Question

Ultraviolet radiation is part of the electromagnetic spectrum that has wavelengths in the range of 200 nm to 400 nm. Given that the speed of all forms of electromagnetic radiation is 3.0 x 108 m/s, caleulate the frequency range of ultraviolet radiation.

Answer 1

Step-by-step explanation:

Wavelength range of ultraviolet radiations is from 200 nm to 400 nm.

Let minimum wavelength,
`\lambda_1=200* 10^(-9)\ m`

Maximum wavelength,
`\lambda_2=400* 10^(-9)\ m`

Speed of light,
`c=3* 10^8\ m/s`

Let f₁ is the minimum frequency and f₂ is the maximum frequency. It can be calculated as :

Minimum frequency,
`f_1=(c)/(\lambda_1)`

`f_1=(3* 10^8)/(200* 10^(-9))`

`f_1=1.5* 10^(15)\ Hz`

Maximum frequency,
`f_2=(c)/(\lambda_2)`

`f_2=(3* 10^8)/(400* 10^(-9))`

`f_2=7.5* 10^(14)\ Hz`

So, the frequency range of ultraviolet radiation is from
`1.5* 10^(15)\ Hz` to
`7.5* 10^(14)\ Hz`. Hence, this is the required solution.