A radio station\'s channel, such as 100.7 FM or 92.3 FM, is actually its frequen
ID: 549067 • Letter: A
Question
A radio station's channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz ( MHz), where 1 MHz 106 Hz and 1 Hz 1s1 Calculate the broadcast wavelength of the radio station 105.5 FM Express your answer to four significant figures and include the appropriate units. Green light has a frequency of about 6.00 × 1014 s. What is the energy of a photon of green light? Express your answer to three significant figures and include the appropriate units. Hospital X-ray generators emit X-rays with wavelength of about 15.0 nanometers (nm), where 1 nm 10-9 m. What is the energy of a photon of the X-rays? Express your answer to three significant figures and include the appropriate units.Explanation / Answer
A)
frequency = 105.5 FM = 105.5*10^6 Hz = 1.055*10^8 s-1
we have below equation to be used:
wavelength = speed of light/frequency
=(3.0*10^8 m/s)/(1.055*10^8 s-1)
= 2.844 m
Answer: 2.844 m
B)
we have below equation to be used:
Energy = Planck constant*frequency
=(6.626*10^-34 J.s)*(6*10^14) s-1
= 3.98*10^-19 J
Answer: 3.98*10^-19 J
C)
wavelength = 15.0 nm = 15.0*10^9 m = 1.5*10^-8 m
we have below equation to be used:
Energy = Planck constant*speed of light/wavelength
=(6.626*10^-34 J.s)*(3.0*10^8 m/s)/(1.5*10^-8 m)
= 1.33*10^-17 J
Answer: 1.33*10^-17 J
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