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2021 · 17 Mar · Shift 1

70 questions · JEE Main

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2021 · 17 Mar · Shift 1

2021 · 17 Mar · Shift 1

70 questions · JEE Main

Chemistry22 questions Mathematics20 questions Physics28 questions

Periodic Table and PeriodicityChemistry · 1 questions D and F Block ElementsChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 3 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Ionic EquilibriumChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions BiomoleculesChemistry · 1 questions Structure of AtomChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Practical Organic ChemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Definite IntegrationMathematics · 2 questions Differential EquationsMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions FunctionsMathematics · 1 questions ProbabilityMathematics · 2 questions Binomial TheoremMathematics · 2 questions Matrices and DeterminantsMathematics · 1 questions Sets and RelationsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Complex NumbersMathematics · 1 questions DifferentiationMathematics · 1 questions Work Power and EnergyPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Atoms and NucleiPhysics · 2 questions Rotational MotionPhysics · 4 questions Properties of MatterPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions MagneticsPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Simple Harmonic MotionPhysics · 2 questions Alternating CurrentPhysics · 1 questions Circular MotionPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Current ElectricityPhysics · 2 questions Electronic DevicesPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions GravitationPhysics · 1 questions CapacitorPhysics · 2 questions Laws of MotionPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions

Q1.The absolute value of the electron gain enthalpy of halogens satisfies :
Chemistry · Periodic Table and Periodicity · MCQ
Q2.What is the spin-only magnetic moment value (BM) of a divalent metal ion with atomic number 25, in it's aqueous solution?
Chemistry · D and F Block Elements · MCQ
Q3.Hoffmann bromomide degradation of benzamide gives product A, which upon heating with $C H C l_{3}$ and $N a O H$ gives product B. The structures of A and B are :
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.The above reaction requires which of the following reaction conditions? Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q5.The product ''A'' in the above reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q6.Product ''A'' in the above chemical reaction is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q7.Which of the following compound CANNOT act as a Lewis base?
Chemistry · Ionic Equilibrium · MCQ
Q8.Given below are two statements : Statement I : Potassium permanganate on heating at 573K forms potassium manganate. Statement II : Both potassium permanganate and potassium manganate are tetrahedral and paramagnetic in nature. In the light…
Chemistry · D and F Block Elements · MCQ
Q9.Mesityl oxide is a common name of :
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.Which of the following is an aromatic compound?
Chemistry · Basics of Organic Chemistry · MCQ
Q11.A central atom in a molecule has two lone pairs of electrons and forms three single bonds. The shape of this molecule is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q12.Given below are two statements : Statement I : Retardation factor (Rf) can be measured in meter/centimeter. Statement II : Rf value of a compound remains constant in all solvents. Choose the most appropriate answer from the options given…
Chemistry · Basics of Organic Chemistry · MCQ
Q13.Which of the following is correct structure of tyrosine?
Chemistry · Biomolecules · MCQ
Q14.Which of the following reaction is an example of ammonolysis?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q15.A certain orbital has n = 4 and mL = $-$ 3. The number of radial nodes in this orbital is . (Round off to the Nearest Integer).
Chemistry · Structure of Atom · Numerical
Q16.15 mL of aqueous solution of $F e^{2 +}$ in acidic medium completely reacted with 20 mL of 0.03 M aqueous $C r_{2} O$ $_{7}^{2 -}$ . The molarity of the $F e^{2 +}$ solution is $\times$ 10-2 M. (Round off to the Nearest…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q17.In the above reaction, 3.9 g of benzene on nitration gives 4.92 g of nitrobenzene. The percentage yield of nitrobenzene in the above reaction is %. (Round off to the Nearest Integer). (Given atomic mass : C : 12.0… Includes diagram
Chemistry · Practical Organic Chemistry · Numerical
Q18.For a certain first order reaction 32% of the reactant is left after 570s. The rate constant of this reaction is $\times$ 10 $-$ 3 s $-$ 1. (Round off to the Nearest Integer). [Given : log102 = 0.301, ln10 = 2.303]
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q19.0.01 moles of a weak acid HA (Ka = 2.0 $\times$ 10 $-$ 6) is dissolved in 1.0 L of 0.1 M HCl solution. The degree of dissociation of HA is $\times$ 10 $-$ 5 (Round off to the Nearest Integer). [Neglect volume change…
Chemistry · Chemical Equilibrium · Numerical
Q20.The mole fraction of a solute in a 100 molal aqueous solution is $\times$ 10 $-$ 2. (Round off to the Nearest Integer). [Given : Atomic masses : H : 1.0 u, O : 16.0 u ]
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q21.The standard enthalpies of formation of $A l_{2} O_{3}$ and $C a O$ are $-$ 1675 kJ mol-1 and $-$ 635 kJ mol $-$ 1 respectively. For the reaction 3 $C a O$ + 2 $A l$ $\to$ 3 $C a$ + $A l_{2} O_{3}$ the standard reaction enthalpy $Δ$ rH0 = …
Chemistry · Thermodynamics · Numerical
Q22.The oxygen dissolved in water exerts a partial pressure of 20 kPa in the vapour above water. The molar solubility of oxygen in water is $\times$ 10 $-$ 5 mol dm $-$ 3. (Round off to the Nearest Integer). [Given :…
Chemistry · Solutions · Numerical
Q23.In a triangle PQR, the co-ordinates of the points P and Q are ( $-$ 2, 4) and (4, $-$ 2) respectively. If the equation of the perpendicular bisector of PR is 2x $-$ y + 2 = 0, then the centre of the circumcircle of the $Δ$ PQR is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q24.The value of $x \to 0^{+} lim \frac{c o s ^{- 1} ( x - [ x ] ^{2} ) . s i n ^{- 1} ( x - [ x ] ^{2} )}{x - x ^{3}}$ , where [ x ] denotes the greatest integer $\leq$ x is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q25.Which of the following statements is correct for the function g( $α$ ) for $α \in$ R such that $g (α) = \frac{π}{6} \int \frac{π}{3} \frac{s i n ^{α} x}{c o s ^{α} x + s i n ^{α} x} d x$
Mathematics · Definite Integration · MCQ
Q26.Which of the following is true for y(x) that satisfies the differential equation $\frac{d y}{d x}$ = xy $-$ 1 + x $-$ y; y(0) = 0 :
Mathematics · Differential Equations · MCQ
Q27.The sum of possible values of x for tan $-$ 1(x + 1) + cot $-$ 1 $(\frac{1}{x - 1})$ = tan $-$ 1 $(\frac{8}{31})$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q28.The value of $4 + \frac{1}{5 + \frac{1}{4 + \frac{1}{5 + \frac{1}{4 + ......\infty}}}}$ is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q29.The inverse of $y = 5^{l o g x}$ is :
Mathematics · Functions · MCQ
Q30.Two dies are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of the numbers on the top faces is less than or equal to 8 is :
Mathematics · Probability · MCQ
Q31.If the fourth term in the expansion of $(x + x^{l o g_{2} x})^{7}$ is 4480, then the value of x where x $\in$ N is equal to :
Mathematics · Binomial Theorem · MCQ
Q32.The system of equations kx + y + z = 1, x + ky + z = k and x + y + zk = k2 has no solution if k is equal to :
Mathematics · Matrices and Determinants · MCQ
Q33.In a school, there are three types of games to be played. Some of the students play two types of games, but none play all the three games. Which Venn diagrams can justify the above statement? Includes diagram
Mathematics · Sets and Relations · MCQ
Q34.If cot $-$ 1( $α$ ) = cot $-$ 1 2 + cot $-$ 1 8 + cot $-$ 1 18 + cot $-$ 1 32 + ...... upto 100 terms, then $α$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q35.Team 'A' consists of 7 boys and n girls and Team 'B' has 4 boys and 6 girls. If a total of 52 single matches can be arranged between these two teams when a boy plays against a boy and a girl plays against a girl, then n is equal to :
Mathematics · Permutations and Combinations · MCQ
Q36.The area of the triangle with vertices A(z), B(iz) and C(z + iz) is :
Mathematics · Complex Numbers · MCQ
Q37.If (2021)3762 is divided by 17, then the remainder is .
Mathematics · Binomial Theorem · Numerical
Q38.Let there be three independent events E1, E2 and E3. The probability that only E1 occurs is $α$ , only E2 occurs is $β$ and only E3 occurs is $γ$ . Let 'p' denote the probability of none of events occurs that satisfies the…
Mathematics · Probability · Numerical
Q39.The maximum value of z in the following equation z = 6xy + y2, where 3x + 4y $\leq$ 100 and 4x + 3y $\leq$ 75 for x $\geq$ 0 and y $\geq$ 0 is .
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q40.If [ . ] represents the greatest integer function, then the value of $0 \int \frac{π}{2} [[x^{2}] - cos x] d x$ is .
Mathematics · Definite Integration · Numerical
Q41.If $f (x) = sin (cos^{- 1} (\frac{1 - 2 ^{2 x}}{1 + 2 ^{2 x}}))$ and its first derivative with respect to x is $- \frac{b}{a} lo g_{e} 2$ when x = 1, where a and b are integers, then the minimum…
Mathematics · Differentiation · Numerical
Q42.If the function $f (x) = \frac{c o s ( s i n x ) - c o s x}{x ^{4}}$ is continuous at each point in its domain and $f (0) = \frac{1}{k}$ , then k is .
Mathematics · Limits Continuity and Differentiability · Numerical
Q43.A boy is rolling a 0.5 kg ball on the frictionless floor with the speed of 20 ms-1. The ball gets deflected by an obstacle on the way. After deflection it moves with 5% of its initial kinetic energy. What is the speed of the ball now?
Physics · Work Power and Energy · MCQ
Q44.A polyatomic ideal gas has 24 vibrational modes. What is the value of $γ$ ?
Physics · Heat and Thermodynamics · MCQ
Q45.Two ideal polyatomic gases at temperatures T1 and T2 are mixed so that there is no loss of energy. If F1 and F2, m1 and m2, n1 and n2 be the degrees of freedom, masses, number of molecules of the first and second gas respectively, the…
Physics · Heat and Thermodynamics · MCQ
Q46.If an electron is moving in the nth orbit of the hydrogen atom, then its velocity (vn) for the nth orbit is given as :
Physics · Atoms and Nuclei · MCQ
Q47.Two identical metal wires of thermal conductivities K1 and K2 respectively are connected in series. The effective thermal conductivity of the combination is :
Physics · Heat and Thermodynamics · MCQ
Q48.A triangular plate is shown. A force $F$ = 4 $i -$ 3 $j$ is applied at point P. The torque at point P with respect to point 'O' and 'Q' are : Includes diagram
Physics · Rotational Motion · MCQ
Q49.When two soap bubbles of radii a and b (b > a) coalesce, the radius of curvature of common surface is :
Physics · Properties of Matter · MCQ
Q50.A car accelerates from rest at a constant rate $α$ for some time after which it decelerates at a constant rate $β$ to come to rest. If the total time elapsed is t seconds, the total distance travelled is :
Physics · Motion in A Straight Line · MCQ
Q51.A mass M hangs on a massless rod of length l which rotates at a constant angular frequency. The mass M moves with steady speed in a circular path of constant radius. Assume that the system is in steady circular motion with constant angular… Includes diagram
Physics · Rotational Motion · MCQ
Q52.A solenoid of 1000 turns per metre has a core with relative permeability 500. Insulated windings of the solenoid carry an electric current of 5A. The magnetic flux density produced by the solenoid is : (permeability of free space = 4 $π \times$ …
Physics · Magnetics · MCQ
Q53.The thickness at the centre of a plane convex lens is 3 mm and the diameter is 6 cm. If the speed of light in the material of the lens is 2 $\times$ 108 ms $-$ 1. The focal length of the lens is .
Physics · Geometrical Optics · MCQ
Q54.For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal ?
Physics · Simple Harmonic Motion · MCQ
Q55.An AC current is given by I = I1 sin $ω$ t + I2 cos $ω$ t. A hot wire ammeter will give a reading :
Physics · Alternating Current · MCQ
Q56.A modern grand - prix racing car of mass m is travelling on a flat track in a circular arc of radius R with a speed v. If the coefficient of static friction between the tyres and the track is $μ$ s, then the magnitude of negative lift FL… Includes diagram
Physics · Circular Motion · MCQ
Q57.The vernier scale used for measurement has a positive zero error of 0.2 mm. If while taking a measurement it was noted that '0' on the vernier scale lies between 8.5 cm and 8.6 cm, vernier coincidence is 6, then the correct value of…
Physics · Units and Measurements · MCQ
Q58.A current of 10A exists in a wire of cross-sectional area of 5 mm2 with a drift velocity of 2 $\times$ 10 $-$ 3 ms $-$ 1. The number of free electrons in each cubic meter of the wire is .
Physics · Current Electricity · MCQ
Q59.The output of the given combination gates represents : Includes diagram
Physics · Electronic Devices · MCQ
Q60.Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?
Physics · Atoms and Nuclei · MCQ
Q61.An electron of mass m and a photon have same energy E. The ratio of wavelength of electron to that of photon is : (c being the velocity of light)
Physics · Dual Nature of Radiation · MCQ
Q62.The radius in kilometer to which the present radius of earth (R = 6400 km) to be compressed so that the escape velocity is increased 10 times is .
Physics · Gravitation · Numerical
Q63.The angular speed of truck wheel is increased from 900 rpm to 2460 rpm in 26 seconds. The number of revolutions by the truck engine during this time is . (Assuming the acceleration to be uniform).
Physics · Rotational Motion · Numerical
Q64.A parallel plate capacitor whose capacitance C is 14 pF is charged by a battery to a potential difference V = 12 V between its plates. The charging battery is now disconnected and a porcelin plate with k = 7 is inserted between the plates,…
Physics · Capacitor · Numerical
Q65.The following bodies, (1) a ring (2) a disc (3) a solid cylinder (4) a solid sphere, of same mass 'm' and radius 'R' are allowed to roll down without slipping simultaneously from the top of the inclined plane. The body which will reach… Includes diagram
Physics · Rotational Motion · Numerical
Q66.Four identical rectangular plates with length, l = 2 cm and breadth, b = $\frac{3}{2}$ cm are arranged as shown in figure. The equivalent capacitance between A and C is $\frac{x ε _{0}}{d}$ . The value of x is … Includes diagram
Physics · Capacitor · Numerical
Q67.Consider two identical springs each of spring constant k and negligible mass compared to the mass M as shown. Fig. 1 shows one of them and Fig. 2 shows their series combination. The ratios of time period of oscillation of the two SHM is… Includes diagram
Physics · Simple Harmonic Motion · Numerical
Q68.The equivalent resistance of series combination of two resistors is 's'. When they are connected in parallel, the equivalent resistance is 'p'. If s = np, then the minimum value for n is . (Round off to the…
Physics · Current Electricity · Numerical
Q69.Two blocks (m = 0.5 kg and M = 4.5 kg) are arranged on a horizontal frictionless table as shown in figure. The coefficient of static friction between the two blocks is $\frac{3}{7}$ . Then the maximum horizontal force that can be applied on… Includes diagram
Physics · Laws of Motion · Numerical
Q70.If 2.5 $\times$ 10 $-$ 6 N average force is exerted by a light wave on a non-reflecting surface of 30 cm2 area during 40 minutes of time span, the energy flux of light just before it falls on the surface is …
Physics · Electromagnetic Waves · Numerical