(a) Show that since the bulk modulus has SI units N/m2 and mass density has SI units kg/m3, Eq. (12-1) gives the speed of sound in m/s. Thus, the equation is dimensionally consistent.
(b) Show that no other combination of B and r can give dimensions of speed. Thus, Eq. (12- 1) must be correct except for the possibility of a dimensionless constant.