A radio station's channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz (MHz), where 1 MHz = 10° Hz and 1 Hz = 1 s Calculate the broadcast wavelength of the radio station 107.9 FM. Express your answer to four significant figures and include the appropriate units. • View Available Hint(s) HA ?

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Chapter6: The Structure Of Atoms
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Learning Goal:
Several properties are used to define waves. Every wave has a
wavelength, which is the distance from peak to peak or trough to
trough. Wavelength, typically given the symbol A (lowercase Greek
"lambda"), is usually measured in meters. Every wave also has a
frequency, which is the number of wavelengths that pass a certain
point during a given period of time. Frequency, given the symbol v
(lowercase Greek "nu"), is usually measured in inverse seconds
(s). Hertz (Hz), another unit of frequency, is equivalent to inverse
seconds.
The product of wavelength and frequency is the speed in meters
per second (m/s). For light waves, the speed is constant. The
speed of light is symbolized by the letter c and is always equal to
2.998 x 10° m/s in a vacuum, that is,
c = \v = 2.998 x 10° m/s
Another term for "light" is electromagnetic radiation, which
encompasses not only visible light but also gamma rays, X-rays, UV
rays, infrared rays, microwaves, and radio waves. As you could
probably guess, these different kinds of radiation are associated
with different energy regimes. Gamma rays have the greatest
energy, whereas radio waves have the least energy. The energy
(measured in joules) of a photon for a particular kind of light wave is
equal to its frequency times a constant called Planck's constant,
symbolized h :
Ephoton = hv
where
h 6.626 x 10 34 J.s
These two equations can be combined to give an equation that
relates energy to wavelength:
E
hc
Transcribed Image Text:Learning Goal: Several properties are used to define waves. Every wave has a wavelength, which is the distance from peak to peak or trough to trough. Wavelength, typically given the symbol A (lowercase Greek "lambda"), is usually measured in meters. Every wave also has a frequency, which is the number of wavelengths that pass a certain point during a given period of time. Frequency, given the symbol v (lowercase Greek "nu"), is usually measured in inverse seconds (s). Hertz (Hz), another unit of frequency, is equivalent to inverse seconds. The product of wavelength and frequency is the speed in meters per second (m/s). For light waves, the speed is constant. The speed of light is symbolized by the letter c and is always equal to 2.998 x 10° m/s in a vacuum, that is, c = \v = 2.998 x 10° m/s Another term for "light" is electromagnetic radiation, which encompasses not only visible light but also gamma rays, X-rays, UV rays, infrared rays, microwaves, and radio waves. As you could probably guess, these different kinds of radiation are associated with different energy regimes. Gamma rays have the greatest energy, whereas radio waves have the least energy. The energy (measured in joules) of a photon for a particular kind of light wave is equal to its frequency times a constant called Planck's constant, symbolized h : Ephoton = hv where h 6.626 x 10 34 J.s These two equations can be combined to give an equation that relates energy to wavelength: E hc
Part A
A radio station's channel, such as 100.7 FM or 92.3 EM, is actually its frequency in megahertz (MHz), where 1 MHz = 10° Hz and 1 Hz = 1s1
Calculate the broadcast wavelength of the radio station 107.9 FM.
Express your answer to four significant figures and include the appropriate units.
> View Available Hint(s)
µA
?
Value
Units
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Transcribed Image Text:Part A A radio station's channel, such as 100.7 FM or 92.3 EM, is actually its frequency in megahertz (MHz), where 1 MHz = 10° Hz and 1 Hz = 1s1 Calculate the broadcast wavelength of the radio station 107.9 FM. Express your answer to four significant figures and include the appropriate units. > View Available Hint(s) µA ? Value Units Submit Previous Answers X Incorrect; Try Again; 2 attempts remaining
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