(a) In a liquid with density `1300 kg //m^(3)` , longitudinal waves frequency `400 H_(Z)` are found to have wavelength `8.00 m` . Calculate the bulk modulus of the liquid. (b) A metal bar with a length of `1.50 m` has density `6400 kg//m^(3)` . Longitudinal sound waves take `3.90xx10^(-4)` s to travel from one end of the bar to the other. What is young's modulus for this metal?

Answer

A, B, C, D

Explanation

(a) `nu = flambda = sqrt((B)/(rho))`
`:. B = rho (f lambda)^(2)`
= `(1300)(400 xx 8^(2))`
= `1.33 x 10^(10) N//m^(2)`
(b) `nu = (l)/(t) = sqrt((Y)/(rho))`
`:. Y = rho ((l)/(t))^(2) = (6400) (((1.5))/(3.9 xx10 ^(-4)))^(2)`
= `9.47 xx 10^(10) N//m^(2)`