Question

What is the energy of a photon having a wavelength of 2.60 ✕ 10-8 m?
J

Answer 1

The energy of a photon : 7.645 x 10⁻³⁴ J

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 , Hz

c = speed of light

= 3.10⁸ m/s

λ = wavelength ,m

wavelength λ of 2.60 ✕ 10⁻⁸ m

The energy :

`\tt E=h.(c)/(\lambda)\\\\E=6.626.10^(-34)* (3* 10^8)/(2.6* 10^(-8))\\\\E=7.645* 10^(-34)~J`