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2025 · 22 Jan · Shift 1

74 questions · JEE Main

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2025 · 22 Jan · Shift 1

2025 · 22 Jan · Shift 1

74 questions · JEE Main

Chemistry24 questions Mathematics25 questions Physics25 questions

ElectrochemistryChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Coordination CompoundsChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 2 questions Chemical EquilibriumChemistry · 1 questions Basics of Organic ChemistryChemistry · 4 questions ThermodynamicsChemistry · 1 questions D and F Block ElementsChemistry · 1 questions HydrocarbonsChemistry · 1 questions SolutionsChemistry · 1 questions BiomoleculesChemistry · 1 questions Structure of AtomChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Redox ReactionsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Area Under the CurvesMathematics · 1 questions HyperbolaMathematics · 1 questions Complex NumbersMathematics · 1 questions 3D GeometryMathematics · 2 questions Sets and RelationsMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions LogarithmMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions CircleMathematics · 1 questions Differential EquationsMathematics · 3 questions ProbabilityMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Definite IntegrationMathematics · 1 questions ParabolaMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Vector AlgebraMathematics · 1 questions Binomial TheoremMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions GravitationPhysics · 1 questions Units and MeasurementsPhysics · 2 questions Rotational MotionPhysics · 2 questions Heat and ThermodynamicsPhysics · 3 questions Geometrical OpticsPhysics · 3 questions ElectrostaticsPhysics · 1 questions Circular MotionPhysics · 1 questions Dual Nature of RadiationPhysics · 2 questions Electronic DevicesPhysics · 1 questions WavesPhysics · 1 questions Current ElectricityPhysics · 3 questions CapacitorPhysics · 2 questions Wave OpticsPhysics · 1 questions Properties of MatterPhysics · 1 questions Motion in A PlanePhysics · 1 questions

Q1.Which of the following electrolyte can be used to obtain $H_{2} S_{2} O_{8}$ by the process of electrolysis ?
Chemistry · Electrochemistry · MCQ
Q2.Given below are two statements : Statement I : $CH_{3} - O - CH_{2} - Cl$ will undergo $S_{N} 1$ reaction though it is a primary halide. Statement II : will not undergo $S_{N} 2$ … Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q3.The products formed in the following reaction sequence are : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.From the magnetic behaviour of $[NiCl_{4}]^{2 -}$ (paramagnetic) and $[Ni (CO)_{4}]$ (diamagnetic), choose the correct geometry and oxidation state.
Chemistry · Coordination Compounds · MCQ
Q5.The compounds which give positive Fehling's test are : Choose the correct answer from the options given below : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q6.Match List-I with List-II. Choose the correct answer from the options given below : Includes table
Chemistry · Periodic Table and Periodicity · MCQ
Q7.A vessel at 1000 K contains $CO_{2}$ with a pressure of 0.5 atm . Some of $CO_{2}$ is converted into CO on addition of graphite. If total pressure at equilibrium is 0.8 atm , then Kp is :
Chemistry · Chemical Equilibrium · MCQ
Q8.A solution of aluminium chloride is electrolysed for 30 minutes using a current of 2 A . The amount of the aluminium deposited at the cathode is . [Given : molar mass of aluminium and chlorine are $27 g mol^{- 1}$ …
Chemistry · Electrochemistry · MCQ
Q9.How many different stereoisomers are possible for the given molecule? Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q10.A liquid when kept inside a thermally insulated closed vessel at $2 5^{\circ} C$ was mechanically stirred from outside. What will be the correct option for the following thermodynamic parameters ?
Chemistry · Thermodynamics · MCQ
Q11.Lanthanoid ions with $4 f^{7}$ configuration are : (A) $Eu^{2 +}$ (B) $Gd^{3 +}$ (C) $Eu^{3 +}$ (D) $Tb^{3 +}$ (E) $Sm^{2 +}$ Choose the correct answer from the options given below :
Chemistry · D and F Block Elements · MCQ
Q12.The incorrect statements regarding geometrical isomerism are : (A) Propene shows geometrical isomerism. (B) Trans isomer has identical atoms/groups on the opposite sides of the double bond. (C) Cis-but-2-ene has higher dipole moment than…
Chemistry · Basics of Organic Chemistry · MCQ
Q13.Given below are two statements : Statement I : One mole of propyne reacts with excess of sodium to liberate half a mole of $H_{2}$ gas. Statement II : Four g of propyne reacts with $NaNH_{2}$ to liberate $NH_{3}$ gas…
Chemistry · Hydrocarbons · MCQ
Q14.Which of the following electronegativity order is incorrect?
Chemistry · Periodic Table and Periodicity · MCQ
Q15.Arrange the following solutions in order of their increasing boiling points. (i) $1 0^{- 4} M NaCl$ (ii) $1 0^{- 4} M$ Urea (iii) $1 0^{- 3} M NaCl$ (iv) $1 0^{- 2} M NaCl$
Chemistry · Solutions · MCQ
Q16.In which of the following complexes the CFSE, $Δ_{o}$ will be equal to zero?
Chemistry · Coordination Compounds · MCQ
Q17.Which of the following acids is a vitamin ?
Chemistry · Biomolecules · MCQ
Q18.Radius of the first excited state of Helium ion is given as : $a_{0} \to$ radius of first stationary state of hydrogen atom.
Chemistry · Structure of Atom · MCQ
Q19.The IUPAC name of the following compound is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q20.Consider the following sequence of reactions : Molar mass of the product formed $(A)$ is $g mol^{- 1}$ . Includes diagram
Chemistry · Compounds Containing Nitrogen · Numerical
Q21.The number of molecules/ions that show linear geometry among the following is . $SO_{2}, BeCl_{2}, CO_{2}, N_{3}^{-}, NO_{2}, F_{2} O, XeF_{2}, NO_{2}^{+}, I_{3}^{-}, O_{3}$ …
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q22.Some $CO_{2}$ gas was kept in a sealed container at a pressure of 1 atm and at 273 K . This entire amount of $CO_{2}$ gas was later passed through an aqueous solution of $Ca (OH)_{2}$ . The excess unreacted $Ca (OH)_{2}$ …
Chemistry · Redox Reactions · Numerical
Q23.In Carius method for estimation of halogens, 180 mg of an organic compound produced 143.5 mg of AgCl . The percentage composition of chlorine in the compound is %. (Given : molar mass in $g mol^{- 1}$ …
Chemistry · Basics of Organic Chemistry · Numerical
Q24. $A \to B$ The molecule A changes into its isomeric form B by following a first order kinetics at a temperature of 1000 K . If the energy barrier with respect to reactant energy for such isomeric transformation is $191.48 kJ mol^{- 1}$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q25.The area of the region, inside the circle $(x - 23)^{2} + y^{2} = 12$ and outside the parabola $y^{2} = 23 x$ is :
Mathematics · Area Under the Curves · MCQ
Q26.Let the foci of a hyperbola be $(1, 14)$ and $(1, - 12)$ . If it passes through the point $(1, 6)$ , then the length of its latus-rectum is :
Mathematics · Hyperbola · MCQ
Q27.Let $z_{1}, z_{2}$ and $z_{3}$ be three complex numbers on the circle $∣ z ∣ = 1$ with $ar g (z_{1}) = \frac{- π}{4}, ar g (z_{2}) = 0$ and $ar g (z_{3}) = \frac{π}{4}$ . If $∣ z_{1} \overset{z}{ˉ}_{2} + z_{2} \overset{z}{ˉ}_{3} + z_{3} \overset{z}{ˉ}_{1} ∣^{2} = α + β 2, α, β \in Z$ …
Mathematics · Complex Numbers · MCQ
Q28.Let $L_{1} : \frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4}$ and $L_{2} : \frac{x - 2}{3} = \frac{y - 4}{4} = \frac{z - 5}{5}$ be two lines. Then which of the following points lies on the line of the shortest distance between $L_{1}$ …
Mathematics · 3D Geometry · MCQ
Q29.Let $A = {1, 2, 3, \dots, 10}$ and $B = {\frac{m}{n} : m, n \in A, m < n$ and $gcd (m, n) = 1}$ . Then $n (B)$ is equal to :
Mathematics · Sets and Relations · MCQ
Q30.Let the triangle PQR be the image of the triangle with vertices $(1, 3), (3, 1)$ and $(2, 4)$ in the line $x + 2 y = 2$ . If the centroid of $△ PQR$ is the point $(α, β)$ , then $15 (α - β)$ is equal to :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q31.The product of all solutions of the equation $e^{5 (l o g_{e} x)^{2} + 3} = x^{8}, x > 0$ , is :
Mathematics · Logarithm · MCQ
Q32.From all the English alphabets, five letters are chosen and are arranged in alphabetical order. The total number of ways, in which the middle letter is ' M ', is :
Mathematics · Permutations and Combinations · MCQ
Q33.A circle C of radius 2 lies in the second quadrant and touches both the coordinate axes. Let r be the radius of a circle that has centre at the point $(2, 5)$ and intersects the circle $C$ at exactly two points. If the set of all possible…
Mathematics · Circle · MCQ
Q34.Let $x = x (y)$ be the solution of the differential equation $y^{2} d x + (x - \frac{1}{y}) d y = 0$ . If $x (1) = 1$ , then $x (\frac{1}{2})$ is :
Mathematics · Differential Equations · MCQ
Q35.A coin is tossed three times. Let $X$ denote the number of times a tail follows a head. If $μ$ and $σ^{2}$ denote the mean and variance of $X$ , then the value of $64 (μ + σ^{2})$ is:
Mathematics · Probability · MCQ
Q36.Let $f (x)$ be a real differentiable function such that $f (0) = 1$ and $f (x + y) = f (x) f^{'} (y) + f^{'} (x) f (y)$ for all $x, y \in R$ . Then $\sum_{n = 1}^{100} lo g_{e} f (n)$ is equal to :
Mathematics · Differential Equations · MCQ
Q37.Two balls are selected at random one by one without replacement from a bag containing 4 white and 6 black balls. If the probability that the first selected ball is black, given that the second selected ball is also black, is $\frac{m}{n}$ ,…
Mathematics · Probability · MCQ
Q38.Let $a_{1}, a_{2}, a_{3}, \dots$ be a G.P. of increasing positive terms. If $a_{1} a_{5} = 28$ and $a_{2} + a_{4} = 29$ , then $a_{6}$ is equal to:
Mathematics · Sequences and Series · MCQ
Q39.Let for $f (x) = 7 tan^{8} x + 7 tan^{6} x - 3 tan^{4} x - 3 tan^{2} x, I_{1} = \int_{0}^{π /4} f (x) d x$ and $I_{2} = \int_{0}^{π /4} x f (x) d x$ . Then $7 I_{1} + 12 I_{2}$ is equal to :
Mathematics · Definite Integration · MCQ
Q40.The number of non-empty equivalence relations on the set ${1, 2, 3}$ is :
Mathematics · Sets and Relations · MCQ
Q41.Let the parabola $y = x^{2} + p x - 3$ , meet the coordinate axes at the points $(- 1, - 1)$ and R . If the circle C with centre at $(- 1, - 1)$ passes through the points $R$ and $R$ , then the area of $△ P QR$ is :
Mathematics · Parabola · MCQ
Q42.Using the principal values of the inverse trigonometric functions, the sum of the maximum and the minimum values of $16 ((sec^{- 1} x)^{2} + (cosec^{- 1} x)^{2})$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q43.Let $f : R \to R$ be a twice differentiable function such that $f (x + y) = f (x) f (y)$ for all $x, y \in R$ . If $f^{'} (0) = 4 a$ and $f$ satisfies $f^{''} (x) - 3 a f^{'} (x) - f (x) = 0, a > 0$ …
Mathematics · Differential Equations · MCQ
Q44.If $\sum_{r = 1}^{n} T_{r} = \frac{( 2 n - 1 ) ( 2 n + 1 ) ( 2 n + 3 ) ( 2 n + 5 )}{64}$ , then $lim_{n \to \infty} \sum_{r = 1}^{n} (\frac{1}{T _{r}})$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q45.Let the function, $f (x) = {- 3 ax^{2} - 2, a^{2} + b x, x < 1 x ⩾ 1$ be differentiable for all $x \in R$ , where $a > 1, b \in R$ . If…
Mathematics · Limits Continuity and Differentiability · Numerical
Q46.Let $c$ be the projection vector of $b = λ \hat{i} + 4 \hat{k}, λ > 0$ , on the vector $a = \hat{i} + 2 \hat{j} + 2 \hat{k}$ . If $∣ a + c ∣ = 7$ , then the area of the parallelogram formed by the vectors $b$ …
Mathematics · Vector Algebra · Numerical
Q47.If $\sum_{r = 0}^{5} \frac{^{11} C _{2 r + 1}}{2 r + 2} = \frac{m}{n}, gcd (m, n) = 1$ , then $m - n$ is equal to .
Mathematics · Binomial Theorem · Numerical
Q48.Let $L_{1} : \frac{x - 1}{3} = \frac{y - 1}{- 1} = \frac{z + 1}{0}$ and $L_{2} : \frac{x - 2}{2} = \frac{y}{0} = \frac{z + 4}{α}, α \in R$ , be two lines, which intersect at the point $B$ . If $P$ is the foot of perpendicular…
Mathematics · 3D Geometry · Numerical
Q49.Let $A$ be a square matrix of order 3 such that $det (A) = - 2$ and $det (3 adj (- 6 adj (3 A))) = 2^{m + n} \cdot 3^{mn}, m > n$ . Then $4 m + 2 n$ is equal to .
Mathematics · Matrices and Determinants · Numerical
Q50.A small point of mass $m$ is placed at a distance $2 R$ from the centre ' $O$ ' of a big uniform solid sphere of mass M and radius R . The gravitational force on ' m ' due to M is $F_{1}$ . A spherical part of radius $R /3$ … Includes diagram
Physics · Gravitation · MCQ
Q51.If $B$ is magnetic field and $μ_{0}$ is permeability of free space, then the dimensions of $(B / μ_{0})$ is
Physics · Units and Measurements · MCQ
Q52.A uniform circular disc of radius ' $R^{'}$ and mass ' $M^{'}$ is rotating about an axis perpendicular to its plane and passing through its centre. A small circular part of radius $R /2$ is removed from the… Includes diagram
Physics · Rotational Motion · MCQ
Q53.Two spherical bodies of same materials having radii 0.2 m and 0.8 m are placed in same atmosphere. The temperature of the smaller body is 800 K and temperature of the bigger body is 400 K . If the energy radiated from the smaller body is…
Physics · Heat and Thermodynamics · MCQ
Q54.In the diagram given below, there are three lenses formed. Considering negligible thickness of each of them as compared to $∣ R_{1} ∣$ and $∣ R_{2} ∣$ , i.e., the radii of curvature for upper and lower surfaces of the glass… Includes diagram
Physics · Geometrical Optics · MCQ
Q55.A line charge of length $\frac{a}{2}$ is kept at the center of an edge $B C$ of a cube ABCDEFGH having edge length ' $a$ ' as shown in the figure. If the density of line charge is $λ C$ per unit length, then the total… Includes diagram
Physics · Electrostatics · MCQ
Q56.A bob of mass $m$ is suspended at a point $O$ by a light string of length $l$ and left to perform vertical motion (circular) as shown in figure. Initially, by applying horizontal velocity $v_{0}$ at the point ' A ', the string becomes slack… Includes diagram
Physics · Circular Motion · MCQ
Q57.The work functions of cesium (Cs) and lithium (Li) metals are 1.9 eV and 2.5 eV , respectively. If we incident a light of wavelength 550 nm on these two metal surfaces, then photo-electric effect is possible for the case of
Physics · Dual Nature of Radiation · MCQ
Q58.An amount of ice of mass $1 0^{- 3} kg$ and temperature $- 1 0^{\circ} C$ is transformed to vapour of temperature $11 0^{\circ} C$ by applying heat. The total amount of work required for this conversion is, (Take,…
Physics · Heat and Thermodynamics · MCQ
Q59.Which of the following circuits represents a forward biased diode? Choose the correct answer from the options given below: Includes diagram
Physics · Electronic Devices · MCQ
Q60.A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities $ρ_{1}$ and $ρ_{2}$ , respectively. The frequency of $9^{th}$ harmonic of closed tube is identical with $4^{th}$ …
Physics · Waves · MCQ
Q61.Given below are two statements : Statement-I : The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs. Statement-II : The equivalent internal resistance of two nonideal batteries connected…
Physics · Current Electricity · MCQ
Q62.An electron in the ground state of the hydrogen atom has the orbital radius of $5.3 \times 1 0^{- 11} m$ while that for the electron in third excited state is $8.48 \times 1 0^{- 10} m$ . The ratio of the de Broglie…
Physics · Dual Nature of Radiation · MCQ
Q63.Given below are two statements : Statement I: In a vernier callipers, one vernier scale division is always smaller than one main scale division. Statement II : The vernier constant is given by one main scale division multiplied by the…
Physics · Units and Measurements · MCQ
Q64.An electron is made to enter symmetrically between two parallel and equally but oppositely charged metal plates, each of 10 cm length. The electron emerges out of the electric field region with a horizontal component of velocity $1 0^{6} m / s$ …
Physics · Capacitor · MCQ
Q65.Which of the following resistivity ( $ρ$ ) $v / s$ temperature ( T ) curves is most suitable to be used in wire bound standard resistors?
Physics · Current Electricity · MCQ
Q66.Given is a thin convex lens of glass (refractive index $μ$ ) and each side having radius of curvature $R$ . One side is polished for complete reflection. At what distance from the lens, an object be placed on the optic axis so that the…
Physics · Geometrical Optics · MCQ
Q67.A parallel-plate capacitor of capacitance $40 μ F$ is connected to a 100 V power supply. Now the intermediate space between the plates is filled with a dielectric material of dielectric constant $K = 2$ . Due to the…
Physics · Capacitor · MCQ
Q68.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion-(A) : If Young's double slit experiment is performed in an optically denser medium than air, then the consecutive fringes…
Physics · Wave Optics · MCQ
Q69.Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance $R_{p} = 1Ω$ as shown in the figure. An external resistance of $R_{e} = 2Ω$ is connected via the sliding contact. The electric current in… Includes diagram
Physics · Current Electricity · MCQ
Q70.The driver sitting inside a parked car is watching vehicles approaching from behind with the help of his side view mirror, which is a convex mirror with radius of curvature $R = 2 m$ . Another car approaches him from behind…
Physics · Geometrical Optics · Numerical
Q71.Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other. The radius of curvature of the common surface, in cm , is .
Physics · Properties of Matter · Numerical
Q72.Three conductors of same length having thermal conductivity $k_{1}, k_{2}$ and $k_{3}$ are connected as shown in figure. Area of cross sections of $1^{st}$ and $2^{nd}$ conductor are same and for $3^{rd}$ conductor it… Includes diagram
Physics · Heat and Thermodynamics · Numerical
Q73.The position vectors of two 1 kg particles, (A) and (B), are given by $r_{A} = (α_{1} t^{2} \hat{i} + α_{2} t \hat{j} + α_{3} t \hat{k}) m and r_{B} = (β_{1} \hat{t} \hat{i} + β_{2} t^{2} \hat{j} + β_{3} t \hat{k}) m, respectively;$ …
Physics · Rotational Motion · Numerical
Q74.A particle is projected at an angle of $3 0^{\circ}$ from horizontal at a speed of $60 m / s$ . The height traversed by the particle in the first second is $h_{0}$ and height traversed in the last second, before it…
Physics · Motion in A Plane · Numerical