Final answer:
The correct answer is that a) higher frequency corresponds to shorter wavelengths in the electromagnetic spectrum. This is a fundamental concept in physics based on the inverse proportionality of frequency and wavelength.
Step-by-step explanation:
In the context of the electromagnetic spectrum, the correct statement is: a) Higher frequency corresponds to shorter wavelengths. This is because wavelength and frequency are inversely proportional to each other. In physics, this relationship is encapsulated by the formula c = fλ (where c is the speed of light, f is the frequency, and λ is the wavelength), indicating that as the frequency (f) of an electromagnetic wave increases, its wavelength (λ) decreases, and vice versa. For all electromagnetic waves, which travel at a constant speed in a vacuum (the speed of light), a greater frequency will always correspond to a smaller wavelength. Therefore, options (a) and (d) in the question are correct, with (a) being the direct answer to the question posed.