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Question

The dynamic mass of a photon having a wavelength of 10 nm is:
  1. 2.21×1035 kg
  2. 2.21×1034 kg
  3. 2.21×1033 kg
  4. 2.21×1032 kg


Solution

The correct option is B 2.21×1034 kg
According to de-Broglie hypothesis,
λ=hp
where,
h = Planck's constant
p = momentum of photon
So p = hλ = 6.626×103410×109 = 6.626×1026  kg.ms
Since photon travels at the speed of light, v=c
Hence, p = mc
where, c=3×108 m/s
So, dynamic mass m = 6.626×1026kg.ms3×108 m/s
              2.21×1034 kg

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