객관식
Which of the following statements correctly describes the relationship between the wavelength and frequency of electromagnetic radiation?
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9. Quantum Mechanics
Wavelength and Frequency
객관식
Which equation allows you to calculate the wavelength of electromagnetic radiation if you know only its frequency?
A
c = λν
B
ν = λ / c
C
λ = h / p
D
E = hν
검증된 단계별 안내1
Recall the fundamental relationship between the speed of light (c), wavelength (\(\lambda\)), and frequency (\(\nu\)) of electromagnetic radiation, which is given by the equation: \(c = \lambda \nu\).
Understand that in this equation, \(c\) is the speed of light (approximately \(3.00 \times 10^{8}\) m/s), \(\lambda\) is the wavelength (in meters), and \(\nu\) is the frequency (in hertz).
To find the wavelength when the frequency is known, rearrange the equation to solve for \(\lambda\): \(\lambda = \frac{c}{\nu}\).
Note that the other given equations relate to different concepts: \(\nu = \frac{\lambda}{c}\) is incorrect dimensionally, \(\lambda = \frac{h}{p}\) relates wavelength to momentum (de Broglie wavelength), and \(E = h\nu\) relates energy to frequency.
Therefore, the correct equation to calculate wavelength from frequency is \(c = \lambda \nu\), or equivalently, \(\lambda = \frac{c}{\nu}\).
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