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Part A 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 =1s-1 Calculate the broadcast wavelength of the radio station 96.50 FM. Express your answer to four significant figures and include the appropriate units. > View Available Hint(s) X= 3.107 m Previous Answers v Correct Part B Green light has a frequency of about 6.00 x 1014 s What is the energy of a photon of green light? Express your answer to three significant figures and include the appropriate units. > View Available Hint(s) ? E E (photon} = Value Units Submit Previous Answers X Incorrect; Try Again; 5 attempts remaining Part C Hospital X-ray generators emit X-rays with wavelength of about 15.0 nanometers (nm), where 1 nm = 10 m What is the energy of a photon of the X-rays? Express your answer to three significant figures and include the appropriate units. > View Available Hint(s) HA Ephotu_(photon)= Value Units Submit

Part A 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 =1s-1 Calculate the broadcast wavelength of the radio station 96.50 FM. Express your answer to four significant figures and include the appropriate units. > View Available Hint(s) X= 3.107 m Previous Answers v Correct Part B Green light has a frequency of about 6.00 x 1014 s What is the energy of a photon of green light? Express your answer to three significant figures and include the appropriate units. > View Available Hint(s) ? E E (photon} = Value Units Submit Previous Answers X Incorrect; Try Again; 5 attempts remaining Part C Hospital X-ray generators emit X-rays with wavelength of about 15.0 nanometers (nm), where 1 nm = 10 m What is the energy of a photon of the X-rays? Express your answer to three significant figures and include the appropriate units. > View Available Hint(s) HA Ephotu_(photon)= Value Units Submit

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Learning Goal:** To understand electromagnetic radiation and be able to perform calculations involving wavelength, frequency, and energy. 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 λ (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 ν (lowercase Greek "nu"), is usually measured in inverse seconds (s⁻¹). 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 10⁸ m/s in a vacuum; that is, \[ c = λν = 2.998 \times 10^8 \, \text{m/s} \] 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: \[ E_{\text{photon}} = hν \] where \[ h = 6.626 \times 10^{-34} \, \text{J} \cdot \text{s} \] These two equations can be combined to give an equation that relates energy to wavelength: \[ E = \dfrac{hc}{λ} \]
Transcribed Image Text:**Learning Goal:** To understand electromagnetic radiation and be able to perform calculations involving wavelength, frequency, and energy. 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 λ (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 ν (lowercase Greek "nu"), is usually measured in inverse seconds (s⁻¹). 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 10⁸ m/s in a vacuum; that is, \[ c = λν = 2.998 \times 10^8 \, \text{m/s} \] 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: \[ E_{\text{photon}} = hν \] where \[ h = 6.626 \times 10^{-34} \, \text{J} \cdot \text{s} \] These two equations can be combined to give an equation that relates energy to wavelength: \[ E = \dfrac{hc}{λ} \]
**Educational Website Content Transcription** ### Part A A radio station's channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz (MHz), where 1 MHz = \(10^6\) Hz and 1 Hz = \(1 \, \text{s}^{-1}\). Calculate the broadcast wavelength of the radio station 96.50 FM. **Express your answer to four significant figures and include the appropriate units.** - **View Available Hint(s)** - \(\lambda = 3.107 \, \text{m}\) - **Correct** ### Part B Green light has a frequency of about \(6.00 \times 10^{14} \, \text{s}^{-1}\). What is the energy of a photon of green light? **Express your answer to three significant figures and include the appropriate units.** - **View Available Hint(s)** \[ E_{\text{photon}} = \text{Value} \, \text{Units} \] - **Submit** - **Previous Answers** - **Incorrect; Try Again; 5 attempts remaining** ### Part C Hospital X-ray generators emit X-rays with wavelengths 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.** - **View Available Hint(s)** \[ E_{\text{photon}} = \text{Value} \, \text{Units} \] - **Submit**
Transcribed Image Text:**Educational Website Content Transcription** ### Part A A radio station's channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz (MHz), where 1 MHz = \(10^6\) Hz and 1 Hz = \(1 \, \text{s}^{-1}\). Calculate the broadcast wavelength of the radio station 96.50 FM. **Express your answer to four significant figures and include the appropriate units.** - **View Available Hint(s)** - \(\lambda = 3.107 \, \text{m}\) - **Correct** ### Part B Green light has a frequency of about \(6.00 \times 10^{14} \, \text{s}^{-1}\). What is the energy of a photon of green light? **Express your answer to three significant figures and include the appropriate units.** - **View Available Hint(s)** \[ E_{\text{photon}} = \text{Value} \, \text{Units} \] - **Submit** - **Previous Answers** - **Incorrect; Try Again; 5 attempts remaining** ### Part C Hospital X-ray generators emit X-rays with wavelengths 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.** - **View Available Hint(s)** \[ E_{\text{photon}} = \text{Value} \, \text{Units} \] - **Submit**
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