Answer:
[tex]f = 0.01Hz[/tex]
Explanation:
Given
[tex]Wavelength = 3 * 10^{10}m[/tex]
Required
Determine the frequency of the light waves
Frequency is calculated using:
[tex]c = fL[/tex]
Where
c = speed of light
and
[tex]c = 2.998 * 10^8 m/s[/tex]
Make f the subject in:
[tex]c = fL[/tex]
[tex]f = \frac{c}{L}[/tex]
Substitute values for c and L
[tex]f = \frac{2.998 * 10^8}{3*10^{10}}[/tex]
Apply law of indices
[tex]f = \frac{2.998 * 10^{8-10}}{3}[/tex]
[tex]f = \frac{2.998}{3} * 10^{-2}[/tex]
[tex]f = 0.9993 * 10^{-2}[/tex]
Approximate
[tex]f = 1 * 10^{-2}[/tex]
[tex]f = 10^{-2}Hz[/tex]
or
[tex]f = 0.01Hz[/tex]
