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Calculate the frequency of light with a wavelength of 360 nm. Type your answer in the numeric part to the nearest THz.

For example, if your answer is [tex]f = 8.87 \times 10^{14} \text{ Hz}[/tex], then type 887.

Answer :

The frequency of light with a wavelength of 360 nm is 833 THz, calculated by dividing the speed of light (3 x 10^8 m/s) by the wavelength after converting it to meters (360 nm = 360 x 10^-9 m).

To calculate the frequency of light with a wavelength of 360 nm, we can use the formula for the speed of light, [tex]c = \ u \lambda[/tex], where u represents the frequency, c is the speed of light ([tex]3 \times 10^8 m/s[/tex]), and [tex]\lambda[/tex] is the wavelength.

By rearranging the equation to solve for frequency [tex]\nu = c / \lambda[/tex], we can find that: [tex]u = {3 * 10^8 m/s}/{360 nm * {m}/{10^9 nm[/tex]

This gives us a frequency of: [tex]\ u = \dfrac{3 \times 10^8 m/s}{360 \times 10^-9 m}[/tex]

That simplifies to: [tex]\ u = 8.33 \times 10^14 Hz[/tex]

However, if we want the answer in terahertz (THz), we need to convert hertz to terahertz by dividing by 10^12: [tex]\ u = 833 THz[/tex]

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