What is the relationship between wavelength and frequency?
The correct answer is B: Wavelength gets shorter as frequency increases. There is an inverse relationship between wavelength and frequency: as frequency increases, wavelength decreases (gets shorter). This is because the speed of light is constant, so if frequency goes up, wavelength must go down.
The relationship is: wavelength = speed of light / frequency. Since the speed of light is constant, wavelength and frequency are inversely proportional. Higher frequencies have shorter wavelengths, and lower frequencies have longer wavelengths. For example, 2 meters (144-148 MHz) has a shorter wavelength than 20 meters (14-14.35 MHz), which has a shorter wavelength than 80 meters (3.5-4.0 MHz).
Exam Tip
Frequency up = Wavelength down. Remember: As frequency increases, wavelength decreases (gets shorter). They have an inverse relationship because the speed of light is constant.
Memory Aid
"**F**requency **W**avelength = **F**aster **W**aves **S**horter (think 'FW = FWS' = Faster Waves Shorter, higher frequency = shorter wavelength)"
Real-World Application
You're comparing 2-meter and 20-meter signals. The 2-meter band (around 144 MHz) has a wavelength of approximately 2 meters. The 20-meter band (around 14 MHz) has a wavelength of approximately 20 meters. The higher frequency (2 meters) has the shorter wavelength, and the lower frequency (20 meters) has the longer wavelength. This inverse relationship holds for all frequencies.
FCC Part 97.3Key Concepts
Why Other Options Are Wrong
Option A: Incorrect. Wavelength doesn't get longer as frequency increases. It gets shorter - they have an inverse relationship.
Option C: Incorrect. Wavelength and frequency are definitely related. They have an inverse relationship through the speed of light.
Option D: Incorrect. Wavelength and frequency don't increase with path length. Path length is the distance traveled, not related to the wavelength-frequency relationship.
题目解析
The correct answer is B: Wavelength gets shorter as frequency increases. There is an inverse relationship between wavelength and frequency: as frequency increases, wavelength decreases (gets shorter). This is because the speed of light is constant, so if frequency goes up, wavelength must go down. The relationship is: wavelength = speed of light / frequency. Since the speed of light is constant, wavelength and frequency are inversely proportional. Higher frequencies have shorter wavelengths, and lower frequencies have longer wavelengths. For example, 2 meters (144-148 MHz) has a shorter wavelength than 20 meters (14-14.35 MHz), which has a shorter wavelength than 80 meters (3.5-4.0 MHz).
考试技巧
Frequency up = Wavelength down. Remember: As frequency increases, wavelength decreases (gets shorter). They have an inverse relationship because the speed of light is constant.
记忆口诀
**F**requency **W**avelength = **F**aster **W**aves **S**horter (think 'FW = FWS' = Faster Waves Shorter, higher frequency = shorter wavelength)
实际应用示例
You're comparing 2-meter and 20-meter signals. The 2-meter band (around 144 MHz) has a wavelength of approximately 2 meters. The 20-meter band (around 14 MHz) has a wavelength of approximately 20 meters. The higher frequency (2 meters) has the shorter wavelength, and the lower frequency (20 meters) has the longer wavelength. This inverse relationship holds for all frequencies.
错误选项分析
Option A: Incorrect. Wavelength doesn't get longer as frequency increases. It gets shorter - they have an inverse relationship. Option C: Incorrect. Wavelength and frequency are definitely related. They have an inverse relationship through the speed of light. Option D: Incorrect. Wavelength and frequency don't increase with path length. Path length is the distance traveled, not related to the wavelength-frequency relationship.
知识点
Wavelength, Frequency, Inverse relationship, Speed of light
Verified Content
Question from official FCC Technician Class question pool. Explanation reviewed by licensed amateur radio operators.