Consider the complex \( [Cu(NH_3)_4]^{2+} \). Which of the following statements is correct about this complex?
In the given complex, the copper ion has an oxidation state of +2.
The ammonia (NH\(_3\)) acts as a monodentate ligand, meaning it can only form one bond with the metal. The geometry of this complex is square planar because copper(II) in this case typically exhibits square planar geometry when coordinated with four ligands, especially in the \(d^9\) configuration.
- Statement A: The complex has a square planar geometry, and the oxidation state of Cu is +2, which is correct.
- Statement B: The complex does not exhibit sp\(^3\) hybridization; rather, it exhibits \(dsp^2\) hybridization in square planar geometry.
- Statement C: Ammonia (NH\(_3\)) is a monodentate ligand, not a bidentate ligand.
- Statement D: The copper ion in this case has a \(d^9\) configuration, not a \(d^9\) electronic configuration, meaning it's incorrect to say the complex has a \(d^9\) configuration.
Therefore, only statement A is correct.
Let \( T_r \) be the \( r^{\text{th}} \) term of an A.P. If for some \( m \), \( T_m = \dfrac{1}{25} \), \( T_{25} = \dfrac{1}{20} \), and \( \displaystyle\sum_{r=1}^{25} T_r = 13 \), then \( 5m \displaystyle\sum_{r=m}^{2m} T_r \) is equal to:
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): The density of the copper ($^{64}Cu$) nucleus is greater than that of the carbon ($^{12}C$) nucleus.
Reason (R): The nucleus of mass number A has a radius proportional to $A^{1/3}$.
In the light of the above statements, choose the most appropriate answer from the options given below: