If the energy of a photon is 10 eV, then its momentum is(a) 5.33 × 10⁻²³ kg m/s(b) 5.33 × 10⁻²⁵ kg m/s(c) 5.33 × 10⁻²⁹ kg m/s(d) 5.33 × 10⁻²⁷ kg m/s
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Answer:
D) 5.33 × 10⁻²⁷ kg m/s
Explanation:
The momentum of a photon - p = E/c
Energy = 10 eV, thus its momentum = 10eVc where c is the velocity of light’
p = h/ wavelength = h. freqency /(frequency. wavelength)
There is a relationship between photon momentum p and photon energy E that is consistent with the relation for the total energy of a particle as
E² = (pc)² + (mc)².
where m is zero for a photon, but p is not,
Thus, E² = (pc)² + (mc)²
= E = pc, or p=E/c
= P = E /C = 10 * 1.6 * 10^-19 / (3 * 10^8)
= 5.33 × 10⁻²⁷ kg m/s