A wire of density \( 8 \times 10^{3} \, \text{kg/m}^{3} \) is stretched between two clamps \( 0.5 \, \text{m} \) apart. The extension developed in the wire is \( 3.2 \times 10^{-4} \, \text{m} \). If \( Y = 8 \times 10^{10} \, \text{N/m}^{2} \), the fundamental frequency of vibration in the wire will be ________ \( \text{Hz} \).
