is wave length were shortened would it has a higher or lower frequency

If the wavelength is shortened, the frequency would be higher.

Wavelength and frequency are inversely proportional to each other. This means that as the wavelength decreases, the frequency increases, and vice versa. The formula for the relationship between wavelength (λ) and frequency (f) is:

c = λf

where c is the speed of light (a constant value). As the wavelength decreases, the frequency must increase in order to keep the product of wavelength and frequency constant (since the speed of light remains constant).