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# Problem: An unfingered guitar string is 0.73 m long and is tuned to play E above middle C (330 Hz). The finger is placed 0.242 m from the end of this string to play B above middle C  (494 Hz).What are the (a) frequency and (b) wavelength of the sound wave produced in air at 20°C

###### FREE Expert Solution

Speed of sound in the air:

$\overline{){\mathbf{v}}{\mathbf{\approx }}{\mathbf{\left(}}{\mathbf{331}}{\mathbf{+}}{\mathbf{0}}{\mathbf{.}}{\mathbf{60}}{\mathbf{T}}{\mathbf{\right)}}{\mathbf{m}}{\mathbf{/}}{\mathbf{s}}}$

Wavelength:

$\overline{){\mathbf{\lambda }}{\mathbf{=}}\frac{\mathbf{v}}{\mathbf{f}}}$

(a)

At 20°C, the frequency of sound will not change.

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###### Problem Details

An unfingered guitar string is 0.73 m long and is tuned to play E above middle C (330 Hz). The finger is placed 0.242 m from the end of this string to play B above middle C  (494 Hz).
What are the

(a) frequency and

(b) wavelength of the sound wave produced in air at 20°C