Problem 1: Atomic Structure

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Problem 1 Solution

What is the frequency of infrared radiation that has a wavelength of 1.25 x 10³ nm?

Using the equation:

where:

v = frequency (in units of "per second", or s^-1
c = speed of light at 3.0 x 10⁸ m^-1
= wavelength in units of nanometers (nm)

Solving for frequency, we have the equation:

To ensure that our units match, we must convert the wavelength from nanometers to meters:

1.25 x 10³ nm * (1 x 10^-9 meters / 1 nm) = 1.25 x 10^-6 m

Now, it's just a simple "plug and chug":

v = 3.00 x 10⁸ m s^-1 / 1.25 x 10^-6 m

= 2.40 x 10¹⁴ s^-1 or 2.40 x 10¹⁴ s^-1 hertz (Hz)

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