JEE Main 2022 (Online) 26th July Morning Shift — Question Paper

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Physics

• A charge particle is moving in a uniform magnetic field (2 î+3 ĵ) T. If it has an…
• In an experiment to determine the Young's modulus of wire of a length exactly 1 m, the…
• A parallel beam of light of wavelength 900 nm and intensity 100 Wm⁻² is incident on a…
• Two projectiles thrown at 30° and 45° with the horizontal respectively, reach the…
• As per the given figure, two blocks each of mass 250 g are connected to a spring of…
• The percentage decrease in the weight of a rocket, when taken to a height of 32 km above…
• A monoatomic gas at pressure P and volume V is suddenly compressed to one eighth of its…
• The magnetic field of a plane electromagnetic wave is given by : B⃗=2 × 10⁻⁸ sin (0.5 ×…
• Resistances are connected in a meter bridge circuit as shown in the figure. The…
• The total charge on the system of capacitors C₁=1 μ F, C₂=2 μ F, C₃=4 μ F and C₄=3 μ F…
• The graph between 1/u and 1/v for a thin convex lens in order to determine its focal…
• A water drop of radius 1 cm is broken into 729 equal droplets. If surface tension of…
• In the circuit shown below, maximum zener diode current will be _________ mA.
• When a particle executes Simple Hormonic Motion, the nature of graph of velocity as a…
• A monkey of mass 50 kg climbs on a rope which can withstand the tension (T) of 350 N. If…
• In the hydrogen spectrum, λ be the wavelength of first transition line of Lyman series…
• 7 mol of a certain monoatomic ideal gas undergoes a temperature increase of 40 K at…
• A screw gauge of pitch 0.5 mm is used to measure the diameter of uniform wire of length…
• The effective current I in the given circuit at very high frequencies will be…
• In Young's double slit experiment, the fringe width is 12 mm. If the entire arrangement…
• The disintegration rate of a certain radioactive sample at any instant is 4250…
• B_X and B_Y are the magnetic fields at the centre of two coils X and Y respectively each…
• A disc of mass 1 kg and radius R is free to rotate about a horizontal axis passing…
• When a car is approaching the observer, the frequency of horn is 100 Hz. After passing…
• A composite parallel plate capacitor is made up of two different dielectric materials…
• In a series L R circuit X_L=R and power factor of the circuit is P₁. When capacitor with…
• If the initial velocity in horizontal direction of a projectile is unit vector î and the…
• The current I in the given circuit will be :

Chemistry

• Which of the following compounds is not aromatic?
• The amount of charge in F (Faraday) required to obtain one mole of iron from Fe₃ O₄ is…
• The wavelength of an electron and a neutron will become equal when the velocity of the…
• At 298 K, the equilibrium constant is 2× 10¹⁵ for the reaction : Cu(s)+2Ag⁺(aq)⇌…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• Match List - I with List - II. List I (Processes / Reactions) | List II (Catalyst); (A)…
• Which reactant will give the following alcohol on reaction with one mole of phenyl…
• The difference between spin only magnetic moment values of [Co(H₂ O)₆]Cl₂ and [Cr(H₂…
• The dark purple colour of KMnO₄ disappears in the titration with oxalic acid in acidic…
• Given two statements below : Statement I : In Cl₂ molecule the covalent radius is double…
• Borazine, also known as inorganic benzene, can be prepared by the reaction of…
• When 800 mL of 0.5 M nitric acid is heated in a beaker, its volume is reduced to half…
• For a reaction A → 2 B+C the half lives are 100 s and 50 s when the concentration of…
• Which technique among the following, is most appropriate in separation of a mixture of…
• Reaction of BeCl₂ with LiAlH₄ gives : (A) AlCl₃ (B) BeH₂ (C) LiH (D) LiCl (E) BeAlH₄…
• Which of the following can be used to prevent the decomposition of H₂ O₂ ?
• In the presence of sunlight, benzene reacts with Cl₂ to give product, X. The number of…
• 2.4 g coal is burnt in a bomb calorimeter in excess of oxygen at 298 K and 1 atm…
• Cl(•)+CH₄ → A+B A and B in the above atmospheric reaction step are :
• Which of the given reactions is not an example of disproportionation reaction?
• Which one of the following is a reducing sugar?
• Match List-I with List-II : List I (Compound) | List II (Shape); (A) | BrF₅ | (I) |…
• The correct stability order of the following diazonium salt is
• Chlorophyll extracted from the crushed green leaves was dissolved in water to make 2 L…
• Refining using liquation method is the most suitable for metals with :
• Stearic acid and polyethylene glycol react to form which one of the following soap/s…
• The difference in the reaction of phenol with bromine in chloroform and bromine in water…

Mathematics

• Consider two G.Ps. 2, 2², 2³, ..... and 4, 4², 4³, .... of 60 and n terms respectively…
• The mean and variance of a binomial distribution are α and α/3 respectively. If…
• If dy/dx + 2y tan x = sin x, 0 < x < π/2 and y( π/3 ) = 0, then the maximum value of…
• Let S={θ ∈[0,2 π]: 8^(2 sin ² θ)+8^(2 cos ² θ)=16} . Then n(s) + Σ_(θ ∈ S) ( sec ( π/4 +…
• If the coefficients of x and x² in the expansion of (1+x)ᵖ(1-x)^q, p, q ≤ 15, are -3 and…
• If the function f(x) = { (log ₑ(1 - x + x²) + log ₑ(1 + x + x²))/(sec x - cos x), ,, x ∈…
• The series of positive multiples of 3 is divided into sets…
• The odd natural number a, such that the area of the region bounded by y = 1, y = 3, x =…
• The number of distinct real roots of the equation x⁵(x³-x²-x+1)+x(3 x³-4 x²-2 x+4)-1=0…
• A point P moves so that the sum of squares of its distances from the points (1,2) and…
• The length of the perpendicular from the point (1,-2,5) on the line passing through…
• The equations of the sides AB,BC and CA of a triangle ABC are 2x+y=0,x+py=15a and x-y=3…
• tan (2 tan ⁻¹ 1/5+sec ⁻¹ √5/2+2 tan ⁻¹ 1/8) is equal to :
• Let a curve y=y(x) pass through the point (3,3) and the area of the region under this…
• If the system of linear equations. 8x + y + 4z = - 2 x + y + z = 0 λ x - 3y = μ has…
• Let the tangent drawn to the parabola y²=24 x at the point (α, β) is perpendicular to…
• If for some p, q, r ∈ R, not all have same sign, one of the roots of the equation…
• Let E₁, E₂, E₃ be three mutually exclusive events such that P(E₁)=(2+3 p)/6…
• If f(x) = { x + a, ,, x ≤ 0; |x - 4|, ,, x > 0 and g(x) = { x + 1, ,, x < 0; (x - 4)² +…
• Let f : R → R be a continuous function such that f(3x) - f(x) = x. If f(8) = 7, then…
• Let f(x) = { x³ - x² + 10x - 7,, x ≤ 1; - 2x + log ₂(b² - 4),, x > 1 . Then the set of…
• Let A be a 2 × 2 matrix with det (A) = - 1 and det ((A + I) (Adj (A) + I)) = 4. Then the…
• Let O be the origin and A be the point z₁ = 1 + 2i. If B is the point z₂, Re (z₂) < 0…
• If n(2 n+1) ∫₀¹(1-xⁿ)²ⁿ d x=1177 ∫₀¹(1-xⁿ)²ⁿ⁺¹ d x, then n ∈ N is equal to ______________.
• If a = lim _(n → ∞) Σₖ₌₁ⁿ 2n/(n² + k²) and f(x) = √((1 - cos x)/(1 + cos x)), x ∈ (0,1)…
• Let Q and R be two points on the line (x+1)/2=(y+2)/3=(z-1)/2 at a distance √26 from the…
• The number of 5-digit natural numbers, such that the product of their digits is 36 , is…
• Let a⃗=α î+ĵ-k̂ and b⃗=2 î+ĵ-α k̂, α>0. If the projection of a⃗ × b⃗ on the vector -î+2…
• Let the function f(x)=2 x²-log ₑ x, x>0, be decreasing in (0, a) and increasing in (a…

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