Calculating Frequency & Wavelength of Em Radiation

I. Calculating Frequency & Wavelength of EM radiation

Defining variables

Example:

What is the variable that we use to represent frequency (Hz)? = F (aka υ)

What is the variable that we use to represent wavelength (m) = w

What is the variable that we use to represent?

Speed of Light (m/s) = c

Note: all Electromagnetic Spectrum Waves travel at this same speed

Speed of light is a constant.

How many m/s does light travel?

3.00 x 10^8

Deriving equations

Given the formula ……C = F*W (aka c = υ*λ)

What is the formula for calculating F (aka υ)? F = c/w

What is the formula for calculating W (λ)? W = C/F

Calculating Frequency (F) and Wavelength (W)

Show your work! Use a calculator and do the actual math – don't just leave the answer as a fraction!

Violet light has a wavelength of 4.10 x 10-12 m. What is the frequency?

f=c/w

=3.00 x 10^8/4.10 x 10^12

=0.73 x 10^20

=7.3 x 10^19m

Green light has a frequency of 6.01 x 1014 Hz. What is the wavelength?

f=c/w

=3.00*108/6.01x1014

=0.499*10-6 m

= 4.99*10-7 m

What is the wavelength (in meters) of the electromagnetic carrier wave transmitted by The Sports Fan radio station at a frequency of 640 kHz? (Hint: convert kHz into Hz by multiplying by 103.)

f=6.4x10(3+2) = 6.4x105

w=3.00x108/6.4*105

0.47 x 10(8-5) Hz

=0.47 x103 Hz

= 4.7x102 Hz

Calculate the wavelength of radiation with a frequency of 8.0 x 1014 Hz.

w=C/F

w=c/f

=3.00x108/8.0*1014

=0.375x10(8-14) m

=0.375x10-6 m

=3.75X10-7 m