Question

An electromagnetic wave having a frequency of 1.33x1017 Hz, what is its wavelength?

Answer 1

Its wavelength : 2.31 x 10⁻⁹ m

Further explanation

Radiation energy is absorbed by photons

The energy in one photon can be formulated as

`\large{\boxed{\bold{E\:=\:h\:.\:f}}}`

Where

h = Planck's constant (6,626.10⁻³⁴ Js)

f = Frequency of electromagnetic waves

f = c / λ

c = speed of light

= 3.10⁸

λ = wavelength

Frequency of electromagnetic waves : 1.33 x 10¹⁷ Hz

the wavelength :

`\tt \lambda=(c)/(f)\\\\\lambda=(3.10^8)/(1.3* 10^(17))=2.31* 10^(-9)`