Part A A radio station\'s channel, such as 100.7 FM or 92.3 FM, is actually its

Question

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 and 1Hz=1s1. Calculate the broadcast wavelength of the radio station 99.10 FM. Express your answer to four significant figures and include the appropriate units.    =      

Part B Green light has a frequency of about 6.00×1014s1. What is the energy of green light? Express your answer to three significant figures and include the appropriate units. E =

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 the X-rays? Express your answer to three significant figures and include the appropriate units.    

Explanation / Answer

A. 99.10 FM= 99.10 MHz= 99.10*10^6 Hz

speed of light, c= 3*10^8 m/s

wavelength= c/f = 3*10^8/ 99.1*10^6 = 3.027 m

B. Energy= hf

where h=Planck constant= 6.6*10^-34

E= 6.6*10^-34 * 6.0*10^14 = 3.96*10^-19 J

C. Energy= hc/wavelength

E= 6.6*10^-34*3*10^8 / 15*10^-9 = 1.32*10^-17 J

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