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(Solved): 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 ...



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

B

is given by the equation

v=\sqrt((B)/(\rho ))

[4]



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