High School

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Using the equation [tex]v = \lambda f[/tex], where [tex]v[/tex] is the speed of sound through air (340 m/s) and [tex]f[/tex] is the frequency (Hz), find the wavelength [tex]\lambda[/tex] for each fork. Show all calculations.

Options:
a) 85 m
b) 170 m
c) 255 m
d) 340 m

Answer :

Final answer:

To find the wavelength, rearrange the equation v = lf to solve for wavelength (lambda), then substitute the given values to calculate the wavelengths of each fork.

Explanation:

To find the wavelength, we need to rearrange the equation v = lf to solve for wavelength (lambda). We can use the formula:

lambda = v / f

where v is the speed of sound through air (340 m/s) and f is the frequency (Hz).

Using the given values:

  1. a) 85 m: lambda = 340 m/s / 85 Hz = 4 m
  2. b) 170 m: lambda = 340 m/s / 170 Hz = 2 m
  3. c) 255 m: lambda = 340 m/s / 255 Hz = 1.333 m
  4. d) 340 m: lambda = 340 m/s / 340 Hz = 1 m

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