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]