Question

An EMR photon is transmitted by as a 100 MHz FM radio wave. What is it’s A) wavelength B) energy of one photon C) Total energy of 1x10^18 photons?

Answer 1

A. λ = 3 m

B. E = 1.9878 x 10⁻³³ J

C. Total energy : 1.9878 x 10⁻²⁰ J

Further explanation

The photoelectric effect is an electron coming out of a metal because of electromagnetic radiation

One type of electromagnetic radiation is light

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. wavelength

`\tt \lambda=(c)/(f)\\\\\lambda=(3.10^8)/(1.10^8~Hz)=3~m`

B. energy of one photon

`\tt E=h* f\\\\E=6.626* 10^(-34)* 3=1.9878* 10^(-33)~J`

C. Total energy

`\tt 1.9878* 10^(-33)* 10^(18)=1.9878* 10^(-20)`