JEE Main 2022 (Online) 30th June Morning Shift — Question Paper
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Physics
Chemistry
- Spin only magnetic moment (μₛ) of K₃[Fe(CN)₆] is ____________ B.M. (Nearest integer)
- For a solution of the gases A, B, C and D in water at 298 K, the values of Henry's law…
- The number of radial nodes and total number of nodes in 4p orbital respectively are :
- ΔG° vs T plot for the formation of MgO, involving reaction 2Mg + O₂ → 2MgO, will look…
- An element X has a body centred cubic (bcc) structure with a cell edge of 200 pm. The…
- For the reaction P → B, the values of frequency factor A and activation energy E A are 4…
- TLC analysis of a mixture having 3 components (A, B, C) using silica gel as the…
- A → ^(573 K) Red phosphorus → _(under pressure)^(heat ; 803 K) B Red phosphorus is…
- Amongst the following, the number of molecule/(s) having net resultant dipole moment is…
- Which one of the following chemicals has not been used for the dry cleaning of clothes?
- How many of the following drugs belong to the tranquilizer class _____________ ?…
- The equilibrium constant for the reversible reaction 2A(g) ⇌ 2B(g) + C(g) is K₁ 3/2A(g)…
- An organic compound with 51.6% sulfur is heated in a Carius tube. The amount of this…
- The correct order of electron gain enthalpy (- ve value) is :
- Correct statement about alkali metal oxides is :
- The sugar produced after complete hydrolysis of DNA is
- The reagent neutral ferric chloride is used to detect the presence of ______________
- 100 mL of 0.3 M acetic acid is shaken with 0.8 g of wood charcoal. The final…
- In the following brown complex, the oxidation state of iron is +_____________…
- Blister copper is produced by reaction of copper oxide with copper sulphide. 2Cu₂O +…
- In which of the following half cells, electrochemical reaction is pH dependent?
- Match List - I with List - II : List-I | List-II; (a) | Sodium hydride | (i) | Lewis…
- 1.0 mol of monoatomic ideal gas is expanded from state 1 to state 2 as shown in the…
- A hydrocarbon 'X' is found to have molar mass of 80. A 10.0 mg of compound 'X' on…
- Correct formula of the compound which gives a white precipitate with BaCl₂ solution, but…
Mathematics
- Let dy/dx = (ax - by + a)/(bx + cy + a), a,b,c ∈ R, represents a circle with center (α…
- Let f(t) = ∫₀ᵗ e^(x³)( x⁸/(x⁶ + 2x³ + 2)² )dx . If f(1) + f'(1) = α e - 1/6, then the…
- Let m and M respectively be the minimum and the maximum values of f(x) = sin ⁻¹2x + sin…
- A hostel has 100 students. On a certain day (consider it day zero) it was found that two…
- Let A = [ 1, - 2, α; α, 2, - 1 ] and B = [ 2, α; - 1, 2; 4, - 5 ], α ∈ C. Then the…
- Suppose lim _(x → 0) F(x)/x³ exists and is equal to L, where F(x) = | a + sin x/2, - b…
- Let S₁ = { x ∈ R - { 1,2} :(x + 2)(x² + 3x + 5)/(- 2 + 3x - x²) ≥ 0 } and S₂ = { x ∈…
- Let α₁, α₂ (α₁ < α₂) be the values of α fo the points (α, -3), (2, 0) and (1, α) to be…
- The real part of the complex number ((1 + 2i)⁸ . (1 - 2i)²)/((3 + 2i) . (4 - 6i)̅) is…
- Let A and B be two square matrices of order 2. If det (A) = 2, det (B) = 3 and det (…
- lim _(n → ∞) Σᵣ₌₁ⁿ r/(2r² - 7rn + 6n²) is equal to :
- The value of 1 + 1/(1 + 2) + 1/(1 + 2 + 3) + .... + 1/(1 + 2 + 3 + ..... + 11) is equal…
- If xy⁴ attains maximum value at the point (x, y) on the line passing through the points…
- Let α = tan ( 5π/16 sin ( 2cos ⁻¹( 1/√5 ) ) ) and β = cos ( sin ⁻¹( 4/5 ) + sec ⁻¹( 5/3…
- Consider a triangle ABC whose vertices are A(0, α, α), B(α, 0, α) and C(α, α, 0), α > 0…
- For two positive real numbers a and b such that 1/a² + 1/b³ = 4, then minimum value of…
- Let a vector c⃗ be coplanar with the vectors a⃗ = - î + ĵ + k̂ and b⃗ = 2î + ĵ - k̂. If…
- Consider three circles: C₁:x² + y² = r² C₂:(x - 1)² + (y - 1)² = r² C₃:(x - 2)² + (y -…
- Let PQ be a focal chord of length 6.25 units of the parabola y² = 4x. If O is the vertex…
- Let S₁ = { x ∈ [0,12π ]:sin ⁵x + cos ⁵x = 1} and S₂ = { x ∈ [0,8π ]:sin ⁷x + cos ⁷x = 1}…
- Let for f(x) = a₀x² + a₁x + a₂, f'(0) = 1 and f'(1) = 0. If a₀, a₁, a₂ are in an…
- If for some α > 0, the area of the region {(x,y):|x+α|≤ y≤ 2-|x|} is equal to 3/2, then…
- The distance of the point (3, 2, -1) from the plane 3x - y + 4z + 1 = 0 along the line…
- The probability distribution of X is : X | 0 | 1 | 2 | 3; P(X) | (1 - d)/4 | (1 + 2d)/4…
- The number of 6-digit numbers made by using the digits 1, 2, 3, 4, 5, 6, 7, without…
- If a random variable X follows the Binomial distribution B(5, p) such that P(X = 0) =…
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