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2021 · 25 Jul · Shift 2

71 questions · JEE Main

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2021 · 25 Jul · Shift 2

2021 · 25 Jul · Shift 2

71 questions · JEE Main

Chemistry23 questions Mathematics23 questions Physics25 questions

Chemical Bonding and Molecular StructureChemistry · 2 questions Coordination CompoundsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Compounds Containing NitrogenChemistry · 3 questions D and F Block ElementsChemistry · 3 questions BiomoleculesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Redox ReactionsChemistry · 1 questions ThermodynamicsChemistry · 1 questions Structure of AtomChemistry · 1 questions HydrocarbonsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions Binomial TheoremMathematics · 4 questions StatisticsMathematics · 1 questions Definite IntegrationMathematics · 2 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Vector AlgebraMathematics · 3 questions Quadratic Equation and InequalitiesMathematics · 3 questions Matrices and DeterminantsMathematics · 2 questions FunctionsMathematics · 1 questions ProbabilityMathematics · 2 questions Permutations and CombinationsMathematics · 1 questions Differential EquationsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Complex NumbersMathematics · 1 questions Motion in A Straight LinePhysics · 3 questions Simple Harmonic MotionPhysics · 1 questions Laws of MotionPhysics · 1 questions Geometrical OpticsPhysics · 2 questions MagneticsPhysics · 1 questions Alternating CurrentPhysics · 2 questions CapacitorPhysics · 1 questions GravitationPhysics · 1 questions ElectrostaticsPhysics · 1 questions Properties of MatterPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Dual Nature of RadiationPhysics · 3 questions Vector AlgebraPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions Current ElectricityPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Rotational MotionPhysics · 1 questions Electronic DevicesPhysics · 1 questions

Q1.In the following the correct bond order sequence is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.Which one of the following metal complexes is most stable?
Chemistry · Coordination Compounds · MCQ
Q3.The ionic radii of $F^{-}$ and $O^{2 -}$ respectively are 1.33 $A o$ and 1.4 $A o$ , while the covalent radius of $N$ is 0.74 $A o$ . The correct statement for the ionic radius of $N^{3 -}$ from the…
Chemistry · Periodic Table and Periodicity · MCQ
Q4.The correct decreasing order of densities of the following compounds is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q5.Consider the above reaction, the product "P" is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q6.A reaction of benzonitrile with one equivalent $C H_{3} M g B r$ followed by hydrolysis produces a yellow liquid "P". The compound "P" will give positive .
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.The spin only magnetic moments (in BM) for free $T i^{3 +}$ , $V^{2 +}$ and $S c^{3 +}$ ions respectively are : (At.No. Sc : 21, Ti : 22, V : 23)
Chemistry · D and F Block Elements · MCQ
Q8.Which one of the following is correct structure for cytosine?
Chemistry · Biomolecules · MCQ
Q9.Identify the species having one $π$ -bond and maximum number of canonical forms from the following :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q10.Which one of the following metals forms interstitial hydride easily?
Chemistry · D and F Block Elements · MCQ
Q11.Maleic anhydride can prepared by : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q12.[where $E t \Rightarrow - C_{2} H_{5}^{t} B u \Rightarrow (C H_{3})_{3} C -$ ] Consider the above reaction sequence, Product "A" and Product "B" formed respectively are : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q13.What is the major product "P" of the following reaction? Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q14.Identify the process in which change in the oxidation state is five :
Chemistry · Redox Reactions · MCQ
Q15.Which among the following is the strongest acid ?
Chemistry · Basics of Organic Chemistry · MCQ
Q16.A system does 200 J of work and at the same time absorbs 150 J of heat. The magnitude of the change in internal energy is J. (Nearest integer)
Chemistry · Thermodynamics · Numerical
Q17.An accelerated electron has a speed of 5 $\times$ 106 ms $-$ 1 with an uncertainty of 0.02%. The uncertainty in finding its location while in motion is x $\times$ 10 $-$ 9 m. The value of x is . (Nearest integer)…
Chemistry · Structure of Atom · Numerical
Q18.Number of electrons present in 4f orbital of $H o^{3 +}$ ion is . (Given Atomic No. of Ho = 67)
Chemistry · D and F Block Elements · Numerical
Q19.Consider the above chemical reaction. The total number of stereoisomers possible for Product 'P' is . Includes diagram
Chemistry · Hydrocarbons · Numerical
Q20.For a chemical reaction A $\to$ B, it was found that concentration of B is increased by 0.2 mol L $-$ in 30 min. The average rate of the reaction is $\times$ 10 $-$ 1 mol L $-$ 1 h $-$ 1. (in nearest integer)
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q21.Assuming that $B a (O H)_{2}$ is completely ionised in aqueous solution under the given conditions the concentration of $H_{3} O^{+}$ ions in 0.005 M aqueous solution of $B a (O H)_{2}$ at 298 K is $\times$ 10 $-$ 12 mol L $-$ 1.…
Chemistry · Chemical Equilibrium · Numerical
Q22.0.8 g of an organic compound was analyzed by Kjeldahl's method for the estimation of nitrogen. If the percentage of nitrogen in the compound was found to be 42%, then mL of 1 M $H_{2} S O_{4}$ would have been…
Chemistry · Practical Organic Chemistry · Numerical
Q23.When 3.00 g of a substance 'X' is dissolved in 100 g of $C C l_{4}$ , it raises the boiling point by 0.60 K. The molar mass of the substance 'X' is g mol $-$ 1. (Nearest integer). [Given Kb for $C C l_{4}$ is 5.0 K kg mol…
Chemistry · Solutions · Numerical
Q24.The sum of all those terms which are rational numbers in the expansion of (21/3 + 31/4)12 is :
Mathematics · Binomial Theorem · MCQ
Q25.The first of the two samples in a group has 100 items with mean 15 and standard deviation 3. If the whole group has 250 items with mean 15.6 and standard deviation $13.44$ , then the standard deviation of the second sample is :
Mathematics · Statistics · MCQ
Q26.If $f (x) = ⎩ ⎨ ⎧ 0 \int x (5 + ∣ 1 - t ∣) d t, 5 x + 1, x > 2 x \leq 2$ , then
Mathematics · Definite Integration · MCQ
Q27.If the greatest value of the term independent of 'x' in the expansion of $(x sin α + a \frac{c o s α}{x})^{10}$ is $\frac{10 !}{( 5 !) ^{2}}$ , then the value of 'a' is equal to :
Mathematics · Binomial Theorem · MCQ
Q28.The value of $cot \frac{π}{24}$ is :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q29.The lowest integer which is greater than $(1 + \frac{1}{10 ^{100}})^{10^{100}}$ is .
Mathematics · Binomial Theorem · MCQ
Q30.The value of the integral $- 1 \int 1 lo g (x + x^{2} + 1) d x$ is :
Mathematics · Definite Integration · MCQ
Q31.Let a, b and c be distinct positive numbers. If the vectors $a i + a j + c k, i + k$ and $c i + c j + b k$ are co-planar, then c is equal to :
Mathematics · Vector Algebra · MCQ
Q32.If [x] be the greatest integer less than or equal to x, then $n = 8 \sum 100 [\frac{( - 1 ) ^{n} n}{2}]$ is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q33.The number of distinct real roots of $sin x cos x cos x cos x sin x cos x cos x cos x sin x = 0$ in the interval $- \frac{π}{4} \leq x \leq \frac{π}{4}$ …
Mathematics · Matrices and Determinants · MCQ
Q34.If $a = 2, b = 5$ and $a \times b$ = 8, then $a . b$ is equal to :
Mathematics · Vector Algebra · MCQ
Q35.The number of real solutions of the equation, x2 $-$ |x| $-$ 12 = 0 is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q36.Consider function f : A $\to$ B and g : B $\to$ C (A, B, C $\subseteq$ R) such that (gof) $-$ 1 exists, then :
Mathematics · Functions · MCQ
Q37.If $P = [1 \frac{1}{2} 01]$ , then P50 is :
Mathematics · Matrices and Determinants · MCQ
Q38.Let X be a random variable such that the probability function of a distribution is given by $P (X = 0) = \frac{1}{2}, P (X = j) = \frac{1}{3 ^{j}} (j = 1, 2, 3, ..., \infty)$ . Then the mean of the distribution and P(X is positive and even)…
Mathematics · Probability · MCQ
Q39.If $^{n} P_{r} =^{n} P_{r + 1}$ and $^{n} C_{r} =^{n} C_{r - 1}$ , then the value of r is equal to :
Mathematics · Permutations and Combinations · MCQ
Q40.Let y = y(x) be the solution of the differential equation xdy = (y + x3 cosx)dx with y( $π$ ) = 0, then $y (\frac{π}{2})$ is equal to :
Mathematics · Differential Equations · MCQ
Q41.Consider the function where P(x) is a polynomial such that P'' (x) is always a constant and P(3) = 9. If f(x) is continuous at x = 2, then P(5) is equal to . Includes diagram
Mathematics · Limits Continuity and Differentiability · Numerical
Q42.The equation of a circle is Re(z2) + 2(Im(z))2 + 2Re(z) = 0, where z = x + iy. A line which passes through the center of the given circle and the vertex of the parabola, x2 $-$ 6x $-$ y + 13 = 0, has y-intercept equal to …
Mathematics · Complex Numbers · Numerical
Q43.If $(a + 3 b)$ is perpendicular to $(7 a - 5 b)$ and $(a - 4 b)$ is perpendicular to $(7 a - 2 b)$ …
Mathematics · Vector Algebra · Numerical
Q44.If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a4 + b4 + c4 is equal to .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q45.A fair coin is tossed n-times such that the probability of getting at least one head is at least 0.9. Then the minimum value of n is .
Mathematics · Probability · Numerical
Q46.If the co-efficient of x7 and x8 in the expansion of $(2 + \frac{x}{3})^{n}$ are equal, then the value of n is equal to .
Mathematics · Binomial Theorem · Numerical
Q47.The relation between time t and distance x for a moving body is given as t = mx2 + nx, where m and n are constants. The retardation of the motion is : (When v stands for velocity)
Physics · Motion in A Straight Line · MCQ
Q48.In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the particle is midway between mean and extreme position.
Physics · Simple Harmonic Motion · MCQ
Q49.A force $F = (40 i + 10 j) N$ acts on a body of mass 5 kg. If the body starts from rest, its position vector $r$ at time t = 10 s, will be :
Physics · Laws of Motion · MCQ
Q50.A prism of refractive index $μ$ and angle of prism A is placed in the position of minimum angle of deviation. If minimum angle of deviation is also A, then in terms of refractive index
Physics · Geometrical Optics · MCQ
Q51.Two ions having same mass have charges in the ratio 1 : 2. They are projected normally in a uniform magnetic field with their speeds in the ratio 2 : 3. The ratio of the radii of their circular trajectories is :
Physics · Magnetics · MCQ
Q52.A 10 $Ω$ resistance is connected across 220V $-$ 50 Hz AC supply. The time taken by the current to change from its maximum value to the rms value is :
Physics · Alternating Current · MCQ
Q53.A balloon was moving upwards with a uniform velocity of 10 m/s. An object of finite mass is dropped from the balloon when it was at a height of 75 m from the ground level. The height of the balloon from the ground when object strikes the…
Physics · Motion in A Straight Line · MCQ
Q54.If qf is the free charge on the capacitor plates and qb is the bound charge on the dielectric slab of dielectric constant k placed between the capacitor plates, then bound charge qb an be expressed as :
Physics · Capacitor · MCQ
Q55.Consider a planet in some solar system which has a mass double the mass of earth and density equal to the average density of earth. If the weight of an object on earth is W, the weight of the same object on that planet will be :
Physics · Gravitation · MCQ
Q56.Two ideal electric dipoles A and B, having their dipole moment p1 and p2 respectively are placed on a plane with their centres at O as shown in the figure. At point C on the axis of dipole A, the resultant electric field is making an angle… Includes diagram
Physics · Electrostatics · MCQ
Q57.Two spherical soap bubbles of radii r1 and r2 in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to :
Physics · Properties of Matter · MCQ
Q58.The force is given in terms of time t and displacement x by the equation F = A cos Bx + C sin Dt The dimensional formula of $\frac{A D}{B}$ is :
Physics · Units and Measurements · MCQ
Q59.An electron moving with speed v and a photon moving with speed c, have same D-Broglie wavelength. The ratio of kinetic energy of electron to that of photon is :
Physics · Dual Nature of Radiation · MCQ
Q60.The instantaneous velocity of a particle moving in a straight line is given as $V = α t + β t^{2}$ , where $α$ and $β$ are constants. The distance travelled by the particle between 1s and 2s is :
Physics · Motion in A Straight Line · MCQ
Q61.A ray of light entering from air into a denser medium of refractive index $\frac{4}{3}$ , as shown in figure. The light ray suffers total internal reflection at the adjacent surface as shown. The maximum value of angle $θ$ should be… Includes diagram
Physics · Geometrical Optics · MCQ
Q62.When radiation of wavelength $λ$ is incident on a metallic surface, the stopping potential of ejected photoelectrons is 4.8 V. If the same surface is illuminated by radiation of double the previous wavelength, then the stopping…
Physics · Dual Nature of Radiation · MCQ
Q63.Two vectors $X$ and $Y$ have equal magnitude. The magnitude of ( $X - Y$ ) is n times the magnitude of ( $X$ + $Y$ ). The angle between $X$ …
Physics · Vector Algebra · MCQ
Q64.A system consists of two types of gas molecules A and B having same number density 2 $\times$ 1025/m3. The diameter of A and B are 10 $A o$ and 5 $A o$ respectively. They suffer collision at room temperature.…
Physics · Heat and Thermodynamics · Numerical
Q65.A light beam of wavelength 500 nm is incident on a metal having work function of 1.25 eV, placed in a magnetic field of intensity B. The electrons emitted perpendicular to the magnetic field B, with maximum kinetic energy are bent into…
Physics · Dual Nature of Radiation · Numerical
Q66.A 16 $Ω$ wire is bend to form a square loop. A 9V supply having internal resistance of 1 $Ω$ is connected across one of its sides. The potential drop across the diagonals of the square loop is $\times$ …
Physics · Current Electricity · Numerical
Q67.Two circuits are shown in the figure (a) & (b). At a frequency of rad/s the average power dissipated in one cycle will be same in both the circuits. Includes diagram
Physics · Alternating Current · Numerical
Q68.From the given data, the amount of energy required to break the nucleus of aluminium $_{13}^{27}$ Al is x $\times$ 10 $-$ 3 J. Mass of neutron = 1.00866 u Mass of proton = 1.00726 u Mass of Aluminium nucleus =…
Physics · Atoms and Nuclei · Numerical
Q69.A force of F = (5y + 20) $j$ N acts on a particle. The work done by this force when the particle is moved from y = 0 m to y = 10 m is J.
Physics · Work Power and Energy · Numerical
Q70.A solid disc of radius 20 cm and mass 10 kg is rotating with an angular velocity of 600 rpm, about an axis normal to its circular plane and passing through its centre of mass. The retarding torque required to bring the disc at rest in 10 s…
Physics · Rotational Motion · Numerical
Q71.In a semiconductor, the number density of intrinsic charge carries at 27 $^{\circ}$ C is 1.5 $\times$ 1016/m3. If the semiconductor is doped with impurity atom, the hole density increases to 4.5 $\times$ 1022/m3. The electron density in the…
Physics · Electronic Devices · Numerical