Speed, Frequency, Energy and Wavelength Practice Worksheet 1. Sketch a diagram of a wave and label its crest, trough, wavelength and amplitude. 2. In the diagrams below, which wave has the higher frequency? Explain. 3. Order the following regions of the EM spectrum from lowest to highest energy: infrared, microwaves, ultraviolet, visible red, visible green, X-rays. 4. Of the following colors of visible light: green, yellow, red, blue, which has the… highest frequency? ___________ Lowest frequency? ___________ longest wavelength? ___________ Shortest wavelength? ___________ greatest amount of energy? ___________ Least energy? ___________ 5. As wavelength increases, what happens to frequency? ___________ As frequency increases, what happens to wavelength? ___________ Does the speed of light ever change? ___________ 6. In which part of the electromagnetic spectrum would you find these waves? a. 580 nm b. 70 cm c. ____________________________ 0.20 nm d. 20 m ____________________________ ____________________________ ____________________________ e. 0.002 m ____________________________ Use the general wave equation, v = λƒ , Plank’s energy equation, Ep = hƒ, or a combination of the two to solve the following problems. You’ll be expected to use these equations correctly on the upcoming unit test. 1. What is the v if λ = 8 m and ƒ = 20 Hz? 2. What is the λ if v = 50 m/s and ƒ = 25 Hz? 3. What is the ƒ if v = 50 m/s and λ = 10 m? 4. What is the v if λ = 1 m and ƒ = 345 Hz? 5. What is the λ if v = 100 m/s and ƒ = 3 Hz? 6. What is the ƒ if v = 120 m/s and λ = 3 m? 7. What is the v if λ = 3 m and ƒ = 10 Hz? 8. What is the λ if v = 345 m/s and ƒ = 790 Hz? 9. What is the ƒ if v = 345 m/s and λ = .25 m? 10. Joe the whistle maker knows that the maximum volume for a whistle will occur if the length of the whistle is exactly ¼ of the wavelength. If Joe must make a whistle that plays at a pitch of 320 Hz, how long will the whistle be? 11. Using the velocity of sound at 343 m/s and given the frequencies of a piano scale, compute the wavelengths of that scale. Note Frequency C4 Wavelength Note Frequency 261.6 G4 392 D4 293.6 A4 440 E4 329.6 B4 493.9 F4 349.2 C5 523.2 Wavelength 12. 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? 13. Radar signals are also part of the electromagnetic spectrum in the microwave region. A typical radar signal has a wavelength of 3.19 cm. What is the frequency in hertz? 14. FM radio dials are calibrated in frequency. In Montgomery, the radio station HOT 105 broadcasts its FM signal at a frequency of 105.7 megahertz (MHz). What is the wavelength of this signal in meters? 15. Find the energy, in joules per photon, of microwave radiation with a frequency of 7.91 × 1010 Hz 16. Find the energy in kJ for an x-ray photon with a frequency of 2.4 × 1018 s-1. 17. What is the frequency of UV light that has an energy of 2.39 × 10-18 J? 18. Ultraviolet radiation has a frequency of 6.8 × 1015 Hz. Calculate the energy, in joules, of the photon. 19. A sodium vapor lamp emits light photons with a wavelength of 5.89 × 10-7 m. What is the energy of these photons? 20. One of the electron transitions in a hydrogen atom produces infrared light with a wavelength of 746.4 nm. What amount of energy causes this transition? 21. A ruby laser produces red light that has a wavelength of 500 nm. Calculate its energy in joules. 22. What is the wavelength of a light that has a frequency of 3.42 x 1011 Hz?