A standing wave with n=7 in a pipe 0.50 m in length and filled with air has a top open to the air and the bottom closed? I want to calculate the frequency created by this standing wave assuming the air is at room temperature. How can I do this?

Solution

λ = c / f = wave speed

Wave length=7

Height=0.50m

Convert the wavelength to meters before using λν = c

=7.00 x 10^{8} m ¯^{1}

Applying the formula, λ = c / f, where by c=height,

Wavelength==7.00 x 10^{8} m ¯^{1}

F= λ /c=7.00 x 10^{8} m ¯^{1 }/0.5

Answer,F=14 x10^{8 }Hz.

...............Thank and good luck........

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