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:

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

Wavelength:

$\boxed{\mathbf{\lambda }\mathbf{=}\frac{\mathbf{v}}{\mathbf{f}}}$

(a)

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