Wavelength, Frequency & Energy of Electromagnetic Radiation

Name: ______

/ Wavelength, Frequency & Energy of Electromagnetic Radiation
Equations & constants
c = 3.0 x 108 m/s
h = 6.626 x 10-34 Js
c =νl
E = h ν

These homework problems will help you test your own knowledge of the material above. They get increasingly harder. Show all work!

Level 1

1) What is the frequency in hertz of blue light having a wavelength of 425 nm?

2) FM radio dials are calibrated in frequency. In Philadelphia, the radio station B 101 broadcasts its FM signal at a frequency of 101.1 megahertz (MHz). What is the wavelength of this signal in meters?

3) Sodium vapor lamps are often used in residential street lighting. They give off a yellow light having a frequency of 5.09 X 1014 Hz. What is the wavelength of this signal in nanometers?

4) AM radio dials are calibrated in frequency. A certain AM Philly radio station broadcasts at a frequency of 1210 kHz. What is the wavelength of these radio-waves expressed in meters?

5) Ozone protects the earth's inhabitants from the harmful effects of ultraviolet light arriving from the sun. This shielding is a maximum for UV light having a wavelength of 295 nm. What is the frequency in hertz of this particular wavelength of UV light?

6) A wave oscillates with a frequency of 9.05 x 1015 Hz. What is the energy (in J) associated with this wave?

7) It requires a photon with a minimum energy of 4.41 x 10-19J to emit electrons from sodium metal. What is the minimum frequency of light necessary to emit electrons (In Hz)?

Level 2

8) One type of sunburn occurs on exposure to UV light of wavelength 325nm. What is the energy of a photon of this wavelength?

9a) What wavelength (in nm) of radiation has photons of energy 2.87 x 10-18J?

9b) In what portion of the electromagnetic spectrum would this radiation be found?

Level 3

10) Calculate the energy of a photon from an FM radio station at a frequency of 101.1 MHz.

11) Sun tan lotion does the job of protecting us from UV-B waves that have a wavelength of approximately 280nm. What is the frequency and energy associated with those waves?