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2021 · 1 Sep · Shift 2

74 questions · JEE Main

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2021 · 1 Sep · Shift 2

2021 · 1 Sep · Shift 2

74 questions · JEE Main

Chemistry23 questions Mathematics23 questions Physics28 questions

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

Q1.Experimentally reducing a functional group cannot be done by which one of the following reagents?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q2.Which one of the following given graphs represents the variation of rate constant (k) with temperature (T) for an endothermic reaction?
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q3.Identify A in the following reaction. Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.In the following sequence of reactions a compound A, (molecular formula $C_{6} H_{12} O_{2}$ ) with a straight chain structure gives a $C_{4}$ carboxylic acid. A is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q5.The Crystal Field Stabilization Energy (CFSE) and magnetic moment (spin-only) of an octahedral aqua complex of a metal ion (Mz+) are $-$ 0.8 $Δ$ 0 and 3.87 BM, respectively. Identify (Mz+) :
Chemistry · Coordination Compounds · MCQ
Q6.Which one of the following compounds is aromatic in nature?
Chemistry · Basics of Organic Chemistry · Multiple correct
Q7.In the given chemical reaction, colors of the $F e^{2 +}$ and $F e^{3 +}$ ions, are respectively : 5 $F e^{2 +}$ + MnO $_{4}^{-}$ + 8H+ $\to$ $M n^{2 +}$ + 4 $H_{2} O$ + 5 $F e^{3 +}$
Chemistry · D and F Block Elements · MCQ
Q8.The stereoisomers that are formed by electrophilic addition of bromine to trans-but-2-ene is/are :
Chemistry · Hydrocarbons · MCQ
Q9.In the following sequence of reactions, The compounds B and C respectively are :- Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q10.Given below are two statements : Statement I : The nucleophilic addition of sodium hydrogen sulphite to an aldehyde or a ketone involves proton transfer to form a stable ion. Statement II : The nucleophilic addition of hydrogen cyanide to…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q11.Which one of the following gives the most stable Diazonium salt?
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.The potassium ferrocyanide solution gives a Prussian blue colour, when added to :
Chemistry · Coordination Compounds · MCQ
Q13.Number of paramagnetic oxides among the following given oxides is . $L i_{2} O$ , $C a O$ , $N a_{2} O_{2}$ , $K O_{2}$ , $M g O$ and $K_{2} O$
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q14.Identify the element for which electronic configuration in +3 oxidation state is [Ar] $3 d_{5}$ :
Chemistry · D and F Block Elements · MCQ
Q15.The molar solubility of $Z n (O H)_{2}$ in 0.1 M $N a O H$ solution is x $\times$ 10 $-$ 18 M. The value of x is (Nearest integer) (Given : The solubility product of $Z n (O H)_{2}$ is 2 $\times$ 10 $-$ 20)
Chemistry · Ionic Equilibrium · Numerical
Q16.For the reaction, 2 $N O_{2}$ (g) $⇌$ $N_{2} O_{4}$ (g), when $Δ$ S = $-$ 176.0 JK $-$ 1 and $Δ$ H = $-$ 57.8 kJ mol $-$ 1, the magnitude of $Δ$ G at 298 K for the reaction is kJ mol $-$ 1.…
Chemistry · Thermodynamics · Numerical
Q17.The sum of oxidation states of two silver ions in $[A g (N H_{3})_{2}]$ $[A g (C N)_{2}]$ complex is .
Chemistry · Coordination Compounds · Numerical
Q18.The number of atoms in 8g of sodium is x $\times$ 1023. The value of x is . (Nearest integer) [Given : NA = 6.02 $\times$ 1023 mol $-$ 1 Atomic mass of Na = 23.0 u]
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q19.If 80 g of copper sulphate $C u S O_{4}$ . 5 $H_{2} O$ is dissolved in deionised water to make 5L of solution. The concentration of the copper sulphate solution is x $\times$ 10 $-$ 3 mol L $-$ 1. The value of x is .…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q20.A 50 watt bulb emits monochromatic red light of wavelength of 795 nm. The number of photons emitted per second by the bulb is x $\times$ 1020. The value of x is . [Given : h = 6.63 $\times$ 10 $-$ 34 Js and c =…
Chemistry · Structure of Atom · Numerical
Q21.The spin-only magnetic moment value of $B_{2}^{+}$ species is $\times$ 10 $-$ 2 BM. (Nearest integer) [Given : $3$ = 1.73]
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q22.If the conductivity of mercury at 0 $^{\circ}$ C is 1.07 $\times$ 106 S m $-$ 1 and the resistance of a cell containing mercury is 0.243 $Ω$ , then the cell constant of the cell is x $\times$ 104 m $-$ 1. The value of x is …
Chemistry · Electrochemistry · Numerical
Q23.A peptide synthesized by the reactions of one molecule each of Glycine, Leucine, Aspartic acid and Histidine will have peptide linkages.
Chemistry · Biomolecules · Numerical
Q24.Let f : R $\to$ R be a continuous function. Then $x \to \frac{π}{4} lim \frac{\frac{π}{4} 2 \int s e c ^{2} x f ( x ) d x}{x ^{2} - \frac{π ^{2}}{16}}$ is equal to :
Mathematics · Definite Integration · MCQ
Q25. $cos^{- 1} (cos (- 5)) + sin^{- 1} (sin (6)) - tan^{- 1} (tan (12))$ is equal to : (The inverse trigonometric functions take the principal values)
Mathematics · Inverse Trigonometric Functions · MCQ
Q26.Consider the system of linear equations $-$ x + y + 2z = 0 3x $-$ ay + 5z = 1 2x $-$ 2y $-$ az = 7 Let S1 be the set of all a $\in$ R for which the system is inconsistent and S2 be the set of all a $\in$ R for which the system has…
Mathematics · Matrices and Determinants · MCQ
Q27.Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is : Includes diagram
Mathematics · Probability · MCQ
Q28.If y = y(x) is the solution curve of the differential equation $x^{2} d y + (y - \frac{1}{x}) d x = 0$ ; x > 0 and y(1) = 1, then $y (\frac{1}{2})$ is equal to :
Mathematics · Differential Equations · MCQ
Q29.The function $f (x) = x^{3} - 6 x^{2} + a x + b$ is such that $f (2) = f (4) = 0$ . Consider two statements : Statement 1 : there exists x1, x2 $\in$ (2, 4), x1 < x2, such that f'(x1) = $-$ 1 and f'(x2) = 0. Statement 2 : there exists x3, x4 $\in$ …
Mathematics · Application of Derivatives · MCQ
Q30.Let $J_{n, m} = 0 \int \frac{1}{2} \frac{x ^{n}}{x ^{m} - 1} d x$ , $\forall$ n > m and n, m $\in$ N. Consider a matrix $A = [a_{ij}]_{3 \times 3}$ where $a_{ij} = {j_{6 + i, 3} - j_{i + 3, 3}, 0, i \leq j i > j$ …
Mathematics · Definite Integration · MCQ
Q31.The area, enclosed by the curves $y = sin x + cos x$ and $y = ∣ cos x - sin x ∣$ and the lines $x = 0, x = \frac{π}{2}$ , is :
Mathematics · Area Under the Curves · MCQ
Q32.The distance of line $3 y - 2 z - 1 = 0 = 3 x - z + 4$ from the point (2, $-$ 1, 6) is :
Mathematics · 3D Geometry · MCQ
Q33.The numbers of pairs (a, b) of real numbers, such that whenever $α$ is a root of the equation x2 + ax + b = 0, $α$ 2 $-$ 2 is also a root of this equation, is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q34.Let P1, P2, ......, P15 be 15 points on a circle. The number of distinct triangles formed by points Pi, Pj, Pk such that i +j + k $e$ 15, is :
Mathematics · Permutations and Combinations · MCQ
Q35.The range of the function, $f (x) = lo g_{5} (3 + cos (\frac{3 π}{4} + x) + cos (\frac{π}{4} + x) + cos (\frac{π}{4} - x) - cos (\frac{3 π}{4} - x))$ …
Mathematics · Functions · MCQ
Q36.Let a1, a2, ..........., a21 be an AP such that $n = 1 \sum 20 \frac{1}{a _{n} a _{n + 1}} = \frac{4}{9}$ . If the sum of this AP is 189, then a6a16 is equal to :
Mathematics · Sequences and Series · MCQ
Q37.The function f(x), that satisfies the condition $f (x) = x + 0 \int π /2 sin x . cos y f (y) d y$ , is :
Mathematics · Definite Integration · MCQ
Q38.Let X be a random variable with distribution. If the mean of X is 2.3 and variance of X is $σ$ 2, then 100 $σ$ 2 is equal to : Includes table
Mathematics · Probability · Numerical
Q39.Let $f (x) = x^{6} + 2 x^{4} + x^{3} + 2 x + 3$ , x $\in$ R. Then the natural number n for which $x \to 1 lim \frac{x ^{n} f ( 1 ) - f ( x )}{x - 1} = 44$ is .
Mathematics · Limits Continuity and Differentiability · Numerical
Q40.If for the complex numbers z satisfying | z $-$ 2 $-$ 2i | $\leq$ 1, the maximum value of | 3iz + 6 | is attained at a + ib, then a + b is equal to .
Mathematics · Complex Numbers · Numerical
Q41.Let the points of intersections of the lines x $-$ y + 1 = 0, x $-$ 2y + 3 = 0 and 2x $-$ 5y + 11 = 0 are the mid points of the sides of a triangle $Δ$ ABC. Then, the area of the $Δ$ ABC is .
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q42.Let f(x) be a polynomial of degree 3 such that $f (k) = - \frac{2}{k}$ for k = 2, 3, 4, 5. Then the value of 52 $-$ 10f(10) is equal to :
Mathematics · Quadratic Equation and Inequalities · Numerical
Q43.All the arrangements, with or without meaning, of the word FARMER are written excluding any word that has two R appearing together. The arrangements are listed serially in the alphabetic order as in the English dictionary. Then the serial…
Mathematics · Permutations and Combinations · Numerical
Q44.Let $a = 2 i - j + 2 k$ and $b = i + 2 j - k$ . Let a vector $v$ be in the plane containing $a$ and $b$ .…
Mathematics · Vector Algebra · Numerical
Q45.Let [t] denote the greatest integer $\leq$ t. The number of points where the function $f (x) = [x] x^{2} - 1 + sin (\frac{π}{[ x ] + 3}) - [x + 1], x \in (- 2, 2)$ is not continuous is …
Mathematics · Limits Continuity and Differentiability · Numerical
Q46.A man starts walking from the point P( $-$ 3, 4), touches the x-axis at R, and then turns to reach at the point Q(0, 2). The man is walking at a constant speed. If the man reaches the point Q in the minimum time, then $50 ((P R)^{2} + (R Q)^{2})$ …
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q47.A cube is placed inside an electric field, $E = 150 y^{2} j$ . The side of the cube is 0.5 m and is placed in the field as shown in the given figure. The charge inside the cube is : Includes diagram
Physics · Electrostatics · MCQ
Q48.A square loop of side 20 cm and resistance 1 $Ω$ is moved towards right with a constant speed v0. The right arm of the loop is in a uniform magnetic field of 5T. The field is perpendicular to the plane of the loop and is going into… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q49.The temperature of an ideal gas in 3-dimensions is 300 K. The corresponding de-Broglie wavelength of the electron approximately at 300 K, is : [me = mass of electron = 9 $\times$ 10 $-$ 31 kg, h = Planck constant = 6.6 $\times$ 6.6…
Physics · Dual Nature of Radiation · MCQ
Q50.A body of mass 'm' dropped from a height 'h' reaches the ground with a speed of 0.8 $g h$ . The value of workdone by the air-friction is :
Physics · Work Power and Energy · MCQ
Q51.The ranges and heights for two projectiles projected with the same initial velocity at angles 42 $^{\circ}$ and 48 $^{\circ}$ with the horizontal are R1, R2 and H1, H2 respectively. Choose the correct option :
Physics · Motion in A Plane · MCQ
Q52.A block of mass m slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration of the block with respect to the wedge is : Given m = 8 kg, M = 16 kg Assume all the surfaces shown in the figure to be… Includes diagram
Physics · Laws of Motion · MCQ
Q53.Due to cold weather a 1 m water pipe of cross-sectional area 1 cm2 is filled with ice at $-$ 10 $^{\circ}$ C. Resistive heating is used to melt the ice. Current of 0.5A is passed through 4 k $Ω$ resistance. Assuming that all the heat…
Physics · Current Electricity · MCQ
Q54.A student determined Young's Modulus of elasticity using the formula $Y = \frac{M g L ^{3}}{4 b d ^{3} δ}$ . The value of g is taken to be 9.8 m/s2, without any significant error, his observation are as following. Then the fractional… Includes table
Physics · Units and Measurements · MCQ
Q55.Two resistors R1 = (4 $\pm$ 0.8) $Ω$ and R2 = (4 $\pm$ 0.4) $Ω$ are connected in parallel. The equivalent resistance of their parallel combination will be :
Physics · Current Electricity · MCQ
Q56.Following plots show magnetization (M) vs magnetizing field (H) and magnetic susceptibility ( $χ$ ) vs temperature (T) graph : Which of the following combination will be represented by a diamagnetic material? Includes diagram
Physics · Magnetic Properties of Matter · MCQ
Q57.A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water ( $μ$ = 4/3) into it while looking at the surface of water from the above. When he feels that the tumbler is half filled, he stops pouring…
Physics · Geometrical Optics · MCQ
Q58.In the given figure, each diode has a forward bias resistance of 30 $Ω$ and infinite resistance in reverse bias. The current I1 will be : Includes diagram
Physics · Electronic Devices · MCQ
Q59.For the given circuit the current i through the battery when the key in closed and the steady state has been reached is . Includes diagram
Physics · Alternating Current · MCQ
Q60.An object of mass 'm' is being moved with a constant velocity under the action of an applied force of 2N along a frictionless surface with following surface profile. The correct applied force vs distance graph will be : Includes diagram
Physics · Laws of Motion · MCQ
Q61.A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system is shown in the figure. A simple pendulum of length 4 m has the same period of oscillation as the spring system. What… Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q62.A capacitor is connected to a 20 V battery through a resistance of 10 $Ω$ . It is found that the potential difference across the capacitor rises to 2 V in 1 $μ$ s. The capacitance of the capacitor is $μ$ F.…
Physics · Capacitor · MCQ
Q63.Four particles each of mass M, move along a circle of radius R under the action of their mutual gravitational attraction as shown in figure. The speed of each particle is : Includes diagram
Physics · Gravitation · MCQ
Q64.Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by E = 20cos(2 $\times$ 1010 t $-$ 200x) V/m. The dielectric constant of the medium is equal to : (Take $μ$ r = 1)
Physics · Electromagnetic Waves · MCQ
Q65.There are two infinitely long straight current carrying conductors and they are held at right angles to each other so that their common ends meet at the origin as shown in the figure given below. The ratio of current in both conductor is 1… Includes diagram
Physics · Magnetics · MCQ
Q66.The temperature of 3.00 mol of an ideal diatomic gas is increased by 40.0 $^{\circ}$ C without changing the pressure of the gas. The molecules in the gas rotate but do not oscillate. If the ratio of change in internal energy of the gas to…
Physics · Heat and Thermodynamics · Numerical
Q67.The width of one of the two slits in a Young's double slit experiment is three times the other slit. If the amplitude of the light coming from a slit is proportional to the slit-width, the ratio of minimum to maximum intensity in the…
Physics · Wave Optics · Numerical
Q68.Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are 1 hour and 8 hours respectively. The radius of the orbit of nearer satellite is 2 $\times$ 103 km. The angular…
Physics · Gravitation · Numerical
Q69.When a body slides down from rest along a smooth inclined plane making an angle of 30 $^{\circ}$ with the horizontal, it takes time T. When the same body slides down from the rest along a rough inclined plane making the same angle and…
Physics · Laws of Motion · Numerical
Q70.The average translational kinetic energy of N2 gas molecules at ............. $^{\circ}$ C becomes equal to the K.E. of an electron accelerated from rest through a potential difference of 0.1 volt. (Given kB = 1.38 $\times$ 10 $-$ 23 J/K)…
Physics · Heat and Thermodynamics · Numerical
Q71.A uniform heating wire of resistance 36 $Ω$ is connected across a potential difference of 240 V. The wire is then cut into half and potential difference of 240V is applied across each half separately. The ratio of power dissipation in…
Physics · Current Electricity · Numerical
Q72.A steel rod with y = 2.0 $\times$ 1011 Nm $-$ 2 and $α$ = 10 $-$ 5 $^{\circ}$ C $-$ 1 of length 4 m and area of cross-section 10 cm2 is heated from 0 $^{\circ}$ C to 400 $^{\circ}$ C without being allowed to extend. The tension produced in…
Physics · Properties of Matter · Numerical
Q73.A 2 kg steel rod of length 0.6 m is clamped on a table vertically at its lower end and is free to rotate in vertical plane. The upper end is pushed so that the rod falls under gravity, ignoring the friction due to clamping at its lower…
Physics · Rotational Motion · Numerical
Q74.An engine is attached to a wagon through a shock absorber of length 1.5 m. The system with a total mass of 40,000 kg is moving with a speed of 72 kmh $-$ 1 when the brakes are applied to bring it to rest. In the process of the system being…
Physics · Work Power and Energy · Numerical