Question

A certain part of the electromagnetic spectrum ranges from 200 nm to 400 nm. What is the highest frequency associated with this portion of the spectrum

Answer 1

1.5* 10¹⁵ Hz

Step-by-step explanation:

• In any electromagnetic wave (assuming it's propagating in vacuum), the propagation speed is just c, the speed of light.
• As in any wave, there exists a fixed relationship between speed (c), frequency (f) and wavelength (λ), as follows:

`c = \lambda * f (1)`

• Since c is an universal constant, we can see that there exists an inverse relationship between λ and f, so if the lower the wavelength, the higher the frequency.
• So, in this case, the highest frequency will be the one associated with the lowest wavelength, i.e., 200 nm.
• Solving for f from (1), replacing by the values, we get:

`f = (c)/(\lambda) = (3e8m/s)/(200e-9m) = 1.5e15 1/sec = 1.5e15 Hz (2)`