The wavelength of the radiation : λ=5.792 x 10⁻⁸ m = 5.792 x 10⁻⁶ cm
Region of Ultraviolet
Further explanation
Given
A frequency : 5.18 x10¹⁵ Hz
Required
The wavelength
Solution
Frequency (f): the number of waves per second
Wavelength (λ): the distance from one crest/one trough to another
Fast wave propagation (v): the distance traveled by waves per unit of time
v= 3 x 10⁸ m/s
General formula :
v = λ.f
λ=v/f
Input the value :
λ=3.10⁸ : 5.18.10¹⁵
λ=5.792 x 10⁻⁸ m = 5.792 x 10⁻⁶ cm
Region of Ultraviolet (4000 - 10 A°, 4 x 10⁻⁵ - 10⁻⁷ cm,7.5 x 10¹⁴ - 3 x 10¹⁷ Hz)