Which one of the following complexes is violet in colour?

Which one of the following is correct for the adsorption of a gas at a given temperature on a solid surface?

Which one of the following when dissolved in water gives coloured solution in nitrogen atmosphere?

The major products formed in the following reaction sequence A and B are :

The major product formed in the following reaction is :

The major product formed in the following reaction is :

The polymer formed on heating Novolac with formaldehyde is :

Given below are two statements :

Statement I : The limiting molar conductivity of KCl (strong electrolyte) is higher compared to that of CH₃COOH (weak electrolyte).

Statement II : Molar conductivity decreases with decrease in concentration of electrolyte.

In the light of the above statements, choose the most appropriate answer from the options given below :

The correct options for the products A and B of the following reactions are :

The conversion of hydroxyapatite occurs due to presence of F⁻ ions in water. The correct formula of hydroxyapatite is :

Given below are two statements.

Statement I : In the titration between strong acid and weak base methyl orange is suitable as an indicator.

Statement II : For titration of acetic acid with NaOH phenolphthalein is not a suitable indicator.

In the light of the above statements, choose the most appropriate answer from the options given below :

Among the following compounds I-IV, which one forms a yellow precipitate on reacting sequentially with (i) NaOH (ii) dil. HNO₃ (iii) AgNO₃?

Which one of the following methods is most suitable for preparing deionized water?

Given below are two statements :

Statement I : The choice of reducing agents for metals extraction can be made by using Ellingham diagram, a plot of ΔG vs temperature.

Statement II : The value of ΔS increases from left to right in Ellingham diagram.

In the light of the above statements, choose the most appropriate answer from the options given below :

What are the products formed in sequence when excess of CO₂ is passed in slaked lime?

Given below are two statements.

Statement I : According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in positive charges on the nucleus as there is no strong hold on the electron by the nucleus.

Statement II : According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in principal quantum number.

In the light of the above statements, choose the most appropriate answer from the options given below :

The correct sequential addition of reagents in the preparation of 3-nitrobenzoic acid from benzene is :

Given below are two statements.

Statement I : Frenkel defects are vacancy as well as interstitial defects.

Statement II : Frenkel defect leads to colour in ionic solids due to presence of F-centres.

Choose the most appropriate answer for the statements from the options given below :

The incorrect statement is :

Excess of isobutane on reaction with Br₂ in presence of light at 125^∘C gives which one of the following, as the major product?

AB₃ is an interhalogen T-shaped molecule. The number of lone pairs of electrons on A is __________. (Integer answer)

These are physical properties of an element

(A) Sublimation enthalpy

(B) Ionisation enthalpy

(C) Hydration enthalpy

(D) Electron gain enthalpy

The total number of above properties that affect the reduction potential is ____________ (Integer answer)

Of the following four aqueous solutions, total number of those solutions whose freezing point is lower than that of 0.10 M C₂C₅OH is __________ (Integer answer)

(i) 0.10 M Ba₃(PO₄)₂

(ii) 0.10 M Na₂SO₄

(iii) 0.10 M KCl

(iv) 0.10 M Li₃PO₄

The OH⁻ concentration in a mixture of 5.0 mL of 0.0504 M NH₄Cl and 2 mL of 0.0210 M NH₃ solution is x × 10⁻⁶ M. The value of x is ___________. (Nearest integer)

[Given K_w = 1 × 10⁻¹⁴ and K_b = 1.8 × 10⁻⁵]

The number of 4f electrons in the ground statement electronic configuration of Gd²⁺ is ___________. [Atomic number of Gd = 64]

The sum of solutions of the equation

The mean and standard deviation of 20 observations were calculated as 10 and 2.5 respectively. It was found that by mistake one data value was taken as 25 instead of 35. if α and √β are the mean and standard deviation respectively for correct data, then (α, β) is :

On the ellipse  let P be a point in the second quadrant such that the tangent at P to the ellipse is perpendicular to the line x + 2y = 0. Let S and S' be the foci of the ellipse and e be its eccentricity. If A is the area of the triangle SPS' then, the value of (5 − e²). A is :

Let y = y(x) be a solution curve of the differential equation 

Let A and B be independent events such that P(A) = p, P(B) = 2p. The largest value of p, for which P (exactly one of A, B occurs) = 5/9, is :

Let θ ∈ (0,π/2). If the system of linear equations

(1 + cos²θ) x + sin²θy + 4sin⁡3θz = 0

cos²θx + (1 + sin²θ)y + 4sin⁡3θz = 0

cos²θx + sin²θy + (1 + 4sin⁡3θ)z = 0

has a non-trivial solution, then the value of θ is :

The sum of the series

If ²⁰C_r is the co-efficient of x^r in the expansion of (1 + x)²⁰, then the value of  is equal to :

Out of all patients in a hospital 89% are found to be suffering from heart ailment and 98% are suffering from lungs infection. If K% of them are suffering from both ailments, then K can not belong to the set :

If a line along a chord of the circle 4x² + 4y² + 120x + 675 = 0, passes through the point (−30, 0) and is tangent to the parabola y² = 30x, then the length of this chord is :

A plane P contains the line x + 2y + 3z + 1 = 0 = x − y − z − 6, and is perpendicular to the plane −2x + y + z + 8 = 0. Then which of the following points lies on P?

and Q = A^TBA, then the inverse of the matrix A Q²⁰²¹ A^T is equal to :

If the sum of an infinite GP a, ar, ar², ar³, ....... is 15 and the sum of the squares of its each term is 150, then the sum of ar², ar⁴, ar⁶, ....... is :

Let ABC be a triangle with A(−3, 1) and ∠ACB = θ, 0 < θ < π/2. If the equation of the median through B is 2x + y − 3 = 0 and the equation of angle bisector of C is 7x − 4y − 1 = 0, then tanθ is equal to :

If the truth value of the Boolean expression ((p ∨ q) ∧ (q → r) ∧ (∼r)) → (p ∧ q) is false, then the truth values of the statements p, q, r respectively can be :

The sum of all integral values of k (k ≠ 0) for which the equation   in x has no real roots, is ____________.

Let the line L be the projection of the line  in the plane x − 2y − z = 3. If d is the distance of the point (0, 0, 6) from L, then d² is equal to _______________.

A wire of length 36 m is cut into two pieces, one of the pieces is bent to form a square and the other is bent to form a circle. If the sum of the areas of the two figures is minimum, and the circumference of the circle is k (meter), then (4/π+1)k is equal to _____________.