What will be the momentum of a photon of energy 0.1 MeV in SI unit? |
$5.33 × 10^{-22}$ $7 × 10^{-24}$ $5.33 × 10^{-23}$ $3.33 × 10^{-23}$ |
$5.33 × 10^{-23}$ |
The correct answer is Option (3) → $5.33 × 10^{-23}$ Given: Energy of photon $E = 0.1\ \text{MeV}$ Conversion to joules: $1\ \text{eV} = 1.6\times10^{-19}\ \text{J}$ $E = 0.1\times10^{6}\times1.6\times10^{-19} = 1.6\times10^{-14}\ \text{J}$ Formula: $ p = \frac{E}{c} $ where $c = 3\times10^{8}\ \text{m/s}$ Substitute: $ p = \frac{1.6\times10^{-14}}{3\times10^{8}} = 5.33\times10^{-23}\ \text{kg·m/s}$ Therefore, the momentum of the photon is $p = 5.33\times10^{-23}\ \text{kg·m/s}$. |