Answer
given,
difference between the two consecutive maximum
λ = 0.870 - 0.540
λ = 0.33 m
speed of sound = 340 m/s
b) frequency of the sound
v = f x λ
340 = f x 0.33
[tex]f =\dfrac{340}{0.33}[/tex]
f = 1030.3 Hz
a) phase difference
the expression of phase difference is given by
[tex]\phi = \dfrac{2\pi}{\lambda}\ \delta[/tex]
[tex]\delta = \Delta x - \lambda[/tex]
[tex]\delta = 0.540 - 0.33[/tex]
[tex]\delta = 0.21\ m[/tex]
now,
[tex]\phi = \dfrac{2\pi}{\lambda}\ \times 0.21[/tex]
[tex]\phi = \dfrac{2\pi}{0.33}\ \times 0.21[/tex]
[tex]\phi = 3.99 rad[/tex]
