JEE Main 2025 (Online) 24th January Evening Shift — Question Paper
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Physics
Chemistry
- The hydrocarbon (X) with molar mass 80 g mol⁻¹ and 90% carbon has _______ degree of…
- S( g)+3/2 O₂( g) → SO₃( g)+2 x kcal ; SO₂( g)+1/2 O₂( g) → SO₃( g)+y kcal The heat of…
- Given below are two statements : Statement (I) : is valid for first order reaction…
- For the reaction, H₂( g)+I₂( g)⇌ 2HI( g) Attainment of equilibrium is predicted…
- Based on the data given below : E_(Cr₂ O₇²⁻ / Cr³⁺)°=1.33 V, E_(Cl₂ / Cl⁽⁻⁾)°=1.36 V…
- For reaction The correct order of set of reagents for the above conversion is :
- Find the compound 'A ' from the following reaction sequences.; A→(aqua-regia)B→((1)KNO₂|…
- In the given structure, number of sp and sp² hybridized carbon atoms present…
- The conditions and consequence that favours the t_(2 g) ³ e_g ¹ configuration in a metal…
- When Ethane-1,2-diamine is added progressively to an aqueous solution of Nickel (II)…
- Given below are two statements : Statement (I) : The first ionization energy of Pb is…
- Consider a complex reaction taking place in three steps with rate constants k₁, k₂ and…
- Identify correct statement/s : (A) -OCH₃ and -NHCOCH₃ are activating group. (B) -CN and…
- Which of the following mixing of 1 M base and 1 M acid leads to the largest increase in…
- Match List - I with List - II. List - I (Transition metal ion) | List - II (Spin only…
- The possible number of stereoisomers for 5-phenylpent-4-en-2-ol is ________.
- Given below are two statements : Statement (I) : Experimentally determined oxygen-oxygen…
- The observed and normal molar masses of compound MX₂ are 65.6 and 164 respectively. The…
- In Carius method of estimation of halogen, 0.25 g of an organic compound gave 0.15 g of…
- For hydrogen atom, the orbital/s with lowest energy is/are : (A) 4 s (B) 3 pₓ (C) 3…
- The successive 5 ionisation energies of an element are 800,2427,3658,25024 and 32824 kJ…
- The elemental composition of a compound is 54.2 % C, 9.2 % H and 36.6 % O. If the molar…
Mathematics
- Let H₁: x²/a²-y²/b²=1 and H₂:-x²/A²+y²/B²=1 be two hyperbolas having length of latus…
- Let the position vectors of three vertices of a triangle be 4 p⃗+q⃗-3 r⃗,-5 p⃗+q⃗+2 r⃗…
- If ∫ (2x²+5x+9)/√(x²+x+1) dx=x√(x²+x+1)+α√(x²+x+1)+β logₑ|x+1/2+√(x²+x+1)|+C, where C is…
- Suppose A and B are the coefficients of 30ᵗʰ and 12ᵗʰ terms respectively in the binomial…
- The equation of the chord, of the ellipse x²/25+y²/16=1, whose mid-point is (3,1) is :
- If the equation of the parabola with vertex V(3/2, 3) and the directrix x+2 y=0 is α…
- Let the points (11/2,α) lie on or inside the triangle with sides x+y=11,x+2y=16 and…
- Let A=[aᵢⱼ] be a square matrix of order 2 with entries either 0 or 1 . Let E be the…
- Let A={x ∈(0, π)-{π/2}: log _((2 /π))|sin x|+log _((2 / π))|cos x|=2} and B={x ≥ 0…
- Number of functions f:{1,2, …, 100} →{0,1}, that assign 1 to exactly one of the positive…
- Let [x] denote the greatest integer function, and let m and n respectively be the…
- For some a, b, let f(x)=|a+(sin x)/x, 1, b; a, 1+(sin x)/x, b; a, 1, b+(sin x)/x|, x ≠…
- If 7=5+1/7(5+α)+1/7²(5+2 α)+1/7³(5+3 α)+… … … … ∞, then the value of α is :
- Let (2,3) be the largest open interval in which the function f(x)=2 log ₑ(x-2)-x²+a x+1…
- Let y=y(x) be the solution of the differential equation 2 cos x (d y)/(d x)=sin 2 x-4 y…
- If the system of equations x+2 y-3 z=2 ; 2 x+λ y+5 z=5 ; 14 x+3 y+μ z=33 has infinitely…
- Let f:(0, ∞) → R be a function which is differentiable at all points of its domain and…
- Let P be the image of the point Q(7,-2,5) in the line L: (x-1)/2=(y+1)/3=z/4 and R(5, p…
- If α>β>γ>0, then the expression cot ⁻¹{β+(1+β²)/(α-β)}+cot ⁻¹{γ+(1+γ²)/(β-γ)}+cot…
- Let a⃗=3 î-ĵ+2 k̂, b⃗=a⃗ ×(î-2 k̂) and c⃗=b⃗ × k̂. Then the projection of c⃗-2 ĵ on a⃗…
- The function f:(-∞, ∞) →(-∞, 1), defined by f(x)=(2ˣ-2⁻ˣ)/(2ˣ+2⁻ˣ) is :
- Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls…
- The area of the region enclosed by the curves y=eˣ,y=|eˣ-1| and y-axis is :
- In an arithmetic progression, if S₄₀=1030 and S₁₂=57, then S₃₀-S₁₀ is equal to :
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