Frequency of sound wave in air

[Amith2006]

Sir,
Velocity of sound waves in air is 330 m/sec. For a particular sound in air a path difference of 40 cm is equivalent to a phase difference of 1.6 pi. What is the frequency of this wave?
I solved it in the following way:
Let d(phi) = phase difference, dy = path difference
Here d(phi) = 1.6 pi, dy = 0.4 m, lamda = wavelength
d(phi) = [2(pi)/lamda] x dy
Solving I get,
Lamda = 0.5 metre
Frequency = v/lamda
= 660 Hz
Is it right?

 

[Hootenanny]

Sir,
Velocity of sound waves in air is 330 m/sec. For a particular sound in air a path difference of 40 cm is equivalent to a phase difference of 1.6 pi. What is the frequency of this wave?
I solved it in the following way:
Let d(phi) = phase difference, dy = path difference
Here d(phi) = 1.6 pi, dy = 0.4 m, lamda = wavelength
d(phi) = [2(pi)/lamda] x dy
Solving I get,
Lamda = 0.5 metre
Frequency = v/lamda
= 660 Hz
Is it right?

Looks good to me.

~H