Question

A photon has a wavelength of 299 nm. What is the frequency of this photon?

Answer 1

The frequency(f) of this photon : 1 x 10¹⁵ Hz

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

A photon has a wavelength of 299 nm.

λ = 299 nm = 299 x 10⁻⁹ m = 2.99 x 10⁻⁷ m

The frequency  :

$\tt f=\dfrac{3.10^8}{2.99\times 10^{-7}}\\\\f=\boxed{\bold{1\times 10^{15}~Hz}}$