Physics Question from JEE Main 2023 · 11 April, Shift 2

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 _____ Hz.