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2022 · 26 Jun · Shift 1

68 questions · JEE Main

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2022 · 26 Jun · Shift 1

2022 · 26 Jun · Shift 1

68 questions · JEE Main

Chemistry20 questions Mathematics21 questions Physics27 questions

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

Q1.A commercially sold conc. HCl is 35% HCl by mass. If the density of this commercial acid is 1.46 g/mL, the molarity of this solution is: (Atomic mass : Cl = 35.5 amu, H = 1 amu)
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q2.If the radius of the 3rd Bohr's orbit of hydrogen atom is r3 and the radius of 4th Bohr's orbit is r4. Then :
Chemistry · Structure of Atom · MCQ
Q3.Consider the ions/molecule O $_{2}^{+}$ , $O_{2}$ , O $_{2}^{-}$ , O $_{2}^{2 -}$ For increasing bond order the correct option is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q4.The $(\frac{\partial E}{\partial T})_{P}$ of different types of half cells are as follows: (Where E is the electromotive force) Which of the above half cells would be preferred to be used as reference electrode? Includes table
Chemistry · Electrochemistry · MCQ
Q5.Choose the correct stability order of group 13 elements in their + 1 oxidation state :
Chemistry · P Block Elements · MCQ
Q6.Given below are two statements : Statement I : In 'Lassaigne's Test', when both nitrogen and sulphur are present in an organic compound, sodium thiocyanate is formed. Statement II : If both nitrogen and sulphur are present in an organic…
Chemistry · Practical Organic Chemistry · MCQ
Q7.( $C_{7} H_{5} O_{2}$ ) $_{2}$ $h v$ [X] $\to$ 2 $C_{6} H_{5}$ + 2 $C O_{2}$ Consider the above reaction and identify the intermediate 'X'
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q8.Consider the above reaction sequence and identify the product B. Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q9.Which will have the highest enol content?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.Among the following structures, which will show the most stable enamine formation? (Where Me is $-$ $C H_{3}$ )
Chemistry · Compounds Containing Nitrogen · MCQ
Q11.Which statement is not true with respect to nitrate ion test?
Chemistry · Coordination Compounds · MCQ
Q12.For complete combustion of methanol $C H_{3} O H$ (I) + $\frac{3}{2}$ $O_{2}$ (g) $\to$ $C O_{2}$ (g) + 2 $H_{2} O$ (I) the amount of heat produced as measured by bomb calorimeter is 726 kJ mol $-$ 1 at 27 $^{\circ}$ C. The enthalpy of combustion for the…
Chemistry · Thermodynamics · Numerical
Q13.A 0.5 percent solution of potassium chloride was found to freeze at $-$ 0.24 $^{\circ}$ C. The percentage dissociation of potassium chloride is . (Nearest integer) (Molal depression constant for water is 1.80 K kg…
Chemistry · Solutions · Numerical
Q14.50 mL of 0.1 M $C H_{3} C O O H$ is being titrated against 0.1 M $N a O H$ . When 25 mL of $N a O H$ has been added, the pH of the solution will be $\times$ 10 $-$ 2. (Nearest integer) (Given : pKa ( $C H_{3} C O O H$ ) = 4.76) log 2 =…
Chemistry · Ionic Equilibrium · Numerical
Q15.A flask is filled with equal moles of A and B. The half lives of A and B are 100 s and 50 s respectively and are independent of the initial concentration. The time required for the concentration of A to be four times that of B is …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q16.The spin-only magnetic moment value of the most basic oxide of vanadium among $V_{2} O_{3}$ , $V_{2} O_{4}$ and $V_{2} O_{5}$ is B.M. (Nearest integer)
Chemistry · D and F Block Elements · Numerical
Q17.The spin-only magnetic moment value of an octahedral complex among $C o C l_{3} .4 N H_{3}$ , $N i C l_{2} .6 H_{2} O$ and $P tC l_{4} .2 H C l$ , which upon reaction with excess of $A g N O_{3}$ gives 2 moles of $A g C l$ is B.M. (Nearest integer)
Chemistry · Coordination Compounds · Numerical
Q18.On complete combustion 0.30 g of an organic compound gave 0.20 g of carbon dioxide and 0.10 g of water. The percentage of carbon in the given organic compound is . (Nearest integer)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q19.Compound 'P' on nitration with dil. $H N O_{3}$ yields two isomers (A) and (B). These isomers can be separated by steam distillation. Isomers (A) and (B) show the intramolecular and intermolecular hydrogen bonding respectively. Compound (P) on…
Chemistry · Alcohols Phenols and Ethers · Numerical
Q20.The number of oxygens present in a nucleotide formed from a base, that is present only in RNA is .
Chemistry · Biomolecules · Numerical
Q21.Let $f (x) = \frac{x - 1}{x + 1}, x \in R - {0, - 1, 1}$ . If $f^{n + 1} (x) = f (f^{n} (x))$ for all n $\in$ N, then $f^{6} (6) + f^{7} (7)$ is equal to :
Mathematics · Functions · MCQ
Q22.Let $A = {z \in C : \frac{z + 1}{z - 1} < 1}$ and $B = {z \in C : ar g (\frac{z - 1}{z + 1}) = \frac{2 π}{3}}$ . Then A $\cap$ B is :
Mathematics · Complex Numbers · MCQ
Q23.The ordered pair (a, b), for which the system of linear equations 3x $-$ 2y + z = b 5x $-$ 8y + 9z = 3 2x + y + az = $-$ 1 has no solution, is :
Mathematics · Matrices and Determinants · MCQ
Q24.The remainder when (2021)2023 is divided by 7 is :
Mathematics · Binomial Theorem · MCQ
Q25. $x \to \frac{1}{2} lim \frac{s i n ( c o s ^{- 1} x ) - x}{1 - t a n ( c o s ^{- 1} x )}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.Let f, g : R $\to$ R be two real valued functions defined as $f (x) = {- ∣ x + 3∣ e^{x},, x < 0 x \geq 0$ and $g (x) = {x^{2} + k_{1} x 4 x + k_{2},, x < 0 x \geq 0$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.The sum of the absolute minimum and the absolute maximum values of the function f(x) = |3x $-$ x2 + 2| $-$ x in the interval [ $-$ 1, 2] is :
Mathematics · Application of Derivatives · MCQ
Q28.The area bounded by the curve y = |x2 $-$ 9| and the line y = 3 is :
Mathematics · Area Under the Curves · MCQ
Q29.Let R be the point (3, 7) and let P and Q be two points on the line x + y = 5 such that PQR is an equilateral triangle. Then the area of $Δ$ PQR is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q30.If the two lines $l_{1} : \frac{x - 2}{3} = \frac{y + 1}{- 2}, z = 2$ and $l_{2} : \frac{x - 1}{1} = \frac{2 y + 3}{α} = \frac{z + 5}{2}$ are perpendicular, then an angle between the lines l2 and $l_{3} : \frac{1 - x}{3} = \frac{2 y - 1}{- 4} = \frac{z}{4}$ …
Mathematics · 3D Geometry · MCQ
Q31.The mean of the numbers a, b, 8, 5, 10 is 6 and their variance is 6.8. If M is the mean deviation of the numbers about the mean, then 25 M is equal to :
Mathematics · Statistics · MCQ
Q32.Let $f (x) = 2 cos^{- 1} x + 4 cot^{- 1} x - 3 x^{2} - 2 x + 10$ , $x \in [- 1, 1]$ . If [a, b] is the range of the function f, then 4a $-$ b is equal to :
Mathematics · Application of Derivatives · MCQ
Q33.The sum of the cubes of all the roots of the equation $x^{4} - 3 x^{3} - 2 x^{2} + 3 x + 1 = 0$ is .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q34.There are ten boys B1, B2, ......., B10 and five girls G1, G2, ........, G5 in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both B1 and B2 together should not be the members of a group,…
Mathematics · Permutations and Combinations · Numerical
Q35.Let f(x) = max {|x + 1|, |x + 2|, ....., |x + 5|}. Then $- 6 \int 0 f (x) d x$ is equal to .
Mathematics · Definite Integration · Numerical
Q36.Let the solution curve y = y(x) of the differential equation $(4 + x^{2}) d y - 2 x (x^{2} + 3 y + 4) d x = 0$ pass through the origin. Then y(2) is equal to .
Mathematics · Differential Equations · Numerical
Q37.If $sin^{2} (1 0^{\circ}) sin (2 0^{\circ}) sin (4 0^{\circ}) sin (5 0^{\circ}) sin (7 0^{\circ}) = α - \frac{1}{16} sin (1 0^{\circ})$ , then $16 + α^{- 1}$ is equal to .
Mathematics · Trigonometric Ratio and Identites · Numerical
Q38.Let A = {n $\in$ N : H.C.F. (n, 45) = 1} and Let B = {2k : k $\in$ {1, 2, ......., 100}}. Then the sum of all the elements of A $\cap$ B is .
Mathematics · Sets and Relations · Numerical
Q39.The value of the integral $\frac{48}{π ^{4}} 0 \int π (\frac{3 π x ^{2}}{2} - x^{3}) \frac{s i n x}{1 + c o s ^{2} x} d x$ is equal to .
Mathematics · Definite Integration · Numerical
Q40.Let $A = i = 1 \sum 10 j = 1 \sum 10 min {i, j}$ and $B = i = 1 \sum 10 j = 1 \sum 10 max {i, j}$ . Then A + B is equal to .
Mathematics · Sets and Relations · Numerical
Q41.Let $S = (0, 2 π) - {\frac{π}{2}, \frac{3 π}{4}, \frac{3 π}{2}, \frac{7 π}{4}}$ . Let $y = y (x)$ , x $\in$ S, be the solution curve of the differential equation $\frac{d y}{d x} = \frac{1}{1 + s i n 2 x}, y (\frac{π}{4}) = \frac{1}{2}$ …
Mathematics · Differential Equations · Numerical
Q42.An expression for a dimensionless quantity P is given by $P = \frac{α}{β} lo g_{e} (\frac{k t}{β x})$ ; where $α$ and $β$ are constants, x is distance; k is Boltzmann constant and t is the…
Physics · Units and Measurements · MCQ
Q43.A person is standing in an elevator. In which situation, he experiences weight loss?
Physics · Laws of Motion · MCQ
Q44.An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero?
Physics · Center of Mass · MCQ
Q45.A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is $α$ with respect… Includes diagram
Physics · Circular Motion · MCQ
Q46.A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rads $-$ 1 in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two objects each of mass m be…
Physics · Rotational Motion · MCQ
Q47.The variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctly represented by : (Given R = radius of earth)
Physics · Gravitation · MCQ
Q48.Time period of a simple pendulum in a stationary lift is 'T'. If the lift accelerates with $\frac{g}{6}$ vertically upwards then the time period will be : (Where g = acceleration due to gravity)
Physics · Simple Harmonic Motion · MCQ
Q49.A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats 1.4. Vessel is moving with speed v and is suddenly brought to rest. Assuming no heat is lost to the surrounding and vessel temperature of…
Physics · Heat and Thermodynamics · MCQ
Q50.Two capacitors having capacitance C1 and C2 respectively are connected as shown in figure. Initially, capacitor C1 is charged to a potential difference V volt by a battery. The battery is then removed and the charged capacitor C1 is now… Includes diagram
Physics · Capacitor · MCQ
Q51.Given below two statements : One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Non-polar materials do not have any permanent dipole moment. Reason (R) : When a non-polar material is placed in an electric…
Physics · Electrostatics · MCQ
Q52.The magnetic flux through a coil perpendicular to its plane is varying according to the relation $ϕ = (5 t^{3} + 4 t^{2} + 2 t - 5)$ Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t = 2 s will…
Physics · Electromagnetic Induction · MCQ
Q53.An aluminium wire is stretched to make its length, 0.4% larger. The percentage change in resistance is :
Physics · Current Electricity · MCQ
Q54.A proton and an alpha particle of the same velocity enter in a uniform magnetic field which is acting perpendicular to their direction of motion. The ratio of the radii of the circular paths described by the alpha particle and proton is :
Physics · Magnetics · MCQ
Q55.If Electric field intensity of a uniform plane electromagnetic wave is given as $E = - 301.6 sin (k z - ω t) a_{x} + 452.4 sin (k z - ω t) a_{y} \frac{V}{m}$ . Then magnetic intensity 'H' of this wave in Am $-$ 1…
Physics · Electromagnetic Waves · MCQ
Q56.In free space, an electromagnetic wave of 3 GHz frequency strikes over the edge of an object of size $\frac{λ}{100}$ , where $λ$ is the wavelength of the wave in free space. The phenomenon, which happens there will be :
Physics · Electromagnetic Waves · MCQ
Q57.An electron with speed v and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are Ee and pe and that of photon are Eph and pph respectively. Which of the following is correct?
Physics · Dual Nature of Radiation · MCQ
Q58.The I-V characteristics of a p-n junction diode in forward bias is shown in the figure. The ratio of dynamic resistance, corresponding to forward bias voltage of 2 V and 4 V respectively, is : Includes diagram
Physics · Electronic Devices · MCQ
Q59.A fighter jet is flying horizontally at a certain altitude with a speed of 200 ms $-$ 1. When it passes directly overhead an anti-aircraft gun, a bullet is fired from the gun, at an angle $θ$ with the horizontal, to hit the jet. If…
Physics · Motion in A Plane · Numerical
Q60.A ball of mass 0.5 kg is dropped from the height of 10 m. The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is m. [Use g = 10 m/s2]
Physics · Motion in A Straight Line · Numerical
Q61.The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5 $\times$ 10 $-$ 4 is kJ/m3. Assume that material is elastic upto the… Includes diagram
Physics · Properties of Matter · Numerical
Q62.The elongation of a wire on the surface of the earth is 10 $-$ 4 m. The same wire of same dimensions is elongated by 6 $\times$ 10 $-$ 5 m on another planet. The acceleration due to gravity on the planet will be …
Physics · Properties of Matter · Numerical
Q63.A 10 $Ω$ , 20 mH coil carrying constant current is connected to a battery of 20 V through a switch. Now after switch is opened current becomes zero in 100 $μ$ s. The average e.m.f. induced in the coil is V.
Physics · Electromagnetic Induction · Numerical
Q64.A light ray is incident, at an incident angle $θ$ 1, on the system of tow plane mirrors M1 and M2 having an inclination angle 75 $^{\circ}$ between them (as shown in figure). After reflecting from mirror M1 it gets reflected back by the… Includes diagram
Physics · Geometrical Optics · Numerical
Q65.In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If tenth vernier scale division coincides with nineth main scale division. Then the value of vernier constant will be $\times$ 10 $-$ …
Physics · Units and Measurements · Numerical
Q66.As per the given circuit, the value of current through the battery will be A. Includes diagram
Physics · Electronic Devices · Numerical
Q67.A 110 V, 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the resistance 55 $Ω$ , at resonance in the circuit, will be A. Includes diagram
Physics · Alternating Current · Numerical
Q68.An ideal fluid of density 800 kgm $-$ 3, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to $\frac{a}{2}$ . The pressure difference between the wide and narrow sections of pipe is 4100 Pa.… Includes diagram
Physics · Properties of Matter · Numerical