2.7 Derive the linear wave equation of the form.
(d^(2)y)/(dx^(2))=(1)/(v^(2))(d^(2)y)/(dt^(2))2.8 The length of an air column is varied by adjusting the water level in a pipe. A vibrating tuning fork is placed at the open end. As the water is lowered, the first resonance is heard when the length of the column is
18.9cm, while the fourth resonance is heard when the column is
96.1cm. Determine the frequency of the tuning fork. 2.9 Show that the velocity of a longitudinal wave, e.g. sound propagating in a fluid of density
\rho and bulk modulus
Bis given by the equation
v=\sqrt((B)/(\rho ))[4]