객관식
Which of the following colors of visible light has the shortest wavelength?
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9. Quantum Mechanics
Wavelength and Frequency
객관식
Which of the following statements about the relationship between wavelength and frequency is most likely incorrect?
A
Wavelength and frequency of electromagnetic radiation are inversely related.
B
The product of wavelength and frequency equals the speed of light.
C
As the wavelength of light increases, its frequency decreases.
D
Light with a longer wavelength has a higher frequency.
검증된 단계별 안내1
Recall the fundamental relationship between wavelength (\( \lambda \)) and frequency (\( \nu \)) of electromagnetic radiation, which is given by the equation:
\[ c = \lambda \times \nu \]
where \( c \) is the speed of light (a constant).
Understand that since \( c \) is constant, wavelength and frequency must be inversely proportional. This means if wavelength increases, frequency must decrease, and vice versa.
Analyze each statement in the problem:
- "Wavelength and frequency are inversely related" aligns with the inverse proportionality from the equation.
- "The product of wavelength and frequency equals the speed of light" directly matches the equation.
- "As wavelength increases, frequency decreases" is consistent with inverse relationship.
Identify the incorrect statement: "Light with a longer wavelength has a higher frequency" contradicts the inverse relationship because a longer wavelength should correspond to a lower frequency, not higher.
Summarize that the key concept is the inverse relationship between wavelength and frequency, which is mathematically expressed by \( c = \lambda \times \nu \), and any statement contradicting this is incorrect.
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