We know sound wave is longitudinal wave and propagation of longitudinal wave depends on bulk modulus(Volume elasticity). But why is The speed of sound in a solid the depends on the Young’s modulus of the medium and the density, $v = \sqrt{(Y/\text{density of medium})}$ It should also be the same as for liquids and gases $v = \sqrt{(B/\text{density of media})}$

We know that sound waves are longitudinal waves and that the propagation of longitudinal waves depends on the bulk modulus $B$ (volumetric elasticity). Why, then, does the speed of sound in a solid depend on the Young’s modulus $Y$ of the medium and the density, $$v = \sqrt{(Y/\text{density of the medium})}?$$ The form should be the same as for liquids and gases: $$v = \sqrt{(B/\text{density of the medium})}.$$

We know sound wave is longitudinal wave and propagation of longitudinal wave depends on bulk modulus(Volume elasticity). But why is The speed of sound in a solid the depends on the Young’s modulus of the medium and the density, v =√(Y/density of medium) It should also be the same as for liquids and gases v = √(B/density of media)

We know sound wave is longitudinal wave and propagation of longitudinal wave depends on bulk modulus(Volume elasticity). But why is The speed of sound in a solid the depends on the Young’s modulus of the medium and the density, $v = \sqrt{(Y/\text{density of medium})}$ It should also be the same as for liquids and gases $v = \sqrt{(B/\text{density of media})}$