Question

Calculate the wavelength in nm of ultraviolet light with frequency of 5.5 x 10¹⁵ Hz.

Answer 1

Answer: Wavelength of ultraviolet light is 54 nm.

Step-by-step explanation:

Electromagnetic wave is defined as the wave which is associated with both electrical and magnetic component associated with them. They can travel in vacuum as well and travel with the speed of light.

The relationship between wavelength and frequency of the wave follows the equation:

`\\u=(c)/(\lambda)`

where,

`\\u` = frequency of the wave =
`5.5* 10^(15)Hz`

c = speed of light =
`3* 10^8ms^(-1)`

`\lambda` = wavelength of the wave

Putting in the values we get:

`5.5* 10^(15)s^(-1)=(3* 10^8ms^(-1))/(\lambda)`

`\lambda=0.54* 10^(-7)m`

`1nm=10^(-9)m`

`\lambda=54nm`

Thus wavelength of ultraviolet light is 54 nm.