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2021 · 27 Aug · Shift 2

67 questions · JEE Main

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2021 · 27 Aug · Shift 2

2021 · 27 Aug · Shift 2

67 questions · JEE Main

Chemistry22 questions Mathematics19 questions Physics26 questions

D and F Block ElementsChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions ThermodynamicsChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions 3D GeometryMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Inverse Trigonometric FunctionsMathematics · 1 questions ParabolaMathematics · 1 questions Differential EquationsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Application of DerivativesMathematics · 1 questions CircleMathematics · 1 questions Area Under the CurvesMathematics · 1 questions DifferentiationMathematics · 1 questions Definite IntegrationMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions ProbabilityMathematics · 1 questions Complex NumbersMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Binomial TheoremMathematics · 1 questions StatisticsMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Geometrical OpticsPhysics · 1 questions Laws of MotionPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Rotational MotionPhysics · 1 questions CapacitorPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions GravitationPhysics · 1 questions Current ElectricityPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Units and MeasurementsPhysics · 2 questions MagneticsPhysics · 1 questions Motion in A PlanePhysics · 1 questions Wave OpticsPhysics · 1 questions ElectrostaticsPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Electronic DevicesPhysics · 1 questions Properties of MatterPhysics · 1 questions Center of MassPhysics · 1 questions Alternating CurrentPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions WavesPhysics · 1 questions

Q1.The addition of dilute $N a O H$ to $C r^{3 +}$ salt solution will give :
Chemistry · D and F Block Elements · MCQ
Q2.Given below are two statements : Statement I : Ethyl pent-4-yn-oate on reaction with $C H_{3} M g B r$ gives a 3 $^{\circ}$ -alcohol. Statement II : In this reaction one mole of ethyl pent-4-yn-oate utilizes two moles of $C H_{3} M g B r$ . In the light of…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3.The compound/s which will show significant intermolecular H-bonding is/are : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q4.Which one of the following reactions will not yield propionic acid?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q5.The correct order of ionic radii for the ions, $P^{3 -}$ , $S^{2 -}$ , $C a^{2 +}$ , $K^{+}$ , Cl $-$ is :
Chemistry · Periodic Table and Periodicity · MCQ
Q6.Which one of the following is the major product of the given reaction? Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.The major product (A) formed in the reaction given below is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q8.The major product of the following reaction, if it occurs by $S N_{2}$ mechanism is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q9.Potassium permanganate on heating at 513 K gives a product which is :
Chemistry · D and F Block Elements · MCQ
Q10.Which one of the following tests used for the identification of functional groups in organic compounds does not use copper reagent?
Chemistry · Practical Organic Chemistry · MCQ
Q11.Hydrolysis of sucrose gives :
Chemistry · Biomolecules · MCQ
Q12.The correct structures of A and B formed in the following reactions are : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q13.The first order rate constant for the decomposition of $C a C O_{3}$ at 700 K is 6.36 $\times$ 10 $-$ 3s $-$ 1 and activation energy is 209 kJ mol $-$ 1. Its rate constant (in s $-$ 1) at 600 K is x $\times$ 10 $-$ 6. The value of x is …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q14.The number of optical isomers possible for $[C r (C_{2} O_{4})_{3}]^{3 -}$ is .
Chemistry · Coordination Compounds · Numerical
Q15.Two flasks I and II shown below are connected by a valve of negligible volume. When the valve is opened, the final pressure of the system in bar is x $\times$ 10 $-$ 2. The value of x is . (Integer answer) [Assume… Includes diagram
Chemistry · Thermodynamics · Numerical
Q16.100 g of propane is completely reacted with 1000 g of oxygen. The mole fraction of carbon dioxide in the resulting mixture is x $\times$ 10 $-$ 2. The value of x is . (Nearest integer) [Atomic weight : H = 1.008;…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q17.40 g of glucose (Molar mass = 180) is mixed with 200 mL of water. The freezing point of solution is K. (Nearest integer) [Given : Kf = 1.86 K kg mol $-$ 1; Density of water = 1.00 g cm $-$ 3; Freezing point of…
Chemistry · Solutions · Numerical
Q18.The resistance of a conductivity cell with cell constant 1.14 cm $-$ 1, containing 0.001 M KCl at 298 K is 1500 $Ω$ . The molar conductivity of 0.001 M KCl solution at 298 K in S cm2 mol $-$ 1 is . (Integer…
Chemistry · Electrochemistry · Numerical
Q19.The number of photons emitted by a monochromatic (single frequency) infrared range finder of power 1 mW and wavelength of 1000 nm, in 0.1 second is x $\times$ 1013. The value of x is . (Nearest integer) (h = 6.63 $\times$ …
Chemistry · Structure of Atom · Numerical
Q20.When 5.1 g of solid $N H_{4} H S$ is introduced into a two litre evacuated flask at 27 $^{\circ}$ C, 20% of the solid decomposes into gaseous ammonia and hydrogen sulphide. The Kp for the reaction at 27 $^{\circ}$ C is x $\times$ 10 $-$ 2. The…
Chemistry · Chemical Equilibrium · Numerical
Q21.The number of species having non-pyramidal shape among the following is . (A) $S O_{3}$ (B) NO $_{3}^{-}$ (C) $P C l_{3}$ (D) CO $_{3}^{2 -}$
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q22.Data given for the following reaction is as follows : FeO(s) + C(graphite) $\to$ Fe(s) + CO(g) The minimum temperature in K at which the reaction becomes spontaneous is . (Integer answer) Includes table
Chemistry · Thermodynamics · Numerical
Q23.The angle between the straight lines, whose direction cosines are given by the equations 2l + 2m $-$ n = 0 and mn + nl + lm = 0, is :
Mathematics · 3D Geometry · MCQ
Q24.Let $A = [x + 1] [x] [x] [x + 2] [x + 3] [x + 2] [x + 3] [x + 3] [x + 4]$ , where [t] denotes the greatest integer less than or…
Mathematics · Matrices and Determinants · MCQ
Q25.Let M and m respectively be the maximum and minimum values of the function f(x) = tan $-$ 1 (sin x + cos x) in $[0, \frac{π}{2}]$ , then the value of tan(M $-$ m) is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q26.If two tangents drawn from a point P to the parabola y2 = 16(x $-$ 3) are at right angles, then the locus of point P is :
Mathematics · Parabola · MCQ
Q27.If the solution curve of the differential equation (2x $-$ 10y3)dy + ydx = 0, passes through the points (0, 1) and (2, $β$ ), then $β$ is a root of the equation :
Mathematics · Differential Equations · MCQ
Q28.Let [ $λ$ ] be the greatest integer less than or equal to $λ$ . The set of all values of $λ$ for which the system of linear equations x + y + z = 4, 3x + 2y + 5z = 3, 9x + 4y + (28 + [ $λ$ ])z = [ $λ$ ] has a…
Mathematics · Matrices and Determinants · MCQ
Q29.The set of all values of K > $-$ 1, for which the equation $(3 x^{2} + 4 x + 3)^{2} - (k + 1) (3 x^{2} + 4 x + 3) (3 x^{2} + 4 x + 2) + k (3 x^{2} + 4 x + 2)^{2} = 0$ has real roots, is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q30.A box open from top is made from a rectangular sheet of dimension a $\times$ b by cutting squares each of side x from each of the four corners and folding up the flaps. If the volume of the box is maximum, then x is equal to :
Mathematics · Application of Derivatives · MCQ
Q31.Let Z be the set of all integers, $A = {(x, y) \in Z \times Z : (x - 2)^{2} + y^{2} \leq 4}$ $B = {(x, y) \in Z \times Z : x^{2} + y^{2} \leq 4}$ $C = {(x, y) \in Z \times Z : (x - 2)^{2} + (y - 2)^{2} \leq 4}$ If the total number of…
Mathematics · Circle · MCQ
Q32.The area of the region bounded by the parabola (y $-$ 2)2 = (x $-$ 1), the tangent to it at the point whose ordinate is 3 and the x-axis is :
Mathematics · Area Under the Curves · MCQ
Q33.If $y (x) = cot^{- 1} (\frac{1 + s i n x + 1 - s i n x}{1 + s i n x - 1 - s i n x}), x \in (\frac{π}{2}, π)$ , then $\frac{d y}{d x}$ at $x = \frac{5 π}{6}$ is :
Mathematics · Differentiation · MCQ
Q34.The value of the integral $0 \int 1 \frac{x d x}{( 1 + x ) ( 1 + 3 x ) ( 3 + x )}$ is :
Mathematics · Definite Integration · MCQ
Q35.If $x \to \infty lim (x^{2} - x + 1 - a x) = b$ , then the ordered pair (a, b) is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q36.The probability distribution of random variable X is given by : Let p = P(1 < X < 4 | X < 3). If 5p = $λ$ K, then $λ$ equal to . Includes table
Mathematics · Probability · Numerical
Q37.Let z1 and z2 be two complex numbers such that $ar g (z_{1} - z_{2}) = \frac{π}{4}$ and z1, z2 satisfy the equation | z $-$ 3 | = Re(z). Then the imaginary part of z1 + z2 is equal to .
Mathematics · Complex Numbers · Numerical
Q38.Let S = {1, 2, 3, 4, 5, 6, 9}. Then the number of elements in the set T = {A $\subseteq$ S : A $e ϕ$ and the sum of all the elements of A is not a multiple of 3} is .
Mathematics · Permutations and Combinations · Numerical
Q39.3 $\times$ 722 + 2 $\times$ 1022 $-$ 44 when divided by 18 leaves the remainder .
Mathematics · Binomial Theorem · Numerical
Q40.An online exam is attempted by 50 candidates out of which 20 are boys. The average marks obtained by boys is 12 with a variance 2. The variance of marks obtained by 30 girls is also 2. The average marks of all 50 candidates is 15. If $μ$ …
Mathematics · Statistics · Numerical
Q41.If $\int \frac{2 e ^{x} + 3 e ^{- x}}{4 e ^{x} + 7 e ^{- x}} d x = \frac{1}{14} (ux + v lo g_{e} (4 e^{x} + 7 e^{- x})) + C$ , where C is a constant of integration, then u + v is equal to .
Mathematics · Indefinite Integrals · Numerical
Q42.Curved surfaces of a plano-convex lens of refractive index $μ$ 1 and a plano-concave lens of refractive index $μ$ 2 have equal radius of curvature as shown in figure. Find the ratio of radius of curvature to the focal length of the… Includes diagram
Physics · Geometrical Optics · MCQ
Q43.The boxes of masse 2 kg and 8 kg are connected by a massless string passing over smooth pulleys. Calculate the time taken by box of mass 8 kg to strike the ground starting from rest. (use g = 10 m/s2) Includes diagram
Physics · Laws of Motion · MCQ
Q44.Water drops are falling from a nozzle of a shower onto the floor, from a height of 9.8 m. The drops fall at a regular interval of time. When the first drop strikes the floor, at that instant, the third drop begins to fall. Locate the…
Physics · Motion in A Straight Line · MCQ
Q45.Two discs have moments of inertia I1 and I2 about their respective axes perpendicular to the plane and passing through the centre. They are rotating with angular speeds, $ω$ 1 and $ω$ 2 respectively and are brought into contact…
Physics · Rotational Motion · MCQ
Q46.Three capacitors C1 = 2 $μ$ F, C2 = 6 $μ$ F and C3 = 12 $μ$ F are connected as shown in figure. Find the ratio of the charges on capacitors C1, C2 and C3 respectively : Includes diagram
Physics · Capacitor · MCQ
Q47.if the rms speed of oxygen molecules at 0 $^{\circ}$ C is 160 m/s, find the rms speed of hydrogen molecules at 0 $^{\circ}$ C.
Physics · Heat and Thermodynamics · MCQ
Q48.A constant magnetic field of 1T is applied in the x > 0 region. A metallic circular ring of radius 1m is moving with a constant velocity of 1 m/s along the x-axis. At t = 0s, the centre of O of the ring is at x = $-$ 1m. What will be… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q49.A mass of 50 kg is placed at the centre of a uniform spherical shell of mass 100 kg and radius 50 m. If the gravitational potential at a point, 25 m from the centre is V kg/m. The value of V is :
Physics · Gravitation · MCQ
Q50.For full scale deflection of total 50 divisions, 50 mV voltage is required in galvanometer. The resistance of galvanometer if its current sensitivity is 2 div/mA will be :
Physics · Current Electricity · MCQ
Q51.A monochromatic neon lamp with wavelength of 670.5 nm illuminates a photo-sensitive material which has a stopping voltage of 0.48 V. What will be the stopping voltage if the source light is changed with another source of wavelength of…
Physics · Dual Nature of Radiation · MCQ
Q52.Match List - I with List - II. Choose the most appropriate answer from the options given below : Includes table
Physics · Units and Measurements · MCQ
Q53.If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density :
Physics · Units and Measurements · MCQ
Q54.A coaxial cable consists of an inner wire of radius 'a' surrounded by an outer shell of inner and outer radii 'b' and 'c' respectively. The inner wire carries an electric current i0, which is distributed uniformly across cross-sectional…
Physics · Magnetics · MCQ
Q55.The height of victoria falls is 63 m. What is the difference in temperature of water at the top and at the bottom of fall? [Given 1 cal = 4.2 J and specific heat of water = 1 cal g $-$ 1 $^{\circ}$ 0C $-$ 1]
Physics · Heat and Thermodynamics · MCQ
Q56.A player kicks a football with an initial speed of 25 ms $-$ 1 at an angle of 45 $^{\circ}$ from the ground. What are the maximum height and the time taken by the football to reach at the highest point during motion ? (Take g = 10 ms $-$ 2)
Physics · Motion in A Plane · MCQ
Q57.The light waves from two coherent sources have same intensity I1 = I2 = I0. In interference pattern the intensity of light at minima is zero. What will be the intensity of light at maxima?
Physics · Wave Optics · MCQ
Q58.Figure shows a rod AB, which is bent in a 120 $^{\circ}$ circular arc of radius R. A charge ( $-$ Q) is uniformly distributed over rod AB. What is the electric field $E$ at the centre of curvature O ? Includes diagram
Physics · Electrostatics · MCQ
Q59.Two simple harmonic motion, are represented by the equations $y_{1} = 10 sin (3 π t + \frac{π}{3})$ $y_{2} = 5 (sin 3 π t + 3 cos 3 π t)$ Ratio of amplitude of y1 to y2 = x : 1. The value of x is …
Physics · Simple Harmonic Motion · Numerical
Q60.X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with principal quantum number n = 6 ? The value of X is .
Physics · Atoms and Nuclei · Numerical
Q61.A zener diode of power rating 2W is to be used as a voltage regulator. If the zener diode has a breakdown of 10 V and it has to regulate voltage fluctuated between 6 V and 14 V, the value of Rs for safe operation should be $Ω$ … Includes diagram
Physics · Electronic Devices · Numerical
Q62.Wires W1 and W2 are made of same material having the breaking stress of 1.25 $\times$ 109 N/m2. W1 and W2 have cross-sectional area of 8 $\times$ 10 $-$ 7 m2 and 4 $\times$ 10 $-$ 7 m2, respectively. Masses of 20 kg and 10 kg hang from… Includes diagram
Physics · Properties of Matter · Numerical
Q63.A bullet of 10 g, moving with velocity v, collides head-on with the stationary bob of a pendulum and recoils with velocity 100 m/s. The length of the pendulum is 0.5 m and mass of the bob is 1 kg. The minimum value of v = … Includes diagram
Physics · Center of Mass · Numerical
Q64.An ac circuit has an inductor and a resistor resistance R in series, such that XL = 3R. Now, a capacitor is added in series such that XC = 2R. The ratio of new power factor with the old power factor of the circuit is $5 : x$ . The…
Physics · Alternating Current · Numerical
Q65.The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch is open and switch is closed is x : 8. The value of x is . Includes diagram
Physics · Current Electricity · Numerical
Q66.A plane electromagnetic wave with frequency of 30 MHz travels in free space. At particular point in space and time, electric field is 6 V/m. The magnetic field at this point will be x $\times$ 10 $-$ 8 T. The value of x is …
Physics · Electromagnetic Waves · Numerical
Q67.A tuning fork is vibrating at 250 Hz. The length of the shortest closed organ pipe that will resonate with the tuning fork will be cm. (Take speed of sound in air as 340 ms $-$ 1)
Physics · Waves · Numerical