Answer:
[tex]f= 5.11 * 10^{10}Hz[/tex]
Explanation:
Given
[tex]\lambda = 0.587cm[/tex]
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Required
Calculate the frequency
Frequency is calculated using:
[tex]f = \frac{c}{\lambda}[/tex]
Where
[tex]c \to[/tex] speed of light
[tex]c =299792458 ms^{-1}[/tex]
[tex]\lambda = 0.587cm[/tex]
Convert wave length to meters
[tex]\lambda = 0.587 * 0.01m[/tex]
[tex]\lambda = 0.00587m[/tex]
So, we have:
[tex]f = \frac{c}{\lambda}[/tex]
[tex]f=\frac{299792458 ms^{-1}}{0.00587m}[/tex]
[tex]f=\frac{299792458}{0.00587}Hz[/tex]
[tex]f= 5.11 * 10^{10}Hz[/tex]