The compound eyes of bees and other insects are highly sensitive to light in the ultraviolet portion of the spectrum, particularly light with frequencies between 7.5 × 1014 Hz and 1.0 × 1015 Hz. The speed of light is 3 × 108 m/s. What is the largest wavelength to which these frequencies correspond? Answer in units of m.

Respuesta :

Answer:

[tex]4\cdot 10^{-7} m[/tex]

Explanation:

The relationship between frequency, speed of light and wavelength of an electromagnetic wave is

[tex]\lambda=\frac{c}{f}[/tex]

where

[tex]\lambda[/tex] is the wavelength

c is the speed of light

f is the frequency

Let's calculate the corresponding wavelengths for the minimum and maximum frequency of the portion of spectrum to which bees and insects are sensitive:

[tex]\lambda_1 = \frac{3\cdot 10^8 m/s}{7.5\cdot 10^{14} Hz}=4\cdot 10^{-7} m[/tex]

[tex]\lambda_2 = \frac{3\cdot 10^8 m/s}{1.0\cdot 10^{15} Hz}=3\cdot 10^{-7} m[/tex]

So, the largest wavelength corresponding to these frequencies is

[tex]4\cdot 10^{-7} m[/tex]