Multiple Choice
Which of the following sources of electromagnetic radiation will have the highest energy?
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2. Atoms and the Periodic Table
Electromagnetic Spectrum (Simplified)
Multiple Choice
X-Ray detectors are devices that use scintillators to convert X-rays into light in order to detect X-Rays indirectly. Which of the following would be picked up by an X-Ray detector:radiation with a wavelength of 0.85 nm or a frequency of 6.52 x 1011 s-1?
A
radiation with a wavelength of 0.85 nm
B
radiation with a frequency of 6.52 x 1011 s-1
Verified step by step guidance1
Understand the relationship between wavelength, frequency, and the speed of light. The equation that connects these is: \( c = \lambda \cdot f \), where \( c \) is the speed of light (approximately \( 3.00 \times 10^8 \) m/s), \( \lambda \) is the wavelength, and \( f \) is the frequency.
Convert the given wavelength from nanometers to meters. Since 1 nm = \( 1 \times 10^{-9} \) m, a wavelength of 0.85 nm is \( 0.85 \times 10^{-9} \) m.
Calculate the frequency corresponding to the wavelength of 0.85 nm using the formula \( f = \frac{c}{\lambda} \). Substitute \( c = 3.00 \times 10^8 \) m/s and \( \lambda = 0.85 \times 10^{-9} \) m into the equation.
Compare the calculated frequency from the wavelength with the given frequency of \( 6.52 \times 10^{11} \) s\(^{-1}\). Determine which frequency falls within the typical range for X-ray radiation.
Recognize that X-rays typically have wavelengths ranging from 0.01 to 10 nm, which corresponds to frequencies from \( 3 \times 10^{16} \) Hz to \( 3 \times 10^{19} \) Hz. Use this information to identify which of the given options is within the X-ray range.
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