A wire of density \( 9 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3} \) is stretched between two clamps \( 1 \mathrm{~m} \…

A wire of density \( 9 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3} \) is stretched between two clamps \( 1 \mathrm{~m} \) apart and is subjected to an extension of \( 4.9 \times 10^{-4} \mathrm{~m} \). What will be the lowest frequency (in Hz) of transverse vibration in the wire? \( \left(Y=9 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}\right) \)

[JEE Main 2020, 2 Sep (Shift 2)]