JEE Main 2023 (Online) 11th April Evening Shift — Question Paper

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Physics

• When vector A⃗=2î+3ĵ+2k̂ is subtracted from vector B⃗, it gives a vector equal to 2ĵ…
• An electron is allowed to move with constant velocity along the axis of current carrying…
• A circular plate is rotating in horizontal plane, about an axis passing through its…
• In the given circuit, C₁=2 μ F, C₂=0.2 μ F, C₃=2 μ F, C₄=4 μ F, C₅=2 μ F, C₆=2 μ F, The…
• The Thermodynamic process, in which internal energy of the system remains constant is
• As shown in the figure, a plane mirror is fixed at a height of 50 cm from the bottom of…
• The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic…
• A block of mass 5 kg starting from rest pulled up on a smooth incline plane making an…
• If force (F), velocity (V) and time (T) are considered as fundamental physical quantity…
• A wire of density 8 × 10³ kg / m³ is stretched between two clamps 0.5 m apart. The…
• When one light ray is reflected from a plane mirror with 30° angle of reflection, the…
• A body of mass 500 g moves along x-axis such that it's velocity varies with displacement…
• The logic operations performed by the given digital circuit is equivalent to:
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• Eight equal drops of water are falling through air with a steady speed of 10 cm / s. If…
• A metallic cube of side 15 cm moving along y-axis at a uniform velocity of 2 ms⁻¹. In a…
• The surface tension of soap solution is 3.5 × 10⁻² Nm⁻¹. The amount of work done…
• A nucleus disintegrates into two nuclear parts, in such a way that ratio of their…
• A projectile is projected at 30° from horizontal with initial velocity 40 ms⁻¹. The…
• A plane electromagnetic wave of frequency 20 MHz propagates in free space along…
• Two identical cells each of emf 1.5 V are connected in series across a 10 Ω resistance…
• A car P travelling at 20 ms⁻¹ sounds its horn at a frequency of 400 Hz. Another car Q is…
• A space ship of mass 2 × 10⁴ kg is launched into a circular orbit close to the earth…
• The current flowing through R₂ is :
• The root mean square speed of molecules of nitrogen gas at 27° C is approximately…
• A coil has an inductance of 2 H and resistance of 4 Ω. A 10 V is applied across the…
• The energy of He⁺ ion in its first excited state is, (The ground state energy for the…
• If V is the gravitational potential due to sphere of uniform density on it's surface…
• A capacitor of capacitance C is charged to a potential V. The flux of the electric field…

Chemistry

• Given below are two statements, one is labelled as Assertion A and the other is labelled…
• If Ni²⁺ is replaced by Pt²⁺ in the complex [NiCl₂ Br₂]²⁻, which of the following…
• One mole of P₄ reacts with 8 moles of SOCl₂ to give 4 moles of A, x mole of SO₂ and 2…
• The volume of hydrogen liberated at STP by treating 2.4 g of magnesium with excess of…
• Given below are two statements, one is labelled as Assertion A and the other is labelled…
• The number of correct statements from the following is ___________. A. For 1 s orbital…
• Alkali metal from the following with least melting point is :
• For a chemical reaction A+B → Product, the order is 1 with respect to A and B. Rate mol…
• The magnetic moment is measured in Bohr Magneton (BM). Spin only magnetic moment of Fe…
• The number of correct statements from the following is __________ A. E_(cell) is an…
• Given below are two statements : Statement I : In the metallurgy process, sulphide ore…
• The number of possible isomeric products formed when 3-chloro-1-butene reacts with HCl…
• Which hydride among the following is less stable?
• Match List I with List II LIST I Complex | LIST II Colour; A. | Mg(NH₄)PO₄ | I. | brown…
• The number of correct statements about modern adsorption theory of heterogeneous…
• Compound from the following that will not produce precipitate on reaction with AgNO₃ is :
• A solution is prepared by adding 2 g of "X" to 1 mole of water. Mass percent of "X" in…
• The total number of intensive properties from the following is __________ Volume, Molar…
• Given below are two statements : Statement I : Ethene at 333 to 343 K and 6-7 atm…
• The maximum number of lone pairs of electrons on the central atom from the following…
• Mg(NO₃)₂ · XH₂ O and Ba(NO₃)₂ · YH₂ O, represent formula of the crystalline forms of…
• Which one of the following pairs is an example of polar molecular solids?
• 4.5 moles each of hydrogen and iodine is heated in a sealed ten litre vessel. At…
• Number of compounds from the following which will not produce orange red precipitate…
• What weight of glucose must be dissolved in 100 g of water to lower the vapour pressure…

Mathematics

• Let the function f:[0,2] → ℝ be defined as f(x)= e^(min {x², x-[x]},) x ∈[0,1)…
• Let the probability of getting head for a biased coin be 1/4. It is tossed repeatedly…
• For a ∈ ℂ, let A={z ∈ ℂ: Re(a+z̄) > Im(ā+z)} and B={z ∈ ℂ: Re(a+z̄)<Im(ā+z)}. Then…
• The number of points, where the curve f(x)=e⁸ˣ-e⁶ˣ-3 e⁴ˣ-e²ˣ+1, x ∈ ℝ cuts x-axis, is…
• Let the line passing through the points P(2,-1,2) and Q(5,3,4) meet the plane x-y+z=4 at…
• Let the tangent to the parabola y²=12 x at the point (3, α) be perpendicular to the line…
• If the radius of the largest circle with centre (2,0) inscribed in the ellipse x²+4y²=36…
• If the system of linear equations 7 x+11 y+α z=13 ; ; 5 x+4 y+7 z=β ; ; 175 x+194 y+57…
• Let the line l: x=(1-y)/-2=(z-3)/λ, λ ∈ ℝ meet the plane P: x+2 y+3 z=4 at the point (α…
• If the 1011ᵗʰ term from the end in the binominal expansion of ((4 x)/5-5/(2 x))²⁰²² is…
• |x+1, x, x; x, x+λ, x; x, x, x+λ²|=9/8(103 x+81), then λ, λ/3 are the roots of the…
• The sum of the coefficients of three consecutive terms in the binomial expansion of…
• Let y=y(x) be the solution of the differential equation (d y)/(d x)+5/x(x⁵+1)…
• If A is the area in the first quadrant enclosed by the curve C:2x²-y+1=0, the tangent to…
• Let A={1,3,4,6,9} and B={2,4,5,8,10}. Let R be a relation defined on A × B such that…
• Let P be the plane passing through the points (5,3,0),(13,3,-2) and (1,6,2). For α ∈ ℕ…
• Let f and g be two functions defined by f(x)={x+1,, x < 0; |x-1|,, x ≥ 0 and g(x)={x+1…
• The domain of the function f(x)=1/√([x]²-3[x]-10) is : ( where [x] denotes the greatest…
• If f: ℝ → ℝ be a continuous function satisfying ∫0^(π/2) f(sin 2 x) sin x d x+α ∫0^(π/4)…
• Let a⃗=î+2 ĵ+3 k̂ and b⃗=î+ĵ-k̂. If c⃗ is a vector such that a⃗ · c⃗=11, b⃗ ·(a⃗ ×…
• Let S={z ∈ ℂ-{i, 2 i}: (z²+8 i z-15)/(z²-3 i z-2) ∈ ℝ}. If α-13/11 i ∈ S, α ∈ ℝ-{0}…
• If four distinct points with position vectors a⃗, b⃗, c⃗ and d⃗ are coplanar, then [a⃗…
• If the letters of the word MATHS are permuted and all possible words so formed are…
• Let A={1,2,3,4,5} and B={1,2,3,4,5,6}. Then the number of functions f: A → B satisfying…
• Let the mean of 6 observations 1,2,4,5, x and y be 5 and their variance be 10 . Then…
• For k ∈ ℕ, if the sum of the series 1+4/k+8/k²+13/k³+19/k⁴+… is 10 , then the value of k…
• Let a, b, c and d be positive real numbers such that a+b+c+d=11. If the maximum value of…

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