Question $3(20$ points$)$

A string with is suspended between two supports $1\mathrm{.}6$ m apart. The velocity of a wave on the string is $\backslash (53\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The string is then vibrated such that the $\backslash (5^\{\backslash$text $\{$th $\}\}\backslash )$ harmonic $($also known as the $4$th overtone$)$ is produced.

a$)$ The wavelength of that standing wave is

A

m$.$

$($enter your answer to two significant figures$)$

b$)$ the frequency of this standing wave is

A

Hz$.$

$($enter your answer to three significant figures$)$

c$)$ The fundamental frequency for this string is

A

Hz$.$

$($enter your answer to three significant figures$)$