Why Is It That Wavelength Is Inversely Proportional To Frequency And Energy

Why is it that wavelength is inversely proportional to frequency and energy

 

Answer: The wavelength of any wave with a constant speed is inversely proportional to its frequency, because as something vibrates more frequently, there is less time between one vibration and the next. Each complete vibration is one wavelength, so if there is less time, it can only go a shorter distance.