JEE Main 2023 (Online) 29th January Evening Shift — Question Paper

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Physics

• A null point is found at 200 cm in potentiometer when cell in secondary circuit is…
• In an experiment of measuring the refractive index of a glass slab using travelling…
• Identify the correct statements from the following : A. Work done by a man in lifting a…
• Unpolarised light is incident on the boundary between two dielectric media, whose…
• Given below are two statements : Statement I : Electromagnetic waves are not deflected…
• Heat energy of 184 kJ is given to ice of mass 600 g at -12° C. Specific heat of ice is…
• The time taken by an object to slide down 45° rough inclined plane is n times as it…
• A car is moving on a circular path of radius 600 m such that the magnitudes of the…
• A particle of mass 100 g is projected at time t = 0 with a speed 20 ms⁻¹ at an angle 45°…
• At 300 K, the rms speed of oxygen molecules is √((α + 5)/α) times to that of its average…
• The ratio of de-Broglie wavelength of an α particle and a proton accelerated from rest…
• The equation of a circle is given by x²+y²=a², where a is the radius. If the equation is…
• An object moves at a constant speed along a circular path in a horizontal plane with…
• A point charge 2×10⁻² C is moved from P to S in a uniform electric field of 30 NC⁻¹…
• A particle of mass 250 g executes a simple harmonic motion under a periodic force F=(-25…
• An inductor of inductance 2 μ H is connected in series with a resistance, a variable…
• The time period of a satellite of earth is 24 hours. If the separation between the earth…
• A square loop of area 25 cm² has a resistance of 10 Ω. The loop is placed in uniform…
• A scientist is observing a bacteria through a compound microscope. For better analysis…
• A fully loaded boeing aircraft has a mass of 5.4×10⁵ kg. Its total wing area is 500 m²…
• The electric current in a circular coil of four turns produces a magnetic induction 32 T…
• Substance A has atomic mass number 16 and half life of 1 day. Another substance B has…
• For the given logic gates combination, the correct truth table will be
• A force acts for 20 s on a body of mass 20 kg, starting from rest, after which the force…
• When two resistance R₁ and R₂ connected in series and introduced into the left gap of a…
• With the help of potentiometer, we can determine the value of emf of a given cell. The…
• For a charged spherical ball, electrostatic potential inside the ball varies with r as…
• A metal block of base area 0.20 m² is placed on a table, as shown in figure. A liquid…

Chemistry

• The one giving maximum number of isomeric alkenes on dehydrohalogenation reaction is…
• On heating, LiNO₃ gives how many compounds among the following __________…
• Which of the following relations are correct? (A) Δ U=q+pΔ V (B) Δ G=Δ H-TΔ S (C) Δ…
• A doctor prescribed the drug Equanil to a patient. The patient was likely to have…
• The volume of HCl, containing 73 g L⁻¹, required to completely neutralise NaOH obtained…
• Assume that the radius of the first Bohr orbit of hydrogen atom is 0.6 Aᵒ . The radius…
• Total number of acidic oxides among N₂O₃,NO₂,N₂O,Cl₂O₇,SO₂,CO,CaO,Na₂O and NO is…
• The major component of which of the following ore is sulphide based mineral?
• The equilibrium constant for the reaction Zn(s)+Sn²⁺(aq) ⇌ Zn²⁺(aq)+Sn(s) is 1×10²⁰ at…
• A metal M forms hexagonal close-packed structure. The total number of voids in 0.02 mol…
• When a hydrocarbon A undergoes combustion in the presence of air, it requires 9.5…
• The set of correct statements is : (i) Manganese exhibits +7 oxidation state in its…
• The denticity of the ligand present in the Fehling's reagent is ___________.
• An indicator 'X' is used for studying the effect of variation in concentration of iodide…
• At 298 K N₂ (g)+3H₂ (g)⇌ 2NH₃ (g), K₁=4× 10⁵ N₂ (g)+O₂ (g)⇌ 2NO (g), K₂=1.6× 10¹² H₂…
• Match List I with List II List I | List II; A. | van't Hoff factor, i | I. | Cryoscopic…
• When 0.01 mol of an organic compound containing 60% carbon was burnt completely, 4.4 g…
• Match List I and List II List I | List II; A. | Osmosis | I. | Solvent molecules pass…
• Given below are two statements : Statement I : Nickel is being used as the catalyst for…
• Given below are two statements : Statement I : The decrease in first ionization enthalpy…
• According to MO theory the bond orders for O₂²⁻, CO and NO⁺ respectively, are
• Correct order of spin only magnetic moment of the following complex ions is : (Given…
• Reaction of propanamide with Br₂/KOH(aq) produces :
• Match List I with List II List I | List II; A. | Elastomeric polymer | I. | Urea…
• For conversion of compound A → B, the rate constant of the reaction was found to be…
• A solution of Cr O₅ in amyl alcohol has a __________ colour.

Mathematics

• The plane 2x-y+z=4 intersects the line segment joining the points A (a,-2,4) and B…
• Let α₁,α₂,....,α₇ be the roots of the equation x⁷ + 3x⁵ - 13x³ - 15x = 0 and |α ₁| ≥ |α…
• Let { aₖ} and { bₖ} ,k ∈ N, be two G.P.s with common ratios r₁ and r₂ respectively such…
• Let S = { w₁,w₂,......} be the sample space associated to a random experiment. Let P(wₙ)…
• The letters of the word OUGHT are written in all possible ways and these words are…
• The set of all values of λ for which the equation cos²2x-2sin⁴x-2cos²x=λ has a real…
• If the tangent at a point P on the parabola y²=3x is parallel to the line x+2y=1 and the…
• If a⃗ = î + 2k̂,b⃗ = î + ĵ + k̂,c⃗ = 7î - 3ĵ + 4k̂,r⃗ × b⃗ + b⃗ × c⃗ = 0⃗ and r⃗ . a⃗ =…
• Let R be a relation defined on ℕ as aRb if 2a+3b is a multiple of 5,a,b∈ ℕ. Then R is
• A circle with centre (2, 3) and radius 4 intersects the line x+y=3 at the points P and…
• Let X={11,12,13,....,40,41} and Y={61,62,63,....,90,91} be the two sets of observations…
• Let A be a symmetric matrix such that |A|=2 and [ 2, 1; 3, 3/2 ]A = [ 1, 2; α, β ]. If…
• The set of all values of t∈ ℝ, for which the matrix [ eᵗ, e⁻ᵗ(sin t - 2 cos t), e⁻ᵗ( - 2…
• If the equation of the normal to the curve y = (x - a)/(x + b)(x - 2) at the point (1…
• If the lines (x - 1)/1 = (y - 2)/2 = (z + 3)/1 and (x - a)/2 = (y + 2)/3 = (z - 3)/1…
• The shortest distance between the lines (x - 1)/2 = (y + 8)/-7 = (z - 4)/5 and (x - 1)/2…
• Let f and g be the twice differentiable functions on ℝ such that f''(x)=g''(x)+6x…
• A triangle is formed by the tangents at the point (2, 2) on the curves y²=2x and…
• Let a⃗ = 4î + 3ĵ and b⃗ = 3î - 4ĵ + 5k̂. If c⃗ is a vector such that c⃗ .( a⃗ × b⃗ ) +…
• Let α = 8 - 14i,A = { z ∈ c:(α z - α̅ z̅)/(z² - ( z̅ )² - 112i)=1 } and B = { z ∈ c:| z…
• The area of the region A={(x,y):|cos x-sin x|≤ y≤ sin x,0≤ x≤ π/2} is
• Let K be the sum of the coefficients of the odd powers of x in the expansion of (1+x)⁹⁹…
• The total number of 4-digit numbers whose greatest common divisor with 54 is 2, is…
• Let y=y(x) be the solution of the differential equation xlog ₑxdy/dx + y = x²log ₑx,(x >…
• The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by…
• Consider a function f:ℕ→ℝ, satisfying f(1)+2f(2)+3f(3)+....+xf(x)=x(x+1)f(x);x≥2 with…
• The value of the integral ∫₁² ( (t⁴ + 1)/(t⁶ + 1) )dt is
• Let a₁=b₁=1 and aₙ = aₙ₋₁ + (n - 1),bₙ = bₙ₋₁ + aₙ₋₁,∀ n ≥ 2. If S = Σₙ₌₁¹⁰ bₙ/2ⁿ and T…
• The value of the integral ∫_(1/2)² (tan ⁻¹x)/xdx is equal to :

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