Multiple Choice
If the frequency of electromagnetic radiation is 1.22 x 10^15 Hz, what is the wavelength of this radiation?
9. Quantum Mechanics
Wavelength and Frequency
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Which energy wave would have the highest frequency from the wavelengths provided?
A
Wave A (453 nm)
B
Wave B (707 nm)
C
Wave C (325 nm)
D
Wave D (910 nm)
Verified step by step guidance1
Understand the relationship between wavelength and frequency: The frequency of a wave is inversely proportional to its wavelength. This means that as the wavelength decreases, the frequency increases.
Use the formula that relates wavelength and frequency: \( c = \lambda \nu \), where \( c \) is the speed of light (approximately \( 3.00 \times 10^8 \) m/s), \( \lambda \) is the wavelength, and \( \nu \) is the frequency.
Convert the given wavelengths from nanometers to meters: Since 1 nm = \( 1 \times 10^{-9} \) m, convert each wavelength to meters. For example, Wave A (453 nm) becomes \( 453 \times 10^{-9} \) m.
Calculate the frequency for each wave using the formula \( \nu = \frac{c}{\lambda} \). Substitute the converted wavelength values into the formula to find the frequency for each wave.
Compare the calculated frequencies: The wave with the highest frequency will have the smallest wavelength. Based on the calculations, identify which wave has the highest frequency.
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