A and B are two metals. The standard reduction potential of \(\mathrm{A}^{+}(\mathrm{aq}) / \mathrm{A}(\mathrm{s})\) and \(\mathrm{B}^{+}(\mathrm{aq}) / \mathrm{B}(\mathrm{s})\) are \(-0.5 \mathrm{~V}\) and \(+0.5 \mathrm{~V}\) respectively. What is the \(\log K_C\) value for the following reaction at \(298 \mathrm{~K}\) ? \[ \mathrm{A}(\mathrm{s})+\mathrm{B}^{+}(\mathrm{aq}) \rightleftharpoons \mathrm{A}^{+}(\mathrm{aq})+\mathrm{B}(\mathrm{s}) \] \(\left(\right.\) Given : \(\left.\frac{2.303 R T}{F}=0.06 \mathrm{~V}\right)\)

1. A \(\frac{6}{100}\)
2. B \(\frac{100}{6}\)
3. C \(\frac{}{200}\)
4. D \(\frac{200}{6}\)