\(B_2O_3\)
\(CO(BO_2)_2\)
\(COB_4O_7\)
\(CO[B_4O_5(OH)_4]\)
The question involves the borax bead test, a qualitative analysis technique used to identify certain metal ions based on the color of the bead formed when a metal compound is fused with borax in a flame. Let's go through the process to identify why the blue-colored bead is formed when borax is heated with cobalt oxide (CoO).
When borax \((\text{Na}_2\text{B}_4\text{O}_7 \cdot 10\text{H}_2\text{O})\) is heated, it loses water and forms sodium metaborate \((\text{NaBO}_2)\) and boric oxide \((\text{B}_2\text{O}_3)\):
\(\text{Na}_2\text{B}_4\text{O}_7 \cdot 10\text{H}_2\text{O} \rightarrow 2\text{NaBO}_2 + \text{B}_2\text{O}_3 + 10\text{H}_2\text{O}\)
The boric oxide \((\text{B}_2\text{O}_3)\) then reacts with the cobalt oxide \((\text{CoO})\) present on the platinum loop to form cobalt metaborate \((\text{Co(BO}_2)_2)\). This compound is responsible for the distinctive blue color of the bead:
\(\text{CoO} + \text{B}_2\text{O}_3 \rightarrow \text{Co(BO}_2)_2\)
Now, let's analyze why the correct answer is \(\text{Co(BO}_2)_2\):
Thus, the blue-colored bead is indeed due to the formation of cobalt metaborate, \(\text{Co(BO}_2)_2\).
Given below are two statements. 
In the light of the above statements, choose the correct answer from the options given below:
