Write characteristic of photon or How photon of electromagnetic radiation can be represented ?
From photoelectric effect and Compton effect characteristics of photon can be represented as follows :
$(1)$ During interaction of radiation with matter, radiation behaves as real particle which is called photon.
$(2)$ Energy of each photon is $h \mathrm{v}$ and momentum of each photon is $p=\frac{h \mathrm{v}}{c}$.
$(3)$ In vacuum speed of photon is equal to speed of light $(c)$.
$(4)$ If $\lambda$ is wavelength of radiation and $v$ is frequency of photon then energy of each photon $\mathrm{E}=h \mathrm{v}=\frac{h c}{\lambda}$ and momentum of each photon $p=\frac{h \mathrm{v}}{c}=\frac{h}{\lambda} .$ This is independent of intensity.
$(5)$ According to photon theory if $n$ photons are incident on unit area then intensity of light $\mathrm{I}=$ $n h v$ where $h v=$ energy of 1 photon, $v=$ frequency of incident light. Energy of photon does not depend on intensity of radiation.
$(6)$ Photons are electrically neutral. They do not get deflected by electric or magnetic field.
$(7)$ During photon-particle collision (for example electron-photon collision) of total energy and total momentum are conserved. Some times conservation of number of photons may not take place or new photon may be produced.
$(8)$ Mass of photon $m=\frac{h v}{c^{2}}$
According to Einstein's theory of relativity,
$\mathrm{E}=m c^{2}$
$\therefore h \mathrm{v}=m c^{2}$
$\therefore m=\frac{h \mathrm{v}}{c^{2}}$
There are materials which absorb photons of shorter wavelength and emit photons of longer wavelength. Can there be stable substances which absorb photons of larger wavelength and emit light of shorter wavelength.
A caesium photocell, with a steady potential difference of $60V$ across, is illuminated by a bright point source of light $50 cm$ away. When the same light is placed 1m away the photoelectrons emitted from the cell
The momentum of a photon of energy $1\,\, MeV$ in $kg \,\,m/s$ will be
The work function of a substance is $3.0\ \mathrm{eV}$. The longest wavelength of light that can cause the emission of photoelectrons from this substance is approximately: