Question

Find the frequency range of visible light, given that it encompasses wavelengths from 380 to 760 nm.

a) 2.998 x 108 m/s / 380 nm
b) 2.998 x 108 m/s/760 nm
c) 380 nm/2.998 × 108 m/s
d) 760 nm/2.998 × 108 m/s

Answer 1

To calculate the frequency range of visible light, we use the formula f = c/λ. The frequencies range from approximately 3.94 x 10¹⁴ Hz to 7.89 x 10¹⁴ Hz for wavelengths between 380 nm and 760 nm.

Step-by-step explanation:

The question asks to find the frequency range of visible light, which has a wavelength range from 380 nm to 760 nm. The speed of light is a constant, 2.998 x 10⁸ m/s.

To find the frequency (f), we use the formula f = c/λ, where 'c' is the speed of light, and 'λ' is the wavelength.

So for the shortest wavelength (highest frequency), the frequency is f = 2.998 x 10⁸ m/s / 380 x 10⁹ m = 7.89 x 10¹⁴ Hz.

For the longest wavelength (lowest frequency), the frequency is f = 2.998 x 10⁸ m/s / 760 x 10⁹ m = 3.94 x 10¹⁴ Hz.

The range of frequencies for visible light is therefore from approximately 3.94 x 10¹⁴ Hz to 7.89 x 10¹⁴ Hz.