Use the worked example above to help you solve this problem. Light of wavelength $501$ nm in vacuum passes through a piece of fused quartz of index of refraction n $=1\mathrm{.}458.$

$($a$)$ Find the speed of light in fused quartz.

m$/$s

$($b$)$ What is the wavelength of this light in fused quartz?

nm

$($c$)$ What is the frequency of the light in fused quartz?

Hz