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

Download this paper as a PDF (16 pages, with answer key)

Physics

• The area of cross section of the rope used to lift a load by a crane is 2.5 × 10⁻⁴ m²…
• Mass numbers of two nuclei are in the ratio of 4: 3. Their nuclear densities will be in…
• Light travels in two media M₁ and M₂ with speeds 1.5 × 10⁸ ms⁻¹ and 2.0 × 10⁸ ms⁻¹…
• The typical transfer characteristics of a transistor in CE configuration is shown in…
• A gas has n degrees of freedom. The ratio of specific heat of gas at constant volume to…
• A nucleus of mass M at rest splits into two parts having masses M′/3 and 2M'/3(M' < M)…
• Two uniformly charged spherical conductors A and B of radii 5 mm and 10 mm are separated…
• The oscillating magnetic field in a plane electromagnetic wave is given by B_y=5 × 10⁻⁶…
• A source of potential difference V is connected to the combination of two identical…
• In a coil of resistance 8 Ω, the magnetic flux due to an external magnetic field varies…
• Two masses M₁ and M₂ are tied together at the two ends of a light inextensible string…
• Two projectiles are thrown with same initial velocity making an angle of 45° and 30°…
• A body is projected vertically upwards from the surface of earth with a velocity equal…
• A ball of mass 0.15 kg hits the wall with its initial speed of 12 ms⁻¹ and bounces back…
• A potentiometer wire of length 300 cm is connected in series with a resistance 780 Ω and…
• Two lighter nuclei combine to form a comparatively heavier nucleus by the relation given…
• Two concentric circular loops of radii r₁=30 cm and r₂=50 cm are placed in X-Y plane as…
• A uniform heavy rod of mass 20 kg, cross sectional area 0.4 m² and length 20 m is…
• As per given figures, two springs of spring constants k and 2 k are connected to mass m…
• A body of mass 8 kg and another of mass 2 kg are moving with equal kinetic energy. The…
• Three point charges of magnitude 5 μ C, 0.16 μ C and 0.3 μ C are located at the vertices…
• In a Vernier Calipers, 10 divisions of Vernier scale is equal to the 9 divisions of main…
• In the given figure, the face A C of the equilateral prism is immersed in a liquid of…
• An ice cube of dimensions 60 cm × 50 cm × 20 cm is placed in an insulation box of wall…
• The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to…
• A transverse wave is represented by y=2 sin (ω t-k x) cm. The value of wavelength (in…
• If A⃗=(2î+3ĵ-k̂) m and B⃗=(î+2ĵ+2k̂) m. The magnitude of component of vector A⃗ along…
• A velocity selector consists of electric field E⃗=E k̂ and magnetic field B⃗=B ĵ with…
• A battery of 6 V is connected to the circuit as shown below. The current I drawn from…

Chemistry

• The spin-only magnetic moment value of the compound with strongest oxidizing ability…
• 20 mL of 0.02 M hypo solution is used for the titration of 10 mL of copper sulphate…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• Vulcanization of rubber is carried out by heating a mixture of
• Consider an imaginary ion ₂₂⁴⁸ X³⁻. The nucleus contains 'a'% more neutrons than the…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• Arrange the following in increasing order of their covalent character. A. CaF₂ B. CaCl₂…
• Animal starch is the other name of
• The products obtained from a reaction of hydrogen peroxide and acidified potassium…
• A 100 mL solution of CH₃ CH₂ MgBr on treatment with methanol produces 2.24 mL of a gas…
• Given below are two statements : one is labelled as Assertion A and the other is…
• The metal that has very low melting point and its periodic position is closer to a…
• The metal complex that is diamagnetic is (Atomic number: Fe, 26 ; Cu, 29)
• The metal that is not extracted from its sulfide ore is :
• The number of non-ionisable protons present in the product B obtained from the following…
• For the reaction H₂ F₂( g) → H₂( g)+F₂( g) Δ U=-59.6 kJ mol⁻¹ at 27° C. The enthalpy…
• The correct decreasing order of priority of functional groups in naming an organic…
• The elevation in boiling point for 1 molal solution of non-volatile solute A is 3 K. The…
• At 30° C, the half life for the decomposition of AB₂ is 200 s and is independent of the…
• Hydrolysis of which compound will give carbolic acid?
• Hemoglobin contains 0.34 % of iron by mass. The number of Fe atoms in 3.3 g of…
• Total number of isomers (including stereoisomers) obtained on monochlorination of…
• Class XII students were asked to prepare one litre of buffer solution of pH 8.26 by…
• The correct sequential order of the reagents for the given reaction is
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• How many of the following drugs is/are example(s) of broad spectrum antibiotics?…

Mathematics

• If z=x+i y satisfies |z|-2=0 and |z-i|-|z+5 i|=0, then :
• The equation of a common tangent to the parabolas y=x² and y=-(x-2)² is
• Numbers are to be formed between 1000 and 3000 , which are divisible by 4 , using the…
• Let β=lim _(x → 0) (α x-(e³ˣ-1))/(α x(e³ˣ-1)) for some α ∈ ℝ. Then the value of α+β is :
• The mean and standard deviation of 40 observations are 30 and 5 respectively. It was…
• The value of log ₑ 2 d/(d x)(log _(cos x) cosec x) at x=π/4 is
• ∫₀^(20 π)(|sin x|+|cos x|)² d x is equal to
• Let P and Q be any points on the curves (x-1)²+(y+1)²=1 and y=x², respectively. The…
• The acute angle between the pair of tangents drawn to the ellipse 2 x²+3 y²=5 from the…
• Let X be a binomially distributed random variable with mean 4 and variance 4/3. Then, 54…
• Let the solution curve y=f(x) of the differential equation (d y)/(d x)+(x…
• A vector a⃗ is parallel to the line of intersection of the plane determined by the…
• If 0 < x < 1/√2 and (sin ⁻¹x)/α = (cos ⁻¹x)/β, then the value of sin ( (2π α)/(α + β) )…
• Σ_(i,j = 0; i ≠ j)ⁿ ⁿCᵢ ⁿCⱼ is equal to
• The area bounded by the curves y=|x²-1| and y=1 is
• If the line x-1=0 is a directrix of the hyperbola k x²-y²=6, then the hyperbola passes…
• Let the abscissae of the two points P and Q on a circle be the roots of x²-4 x-6=0 and…
• Let A=[1; 1; 1] and B=[9², -10², 11²; 12², 13², -14²; -15², 16², 17²] , then the value…
• The largest value of a, for which the perpendicular distance of the plane containing the…
• The minimum value of the sum of the squares of the roots of x²+(3-a) x+1=2 a is:
• Let A={1,2,3,4,5,6,7} and B={3,6,7,9}. Then the number of elements in the set {C ⊆ A: C…
• If the sum of solutions of the system of equations 2 sin ² θ-cos 2 θ=0 and 2 cos ² θ+3…
• If Σₖ₌₁¹⁰ k/(k⁴+k²+1)=m/n, where m and n are co-prime, then m+n is equal to _____________.
• Different A.P.'s are constructed with the first term 100, the last term 199, and…
• The number of matrices A=(a, b; c, d), where a, b, c, d ∈{-1,0,1,2,3, … …, 10}, such…
• The plane passing through the line L: l x-y+3(1-l) z=1, x+2 y-z=2 and perpendicular to…
• The integral∫ (1-1/√3)(cos x-sin x)/(1+2/√3 sin 2x)dx is equal to
• Suppose y=y(x) be the solution curve to the differential equation (d y)/(d x)-y=2-e⁻ˣ…

Download all JEE Main 2022 PYQs chapter-wise as free PDFs