A metallic wire of length l is held between two supports under some tension. The wire is cooled through $$\theta^\circ$$. Let Y be the Young's modulus, $$\rho$$ the density and $$\alpha$$ the thermal coefficient of linear expansion of the material of the wire. Therefore, the frequency of oscillations of the wire varies as

A

$$\sqrt{Y}$$

B

$$\sqrt{\theta}$$

C

$$\frac{1}{l}$$

D

$$\sqrt{\frac{\alpha}{\rho}}$$