Step 1: Analyze Statement I:
Borax bead test:
When borax is heated with cobalt salts, it forms cobalt metaborate \(\text{Co(BO}_2)_2\), which is indeed blue in colour.
\(\rightarrow\) Statement I is Correct.
Step 2: Analyze Statement II:
Preparation of Diborane:
Diborane (\(\text{B}_2\text{H}_6\)) is prepared in the lab by the oxidation of sodium borohydride (\(\text{NaBH}_4\)) with iodine (\(\text{I}_2\)).
Reaction: \(2\text{NaBH}_4 + \text{I}_2 \rightarrow \text{B}_2\text{H}_6 + 2\text{NaI} + \text{H}_2\).
\(\rightarrow\) Statement II is Correct.
Step 3: Analyze Statement III:
Oxidation state in Diborane:
Boron (Electronegativity \(\approx 2.0\)) is less electronegative than Hydrogen (Electronegativity \(\approx 2.1\)). Therefore, hydrogen is assigned an oxidation state of \(-1\) (hydride), and Boron is \(+3\). The statement says \(+1\).
\(\rightarrow\) Statement III is Incorrect.
Step 4: Analyze Statement IV:
Boric Acid:
Orthoboric acid (\(\text{H}_3\text{BO}_3\)) is a weak monobasic Lewis acid, not tribasic. It accepts an \(\text{OH}^-\) ion from water rather than donating 3 protons.
Reaction: \(\text{B(OH)}_3 + 2\text{H}_2\text{O} \rightleftharpoons [\text{B(OH)}_4]^- + \text{H}_3\text{O}^+\).
\(\rightarrow\) Statement IV is Incorrect.
Conclusion:
Only statements I and II are correct.
Final Answer:
Option (A).