Violet light has a wavelength of [tex]4.10 \times 10^{-12} \text{ m}[/tex]. What is the frequency?

Frequency of any wave = (the wave's speed) divided by (its wavelength)
Speed of light = about (3 x 10 to the 8) meters per second, in vacuum.
Frequency = (3 x 10 to the 8) / (4.1 x 10 to the -12) = 7.317 x 10 to the 19 Hz .
That's the same as 73,170,000,000 GHz.
Note: That's the answer for the information given in the question, but the information in the question is incorrect by 5 orders of magnitude. The wavelength of violet light, or anything in the visible range, is a few hundred 'nanometers' ... a few hundreds of 10 to the -9 . So the number in the question should be 4.10 x 10 to the -7, not -12, and the frequency should be 731,700 GHz.

Answered by AL2006 | 2024-06-10

The student's question relates to determining the frequency of violet light given its wavelength. To calculate the frequency (f), the speed of light equation c = λf is used, where c is the speed of light in a vacuum (approximately 3.0 x 10⁸ m/s), and λ is the wavelength. Given the wavelength of violet light as 4.10 x 10⁻¹² m, the frequency is calculated by rearranging the equation to f = c/λ, which results in a frequency of 7.31 x 10¹⁹ Hz.

Answered by Qwlizard | 2024-06-24

To find the frequency of violet light with a wavelength of 4.10 × 1 0 − 12 m , we use the formula f = λ v ​ . This calculates the frequency to be approximately 7.32 × 1 0 19 Hz , highlighting a discrepancy as violet light should have a wavelength around 380 to 450 nm. Therefore, this wavelength is much shorter and indicates gamma rays, not visible light.
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Answered by AL2006 | 2024-10-09