Sunlight is composed of wavelengths of light that make up part of the electromagnetic spectrum. Towson University Exam Question. The frequency of a wave is directly proportional to the speed at which the wave is traveling. Do NOT Copy! Calculate the frequency (in Hz) of light at the following wavelength:

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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]

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