What is the wavelength (in nm) of radiation having a frequency of 3.71 x 10^9 Hz? (The radiation is in the microwave region.)

Question

anonymous · Answer

all EMR travel at the speed of light


the formula is v=wavelength (m) times frequency (hz)     calculate wavelength convert to nm, simple. 

its called the universawl wave eqn btw

anonymous · Answer

I know the 3.71 x 10^9 goes in for the frequency but I understand where the other numbers are plugged in.

anonymous · Answer

you dont understand where the numbers are plugged in?

anonymous · Answer

Yes

anonymous · Answer

And I also struggle with converting.

anonymous · Answer

so the value for the speed of light is always 3.00x10^8 m/s (always in m/s) unless stated

your frequency given is 3.71 x 10^9 Hz (always in Hz)

v is your speed of light =   wavelength X freqeuncy

isolate your wavelength  becomes v/f=w, the plug in your values to obtain wavelength in meters.

since nm is 10^-9 you have to divide by 10^-9 to get nm