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.

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:

$\nu=\frac{c}{\lambda}$

where,

$\nu$ = frequency of the wave  =$5.5\times 10^{15}Hz$

c = speed of light  =$3\times 10^8ms^{-1}$

$\lambda$ = wavelength of the wave  

Putting in the values we get:

$5.5\times 10^{15}s^{-1}=\frac{3\times 10^8ms^{-1}}{\lambda}$

$\lambda=0.54\times 10^{-7}m$

$1nm=10^{-9}m$

$\lambda=54nm$

Thus wavelength of ultraviolet light is 54 nm.