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Electromagnetic radiation with a maximum wavelength of 540 nm (5.4 x 10^-7 m) is needed for the study of...

Electromagnetic radiation with a maximum wavelength of 540 nm (5.4 x 10^-7 m) is needed for the study of the photoelectric effect in potassium atoms. What is the approximate frequency that corresponds to this wavelength?
A) 1.8 x 10^-15 s^-1
B) 1.6 x 10^2 s^-1
C) 1.9 x 10^6 s^-1
D) 5.6 x 10^14 s^-1

Answer

To find the frequency, use the formula: c = λν, where c is the speed of light (3.0 x 10^8 m/s), λ is the wavelength (5.4 x 10^-7 m), and ν is the frequency.

Rearranging the formula gives: ν = c / λ.

Substitute the values: ν = (3.0 x 10^8 m/s) / (5.4 x 10^-7 m) ≈ 5.56 x 10^14 s^-1.

The closest answer is D) 5.6 x 10^14 s^-1.

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