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2019 · 10 Jan · Shift 2

73 questions · JEE Main

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2019 · 10 Jan · Shift 2

2019 · 10 Jan · Shift 2

73 questions · JEE Main

Chemistry22 questions Mathematics24 questions Physics27 questions

Alcohols Phenols and EthersChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions Compounds Containing NitrogenChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions ThermodynamicsChemistry · 2 questions SolutionsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Structure of AtomChemistry · 1 questions BiomoleculesChemistry · 1 questions Redox ReactionsChemistry · 1 questions Definite IntegrationMathematics · 2 questions Differential EquationsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Complex NumbersMathematics · 1 questions Binomial TheoremMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Vector AlgebraMathematics · 1 questions EllipseMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions StatisticsMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Application of DerivativesMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions CircleMathematics · 1 questions ParabolaMathematics · 1 questions FunctionsMathematics · 1 questions Rotational MotionPhysics · 2 questions Current ElectricityPhysics · 3 questions Motion in A Straight LinePhysics · 1 questions ElectrostaticsPhysics · 2 questions Wave OpticsPhysics · 1 questions Electronic DevicesPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions CapacitorPhysics · 1 questions Simple Harmonic MotionPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Work Power and EnergyPhysics · 1 questions MagneticsPhysics · 1 questions Laws of MotionPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions GravitationPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Vector AlgebraPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions

Q1.The major product of the following reaction Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q2.Which is the most suitable reagent for the following transformation ? Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3.The major product obtained in the following reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q4.What will be the major product in the following mononitration reaction ? Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q5.The major product of the following reaction is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q6.For an elementary chemical reaction, the expression for $\frac{d [ A ]}{d t}$ is Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q7.What is the IUPAC name of the following compound ? Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q8.An aromatic compound 'A' having molecular formula $C_{7} H_{6} O_{2}$ on treating with aqueous ammonia and heating forms compound 'B'. The compound 'B' on reaction with molecular bromine and potassium hydroxide provides compound 'C' having…
Chemistry · Compounds Containing Nitrogen · MCQ
Q9.A reaction of cobalt (III) chloride and ethylenediamine in a 1 : 2 mole ratio generates two isomeric products A (violet coloured) and B (green coloured). A can show optical activity, but B is optically inactive. What type of isomers does A…
Chemistry · Coordination Compounds · MCQ
Q10.The pair that contains two P – H bonds in each of the oxoacids is
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q11.In the cell Pt $∣ (s) ∣$ $H_{2}$ (g, 1 bar) $∣ H C l (a q) ∣$ AgCl $∣ (s) ∣$ Ag(s)|Pt(s) the cell potential is 0.92 V when a 10–6 molal $H C l$ solution is used.…
Chemistry · Electrochemistry · MCQ
Q12.5.1 g $N H_{4} S H$ is introduced in 3.0 L evacuated flask at 327ºC. 30% of the solid $N H_{4} S H$ decomposed to $N H_{3}$ and $H_{2} S$ as gases . The Kp of the reaction at 327oC is (R = 0.082 L atm mol–1 K–1, Molar mass of S = 32 g mol–1 molar mass of…
Chemistry · Chemical Equilibrium · MCQ
Q13.The correct match between item 'I' and item 'II' is : Includes table
Chemistry · Practical Organic Chemistry · MCQ
Q14.An ideal gas undergoes isothermal compression from 5m3 to 1 m3 against a constant external pressure of 4 Nm–2. Heat released in this process is used to increase the temperature of 1 mole of Al. If molar heat capacity of Al is 24 J mol–1…
Chemistry · Thermodynamics · MCQ
Q15.Elevation in the boiling point for 1 molar solution of glucose is 2 K. The depression in the freezing point for 2 molal solution of glucose in the same solvent is 2 K. The relation between Kb and Kf is
Chemistry · Solutions · MCQ
Q16.The amount of sugar ( $C_{12} H_{22} O_{11}$ ) required to prepare 2L of its 0.1 M aqueous solution is :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q17.The process with negative entropy change is :
Chemistry · Thermodynamics · MCQ
Q18.The difference in the number of unpaired electrons of a metal ion in its high spin and low-spin octahedral complexes is two. The metal ion is :
Chemistry · Coordination Compounds · MCQ
Q19.The 71st electron of an element X with an atomic number of 71 enters into the orbital :
Chemistry · D and F Block Elements · MCQ
Q20.The ground state energy of hydrogen atom is – 13.6 eV. The energy of second excited state of $H e^{+}$ ion in eV is :
Chemistry · Structure of Atom · MCQ
Q21.Which of the following tests cannot be used for identifying amino acids?
Chemistry · Biomolecules · MCQ
Q22.In the reaction of oxalate with permanganate in acidic medium, the number of electrons involved in producing one molecule of $C O_{2}$ is :
Chemistry · Redox Reactions · MCQ
Q23.If $0 \int x$ f(t) dt = x2 + $x \int 1$ t2f(t) dt then f ' $(\frac{1}{2})$ is -
Mathematics · Definite Integration · MCQ
Q24.Let f be a differentiable function such that f '(x) = 7 - $\frac{3}{4} \frac{f ( x )}{x},$ (x > 0) and f(1) $e$ 4. Then $x \to 0^{'} lim$ xf $(\frac{1}{x})$ :
Mathematics · Differential Equations · MCQ
Q25.Let f : ( $-$ 1, 1) $\to$ R be a function defined by f(x) = max ${- ∣ x ∣, - 1 - x^{2}} .$ If K be the set of all points at which f is not differentiable, then K has exactly -
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.The number of values of $θ \in$ (0, $π$ ) for which the system of linear equations x + 3y + 7z = 0 $-$ x + 4y + 7z = 0 (sin3 $θ$ )x + (cos2 $θ$ )y + 2z = 0. has a non-trival solution, is -
Mathematics · Matrices and Determinants · MCQ
Q27.The curve amongst the family of curves represented by the differential equation, (x2 – y2)dx + 2xy dy = 0 which passes through (1, 1) is :
Mathematics · Differential Equations · MCQ
Q28.Let $z = (\frac{3}{2} + \frac{i}{2})^{5} + (\frac{3}{2} - \frac{i}{2})^{5} .$ If R(z) and 1(z) respectively denote the real and imaginary parts of z, then :
Mathematics · Complex Numbers · MCQ
Q29.The positive value of $λ$ for which the co-efficient of x2 in the expression x2 $(x + \frac{λ}{x ^{2}})^{10}$ is 720, is -
Mathematics · Binomial Theorem · MCQ
Q30.The value of $λ$ such that sum of the squares of the roots of the quadratic equation, x2 + (3 – $λ$ )x + 2 = $λ$ has the least value is -
Mathematics · Quadratic Equation and Inequalities · MCQ
Q31.Let A = $2 b 1 b b^{2} + 1 b 1 b 2$ where b > 0. Then the minimum value of $\frac{d e t ( A )}{b}$ is -
Mathematics · Matrices and Determinants · MCQ
Q32.If $α$ = $(λ - 2) a + b$ and $β = (4 λ - 2) a + 3 b$ be two given vectors $a$ …
Mathematics · Vector Algebra · MCQ
Q33.Let S = ${(x, y) \in R^{2} : \frac{y ^{2}}{1 + r} - \frac{x ^{2}}{1 - r}}; r e \pm 1.$ Then S represents :
Mathematics · Ellipse · MCQ
Q34.The value of $- π /2 \int π /2 \frac{d x}{[ x ] + [ s i n x ] + 4},$ where [t] denotes the greatest integer less than or equal to t, is
Mathematics · Definite Integration · MCQ
Q35.Two vertices of a triangle are (0, 2) and (4, 3). If its orthocenter is at the origin, then its third vertex lies in which quadrant :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q36.Let a1, a2, a3, ..... a10 be in G.P. with ai > 0 for i = 1, 2, ….., 10 and S be the set of pairs (r, k), r, k $\in$ N (the set of natural numbers) for which $lo g_{e} a_{1}^{r} a_{2}^{k} lo g_{e} a_{4}^{r} a_{5}^{k} lo g_{e} a_{7}^{r} a_{8}^{k} lo g_{e} a_{2}^{r} a_{3}^{k} lo g_{e} a_{5}^{r} a_{6}^{k} lo g_{e} a_{8}^{r} a_{9}^{k} lo g_{e} a_{3}^{r} a_{4}^{k} lo g_{e} a_{6}^{r} a_{7}^{k} lo g_{e} a_{9}^{r} a_{10}^{k}$ …
Mathematics · Sequences and Series · MCQ
Q37.If $r = 0 \sum 25 {^{50} C_{r} .^{50 - r} C_{25 - r}} = K (^{50} C_{25}),$ then K is equal to :
Mathematics · Permutations and Combinations · MCQ
Q38.The value of $cos \frac{π}{2 ^{2}} . cos \frac{π}{2 ^{3}} ..... cos \frac{π}{2 ^{10}} . sin \frac{π}{2 ^{10}}$ is -
Mathematics · Trigonometric Ratio and Identites · MCQ
Q39.If mean and standard deviation of 5 observations x1, x2, x3, x4, x5 are 10 and 3, respectively, then the variance of 6 observations x1, x2, ….., x5 and –50 is equal to
Mathematics · Statistics · MCQ
Q40.The value of $cot (n = 1 \sum 19 cot^{- 1} (1 + p = 1 \sum n 2 p))$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q41.Two sides of a parallelogram are along the lines, x + y = 3 & x – y + 3 = 0. If its diagonals intersect at (2, 4), then one of its vertex is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q42.A helicopter is flying along the curve given by y – x3/2 = 7, (x $\geq$ 0). A soldier positioned at the point $(\frac{1}{2}, 7)$ wants to shoot down the helicopter when it is nearest to him. Then this nearest distance is -
Mathematics · Application of Derivatives · MCQ
Q43.If $\int$ x5.e $-$ 4x3 dx = $\frac{1}{48}$ e $-$ 4x3 f(x) + C, where C is a constant of inegration, then f(x) is equal to -
Mathematics · Indefinite Integrals · MCQ
Q44.If the area of an equilateral triangle inscribed in the circle x2 + y2 + 10x + 12y + c = 0 is $273$ sq units then c is equal to :
Mathematics · Circle · MCQ
Q45.The length of the chord of the parabola x2 $=$ 4y having equation x – $2 y + 42 = 0$ is -
Mathematics · Parabola · MCQ
Q46.Let N be the set of natural numbers and two functions f and g be defined as f, g : N $\to$ N such that f(n) = ${\frac{n + 1}{2}; \frac{n}{2}; i f n i s o dd i f n i s e v e n$ …
Mathematics · Functions · MCQ
Q47.Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is : Includes diagram
Physics · Rotational Motion · MCQ
Q48.The actual value of resistance R, shown in the figure is 30 $Ω$ . This is measuered in an experiment as shown using the standard formula R = $\frac{V}{I}$ , where V and I are the readings of the voltmeter and ammeter,… Includes diagram
Physics · Current Electricity · MCQ
Q49.The Wheatstone bridge shown in figure, here, gets balanced when the carbon resistor used as R1 has the colour code (Orange, Red, Brown). The resistors R2 and R4 are 80 $Ω$ and 40 $Ω$ , respectively. Assuming that the colour code… Includes diagram
Physics · Current Electricity · MCQ
Q50.A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s ? Includes diagram
Physics · Motion in A Straight Line · MCQ
Q51.Charges –q and +q located at A and B, respectively, constitude an electric dipole. Distance AB = 2a, O is the mid point of the dipole and OP is perpendicular to AB. A charge Q is placed at P where OP = y and y >> 2a. The charge Q… Includes diagram
Physics · Electrostatics · MCQ
Q52.Consider a Young’s double slit experiment as shown in figure. What should be the slit separation d in terms of wavelength $λ$ such that the first minima occurs directly in front of the slit (S1) ? Includes diagram
Physics · Wave Optics · MCQ
Q53.For the circuit shown below, the current through the Zener diode is - Includes diagram
Physics · Electronic Devices · MCQ
Q54.A rigid massless rod of length 3l has two masses attached at each end as shown in the figure. The rod is pivoted at point P on the horizontal axis (see figure). When released from initial horizontal position, its instantaneous angular… Includes diagram
Physics · Rotational Motion · MCQ
Q55.Half mole of an ideal monoatomic gas is heated at constant pressure of 1 atm from 20oC to 90oC. Work done by gas is close to – (Gas constant R = 8.31 J/mol.K)
Physics · Heat and Thermodynamics · MCQ
Q56.A parallel plate capacitor having capacitance 12 pF is charged by a battery to a potential difference of 10 V between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant 6.5 is slipped between…
Physics · Capacitor · MCQ
Q57.A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean position, the magnitude of its velocity in SI units is equal to that of its acceleration. Then, its periodic time in seconds…
Physics · Simple Harmonic Motion · MCQ
Q58.An unknown metal of mass 192 g heated to a temperature of 100oC was immersed into a brass calorimeter of mass 128 g containing 240 g of water at a temperature of 8.4oC. Calculate the specific heat of the unknown metal if water temperature…
Physics · Heat and Thermodynamics · MCQ
Q59.The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to that of cornea (7.8 mm). This surface separateds two media of refractive indices 1 and 1.34. Calculate the distance from the…
Physics · Geometrical Optics · MCQ
Q60.A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond with still water. If pressed downward slightly and released, it starts performing simple harmonic motion at angular frequency $ω$ …
Physics · Simple Harmonic Motion · MCQ
Q61.A particle which is experiencing a force, given by $F = 3 i - 12 j,$ undergoes a displacement of $d = 4 i$ particle had a kinetic energy of 3 J at the beginning of the…
Physics · Work Power and Energy · MCQ
Q62.A hoop and a solid cylinder of same mass and radius are made of a permanent magnetic material with their magnetic moment parallel to their respective axes. But the magnetic moment of hoop is twice of solid cylinder. They are placed in a…
Physics · Magnetics · MCQ
Q63.Two forces P and Q, of magnitude 2F and 3F, respectively, are at an angle $θ$ with each other. If the force Q is doubled, then their resultant also gets doubled. Then, the angle $θ$ is -
Physics · Laws of Motion · MCQ
Q64.Two kg of a monoatomic gas is at a pressure of 4 $\times$ 104 N/m2. The density of the gas is 8 kg/m3. What is the order of energy of the gas due to its thermal motion ?
Physics · Heat and Thermodynamics · MCQ
Q65.The electric field of a plane polarized electromagnetic wave in free space at time t = 0 is given by an expression $E (x, y) = 10 j cos [(6 x + 8 z)] .$ The magnetic field $B$ …
Physics · Electromagnetic Waves · MCQ
Q66.Two stars of masses 3 $\times$ 1031 kg each, and at distance 2 $\times$ 1011 m rotate in a plane about their common centre of mass O. A meteorite passes through O moving perpendicular to the star’s rotation plane. In order to escape from…
Physics · Gravitation · MCQ
Q67.A current of 2 mA was passed through an unknown resistor which dissipated a power of 4.4 W. Dissipated power when an ideal power supply of 11 V is connected across it is -
Physics · Current Electricity · MCQ
Q68.The self induced emf of a coil is 25 volts. When the current in it is changed at uniform rate from 10 A to 25 A in 1s, the change in the energy of the inductance is -
Physics · Electromagnetic Induction · MCQ
Q69.The diameter and height of a cylinder are measured by a meter scale to be 12.6 $\pm$ 0.1 cm and 34.2 $\pm$ 0.1 cm, respectively. What will be the value of its volume in appropriate significant figures ?
Physics · Units and Measurements · MCQ
Q70.Two vectors $A$ and $B$ have equal magnitudes. The magnitude of $(A + B)$ is 'n' times the magnitude of $(A - B)$ …
Physics · Vector Algebra · MCQ
Q71.Four equal point charges Q each are placed in the xy plane at (0, 2), (4, 2), (4, –2) and (0, –2). The work required to put a fifth charge Q at the origin of the coordinate system will be -
Physics · Electrostatics · MCQ
Q72.Consider the nuclear fission Ne20 $\to$ 2He4 + C12 Given that the binding energy/ nucleon of Ne20, He4 and C12 are, respectively, 8.03 MeV, 7.07 MeV and 7.86 MeV, identify the correct statement -
Physics · Atoms and Nuclei · MCQ
Q73.A metal plate of area 1 $\times$ 10–4 m2 is illuminated by a radiation of intensity 16 mW/m2. The work function of the metal is 5 eV. The energy of the incident photons is 10 eV and only 10% of it produces photo electrons. The number of…
Physics · Dual Nature of Radiation · MCQ