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2021 · 25 Feb · Shift 1

72 questions · JEE Main

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2021 · 25 Feb · Shift 1

2021 · 25 Feb · Shift 1

72 questions · JEE Main

Chemistry23 questions Mathematics22 questions Physics27 questions

Ionic EquilibriumChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions Structure of AtomChemistry · 1 questions HydrocarbonsChemistry · 2 questions D and F Block ElementsChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions BiomoleculesChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 2 questions Coordination CompoundsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions ThermodynamicsChemistry · 2 questions Redox ReactionsChemistry · 1 questions SolutionsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions ProbabilityMathematics · 2 questions 3D GeometryMathematics · 2 questions Definite IntegrationMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions Differential EquationsMathematics · 1 questions FunctionsMathematics · 1 questions Complex NumbersMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Indefinite IntegralsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions HyperbolaMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Vector AlgebraMathematics · 1 questions Application of DerivativesMathematics · 1 questions MagneticsPhysics · 2 questions GravitationPhysics · 3 questions Dual Nature of RadiationPhysics · 1 questions Alternating CurrentPhysics · 3 questions Units and MeasurementsPhysics · 2 questions Wave OpticsPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Heat and ThermodynamicsPhysics · 4 questions Simple Harmonic MotionPhysics · 1 questions Electronic DevicesPhysics · 1 questions WavesPhysics · 1 questions Vector AlgebraPhysics · 1 questions Circular MotionPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions ElectrostaticsPhysics · 2 questions

Q1.The solubility of AgCN in a buffer solution of pH = 3 is x. The value of x is : [Assume : No cyano complex is formed; Ksp(AgCN) = 2.2 $\times$ 10 $-$ 16 and Ka(HCN) = 6.2 $\times$ 10 $-$ 10]
Chemistry · Ionic Equilibrium · MCQ
Q2.Which one of the following reactions will not form acetaldehyde?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3.The plots of radial distribution functions for various orbitals of hydrogen atom against 'r' are given below : The correct plot for 3s orbital is : Includes diagram
Chemistry · Structure of Atom · MCQ
Q4.Identify A in the given chemical reaction. Includes diagram
Chemistry · Hydrocarbons · MCQ
Q5.Given below are two statements : Statement I : $C e O_{2}$ can be used for oxidation of aldehydes and ketones. Statement II : Aqueous solution of $E u S O_{4}$ is a strong reducing agent. In the light of the above statements, choose the correct…
Chemistry · D and F Block Elements · MCQ
Q6.Compound(s) which will liberate carbon dioxide with sodium bicarbonate solution is/are : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q7.Identify A and B in the chemical reaction. Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q8.Which of the glycosidic linkage between galactose and glucose is present in lactose?
Chemistry · Biomolecules · MCQ
Q9.According to molecular orbital theory, the species among the following that does not exist is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q10.Complete combustion of 1.80 g of an oxygen containing compound ( $C_{x} H_{y} O_{z}$ ) gave 2.64 g of $C O_{2}$ and 1.08 g of $H_{2} O$ . The percentage of oxygen in the organic compound is :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q11.The hybridization and magnetic nature of $[M n (C N)_{6}]^{4 -}$ and $[F e (C N)_{6}]^{3 -}$ , respectively are :
Chemistry · Coordination Compounds · MCQ
Q12.The major product of the following chemical reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q13.In which of the following pairs, the outer most electronic configuration will be the same?
Chemistry · D and F Block Elements · MCQ
Q14.Which of the following reaction/s will not give p-aminoazobenzene? Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q15.Using the provided information in the following paper chromatogram : Fig : Paper chromatography for compounds A and B. the calculated Rf value of A $\times$ 10-1. Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q16.The reaction of cyanamide, $N H_{2} C N$ (s) with oxygen was run in a bomb calorimeter and $Δ$ U was found to be $-$ 742.24 kJ mol $-$ 1. The magnitude of $Δ$ H298 for the reaction $N H_{2} C H_{(S)} + \frac{3}{2} O_{2 (g)} \to N_{2 (g)} + O_{2 (g)} + H_{2} O_{(I)}$ …
Chemistry · Thermodynamics · Numerical
Q17.The ionization enthalpy of $N a^{+}$ formation from $N a$ (g) is 495.8 kJ mol $-$ 1, while the electron gain enthalpy of $B r$ is $-$ 325.0 kJ mol $-$ 1. Given the lattice enthalpy of $N a B r$ is $-$ 728.4 kJ mol $-$ 1. The energy for the…
Chemistry · Thermodynamics · Numerical
Q18.0.4 g mixture of $N a O H$ , $N a_{2} C O_{3}$ and some inert impurities was first titrated with $\frac{N}{10}$ $H C l$ using phenolphthalein as an indicator, 17.5 mL of $H C l$ was required at the end point. After this methyl orange was added and…
Chemistry · Redox Reactions · Numerical
Q19.In basic medium $C r O_{4}^{2 -}$ oxidises $S_{2} O_{3}^{2 -}$ to form $S O_{4}^{2 -}$ and itself changes into $C r (O H)_{4}^{-}$ . The volume of 0.154 M $C r O_{4}^{2 -}$ required to react with 40 mL of 0.25 M $S_{2} O_{3}^{2 -}$ is …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q20.Consider the following chemical reaction. The number of sp2 hybridized carbon atom(s) present in the product is . Includes diagram
Chemistry · Hydrocarbons · Numerical
Q21.1 molal aqueous solution of an electrolyte $A_{2} B_{3}$ is 60% ionised. The boiling point of the solution at 1 atm is K. (Rounded off to the nearest integer) [Given Kb for ( $H_{2} O$ ) = 0.52 K kg mol $-$ 1]
Chemistry · Solutions · Numerical
Q22.Among the following, the number of halide(s) which is/are inert to hydrolysis is . (A) $B F_{3}$ (B) $S i C l_{4}$ (C) $P C l_{5}$ (D) $S F_{6}$
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q23.For the reaction, aA + bB $\to$ cC + dD, the plot of log k vs $\frac{1}{T}$ is given below : The temperature at which the rate constant of the reaction is 10-4 s-1 is K. (Rounded off to the nearest integer)… Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q24.When a missile is fired from a ship, the probability that it is intercepted is $\frac{1}{3}$ and the probability that the missile hits the target, given that it is not intercepted, is $\frac{3}{4}$ . If three missiles are fired…
Mathematics · Probability · MCQ
Q25.The equation of the line through the point (0, 1, 2) and perpendicular to the line $\frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z - 1}{- 2}$ is :
Mathematics · 3D Geometry · MCQ
Q26.The value of $- 1 \int 1 x^{2} e^{[x^{3}]} d x$ , where [ t ] denotes the greatest integer $\leq$ t, is :
Mathematics · Definite Integration · MCQ
Q27.The integer 'k', for which the inequality x2 $-$ 2(3k $-$ 1)x + 8k2 $-$ 7 > 0 is valid for every x in R, is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q28.The total number of positive integral solutions (x, y, z) such that xyz = 24 is :
Mathematics · Permutations and Combinations · MCQ
Q29.If a curve passes through the origin and the slope of the tangent to it at any point (x, y) is $\frac{x ^{2} - 4 x + y + 8}{x - 2}$ , then this curve also passes through the point :
Mathematics · Differential Equations · MCQ
Q30.Let f, g : N $\to$ N such that f(n + 1) = f(n) + f(1) $\forall$ n $\in$ N and g be any arbitrary function. Which of the following statements is NOT true?
Mathematics · Functions · MCQ
Q31.Let the lines (2 $-$ i)z = (2 + i) $\overline{z}$ and (2 $+$ i)z + (i $-$ 2) $\overline{z} -$ 4i = 0, (here i2 = $-$ 1) be normal to a circle C. If the line iz + $\overline{z}$ + 1 + i = 0 is tangent to this circle C, then its radius is :
Mathematics · Complex Numbers · MCQ
Q32. $n \to \infty lim (1 + \frac{1 + \frac{1}{2} + ........ + \frac{1}{n}}{n ^{2}})^{n}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q33.Let $α$ be the angle between the lines whose direction cosines satisfy the equations l + m $-$ n = 0 and l2 + m2 $-$ n2 = 0. Then the value of sin4 $α$ + cos4 $α$ is :
Mathematics · 3D Geometry · MCQ
Q34.The value of the integral $\int \frac{s i n θ . s i n 2 θ ( s i n ^{6} θ + s i n ^{4} θ + s i n ^{2} θ ) 2 s i n ^{4} θ + 3 s i n ^{2} θ + 6}{1 - c o s 2 θ} d θ$ is :
Mathematics · Indefinite Integrals · MCQ
Q35.The coefficients a, b and c of the quadratic equation, ax2 + bx + c = 0 are obtained by throwing a dice three times. The probability that this equation has equal roots is :
Mathematics · Probability · MCQ
Q36.The image of the point (3, 5) in the line x $-$ y + 1 = 0, lies on :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q37.The locus of the point of intersection of the lines $(3) k x + k y - 43 = 0$ and $3 x - y - 4 (3) k = 0$ is a conic, whose eccentricity is .
Mathematics · Hyperbola · Numerical
Q38.The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose the same area A. Then A4 is equal to .
Mathematics · Area Under the Curves · Numerical
Q39.The total number of numbers, lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, if the repetition of digits is not allowed and numbers are divisible by either 3 or 5, is .
Mathematics · Permutations and Combinations · Numerical
Q40.If $A = [0 tan (\frac{θ}{2}) - tan (\frac{θ}{2}) 0]$ and $(I_{2} + A) (I_{2} - A)^{- 1} = [a b - b a]$ …
Mathematics · Matrices and Determinants · Numerical
Q41.Let A1, A2, A3, ....... be squares such that for each n $\geq$ 1, the length of the side of An equals the length of diagonal of An+1. If the length of A1 is 12 cm, then the smallest value of n for which area of An is less than one, is …
Mathematics · Sequences and Series · Numerical
Q42.If the system of equations kx + y + 2z = 1 3x $-$ y $-$ 2z = 2 $-$ 2x $-$ 2y $-$ 4z = 3 has infinitely many solutions, then k is equal to .
Mathematics · Matrices and Determinants · Numerical
Q43.The number of points, at which the function f(x) = | 2x + 1 | $-$ 3| x + 2 | + | x2 + x $-$ 2 |, x $\in$ R is not differentiable, is .
Mathematics · Limits Continuity and Differentiability · Numerical
Q44.Let $a = i + 2 j - k$ , $b = i - j$ and $c = i - j - k$ be three given vectors. If $r$ is a vector…
Mathematics · Vector Algebra · Numerical
Q45.Let f(x) be a polynomial of degree 6 in x, in which the coefficient of x6 is unity and it has extrema at x = $-$ 1 and x = 1. If $x \to 0 lim \frac{f ( x )}{x ^{3}} = 1$ , then $5. f (2)$ is equal to …
Mathematics · Application of Derivatives · Numerical
Q46.A proton, a deuteron and an $α$ particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them is and their speed is , in the ratio.
Physics · Magnetics · MCQ
Q47.A solid sphere of radius R gravitationally attracts a particle placed at 3R from its centre with a force F1. Now a spherical cavity of radius $(\frac{R}{2})$ is made in the sphere (as shown in figure) and the force becomes… Includes diagram
Physics · Gravitation · MCQ
Q48.An $α$ particle and a proton are accelerated from rest by a potential difference of 200V. After this, their de Broglie wavelengths are $λ α$ and $λ$ p respectively. The ratio $\frac{λ _{p}}{λ _{α}}$ …
Physics · Dual Nature of Radiation · MCQ
Q49.The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the figure. Find the value of inductance of the coil and capacity of condenser. Includes diagram
Physics · Alternating Current · MCQ
Q50.Magnetic fields at two points on the axis of a circular coil at a distance of 0.05 m and 0.2 m from the centre are in the ratio 8 : 1. The radius of coil is .
Physics · Magnetics · MCQ
Q51.Match List - I with List - II : Choose the correct answer from the options given below : Includes table
Physics · Units and Measurements · MCQ
Q52.Two satellites A and B of masses 200 kg and 400 kg are revolving round the earth at height of 600 km and 1600 km respectively. If TA and TB are the time periods of A and B respectively then the value of TB $-$ TA : [Given : radius of earth… Includes diagram
Physics · Gravitation · MCQ
Q53.Two coherent light sources having intensity in the ratio 2x produce an interference pattern. The ratio $\frac{I _{m a x} - I _{m i n}}{I _{m a x} + I _{m i n}}$ will be :
Physics · Wave Optics · MCQ
Q54.An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment with velocity v. The velocity with which middle point of the train passes the signal post is :
Physics · Motion in A Straight Line · MCQ
Q55.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : When a rod lying freely is heated, no thermal stress is developed in it. Reason R : On heating, the length of the rod…
Physics · Heat and Thermodynamics · MCQ
Q56.The pitch of the screw gauge is 1 mm and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies 8 divisions below the reference line. When a wire is placed between the…
Physics · Units and Measurements · MCQ
Q57.If the time period of a two meter long simple pendulum is 2s, the acceleration due to gravity at the place where pendulum is executing S.H.M. is :
Physics · Simple Harmonic Motion · MCQ
Q58.A diatomic gas, having $C_{p} = \frac{7}{2} R$ and $C_{v} = \frac{5}{2} R$ , is heated at constant pressure. The ratio dU : dQ : dW :
Physics · Heat and Thermodynamics · MCQ
Q59.A 5V battery is connected across the points X and Y. Assume D1 and D2 to be normal silicon diodes. Find the current supplied by the battery if the +ve terminal of the battery is connected to point X. Includes diagram
Physics · Electronic Devices · MCQ
Q60.A student is performing the experiment of resonance column. The diameter of the column tube is 6 cm. The frequency of the tuning fork is 504 Hz. Speed of the sound at the given temperature is 336 m/s. The zero of the metre scale coincides…
Physics · Waves · MCQ
Q61.In an octagon ABCDEFGH of equal side, what is the sum of $A B + A C + A D + A E + A F + A G + A H$ , if, $A O = 2 i + 3 j - 4 k$ … Includes diagram
Physics · Vector Algebra · MCQ
Q62.The current (i) at time t = 0 and t = $\infty$ respectively for the given circuit is : Includes diagram
Physics · Alternating Current · MCQ
Q63.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : The escape velocities of planet A and B are same. But A and B are of unequal mass. Reason R : The product of their mass…
Physics · Gravitation · MCQ
Q64.A small bob tied at one end of a thin string of length 1 m is describing a vertical circle so that the maximum and minimum tension in the string are in the ratio 5 : 1. The velocity of the bob at the highest position is …
Physics · Circular Motion · Numerical
Q65.A monoatomic gas of mass 4.0 u is kept in an insulated container. Container is moving with velocity 30 m/s. If container is suddenly stopped then change in temperature of the gas (R = gas constant) is $\frac{x}{3 R}$ . Value of x is …
Physics · Heat and Thermodynamics · Numerical
Q66.The same size images are formed by a convex lens when the object is placed at 20 cm or at 10 cm from the lens. The focal length of convex lens is cm.
Physics · Geometrical Optics · Numerical
Q67.A coil of inductance 2 H having negligible resistance is connected to a source of supply whose voltage is given by V = 3t volt. (where t is in second). If the voltage is applied when t = 0, then the energy stored in the coil after 4 s is …
Physics · Electromagnetic Induction · Numerical
Q68.The potential energy (U) of a diatomic molecule is a function dependent on r (interatomic distance) as $U = \frac{α}{r ^{10}} - \frac{β}{r ^{5}} - 3$ where, $α$ and $β$ are positive constants. The equilibrium…
Physics · Work Power and Energy · Numerical
Q69.The electric field in a region is given by $E = (\frac{3}{5} E_{0} i + \frac{4}{5} E_{0} j) \frac{N}{C}$ . The ratio of flux of reported field through the rectangular surface of area 0.2 m2…
Physics · Electrostatics · Numerical
Q70.In a certain thermodynamical process, the pressure of a gas depends on its volume as kV3. The work done when the temperature changes from 100 $^{\circ}$ C to 300 $^{\circ}$ C will be nR, where n denotes number of…
Physics · Heat and Thermodynamics · Numerical
Q71.512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The potential of this drop is V.
Physics · Electrostatics · Numerical
Q72.A transmitting station releases waves of wavelength 960 m. A capacitor of 2.56 $μ$ F is used in the resonant circuit. The self inductance of coil necessary for resonance is $\times$ 10 $-$ 8 H.
Physics · Alternating Current · Numerical