Final answer:
Wave A, with a wavelength of 3.2 x 10−8 m, has the greatest frequency because the shorter the wavelength, the higher the frequency, given the speed of light is constant.
Step-by-step explanation:
The question is asking which of the three waves (A, B, or C) has the greatest frequency. To determine this, we need to consider the relationship between wavelength (λ) and frequency (ν), which is given by the equation c = λν, where c represents the speed of light (3.00 × 108 m/s). Since the speed of light is a constant, the wave with the shortest wavelength will have the highest frequency.
Given the wavelengths provided for the waves:
- Wave A - 3.2 x 10−8 m
- Wave B - 7.8 x 107 m
- Wave C - 5.3 x 1011 m
It is clear that Wave A has the shortest wavelength and therefore, by the inverse relationship between wavelength and frequency, Wave A will have the greatest frequency.