1. Ultraviolet radiation has a frequency of 6.8times 10^15Hz Calculate the energy, in joules, of the photon. 2. Find the energy,in joules per photon.of microwave radiation with a frequency of 7.91times 10^10Hz 3. A sodium vapor lamp emits light photons with a wavelength of 5.89times 10^-7m . What is the energy of these photons? 4. 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? 5. Find the energy in kJ for an x-ray photon with a frequency of 2.4times 10^18s^-1 6. A ruby laser produces red light that has a wavelength of 500 nm. Calculate its energy in joules. 7. What is the frequency of UV light that has an energy of 2.39times 10^-18 8. What is the wavelength and frequency of photons with an energy of 1.4times 10^-21J 9. What is the energy of a light that has 434 nm? 10. What is the wavelength of a light that has a frequency of 3.42times 10^11 Hz?

1. The energy of a photon can be calculated using the formula E = hf, where h is Planck's constant (6.63 x 10^-34 J.s) and f is the frequency of the photon. So, E = (6.63 x 10^-34 J.s) x (6.8 x 10^15 Hz) = 4.52 x 10^-18 J.<br /><br />2. Using the same formula as in question 1, E = (6.63 x 10^-34 J.s) x (7.91 x 10^10 Hz) = 5.26 x 10^-23 J.<br /><br />3. The energy of a photon can also be calculated using the formula E = hc/λ, where h is Planck's constant, c is the speed of light (3 x 10^8 m/s), and λ is the wavelength of the photon. So, E = (6.63 x 10^-34 J.s) x (3 x 10^8 m/s) / (5.89 x 10^-7 m) = 3.36 x 10^-19 J.<br /><br />4. Using the same formula as in question 3, E = (6.63 x 10^-34 J.s) x (3 x 10^8 m/s) / (746.4 x 10^-9 m) = 2.65 x 10^-20 J.<br /><br />5. Using the formula E = hf, E = (6.63 x 10^-34 J.s) x (2.4 x 10^18 s^-1) = 1.59 x 10^-15 J = 1.59 x 10^-12 kJ.<br /><br />6. Using the formula E = hc/λ, E = (6.63 x 10^-34 J.s) x (3 x 10^8 m/s) / (500 x 10^-9 m) = 3.97 x 10^-19 J.<br /><br />7. Using the formula f = E/h, f = (2.39 x 10^-18 J) / (6.63 x 10^-34 J.s) = 3.61 x 10^15 Hz.<br /><br />8. Using the formulas λ = hc/E and f = E/h, λ = (6.63 x 10^-34 J.s) x (3 x 10^8 m/s) / (1.4 x 10^-21 J) = 1.48 x 10^-6 m = 148 nm, f = (1.4 x 10^-21 J) / (6.63 x 10^-34 J.s) = 2.11 x 10^12 Hz.<br /><br />9. Using the formula E = hc/λ, E = (6.63 x 10^-34 J.s) x (3 x 10^8 m/s) / (434 x 10^-9 m) = 4.56 x 10^-19 J.<br /><br />10. Using the formula λ = c/f, λ = (3 x 10^8 m/s) / (3.42 x 10^11 Hz) = 8.78 x 10^-7 m = 878 nm.