When Ni\(^{2+}\) is complexed with ethane-1,2-diamine (en), it typically forms a coordination complex where ethane-1,2-diamine acts as a bidentate ligand, replacing water molecules. The complete replacement of water by three en ligands forms [Ni(en)\(_3\)]\(^{2+}\), which is known for its violet color and paramagnetic properties due to unpaired electrons in the d-orbital of Ni\(^{2+}\).
Conclusion: The correct formula and properties are given by option (3) [Ni(en)\(_3\)]\(^{2+}\), confirming it as paramagnetic.Concentrated nitric acid is labelled as 75% by mass. The volume in mL of the solution which contains 30 g of nitric acid is:
Given: Density of nitric acid solution is 1.25 g/mL.
Arrange the following in increasing order of solubility product:
\[ {Ca(OH)}_2, {AgBr}, {PbS}, {HgS} \]
Match List - I with List - II.
List - I (Saccharides) List - II (Glycosidic linkages found)
(A) Sucrose (I) \( \alpha 1 - 4 \)
(B) Maltose (II) \( \alpha 1 - 4 \) and \( \alpha 1 - 6 \)
(C) Lactose (III) \( \alpha 1 - \beta 2 \)
(D) Amylopectin (IV) \( \beta 1 - 4 \)
Choose the correct answer from the options given below:
Match List - I with List - II.
List - I (Complex) | List - II (Hybridisation) |
---|---|
(A) \([\text{CoF}_6]^{3-}\) | (I) \( d^2 sp^3 \) |
(B) \([\text{NiCl}_4]^{2-}\) | (II) \( sp^3 \) |
(C) \([\text{Co(NH}_3)_6]^{3+}\) | (III) \( sp^3 d^2 \) |
(D) \([\text{Ni(CN}_4]^{2-}\) | (IV) \( dsp^2 \) |
Choose the correct answer from the options given below:
List-I ( Types of hybridisation ) | List-II ( Distribution of hybrid orbitals in space ) | ||
A | sp$^3$ | (I) | Trigonal bipyramidal |
B | dsp$^2$ | (II) | Octahedral |
C | sp$^3$d | (III) | Tetrahedral |
D | sp$^3$d$^2$ | (IV) | Square Planar |
Given the function:
\[ f(x) = \begin{cases} \frac{(2x^2 - ax +1) - (ax^2 + 3bx + 2)}{x+1}, & \text{if } x \neq -1 \\ k, & \text{if } x = -1 \end{cases} \]
If \( a, b, k \in \mathbb{R} \) and \( f(x) \) is continuous for all \( x \), then the value of \( k \) is:
Given the function:
\[ f(x) = \begin{cases} \frac{2x e^{1/2x} - 3x e^{-1/2x}}{e^{1/2x} + 4e^{-1/2x}}, & \text{if } x \neq 0 \\ 0, & \text{if } x = 0 \end{cases} \]
Determine the differentiability of \( f(x) \) at \( x = 0 \).
A magnet suspended in a uniform magnetic field is heated so as to reduce its magnetic moment by 19%. By doing this, the time period of the magnet approximately
A Carnot heat engine has an efficiency of 10%. If the same engine is worked backward to obtain a refrigerator, then the coefficient of performance of the refrigerator is
Match the following physical quantities with their respective dimensional formulas.