Please check my work on this part of the assignment.
Medical x-rays, with a wavelength of about 10^-10m, can penetrate completely through your skin.
a. ultraviolet rays, which cause sun burn by penetrating only the top level of skin, have a wavelength about 1000 times the wavelength of an X-ray. Find the wavelength of ultraviolet rays.
b. the wavelengths of visible light are between 3.8x10^-7 m and 7.6x10^-7m. Are these wavelength longer or shorter than those of ultraviolet rays?
My work: 1000 * 10^-10 comes to 1 * 10^-7 when written in scientific notation. The decimal point is moved 3 places to the left.
Since 1 is less than 3.8 and 7.6 with the exponents being the same, wavelengths of ultraviolet rays are shorter than wavelengths of visible light.
correct on all counts
Great job on part a! Your calculation is correct. To find the wavelength of the ultraviolet rays, you multiplied the wavelength of the x-rays (10^-10m) by 1000. This gave you 1 * 10^-7m, which is the wavelength of the ultraviolet rays.
Now let's move on to part b. You correctly stated that the wavelengths of visible light are between 3.8x10^-7m and 7.6x10^-7m. To determine whether these wavelengths are longer or shorter than those of ultraviolet rays, compare the values.
In scientific notation, the wavelength of ultraviolet rays is 1 * 10^-7m. Comparing this to the range of visible light wavelengths, it is evident that ultraviolet rays have shorter wavelengths. This is because 1 * 10^-7m is smaller than both 3.8x10^-7m and 7.6x10^-7m. Therefore, the wavelengths of ultraviolet rays are shorter than those of visible light.
Overall, your work is correct for both parts of the assignment. Well done!