JEE Main 2022 (Online) 25th July Morning Shift — Question Paper

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Physics

• The momentum of an electron revolving in nᵗʰ orbit is given by : (Symbols have their…
• Three identical particles A, B and C of mass 100 kg each are placed in a straight line…
• Which of the following physical quantities have the same dimensions?
• Two charged particles, having same kinetic energy, are allowed to pass through a uniform…
• The energy band gap of semiconducting material to produce violet (wavelength = 4000Aᵒ )…
• Eight copper wire of length l and diameter d are joined in parallel to form a single…
• An observer is riding on a bicycle and moving towards a hill at 18 kmh⁻¹. He hears a…
• In the circuit, the logical value of A=1 or B=1 when potential at A or B is 5 V and the…
• A unit scale is to be prepared whose length does not change with temperature and remains…
• The rms value of conduction current in a parallel plate capacitor is 6.9 μ A. The…
• Four forces are acting at a point P in equilibrium as shown in figure. The ratio of…
• A certain amount of gas of volume V at 27° C temperature and pressure 2 × 10⁷ Nm⁻²…
• A wire of length L and radius r is clamped rigidly at one end. When the other end of the…
• A car is moving with speed of 150 km / h and after applying the break it will move 27 m…
• Which of the following statement is correct?
• A small square loop of wire of side l is placed inside a large square loop of wire…
• In figure (A), mass '2 m^' is fixed on mass 'm ' which is attached to two springs of…
• A metal exposed to light of wavelength 800 nm and and emits photoelectrons with a…
• A body of mass 0.5 kg travels on straight line path with velocity v=(3 x²+4) m / s. The…
• If momentum [P], area [A] and time [T] are taken as fundamental quantities, then the…
• A solid cylinder and a solid sphere, having same mass M and radius R, roll down the same…
• A person moved from A to B on a circular path as shown in figure. If the distance…
• To increase the resonant frequency in series LCR circuit,
• Time taken by light to travel in two different materials A and B of refractive indices…
• In the given figure, the value of Vₒ will be _____________ V.
• The volume charge density of a sphere of radius 6 m is 2 μ C cm⁻³. The number of lines…
• The magnetic moment of an electron (e) revolving in an orbit around nucleus with an…
• A condenser of 2 μ F capacitance is charged steadily from 0 to 5 C. Which of the…

Chemistry

• SO₂ Cl₂ on reaction with excess of water results into acidic mixture SO₂ Cl₂+2 H₂ O → H₂…
• Melamine polymer is formed by the condensation of:
• During the denaturation of proteins, which of these structures will remain intact?
• Consider the following metal complexes : [Co(NH₃)₆]³⁺ [CoCl(NH₃)₅]²⁺ [Co(CN)₆]³⁻…
• In the given reaction The number of chiral carbon/s in product A is ___________.
• A compound ‘A’ on reaction with ‘X’ and ‘Y’ produces the same major product but…
• 20 mL of 0.1 M NH₄ OH is mixed with 40 mL of 0.05 M HCl. The pH of the mixture is…
• The IUPAC nomenclature of an element with electronic configuration [Rn] 5 f¹⁴ 6 d¹ 7 s²…
• Given below are two statements : Statement I : On heating with KHSO₄, glycerol is…
• The compound(s) that is (are) removed as slag during the extraction of copper is : (A)…
• The geometry around boron in the product 'B' formed from the following reaction is…
• Match List I with List II List I | List II; (A) | N₂(g) + 3H₂(g) → 2NH₃(g) | (I) | Cu…
• The enthalpy of combustion of propane, graphite and dihydrogen at 298 K are -2220.0 kJ…
• The interhalogen compound formed from the reaction of bromine with excess of fluorine is…
• Choose the correct order of density of the alkali metals :
• The number of sp³ hybridised carbons in an acyclic neutral compound with molecular…
• An organic compound 'A' on reaction with NH₃ followed by heating gives compound B. Which…
• The half life for the decomposition of gaseous compound A is 240 s when the gaseous…
• The reaction of H₂ O₂ with potassium permanganate in acidic medium leads to the…
• Among Co³⁺, Ti²⁺, V²⁺ and Cr²⁺ ions, one if used as a reagent cannot liberate H₂ from…
• Which of the following sets of quantum numbers is not allowed?
• While estimating the nitrogen present in an organic compound by Kjeldahl's method, the…
• Among the following species N₂, N₂⁺, N₂⁻, N₂²⁻, O₂, O₂⁺, O₂⁻, O₂²⁻ the number of species…
• The depression in freezing point observed for a formic acid solution of concentration…
• The cell potential for Zn|Zn²⁺(aq)||Snˣ⁺| Sn is 0.801 V at 298 K. The reaction quotient…
• Drugs used to bind to receptors, inhibiting is natural function and blocking a message…

Mathematics

• The number of solutions of |cos x|=sin x, such that -4 π ≤ x ≤ 4 π is :
• The slope of the tangent to a curve C: y=y(x) at any point (x, y) on it is (2 e²ˣ-6…
• If α, β, γ, δ are the roots of the equation x⁴+x³+x²+x+1=0, then α²⁰²¹+β²⁰²¹+γ²⁰²¹+δ²⁰²¹…
• If the numbers appeared on the two throws of a fair six faced die are α and β, then the…
• The total number of functions, f:{1,2,3,4} →{1,2,3,4,5,6} such that f(1)+f(2)=f(3), is…
• The line of shortest distance between the lines (x-2)/0=(y-1)/1=z/1 and…
• If lim _(n → ∞) ( √(n² - n - 1) + nα + β ) = 0, then 8(α+β) is equal to :
• Let the equation of two diameters of a circle x²+y²-2 x+2 f y+1=0 be 2 p x-y=1 and 2 x+p…
• If lim _(n → ∞) (n+1)ᵏ⁻¹/nᵏ⁺¹[(n k+1)+(n k+2)+…+(n k+n)] ; =33 · lim _(n → ∞) 1/nᵏ⁺¹…
• A line, with the slope greater than one, passes through the point A(4,3) and intersects…
• Let A=(2, -1, -1; 1, 0, -1; 1, -1, 0) and B=A-I. If ω=(√3 i-1)/2, then the number of…
• The area of the region given by A={(x,y):x²≤ y≤ min{x+2,4-3x}} is :
• For n ∈ N, let Sₙ={z ∈ C:|z-3+2 i|=n/4} and Tₙ={z ∈ C:|z-2+3 i|=1/n}. Then the number of…
• Let ABC be a triangle such that BC⃗=a⃗, CA⃗=b⃗, AB⃗=c⃗,|a⃗|=6 √2,|b⃗|=2 √3 and b⃗ ·…
• Let a₁=b₁=1, aₙ=aₙ₋₁+2 and bₙ=aₙ+bₙ₋₁ for every natural number n ≥ 2. Then Σₙ₌₁¹⁵ aₙ.bₙ…
• The curve y(x)=a x³+b x²+c x+5 touches the x-axis at the point P(-2,0) and cuts the…
• The sum of diameters of the circles that touch (i) the parabola 75 x²=64(5 y-3) at the…
• Let a, b be two non-zero real numbers. If p and r are the roots of the equation x²-8 a…
• Let the locus of the centre (α,β),β>0, of the circle which touches the circle…
• Let P be the plane containing the straight line (x-3)/9=(y+4)/-1=(z-7)/-5 and…
• If the absolute maximum value of the function f(x)=(x²-2 x+7) e^((4 x³-12 x²-180 x+31))…
• If the maximum value of the term independent of t in the expansion of (t²…
• For any real number x, let [x] denote the largest integer less than equal to x. Let f be…
• The number of θ ∈(0,4 π) for which the system of linear equations 3(sin 3 θ) x-y+z=2…
• If the sum and the product of mean and variance of a binomial distribution are 24 and…
• The letters of the word 'MANKIND' are written in all possible orders and arranged in…
• Let f(x)={|4 x²-8 x+5|, if 8 x²-6 x+1 ≥ 0; [4 x²-8 x+5], if 8 x²-6 x+1<0, where [α]…
• The general solution of the differential equation (x-y²) d x+y(5 x+y²) d y=0 is :

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