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2021 · 16 Mar · Shift 1

71 questions · JEE Main

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2021 · 16 Mar · Shift 1

2021 · 16 Mar · Shift 1

71 questions · JEE Main

Chemistry22 questions Mathematics21 questions Physics28 questions

Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions D and F Block ElementsChemistry · 2 questions Basics of Organic ChemistryChemistry · 2 questions P Block ElementsChemistry · 1 questions HydrocarbonsChemistry · 1 questions BiomoleculesChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 3 questions Chemical EquilibriumChemistry · 1 questions SolutionsChemistry · 1 questions Structure of AtomChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Vector AlgebraMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 3 questions 3D GeometryMathematics · 1 questions Sets and RelationsMathematics · 1 questions Complex NumbersMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Binomial TheoremMathematics · 1 questions HyperbolaMathematics · 1 questions StatisticsMathematics · 1 questions FunctionsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions ProbabilityMathematics · 1 questions Differential EquationsMathematics · 2 questions Definite IntegrationMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Properties of MatterPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Laws of MotionPhysics · 1 questions Circular MotionPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Center of MassPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions CapacitorPhysics · 1 questions Electromagnetic WavesPhysics · 2 questions GravitationPhysics · 1 questions Current ElectricityPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Alternating CurrentPhysics · 2 questions Units and MeasurementsPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions Electronic DevicesPhysics · 2 questions Wave OpticsPhysics · 1 questions Rotational MotionPhysics · 2 questions Atoms and NucleiPhysics · 1 questions

Q1.The product ''P'' in the above reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q2.Given below are two statements : one is labeled as Assertion A and the other is labelled as Reason R : Assertion A : The H $-$ O $-$ H bond angle in water molecule is 104.5 $^{\circ}$ . Reason R : The lone pair - lone pair repulsion of…
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q3.In the above chemical reaction, intermediate ''X'' and reagent/condition ''A'' are : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.Assertion A : Enol form of acetone [ $C H_{3} C O C H_{3}$ ] exists in < 0.1% quantity. However, the enol form of acetyl acetone [ $C H_{3} C O C H_{2} O C C H_{3}$ ] exists in approximately 15% quantity. Reason R : Enol form of acetyl acetone is stabilized by…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q5.Given below are two statements : Statement I : The Eo value for $C e^{4 +}$ / $C e^{3 +}$ is + 1.74 V. Statement II : Ce is more stable in $C e^{4 +}$ state than $C e^{3 +}$ state. In the light of the above statements, choose the most appropriate…
Chemistry · D and F Block Elements · MCQ
Q6.In chromotography technique, the purification of compound is independent of :
Chemistry · Basics of Organic Chemistry · MCQ
Q7.A group of 15 element, which is a metal and forms a hydride with strongest reducing power among group 15 hydrides. The element is :
Chemistry · P Block Elements · MCQ
Q8.Among the following, the aromatic compounds are : Choose the correct answer from the following options : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q9.Which of the following reactions DOES NOT involve Hoffmann bromamide degradation?
Chemistry · Compounds Containing Nitrogen · MCQ
Q10.Which of the following is Lindlar catalyst?
Chemistry · Hydrocarbons · MCQ
Q11.Which among the following pairs of Vitamins is stored in our body relatively for longer duration?
Chemistry · Biomolecules · MCQ
Q12.Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R : Assertion A : Size of $B k^{3 +}$ ion is less than $N p^{3 +}$ ion. Reason R : The above is a consequence of the lanthanoid contraction. In…
Chemistry · D and F Block Elements · MCQ
Q13.The products ''A'' and ''B'' formed in above reactions are : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q14.The equivalents of ethylene diamine required to replace the neutral ligands from the coordination sphere of the trans-complex of $C o C l_{3}$ . 4 $N H_{3}$ is . (Round off to the Nearest Integer).
Chemistry · Coordination Compounds · Numerical
Q15.Two salts $A_{2} X$ and $M X$ have the same value of solubility product of 4.0 $\times$ 10 $-$ 12. The ratio of their molar solubilities i.e. $\frac{S ( A _{2} X )}{S ( M X )}$ = . (Round off to the Nearest Integer)
Chemistry · Ionic Equilibrium · Numerical
Q16.Complete combustion of 750 g of an organic compound provides 420 g of $C O_{2}$ and 210 g of $H_{2} O$ . The percentage composition of carbon and hydrogen in organic compound is 15.3 and respectively. (Round off to the…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q17.For the reaction $A (g) ⇌ B (g)$ at 495 K, $Δ$ rG $^{\circ}$ = $-$ 9.478 kJ mol $-$ 1. If we start the reaction in a closed container at 495 K with 22 millimoles of A, the amount of B in the equilibrium mixture is …
Chemistry · Chemical Equilibrium · Numerical
Q18. $2 M n O_{4}^{-} + b C_{2} O_{4}^{2 -} + c H^{+} \to x M n^{2 +} + y C O_{2} + z H_{2} O$ If the above equation is balanced with integer coefficients, the value of c is . (Round off to the Nearest Integer).
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q19.A 6.50 molal solution of KOH (aq.) has a density of 1.89 g cm $-$ 3. The molarity of the solution is mol dm $-$ 3. (Round off to the Nearest Integer). [Atomic masses : K : 39.0 u; O : 16.0 u; H : 1.0 u]
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q20. $A B_{2}$ is 10% dissociated in water to $A^{2 +}$ and B $-$ . The boiling point of a 10.0 molal aqueous solution of $A B_{2}$ is $^{\circ}$ C. (Round off to the Nearest Integer). [Given : Molal elevation constant of water…
Chemistry · Solutions · Numerical
Q21.When light of wavelength 248 nm falls on a metal of threshold energy 3.0 eV, the de-Broglie wavelength of emitted electrons is $A o$ . (Round off to the Nearest Integer). [ Use : $3$ = 1.73, h =…
Chemistry · Structure of Atom · Numerical
Q22.The decomposition of formic acid on gold surface follows first order kinetics. If the rate constant at 300 K is 1.0 $\times$ 10 $-$ 3 s $-$ 1 and the activation energy Ea = 11.488 kJ mol $-$ 1, the rate constant at 200 K is $\times$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q23.Let a vector $α i + β j$ be obtained by rotating the vector $3 i + j$ by an angle 45 $^{\circ}$ about the origin in counterclockwise direction in the first quadrant. Then the area of…
Mathematics · Vector Algebra · MCQ
Q24.Let $S_{k} = r = 1 \sum k tan^{- 1} (\frac{6 ^{r}}{2 ^{2 r + 1} + 3 ^{2 r + 1}})$ . Then $k \to \infty lim S_{k}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q25.Let the position vectors of two points P and Q be 3 $i - j$ + 2 $k$ and $i$ + 2 $j -$ 4 $k$ , respectively. Let R and S be two points such that the direction ratios of lines PR and QS are…
Mathematics · 3D Geometry · MCQ
Q26.The number of elements in the set {x $\in$ R : (|x| $-$ 3) |x + 4| = 6} is equal to :
Mathematics · Sets and Relations · MCQ
Q27.Let a complex number z, |z| $e$ 1, satisfy $lo g_{\frac{1}{2}} (\frac{∣ z ∣ + 11}{( ∣ z ∣ - 1 ) ^{2}}) \leq 2$ . Then, the largest value of |z| is equal to .
Mathematics · Complex Numbers · MCQ
Q28.Let $A = [i - i - i i], i = - 1$ . Then, the system of linear equations $A^{8} [x y] = [864]$ …
Mathematics · Matrices and Determinants · MCQ
Q29.If n is the number of irrational terms in the expansion of $(3^{1/4} + 5^{1/8})^{60}$ , then (n $-$ 1) is divisible by :
Mathematics · Binomial Theorem · MCQ
Q30.The locus of the midpoints of the chord of the circle, x2 + y2 = 25 which is tangent to the hyperbola, $\frac{x ^{2}}{9} - \frac{y ^{2}}{16} = 1$ is :
Mathematics · Hyperbola · MCQ
Q31.Let the functions f : R $\to$ R and g : R $\to$ R be defined as : $f (x) = {x + 2, x^{2}, x < 0 x \geq 0$ and $g (x) = {x^{3}, 3 x - 2, x < 1 x \geq 1$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q32.Consider three observations a, b, and c such that b = a + c. If the standard deviation of a + 2, b + 2, c + 2 is d, then which of the following is true?
Mathematics · Statistics · MCQ
Q33.The range of a $\in$ R for which the function f(x) = (4a $-$ 3)(x + loge 5) + 2(a $-$ 7) cot $(\frac{x}{2})$ sin2 $(\frac{x}{2})$ , x $e$ 2n $π$ , n $\in$ N has critical points, is :
Mathematics · Functions · MCQ
Q34.If for x $\in$ $(0, \frac{π}{2})$ , log10sinx + log10cosx = $-$ 1 and log10(sinx + cosx) = $\frac{1}{2}$ (log10 n $-$ 1), n > 0, then the value of n is equal to :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q35.A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing card is not a spade, is :
Mathematics · Probability · MCQ
Q36.If y = y(x) is the solution of the differential equation, $\frac{d y}{d x} + 2 y tan x = sin x, y (\frac{π}{3}) = 0$ , then the maximum value of the function y(x) over R is equal to:
Mathematics · Differential Equations · MCQ
Q37.Let the curve y = y(x) be the solution of the differential equation, $\frac{d y}{d x}$ = 2(x + 1). If the numerical value of area bounded by the curve y = y(x) and x-axis is $\frac{4 8}{3}$ , then the value of y(1) is equal to …
Mathematics · Differential Equations · Numerical
Q38.Let f : R $\to$ R be a continuous function such that f(x) + f(x + 1) = 2, for all x $\in$ R. If $I_{1} = 0 \int 8 f (x) d x$ and $I_{2} = - 1 \int 3 f (x) d x$ , then the value of I1 + 2I2 is equal to …
Mathematics · Definite Integration · Numerical
Q39.If the normal to the curve y(x) = $0 \int x (2 t^{2} - 15 t + 10) d t$ at a point (a, b) is parallel to the line x + 3y = $-$ 5, a > 1, then the value of | a + 6b | is equal to .
Mathematics · Definite Integration · Numerical
Q40.Consider an arithmetic series and a geometric series having four initial terms from the set {11, 8, 21, 16, 26, 32, 4}. If the last terms of these series are the maximum possible four digit numbers, then the number of common terms in these…
Mathematics · Sequences and Series · Numerical
Q41.If $x \to 0 lim \frac{a e ^{x} - b c o s x + c e ^{- x}}{x s i n x} = 2$ , then a + b + c is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical
Q42.Let z and $ω$ be two complex numbers such that $ω = z \overline{z} - 2 z + 2, \frac{z + i}{z - 3 i} = 1$ and Re( $ω$ ) has minimum value. Then, the minimum value of n $\in$ N for which $ω$ n is real, is…
Mathematics · Complex Numbers · Numerical
Q43.The total number of 3 $\times$ 3 matrices A having entries from the set {0, 1, 2, 3} such that the sum of all the diagonal entries of AAT is 9, is equal to .
Mathematics · Matrices and Determinants · Numerical
Q44.The pressure acting on a submarine is 3 $\times$ 105 Pa at a certain depth. If the depth is doubled, the percentage increase in the pressure acting on the submarine would be : (Assume that atmospheric pressure is 1 $\times$ 105 Pa density…
Physics · Properties of Matter · MCQ
Q45.The velocity-displacement graph describing the motion of bicycle is shown in the figure. The acceleration-displacement graph of the bicycle's motion is best described by : Includes diagram
Physics · Motion in A Straight Line · MCQ
Q46.A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle $θ$ as shown in figure. The coefficient of kinetic friction is $μ$ k. then, the block's acceleration 'a' is given by : (g is… Includes diagram
Physics · Laws of Motion · MCQ
Q47.A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20 cm. If the block takes 40 s to complete one round, the normal force by the side walls of the groove is :
Physics · Circular Motion · MCQ
Q48.Time period of a simple pendulum is T inside a lift when the lift is stationary. If the lift moves upwards with an acceleration g/2, the time period of pendulum will be :
Physics · Simple Harmonic Motion · MCQ
Q49.The angle of deviation through a prism is minimum when (A) Incident ray and emergent ray are symmetric to the prism. (B) The refracted ray inside the prism becomes parallel to its base (C) Angle of incidence is equal to that of the angle… Includes diagram
Physics · Geometrical Optics · MCQ
Q50.Four equal masses, m each are placed at the comers of a square of length (l) as shown in the figure. The moment of inertia of the system about an axis passing through A and parallel to DB would be : Includes diagram
Physics · Center of Mass · MCQ
Q51.In thermodynamics, heat and work are :
Physics · Heat and Thermodynamics · MCQ
Q52.For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used, which has the same area as the plates of the capacitor. The thickness of the dielectric slab is $\frac{3}{4}$ d,…
Physics · Capacitor · MCQ
Q53.A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y-direction. At a particular point in space and time, $B$ = 8.0 $\times$ 10 $-$ 8 $z$ T. The value of electric field at this point is :…
Physics · Electromagnetic Waves · MCQ
Q54.The maximum and minimum distances of a comet from the Sun are 1.6 $\times$ 1012 m and 8.0 $\times$ 1010 m respectively. If the speed of the comet at the nearest point is 6 $\times$ 104 ms $-$ 1, the speed at the farthest point is :
Physics · Gravitation · MCQ
Q55.A conducting wire of length 'l', area of cross-section A and electric resistivity $ρ$ is connected between the terminals of a battery. A potential difference V is developed between its ends, causing an electric current. If the length of…
Physics · Current Electricity · MCQ
Q56.For an electromagnetic wave travelling in free space, the relation between average energy densities due to electric (Ue) and magnetic (Um) fields is :
Physics · Electromagnetic Waves · MCQ
Q57.The stopping potential in the context of photoelectric effect depends on the following property of incident electromagnetic radiation :
Physics · Dual Nature of Radiation · MCQ
Q58.An RC circuit as shown in the figure is driven by a AC source generating a square wave. The output wave pattern monitored by CRO would look close to : Includes diagram
Physics · Alternating Current · MCQ
Q59.One main scale division of a vernier callipers is 'a' cm and nth division of the vernier scale coincide with (n $-$ 1)th division of the main scale. The least count of the callipers in mm is :
Physics · Units and Measurements · MCQ
Q60.A conducting bar of length L is free to slide on two parallel conducting rails as shown in the figure Two resistors R1 and R2 are connected across the ends of the rails. There is a uniform magnetic field $B$ pointing into… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q61.The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen and 44 g of carbon dioxide at absolute temperature T. Consider R as universal gas constant. The pressure of the mixture of gases is :
Physics · Heat and Thermodynamics · MCQ
Q62.The value of power dissipated across the zener diode (Vz = 15V) connected in the circuit as shown in the figure is x $\times$ 10 $-$ 1 watt. The value of x, to the nearest integer, is . Includes diagram
Physics · Electronic Devices · Numerical
Q63.A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelength of light used is 'x' nm. The value of 'x' to the nearest integer is .
Physics · Wave Optics · Numerical
Q64.In the figure given, the electric current flowing through the 5 k $Ω$ resistor is 'x' mA. The value of x to the nearest integer is . Includes diagram
Physics · Current Electricity · Numerical
Q65.Consider a 20 kg uniform circular disk of radius 0.2 m. It is pin supported at its center and is at rest initially. The disk is acted upon by a constant force F = 20 N through a massless string wrapped around is periphery as shown in the… Includes diagram
Physics · Rotational Motion · Numerical
Q66.The resistance R = $\frac{V}{I}$ , where V = (50 $\pm$ 2)V and I = (20 $\pm$ 0.2)A. The percentage error in R is 'x'%. The value of 'x' to the nearest integer is .
Physics · Units and Measurements · Numerical
Q67.A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which R = 8 $Ω$ , L = 24 mH and C = 60 $μ$ F. The value of power dissipated at resonant condition is 'x' kW. The value of x to the nearest integer is …
Physics · Alternating Current · Numerical
Q68.In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the output at Y would be 'x'. The value of x is . Includes diagram
Physics · Electronic Devices · Numerical
Q69.A ball of mass 10 kg moving with a velocity $103$ m s $-$ 1 along X-axis, hits another ball of mass 20 kg which is at rest. After collision, the first ball comes to rest and the second one disintegrates into two equal pieces. One of… Includes diagram
Physics · Center of Mass · Numerical
Q70.The first three spectral lines of H-atom in the Balmer series are given $λ$ 1, $λ$ 2, $λ$ 3 considering the Bohr atomic model, the wave lengths of first and third spectral lines $(\frac{λ _{1}}{λ _{3}})$ …
Physics · Atoms and Nuclei · Numerical
Q71.Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A vertical force $P$ of magnitude 100 N is applied at point A of the frame. Suppose the force is $P$ resolved… Includes diagram
Physics · Rotational Motion · Numerical