Answer:- [tex]4.69*10^3Hz[/tex]
Solution:- Wavelength is given and we are asked to calculate the frequency. The equation that correlates frequency with wavelength is:
[tex]\nu =\frac{c}{\lambda }[/tex]
where, [tex]\nu [/tex] is the symbol for frequency, c is the symbol for speed of light and [tex]\lambda [/tex] is the symbol for wavelength.
Speed of light is [tex]3.0*10^8\frac{m}{s}[/tex] and the wavelength is given as [tex]6.40*10^4m[/tex] .
Let's plug in the values in the equation and so the calculations to calculate the frequency:
[tex]\nu =\frac{3.0*10^8(\frac{m}{s})}{6.40*10^4m}[/tex]
[tex]\nu =4.69*10^3Hz[/tex]
(since, [tex]\frac{1}{s}=Hz[/tex] )
So, the frequency of the wave is [tex]4.69*10^3Hz[/tex] .
