JEE Main 2025 (Online) 24th January Morning Shift — Question Paper

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Physics

• A particle is executing simple harmonic motion with time period 2 s and amplitude 1 cm…
• A current of 5 A exists in a square loop of side 1/√2 m. Then the magnitude of the…
• An ideal gas goes from an initial state to final state. During the process, the pressure…
• The Young's double slit interference experiment is performed using light consisting of…
• A satellite is launched into a circular orbit of radius ' R ' around the earth. A second…
• An electron of mass ' m ' with an initial velocity v⃗=v₀ î(v₀>0) enters an electric…
• A car of mass ' m ' moves on a banked road having radius ' r ' and banking angle θ. To…
• For an experimental expression y=(32.3× 1125)/27.4, where all the digits are…
• The temperature of 1 mole of an ideal monoatomic gas is increased by 50° C at constant…
• A square loop of sides a=1 m is held normally in front of a point charge q=1 C at a…
• During the transition of electron from state A to state C of a Bohr atom, the wavelength…
• The least count of a screw guage is 0.01 mm . If the pitch is increased by 75% and…
• What is the relative decrease in focal length of a lens for an increase in optical power…
• Consider a parallel plate capacitor of area A (of each plate) and separation ' d '…
• An alternating current is given by I=I_A sin ω t+I_B cos ω t. The r.m.s current will be
• Consider the following statements : A. The junction area of solar cell is made very…
• A thin plano convex lens made of glass of refractive index 1.5 is immersed in a liquid…
• A parallel plate capacitor was made with two rectangular plates, each with a length of…
• A uniform solid cylinder of mass ' m ' and radius ' r ' rolls along an inclined rough…
• An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a…
• A plano-convex lens having radius of curvature of first surface 2 cm exhibits focal…
• A wire of resistance 9 Ω is bent to form an equilateral triangle. Then the equivalent…
• The amount of work done to break a big water drop of radius ' R ' into 27 small drops of…
• An object of mass ' m ' is projected from origin in a vertical xy plane at an angle 45°…
• A force F=α+β x² acts on an object in the x -direction. The work done by the force is 5…

Chemistry

• For a reaction, N₂ O_(5( g)) → 2 NO_(2( g))+1/2 O_(2( g)) in a constant volume…
• Given below are two statements I and II. Statement I : Dumas method is used for…
• Among the following cations, the number of cations which will give characteristic…
• Xg of benzoic acid on reaction with aq NaHCO₃ released CO₂ that occupied 11.2 L volume…
• One mole of the octahedral complex compound Co(NH₃)₅ Cl₃ gives 3 moles of ions on…
• 37.8 g N₂O₅ was taken in a 1 L reaction vessel and allowed to undergo the following…
• Which of the following statement is true with respect to H₂ O, NH₃ and CH₄ ? A. The…
• Which of the following statements are NOT true about the periodic table? A. The…
• Preparation of potassium permanganate from MnO₂ involves two step process in which the…
• Given below are two statements: Statement I: The conversion proceeds well in the less…
• Which of the following arrangements with respect to their reactivity in nucleophilic…
• Kₛₚ for Cr(OH)₃ is 1.6 × 10⁻³⁰. What is the molar solubility of this salt in water?
• Which one of the carbocations from the following is most stable?
• The large difference between the melting and boiling points of oxygen and sulphur may be…
• Standard entropies of X₂, Y₂ and XY₅ are 70, 50 and 110 J K⁻¹ mol⁻¹ respectively. The…
• Aman has been asked to synthesise the molecule He thought of preparing the molecule…
• The carbohydrate "Ribose" present in DNA, is A. A pentose sugar B. present in pyranose…
• For the given cell Fe²⁺(aq)+Ag_((aq))⁺ → Fe³⁺(aq)+Ag₍ₛ₎ The standard cell potential of…
• Consider the given plots of vapour pressure (VP) vs temperature(T/K). Which amongst the…
• Which of the following linear combination of atomic orbitals will lead to formation of…
• Consider the following reaction occurring in the blast furnace: Fe₃ O₄₍ₛ₎+4 CO_((g)) → 3…
• Let us consider an endothermic reaction which is non-spontaneous at the freezing point…
• Which of the following ions is the strongest oxidizing agent? (Atomic Number of Ce=58…

Mathematics

• Let f be a differentiable function such that 2(x+2)² f(x)-3(x+2)²=10 ∫₀ˣ(t+2) f(t) d t…
• If for some α, β ; α ≤ β, α+β=8 and sec ²(tan ⁻¹ α)+cosec²(cot ⁻¹ β)=36, then α²+β is…
• Let the lines 3x-4y-α=0,8x-11y-33=0, and 2x-3y+λ=0 be concurrent. If the image of the…
• If the system of equations 2 x-y+z=4 ; 5 x+λ y+3 z=12 ; 100 x-47 y+μ z=212 has…
• Let A be a 3 × 3 matrix such that Xᵀ AX=O for all nonzero 3 × 1 matrices X=[x; y; z]. If…
• The number of 3 -digit numbers, that are divisible by 2 and 3 , but not divisible by 4…
• Let S={p₁, p₂ …, p₁₀} be the set of first ten prime numbers. Let A=S ∪ P, where P is the…
• Let f: ℝ-{0} → ℝ be a function such that f(x)-6 f(1/x)=35/(3 x)-5/2. If the lim _(x →…
• Let the product of the focal distances of the point (√3, 1/2) on the ellipse…
• The area of the region {(x,y):x²+4x+2≤ y≤ |x+2|} is equal to
• Let the line passing through the points (-1,2,1) and parallel to the line…
• For a statistical data x₁, x₂, …, x₁₀ of 10 values, a student obtained the mean as 5.5…
• Let y=y(x) be the solution of the differential equation (x y-5 x² √(1+x²)) d x+(1+x²) d…
• Let a⃗=î+2 ĵ+3 k̂, b⃗=3 î+ĵ-k̂ and c⃗ be three vectors such that c⃗ is coplanar with a⃗…
• Let circle C be the image of x²+y²-2 x+4 y-4=0 in the line 2 x-3 y+5=0 and A be the…
• If α and β are the roots of the equation 2 z²-3 z-2 i=0, where i=√-1, then 16 ·…
• The product of all the rational roots of the equation (x²-9 x+11)²-(x-4)(x-5)=3, is…
• Consider the region R={(x, y): x ≤ y ≤ 9-11/3 x², x ≥ 0}. The area, of the largest…
• Let Sₙ=1/2+1/6+1/12+1/20+… upto n terms. If the sum of the first six terms of an A.P…
• For some n ≠ 10, let the coefficients of the 5 th, 6 th and 7 th terms in the binomial…
• Let in a △ A B C, the length of the side A C be 6 , the vertex B be (1,2,3) and the…
• lim x → 0 cosec x(√(2 cos ² x+3 cos x)-√(cos ² x+sin x+4)) is:
• Let f(x)=(2ˣ⁺²+16)/(2²ˣ⁺¹+2ˣ⁺⁴+32). Then the value of 8(f(1/15)+f(2/15)+…+f(59/15)) is…
• If I(m, n)=∫₀¹ xᵐ⁻¹(1-x)ⁿ⁻¹ d x, m, n>0, then I(9,14)+I(10,13) is
• A and B alternately throw a pair of dice. A wins if he throws a sum of 5 before B throws…

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