Question

The compound eyes of bees and other insects are highly sensitive to light in the ultraviolet portion of the spectrum, particularly light with a frequency between 6.0 ✕ 1014 Hz and 0.91 ✕ 1015 Hz. To what wavelengths do these frequencies correspond?

Answer 1

Answer:

5 x $10^{21}$ m and 3.3 x $10^{23}$ m

Explanation:

The relationship between the frequency and wavelength of light is given by the formula:

c = λ f, where c = speed of light ( 3.00 x $10^8$ m/s)

                        λ = wavelength

                        f = frequency.

hence,

λ = c/f

Therefore, a frequency of 6.0 ✕ $10^{14}$ Hz will have a wavelength of:

λ = 3.00 x $10^8$ /6.0 ✕ $10^{14}$ = 5 x $10^{21}$ m

Frequency of 0.91 ✕ $10^{15}$ Hz will have a wavelength of:

λ = 3.00 x $10^8$/0.91 ✕ $10^{15}$ = 3.3 x $10^{23}$ m

Hence, the two frequencies correspond to 5 x $10^{21}$ m and 3.3 x $10^{23}$ m wavelengths respectively.