Devices · MCQ
Q45.Match List - I with List - II Choose the most appropriate answer from the options given below : Includes table
Physics · Alternating Current · MCQ
Q46.The atomic hydrogen emits a line spectrum consisting of various series. Which series of hydrogen atomic spectra is lying in the visible region?
Physics · Atoms and Nuclei · MCQ
Q47.A hairpin like shape as shown in figure is made by bending a long current carrying wire. What is the magnitude of a magnetic field at point P which lies on the centre of the semicircle? Includes diagram
Physics · Magnetics · MCQ
Q48.Two identical photocathodes receive the light of frequencies f1 and f2 respectively. If the velocities of the photo-electrons coming out are v1 and v2 respectively, then
Physics · Dual Nature of Radiation · MCQ
Q49.If one mole of the polyatomic gas is having two vibrational modes and $β$ is the ratio of molar specific heats for polyatomic gas $(β = \frac{C _{P}}{C _{V}})$ then the value of $β$ is :
Physics · Heat and Thermodynamics · MCQ
Q50.Two cells of emf 2E and E with internal resistance r1 and r2 respectively are connected in series to an external resistor R (see figure). The value of R, at which the potential difference across the terminals of the first cell becomes zero… Includes diagram
Physics · Current Electricity · MCQ
Q51.What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved?
Physics · Alternating Current · MCQ
Q52.A sphere of mass 2 kg and radius 0.5 m is rolling with an initial speed of 1 ms-1 goes up an inclined plane which makes an angle of 30 $^{\circ}$ with the horizontal plane, without slipping. How long will the sphere take to return to the… Includes diagram
Physics · Rotational Motion · MCQ
Q53.Two particles A and B of equal masses are suspended from two massless springs of spring constants K1 and K2 respectively. If the maximum velocities during oscillations are equal, the ratio of the amplitude of A and B is
Physics · Simple Harmonic Motion · MCQ
Q54.The velocity of a particle is v = v0 + gt + Ft2. Its position is x = 0 at t = 0; then its displacement after time (t = 1) is :
Physics · Motion in A Straight Line · MCQ
Q55.A rubber ball is released from a height of 5 m above the floor. It bounces back repeatedly, always rising to $\frac{81}{100}$ of the height through which it falls. Find the average speed of the ball. (Take g = 10 ms $-$ 2)
Physics · Motion in A Straight Line · MCQ
Q56.The four arms of a Wheatstone bridge have resistances as shown in the figure. A galvanometer of 15 $Ω$ resistance is connected across BD. Calculate the current through the galvanometer when a potential difference of 10V is maintained… Includes diagram
Physics · Current Electricity · MCQ
Q57.Which one is the correct option for the two different thermodynamic processes? Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q58.Two identical blocks A and B each of mass m resting on the smooth horizontal floor are connected by a light spring of natural length L and spring constant K. A third block C of mass m moving with a speed v along the line joining A and B… Includes diagram
Physics · Center of Mass · MCQ
Q59.A geostationary satellite is orbiting around an arbitrary planet 'P' at a height of 11R above the surface of 'P', R being the radius of 'P'. The time period of another satellite in hours at a height of 2R from the surface of 'P' is …
Physics · Gravitation · MCQ
Q60.An object is located at 2 km beneath the surface of the water. If the fractional compression $\frac{Δ V}{V}$ is 1.36%, the ratio of hydraulic stress to the corresponding hydraulic strain will be . [Given :…
Physics · Properties of Matter · MCQ
Q61.Suppose you have taken a dilute solution of oleic acid in such a way that its concentration becomes 0.01 cm3 of oleic acid per cm3 of the solution. Then you make a thin film of this solution (monomolecular thickness) of area 4 cm2 by…
Physics · Properties of Matter · Numerical
Q62.The disc of mass M with uniform surface mass density $σ$ is shown in the figure. The centre of mass of the quarter disc (the shaded area) is at the position $\frac{x}{3} \frac{a}{π}, \frac{x}{3} \frac{a}{π}$ where x is … Includes diagram
Physics · Center of Mass · Numerical
Q63.The image of an object placed in air formed by a convex refracting surface is at a distance of 10 m behind the surface. The image is real and is at $\frac{2 ^{r d}}{3}$ of the distance of the object from the surface. The wavelength of…
Physics · Geometrical Optics · Numerical
Q64.The electric field intensity produced by the radiation coming from a 100 W bulb at a distance of 3 m is E. The electric field intensity produced by the radiation coming from 60W at the same distance is $\frac{x}{5}$ E. Where the…
Physics · Electromagnetic Waves · Numerical
Q65.The electric field in a region is given by $E = \frac{2}{5} E_{0} i + \frac{3}{5} E_{0} j$ with $E_{0} = 4.0 \times 1 0^{3} \frac{N}{C}$ . The flux of this field through a rectangular surface area 0.4 m2…
Physics · Electrostatics · Numerical
Q66.A 2 $μ$ F capacitor C1 is first charged to a potential difference of 10V using a battery. Then the battery is removed and the capacitor is connected to an uncharged capacitor C2 of 8 $μ$ F. The charge in C2 on equilibrium condition is $μ$ … Includes diagram
Physics · Capacitor · Numerical
Q67.A boy of mass 4 kg is standing on a piece of wood having mass 5 kg. If the coefficient of friction between the wood and the floor is 0.5, the maximum force that the boy can exert on the rope so that the piece of wood does not move from its… Includes diagram
Physics · Laws of Motion · Numerical
Q68.A body of mass 1 kg rests on a horizontal floor with which it has a coefficient of static friction $\frac{1}{3}$ . It is desired to make the body move by applying the minimum possible force F N. The value of F will be …
Physics · Laws of Motion · Numerical
Q69.A particle of mass m moves in a circular orbit in a central potential field U(r) = U0r4. If Bohr's quantization conditions are applied, radii of possible orbitals rn vary with $n^{\frac{1}{α}}$ , where $α$ is …
Physics · Atoms and Nuclei · Numerical
Q70.Seawater at a frequency f = 9 $\times$ 102 Hz, has permittivity $ε$ = 80 $ε$ 0 and resistivity $ρ$ = 0.25 $Ω$ m. Imagine a parallel plate capacitor is immersed in seawater and is driven by an alternating voltage…
Physics · Electromagnetic Waves · Numerical