Two immiscible liquids of refractive indices \(\frac{8}{5}\) and \(\frac{3}{2}\)respectively are put in a beaker as shown in the figure. The height of each column is 6 cm. A coin is placed at the bottom of the beaker. For near normal vision, the apparent depth of the coin is \(\frac{\alpha}{4}\, cm\). The value of \(\alpha\) is ______.
