PLEASE show step-by-step: The shortest types of light waves are gamma rays and x

Question

PLEASE show step-by-step:

The shortest types of light waves are gamma rays and x-rays. The typical type of x-ray that you would be exposed to when being imaged range between a frequency of and . Using the speed of light, calculate the range of wavelengths x-rays have.

a.How does the length of an x-ray compare to the diameter of a DNA helix?

On the far opposite end of the electromagnetic (light) spectrum we have radio waves. The local radio station MORE 104.1 is named for this because it’s frequency is 104.1 MHz

b. What is the wavelength of this type of light wave?

c. How many orders of magnitude bigger is this type of light wave compared to x-rays used in the medical setting?

d. Do you think that there is any risk of radio waves to do damaging biological tissue? Why or why not?

e. Visible light that we see is located in between 390-710 nm. Is this closer to the wavelength of a radio wave or an x-ray?

f.UV light is just below the wavelength of visible light between 10 and 400 nm. Do you think that there is any risk of UV light to damage biological tissue based on the questions and answers above? Why or why not?

Explanation / Answer

In a typical electromagnetic spectrum, the frequencies of the X-ray range from 3 *10^16 Hz to 3*10^19 Hz.

Using the speed of light, c = 3 * 10^8 m/s

Wavelength, 1 = c/f = 3 * 10^8 /3 *10^16 Hz = 10^-8m = 10 * 10^-9 m = 10nm

Wavelength, 2= c/f = 3 * 10^8 /3 *10^19 Hz = 10^-11m = 0.01 * 10^-9 m = 0.01nm

Hence, X-rays are electromagnetic waves with wavelengths in the range of 0.01 to 10 nanometers,

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