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2025 · 8 Apr · Shift 2

75 questions · JEE Main

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2025 · 8 Apr · Shift 2

2025 · 8 Apr · Shift 2

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

Periodic Table and PeriodicityChemistry · 2 questions Coordination CompoundsChemistry · 3 questions Basics of Organic ChemistryChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Structure of AtomChemistry · 2 questions SolutionsChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 3 questions Some Basic Concepts of ChemistryChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Salt AnalysisChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions 3D GeometryMathematics · 2 questions Differential EquationsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions EllipseMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Complex NumbersMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Definite IntegrationMathematics · 2 questions Sets and RelationsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions ProbabilityMathematics · 1 questions Vector AlgebraMathematics · 1 questions Application of DerivativesMathematics · 1 questions Binomial TheoremMathematics · 2 questions Area Under the CurvesMathematics · 1 questions ParabolaMathematics · 1 questions FunctionsMathematics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Geometrical OpticsPhysics · 2 questions Units and MeasurementsPhysics · 1 questions Atoms and NucleiPhysics · 1 questions MagneticsPhysics · 1 questions Electronic DevicesPhysics · 1 questions WavesPhysics · 2 questions Properties of MatterPhysics · 3 questions Rotational MotionPhysics · 2 questions ElectrostaticsPhysics · 4 questions Motion in A PlanePhysics · 1 questions Laws of MotionPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Wave OpticsPhysics · 1 questions CapacitorPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions

Q1.The atomic number of the element from the following with lowest 1st ionisation enthalpy is :
Chemistry · Periodic Table and Periodicity · MCQ
Q2.Match the LIST-I with LIST-II Choose the correct answer from the options given below: Includes table
Chemistry · Coordination Compounds · MCQ
Q3.Match the LIST-I with LIST-II Choose the correct answer from the options given below: Includes table
Chemistry · Basics of Organic Chemistry · MCQ
Q4.In a first order decomposition reaction, the time taken for the decomposition of reactant to one fourth and one eighth of its initial concentration are $t_{1}$ and $t_{2}$ (s), respectively. The ratio $t_{1} / t_{2}$ will be:
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q5.Correct statements for an element with atomic number 9 are: A. There can be 5 electrons for which $m_{s} = + \frac{1}{2}$ and 4 electrons for which $m_{s} = - \frac{1}{2}$ . B. There is only one electron in $p_{z}$ orbital. C. The last electron…
Chemistry · Structure of Atom · MCQ
Q6. $HA (a q) ⇌ H^{+} (a q) + A^{-} (a q)$ The freezing point depression of a 0.1 m aqueous solution of a monobasic weak acid $H A$ is 0.20 °C. The dissociation constant for the acid is Given:…
Chemistry · Solutions · MCQ
Q7.What is the correct IUPAC name of the compound? Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q8.'P' is Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q9.On combustion 0.210 g of an organic compound containing C, H and O gave 0.127 g $H_{2} O$ and 0.307 g $C O_{2}$ . The percentages of hydrogen and oxygen in the given organic compound respectively are:
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q10.The number of species from the following that are involved in sp3d2 hybridization is : $[C o (N H_{3})_{6}]^{3 +}$ , $S F_{6}$ , $[C r F_{6}]^{3 -}$ , $[C o F_{6}]^{3 -}$ , $[M n (C N)_{6}]^{3 -}$ , and $[M n C l_{6}]^{3 -}$
Chemistry · Coordination Compounds · MCQ
Q11.Which of the following binary mixture does not show the behaviour of minimum boiling azeotropes?
Chemistry · Solutions · MCQ
Q12.Given below are two statements: Statement I: $H_{2} S e$ is more acidic than $H_{2} T e$ Statement II: $H_{2} S e$ has higher bond enthalpy for dissociation than $H_{2} T e$ In the light of the above statements, choose the correct answer from the options…
Chemistry · Periodic Table and Periodicity · MCQ
Q13. $A (i) NaH (i) H_{3} O^{+} B (i) EOH (ii) H_{2} SO_{4}, Δ C$ ' A ' shows positive…
Chemistry · Compounds Containing Nitrogen · MCQ
Q14.The correct decreasing order of spin only magnetic moment values (BM) of $C u^{+}$ , $C u^{2 +}$ , $C r^{2 +}$ and $C r^{3 +}$ ions is :
Chemistry · D and F Block Elements · MCQ
Q15.Given below are two statements: Statement I: A homoleptic octahedral complex, formed using monodentate ligands, will not show stereoisomerism. Statement II: cis- and trans- platin are heteroleptic complexes of Pd. In the light of the above…
Chemistry · Coordination Compounds · MCQ
Q16.When undergoes intramolecular aldol condensation, the major product formed is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q17.Choose the correct set of reagents for the following conversion. Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q18.Which one of the following reactions will not lead to the desired ether formation in major proportion? (iso- $Bu \Rightarrow$ isobutyl, sec $- Bu \Rightarrow$ sec-butyl, $nPr \Rightarrow n$ -propyl, $^{t} Bu \Rightarrow tert-butyl, Et \Rightarrow ethyl)$ …
Chemistry · Haloalkanes and Haloarenes · MCQ
Q19.Match the LIST-I with LIST-II Choose the correct answer from the options given below: Includes table
Chemistry · Salt Analysis · MCQ
Q20.Choose the correct option for structures of $A$ and $B$ , respectively Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q21.Consider the following half cell reaction $Cr_{2} O_{7}^{2 -} (aq) + 6 e^{-} + 14 H^{+} (aq) \to 2 Cr^{3 +} (aq) + 7 H_{2} O (ℓ)$ The reaction was conducted with…
Chemistry · Electrochemistry · Numerical
Q22.The energy of an electron in the first Bohr orbit of the H-atom is -13.6 eV. The magnitude of energy value of an electron in the first excited state of $B e^{3 +}$ is eV (nearest integer value).
Chemistry · Structure of Atom · Numerical
Q23.The equilibrium constant for decomposition of $H_{2} O(g) H_{2} O(g) ⇌ H_{2} (g) + \frac{1}{2} O_{2} (g) (Δ G^{\circ} = 92.34 kJ mol^{- 1})$ is $8.0 \times 1 0^{- 3}$ …
Chemistry · Chemical Equilibrium · Numerical
Q24.20 mL of sodium iodide solution gave 4.74 g silver iodide when treated with excess of silver nitrate solution. The molarity of the sodium iodide solution is M. (Nearest Integer value) (Given : Na = 23, I = 127,…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q25.Resonance in $X_{2} Y$ can be represented as The enthalpy of formation of $X_{2} Y (X = X (g) + \frac{1}{2} Y = Y (g) \to X_{2} Y (g))$ is 80 kJ mol $^{- 1}$ . The magnitude of resonance energy of $X_{2} Y$ is __ kJ… Includes diagram
Chemistry · Thermodynamics · Numerical
Q26.Let the values of $λ$ for which the shortest distance between the lines $\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4}$ and $\frac{x - λ}{3} = \frac{y - 4}{4} = \frac{z - 5}{5}$ is $\frac{1}{6}$ be $λ_{1}$ and $λ_{2}$ .…
Mathematics · 3D Geometry · MCQ
Q27.Let $f (x) = x - 1$ and $g (x) = e^{x}$ for $x \in R$ . If $\frac{d y}{d x} = (e^{- 2 x} g (f (f (x))) - \frac{y}{x})$ , $y (0) = 0$ , then $y (1)$ is
Mathematics · Differential Equations · MCQ
Q28.If $\frac{1}{1 ^{4}} + \frac{1}{2 ^{4}} + \frac{1}{3 ^{4}} + \dots \infty = \frac{π ^{4}}{90}$ , $\frac{1}{1 ^{4}} + \frac{1}{3 ^{4}} + \frac{1}{5 ^{4}} + \dots \infty = α$ , $\frac{1}{2 ^{4}} + \frac{1}{4 ^{4}} + \frac{1}{6 ^{4}} + \dots \infty = β$ , then $\frac{α}{β}$ …
Mathematics · Sequences and Series · MCQ
Q29.Let a be the length of a side of a square OABC with O being the origin. Its side OA makes an acute angle $α$ with the positive x-axis and the equations of its diagonals are $(3 + 1) x + (3 - 1) y = 0$ and $(3 - 1) x - (3 + 1) y + 83 = 0$ …
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q30.A line passing through the point P( $a$ , 0) makes an acute angle $α$ with the positive x-axis. Let this line be rotated about the point P through an angle $\frac{α}{2}$ in the clockwise direction. If in the new position, the slope…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q31.Let α be a solution of $x^{2} + x + 1 = 0$ , and for some a and b in $R, [4 a b] 1 - 1 - 2 16 - 1 - 14 132 - 8 = [000]$ …
Mathematics · Matrices and Determinants · MCQ
Q32.Let the ellipse $3 x^{2} + p y^{2} = 4$ pass through the centre $C$ of the circle $x^{2} + y^{2} - 2 x - 4 y - 11 = 0$ of radius $r$ . Let $f_{1}, f_{2}$ be the focal distances of the point $C$ on the ellipse. Then $6 f_{1} f_{2} - r$ is equal to
Mathematics · Ellipse · MCQ
Q33.The sum of the squares of the roots of $∣ x - 2 ∣^{2} + ∣ x - 2∣ - 2 = 0$ and the squares of the roots of $x^{2} - 2∣ x - 3∣ - 5 = 0$ , is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q34.The value of $cot^{- 1} (\frac{1 + t a n ^{2} ( 2 ) - 1}{t a n ( 2 )}) - cot^{- 1} (\frac{1 + t a n ^{2} ( \frac{1}{2} ) + 1}{t a n ( \frac{1}{2} )})$ is equal to
Mathematics · Inverse Trigonometric Functions · MCQ
Q35.Let $A = {θ \in [0, 2 π] : 1 + 10 Re (\frac{2 c o s θ + i s i n θ}{c o s θ - 3 i s i n θ}) = 0}$ . Then $θ \in A \sum θ^{2}$ is equal to
Mathematics · Complex Numbers · MCQ
Q36.Given below are two statements: Statement I: $x \to 0 lim (\frac{t a n ^{- 1} x + l o g _{e} \frac{1 + x}{1 - x} - 2 x}{x ^{5}}) = \frac{2}{5}$ Statement II: $x \to 1 lim (x^{\frac{2}{1 - x}}) = \frac{1}{e ^{2}}$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q37.The integral $- 1 \int \frac{3}{2} (∣ π^{2} x sin (π x)) d x$ is equal to:
Mathematics · Definite Integration · MCQ
Q38.Let $A = 246 2 + p 6 + 2 p 12 + 3 p 2 + p + q 8 + 3 p + 2 q 20 + 6 p + 3 q$ . If $det (adj (adj (3 A))) = 2^{m} \cdot 3^{n}$ , $m, n \in N$ , then $m + n$ is equal to
Mathematics · Matrices and Determinants · MCQ
Q39.Let A = {0, 1, 2, 3, 4, 5}. Let R be a relation on A defined by (x, y) ∈ R if and only if max{x, y} ∈ {3, 4}. Then among the statements (S1): The number of elements in R is 18, and (S2): The relation R is symmetric but neither reflexive…
Mathematics · Sets and Relations · MCQ
Q40.Let f(x) be a positive function and $I_{1} = - \frac{1}{2} \int 1 2 x f (2 x (1 - 2 x)) d x$ and $I_{2} = - 1 \int 2 f (x (1 - x)) d x$ . Then the value of $\frac{I _{2}}{I _{1}}$ is equal to
Mathematics · Definite Integration · MCQ
Q41.There are 12 points in a plane, no three of which are in the same straight line, except 5 points which are collinear. Then the total number of triangles that can be formed with the vertices at any three of these 12 points is
Mathematics · Permutations and Combinations · MCQ
Q42.If A and B are two events such that $P (A) = 0.7$ , $P (B) = 0.4$ and $P (A \cap \overline{B}) = 0.5$ , where $\overline{B}$ denotes the complement of B, then $P (B ∣ (A \cup \overline{B}))$ is equal to
Mathematics · Probability · MCQ
Q43.Let $a = \hat{i} + 2 \hat{j} + \hat{k}$ and $b = 2 \hat{i} + \hat{j} - \hat{k}$ . Let $\overset{c}{^}$ be a unit vector in the plane of the vectors $a$ and $b$ and be perpendicular to $a$ . Then such a vector $\overset{c}{^}$ …
Mathematics · Vector Algebra · MCQ
Q44.Let the function $f (x) = \frac{x}{3} + \frac{3}{x} + 3, x e q 0$ be strictly increasing in $(- \infty, α_{1}) \cup (α_{2}, \infty)$ and strictly decreasing in $(α_{3}, α_{4}) \cup (α_{4}, α_{5})$ . Then $i = 1 \sum 5 α_{i}^{2}$ …
Mathematics · Application of Derivatives · MCQ
Q45.The number of integral terms in the expansion of $(5^{\frac{1}{2}} + 7^{\frac{1}{8}})^{1016}$ is:
Mathematics · Binomial Theorem · MCQ
Q46.The product of the last two digits of $(1919)^{1919}$ is
Mathematics · Binomial Theorem · Numerical
Q47.Let the area of the bounded region ${(x, y) : 0 \leq 9 x \leq y^{2}, y \geq 3 x - 6}$ be $A$ . Then $6 A$ is equal to .
Mathematics · Area Under the Curves · Numerical
Q48.Let $r$ be the radius of the circle, which touches $x$ - axis at point $(a, 0), a < 0$ and the parabola $y^{2} = 9 x$ at the point $(4, 6)$ . Then $r$ is equal to .
Mathematics · Parabola · Numerical
Q49.Let the area of the triangle formed by the lines $x + 2 = y - 1 = z, \frac{x - 3}{5} = \frac{y}{- 1} = \frac{z - 1}{1}$ and $\frac{x}{- 3} = \frac{y - 3}{3} = \frac{z - 2}{1}$ be $A$ . Then $A^{2}$ is equal to .
Mathematics · 3D Geometry · Numerical
Q50.Let the domain of the function $f (x) = cos^{- 1} (\frac{4 x + 5}{3 x - 7})$ be $[α, β]$ and the domain of $g (x) = lo g_{2} (2 - 6 lo g_{27} (2 x + 5))$ be $(γ, δ)$ . Then $∣7 (α + β) + 4 (γ + δ) ∣$ is…
Mathematics · Functions · Numerical
Q51.A monoatomic gas having $γ = \frac{5}{3}$ is stored in a thermally insulated container and the gas is suddenly compressed to $(\frac{1}{8})^{th}$ of its initial volume. The ratio of final pressure and initial…
Physics · Heat and Thermodynamics · MCQ
Q52.A convex lens of focal length 30 cm is placed in contact with a concave lens of focal length 20 cm. An object is placed at 20 cm to the left of this lens system. The distance of the image from the lens in cm is .
Physics · Geometrical Optics · MCQ
Q53.A concave-convex lens of refractive index 1.5 and the radii of curvature of its surfaces are 30 cm and 20 cm, respectively. The concave surface is upwards and is filled with a liquid of refractive index 1.3. The focal length of the…
Physics · Geometrical Optics · MCQ
Q54.A quantity Q is formulated as $X^{- 2} Y^{+ \frac{3}{2}} Z^{- \frac{2}{5}}$ . X, Y, and Z are independent parameters which have fractional errors of 0.1, 0.2, and 0.5, respectively in measurement. The maximum fractional error of Q is
Physics · Units and Measurements · MCQ
Q55.For a nucleus of mass number A and radius R, the mass density of nucleus can be represented as
Physics · Atoms and Nuclei · MCQ
Q56.Figure shows a current carrying square loop ABCD of edge length is ‘a’ lying in a plane. If the resistance of the ABC part is r and that of ADC part is 2r, then the magnitude of the resultant magnetic field at centre of the square loop is Includes diagram
Physics · Magnetics · MCQ
Q57.The output voltage in the following circuit is (Consider ideal diode case) Includes diagram
Physics · Electronic Devices · MCQ
Q58.The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, $y_{1} (x, t) = 4 sin (k x - ω t)$ and $y_{2} (x, t) = 2 sin (k x - ω t + \frac{2 π}{3})$ , are: (Take the angular frequency of…
Physics · Waves · MCQ
Q59.A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's modulus. The value of Young's modulus of the wire as per this experiment is $P \times 1 0^{11} Nm^{- 2}$ …
Physics · Properties of Matter · MCQ
Q60.Water falls from a height of 200 m into a pool. Calculate the rise in temperature of the water assuming no heat dissipation from the water in the pool. (Take g = 10 m/s2, specific heat of water = 4200 J/(kg K))
Physics · Heat and Thermodynamics · MCQ
Q61.A rod of linear mass density 'λ' and length 'L' is bent to form a ring of radius 'R'. Moment of inertia of ring about any of its diameter is.
Physics · Rotational Motion · MCQ
Q62.Two strings with circular cross section and made of same material, are stretched to have same amount of tension. A transverse wave is then made to pass through both the strings. The velocity of the wave in the first string having the…
Physics · Waves · MCQ
Q63.Two metal spheres of radius R and 3R have same surface charge density σ. If they are brought in contact and then separated, the surface charge density on smaller and bigger sphere becomes σ1 and σ2, respectively. The ratio $\frac{σ _{1}}{σ _{2}}$ …
Physics · Electrostatics · MCQ
Q64.Two balls with same mass and initial velocity, are projected at different angles in such a way that maximum height reached by first ball is 8 times higher than that of the second ball. $T_{1}$ and $T_{2}$ are the total flying times of first…
Physics · Motion in A Plane · MCQ
Q65.Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A : Work done in moving a test charge between two points inside a uniformly charged spherical shell is…
Physics · Electrostatics · MCQ
Q66.Electric charge is transferred to an irregular metallic disk as shown in the figure. If $σ_{1}$ , $σ_{2}$ , $σ_{3}$ and $σ_{4}$ are charge densities at given points then, choose the correct answer from the options given below: A.… Includes diagram
Physics · Electrostatics · MCQ
Q67.An infinitely long wire has uniform linear charge density $λ = 2 nC/m$ . The net flux through a Gaussian cube of side length $3$ cm, if the wire passes through any two corners of the cube, that are maximally displaced…
Physics · Electrostatics · MCQ
Q68.A body of mass 2 kg moving with velocity of $v_{in} = 3 \hat{i} + 4 \hat{j} ms^{- 1}$ enters into a constant force field of 6N directed along positive z-axis. If the body remains in the field for a period of $\frac{5}{3}$ …
Physics · Laws of Motion · MCQ
Q69.A block of mass 2 kg is attached to one end of a massless spring whose other end is fixed at a wall. The spring-mass system moves on a frictionless horizontal table. The spring's natural length is 2 m and spring constant is 200 N/m. The…
Physics · Simple Harmonic Motion · MCQ
Q70.In a Young's double slit experiment, the source is white light. One of the slits is covered by red filter and another by a green filter. In this case:
Physics · Wave Optics · MCQ
Q71.A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to a change of volume of 0.8 cm3. If the bulk modulus of the liquid is 2 GPa, the initial volume of the liquid was litre. (Take 1 atm =…
Physics · Properties of Matter · Numerical
Q72.A thin solid disk of 1 kg is rotating along its diameter axis at the speed of 1800 rpm . By applying an external torque of $25 π Nm$ for 40 s , the speed increases to 2100 rpm . The diameter of the disk is …
Physics · Rotational Motion · Numerical
Q73.Space between the plates of a parallel plate capacitor of plate area 4 cm2 and separation of 1.77 mm, is filled with uniform dielectric materials with dielectric constants (3 and 5) as shown in figure. Another capacitor of capacitance 7.5… Includes diagram
Physics · Capacitor · Numerical
Q74.An electron is released from rest near an infinite non-conducting sheet of uniform charge density ' $- σ$ '. The rate of change of de-Broglie wave length associated with the electron varies inversely as nth power of time. The numerical…
Physics · Dual Nature of Radiation · Numerical
Q75.A cube having a side of 10 cm with unknown mass and 200 gm mass were hung at two ends of a uniform rigid rod of 27 cm long. The rod along with masses was placed on a wedge keeping the distance between wedge point and 200 gm weight as 25…
Physics · Properties of Matter · Numerical