What is the frequency of radiation that has a wavelength of 13 \mu m, about the size of a bacterium?

What is the frequency of radiation that has a wavelength of 12um about the size of a bacterium

From your symbolism I can't tell what the wavelength is; however, you want

c = frequency(in Hz) x wavelength(in meters). C is the speed of light = 3E8 m/s

To calculate the frequency of radiation, you can use the formula:

frequency = speed of light / wavelength

where the speed of light is approximately 3 x 10^8 meters per second.

First, convert the wavelength from micrometers (µm) to meters:
13 µm = 13 x 10^(-6) meters

Next, plug in the values into the formula:
frequency = (3 x 10^8 m/s) / (13 x 10^(-6) m)

Simplify the expression:
frequency = (3 x 10^8) / (13 x 10^(-6)) Hz

To simplify further, divide the numerator and denominator by (13 x 10^(-6)):
frequency ≈ 23 x 10^(14) Hz

Therefore, the frequency of radiation with a wavelength of 13 µm is approximately 23 x 10^(14) Hz.

To find the frequency of radiation with a given wavelength, you can use the equation:

frequency = (speed of light) / (wavelength)

The speed of light is a constant value, approximately 3.00 x 10^8 meters per second. However, the given wavelength is in micrometers (μm), so we need to convert it to meters before using it in the equation.

To convert micrometers to meters, we divide by 1,000,000 (since there are 1,000,000 micrometers in a meter).

Converting the given wavelength of 13 μm to meters, we get:

13 μm = 13 x 10^-6 meters

Now we can substitute the values into the equation to calculate the frequency:

frequency = (3.00 x 10^8 meters per second) / (13 x 10^-6 meters)

Simplifying the equation:

frequency = (3.00 x 10^8) / (13 x 10^-6) Hz
= (3.00 x 10^8) x (10^6 / 13) Hz
≈ 23.1 x 10^12 Hz
= 23.1 THz (Terahertz)

Therefore, the frequency of radiation with a wavelength of 13 μm is approximately 23.1 THz.