Question

OMG LIKE HELP ME! What is the wavelength of the radiation with a frequency that is 5.18 x10^15 Hz? What is the wavelength of the radiation with a frequency that is 5.18 x10^15 Hz? In what region of the electromagnetic spectrum is this radiation?

Answer 1

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)