contestada

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.

Respuesta :

Explanation:

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

Let minimum wavelength, [tex]\lambda_1=200\times 10^{-9}\ m[/tex]

Maximum wavelength, [tex]\lambda_2=400\times 10^{-9}\ m[/tex]

Speed of light, [tex]c=3\times 10^8\ m/s[/tex]

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

Minimum frequency, [tex]f_1=\dfrac{c}{\lambda_1}[/tex]

[tex]f_1=\dfrac{3\times 10^8}{200\times 10^{-9}}[/tex]

[tex]f_1=1.5\times 10^{15}\ Hz[/tex]

Maximum frequency, [tex]f_2=\dfrac{c}{\lambda_2}[/tex]

[tex]f_2=\dfrac{3\times 10^8}{400\times 10^{-9}}[/tex]

[tex]f_2=7.5\times 10^{14}\ Hz[/tex]

So, the frequency range of ultraviolet radiation is from [tex]1.5\times 10^{15}\ Hz[/tex] to [tex]7.5\times 10^{14}\ Hz[/tex]. Hence, this is the required solution.