Our eyes are sensitive to electromagnetic radiation with wavelengths from 400nm to 700nm. What is associated range of frequencies?
Upper frequency limit = c/(shortest wavelength)
= 3*10^8 m/s/400*10^-9 m
= 7.5*10^14 Hz
Lower frequency limit = c/(longest wavelength)
= 3*10^8/700*10^-9 = _____ Hz
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To determine the associated range of frequencies, we can use the formula:
Frequency (f) = Speed of light (c) / Wavelength (λ)
Given that the wavelength range is from 400nm to 700nm, we can calculate the corresponding frequency range.
Speed of light (c) = 3 x 10^8 meters per second
Wavelength (λ) = 400nm (for violet light) and 700nm (for red light)
For the lower end of the range (violet light):
f = c / λ = (3 x 10^8 m/s) / (400 x 10^(-9) m)
= 7.5 x 10^14 Hz
For the higher end of the range (red light):
f = c / λ = (3 x 10^8 m/s) / (700 x 10^(-9) m)
= 4.28 x 10^14 Hz
Therefore, the associated range of frequencies is approximately 4.28 x 10^14 Hz to 7.5 x 10^14 Hz.