Four students write their ideas about the relationship between wavelength and frequency. Which student is correct?
Without the ideas of the four students, it is not possible to determine which student is correct.
To determine which student is correct about the relationship between wavelength and frequency, let's examine the different ideas presented by the four students:
1. Student A: "As the wavelength increases, the frequency also increases."
2. Student B: "Wavelength and frequency are not related."
3. Student C: "As the wavelength increases, the frequency decreases."
4. Student D: "As the wavelength decreases, the frequency increases."
The correct answer is Student D. According to the relationship between wavelength and frequency, as the wavelength decreases (gets shorter), the frequency increases. This relationship is consistent with the fundamental equation relating wavelength (λ) and frequency (f) of a wave:
c = λ * f
where c is the speed of light and remains constant for a given medium. Since the speed of light is constant, for a wave, when the wavelength decreases, the frequency must increase, and vice versa.