Part A A radio stations channel such as 1007 FM or 923 FM is

Part A A radio station\'s channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz (MHz), where 1MHz=106Hz. Calculate the broadcast wavelength of the radio station 96.90 FM. Express your answer in meters to four significant figures. View Available Hint(s) = m Part B Green light has a frequency of about 6.00×1014s1. What is the energy of a photon of green light? Express your answer in joules. View Available Hint(s) E = J Part C Hospital X-ray generators emit X rays with wavelength of about 15.0 nanometers (nm), where 1nm=109m. What is the energy of a photon in an X ray? Express your answer in joules. View Available Hint(s) E = J

Solution

Part A:

Given 1MHz = 106 Hz

96.9 MHz = 96.9×106 Hz = 10271.4 Hz= c/frequency

= (3×10⁸/10271.4 )m

= 29207.3 m

Part B:

Energy of green light = h× frequency

= 6.62×10^-34 J-s × 6.00×1014 s^-1

= 4.027×10^-30 J

Part C :

Energy of photon = hc/wavelength

= ( 6.62×10^-34J-s × 3×10⁸m/s) / 15×10^-9m

= 1.32×10^-17 J