1)Put the types of radiation of the electromagnetic spectrum in order from:

a)longest to shortest wavelength
b)greatest to lowest energy
c)slowest to fastest speed

A)radio,microwave,infrared,light,x-rays,gamma rays

B)gamma-rays,infrared,light,microwave,radio

I couldn't find C. I got this from wiki,my book and another site

2)Put the following colors in order of smallest to largest frequency: blue,orange,green. Explain that logic for your order.

blue,green,orange don't understand this from a site:

"When a beam of white light (sunlight) is passed through a PRISM, as shown in figure 1-18, it is refracted and dispersed (the phenomenon is known as DISPERSION) into its component wavelengths. Each of these wavelengths causes a different reaction of the eye, which sees the various colors that compose the visible spectrum. The visible spectrum is recorded as a mixture of red, orange, yellow, green, blue, indigo, and violet. White light results when the PRIMARIES (red, green, and blue) are mixed"

1a is ok.

1b is ok.
1c. Isn't ALL electromagnetic radiation the speed, c, = 3 x 10^8 m/s.

2.The wavelengths of visible light are, in order of WAVELENGTH, longest wavelength is red and shortest wavelength is violet. This is also the order of lowest frequency to highest frequency.
red
orange
yellow
green
blue
violet
You can remember this very well with a mnemonic my physics prof taught me 60 years ago (if we include indigo as a color).
red
orange
yellow
green
blue
indigo
violet.
The first letters spell a man's name. His name is Roy G. Biv. :-)

1c)no that's the speed of light. to find the speed or whatever I would have to use this

v=f*w for each and put them in order from slow to fast

ok without the work, if A is correct then wouldnt it be the reverse for C? since the wavelength of A is from large to small then the smallest would then generate the lowest speed b/c v=frequency*wavelength? That REALLY makes since to me.

It doesn't make sense to me.

velocity (of light--no matter the color) = 3 x 10^8 m/s.
c = f*w. That's how you calculated frequency and wavelength. For long w, the f must be short. For short w, then f must be high because f*w=c, a constant. Scroll down on the site below to History, and read through that and/or go to www.google.com and type in color of violet light and look at some of the hits you will get. The speed of light is not the same in air or glass or water as it is in a vacuum but it is the same within a medium.
http://en.wikipedia.org/wiki/Visible_spectrum

ok I understand why I did it wrong thank you

I am confused too

1) To put the types of radiation of the electromagnetic spectrum in order from longest to shortest wavelength, greatest to lowest energy, and slowest to fastest speed, you can use the following guidelines:

a) Longest to shortest wavelength:
- The electromagnetic spectrum spans a range of wavelengths, from extremely long radio waves to incredibly short gamma-rays.
- In this spectrum, radio waves have the longest wavelengths, followed by microwaves, infrared, visible light, ultraviolet, X-rays, and finally, gamma rays.
- Specifically, the order would be: radio, microwave, infrared, light, X-rays, gamma rays.

b) Greatest to lowest energy:
- The energy of electromagnetic radiation is inversely related to its wavelength. This means that shorter wavelengths have higher energy, while longer wavelengths have lower energy.
- Gamma-rays have the highest energy, followed by X-rays, ultraviolet, visible light, infrared, microwaves, and finally, radio waves.
- Specifically, the order would be: gamma rays, X-rays, ultraviolet, visible light, infrared, microwaves, radio waves.

c) Slowest to fastest speed:
- All forms of electromagnetic radiation travel at the speed of light in a vacuum, which is approximately 299,792,458 meters per second (or about 186,282 miles per second).
- Hence, the speed of all types of radiation in the electromagnetic spectrum is essentially the same, so no specific order can be determined based on speed.

Regarding the second question:

2) The colors can be ordered from smallest to largest frequency based on their position in the visible spectrum.
- The visible spectrum is the range of electromagnetic radiation that our eyes can perceive as different colors, typically ranging from red to violet.
- Red light has the longest wavelength (and the lowest frequency) among the visible colors, while violet light has the shortest wavelength (and the highest frequency).
- The order of the colors from smallest to largest frequency would be: orange, green, blue.

I hope this explanation helps clarify the logic and reasoning behind the order of both questions.