Name _________________________ Period _____ Date __________
Wavelength, Frequency, and Energy
Equations:
c = 
E=h.
h = 6.626 x 10-34 J · s
c =2.9979 x 108 m/s
For full credit, please SHOW ALL WORK on a separate sheet of paper.
1.
Calculate the wavelength of light whose frequency is 8.0 x 1015 Hz.
2. Calculate the frequency of light whose wavelength is 200.0 nm.
3. Calculate the energy of a photon of red light whose wavelength is 6.45 x 10-5 cm.
4. What is the energy of a photon of green light whose frequency is 5.80 x 1014 Hz?
5. What is the wavelength of radiation whose frequency is 1.50 x 1013 Hz?
6. A radio station broadcasts at a frequency of 105.4 MHz. What is the energy of one photon
from this radio station?
7. An excited hydrogen atom emits a light with a frequency of 1.141 x 1014 Hz. What
wavelength and energy correspond to this value?
8. Mercury vapor lamps, used for highway and street lights, produce light corresponding to the
atomic spectrum of mercury. One of the lines in the spectrum is green and has a
wavelength of 546 nm. What is the frequency of this line?
9. A very bright line in the atomic emission spectrum of sodium has a wavelength of 590 nm.
What is the frequency and energy of the photon of this light?
10. Find the energy of a wave with a wavelength of 434.0 nm.
11. A hydrogen lamp emits several lines in the visible region of the spectrum. One of these has
a wavelength of 6.56 x 10-5 cm. What is the frequency of this radiation?
12. Suppose that your favorite AM radio station broadcasts at a frequency of 1150 kHz. What
is the wavelength in cm of the radiation from the station?
13. What are the frequency and energy of a red light with wavelength of 700. nm?
14. What are the frequency and energy of a blue light with a wavelength of 400. nm?
15. What are the frequency and energy of an X-ray with a wavelength of 1.40 x 10-10 m?
16. A certain violet light has a wavelength of 413 nm. What is the frequency of the light?
17. A certain green light has a frequency of 6.26 x 1014 Hz. What is the wavelength of this
light?
18. Radio station WCBS in New York City broadcasts their FM signal at a frequency of
101.1 MHz.Their AM signal is broadcast at 880 kHz. What are the wavelengths of these
9+ signals expressed in meters?
19. What is the energy of a quantum of light of frequency 4.31 x 1014 Hz?
20. With what frequency does a quantum of light with 3.84 x 10-9 J of energy vibrate?
21. When white light is viewed through sodium vapor in a spectroscope, the spectrum is
continuous except for a dark line at 589 nm where sodium electrons absorb energy.
What is the amount of energy absorbed at this wavelength?
22.The photoelectric effect consists of the emission of e- from the surface of a metal when the
metal is irradiated by light. It requires a photon with a minimum of 7.72 x 10-19 J o eject an efrom the surface of gold. What frequency and wavelength of light correspond to this value?