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Question

The mass of a photon having wavelength 1 nm is:

A
2.21×1035 kg
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B
2.21×1033 g
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C
2.21×1033 kg
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D
2.21×1026 kg
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Solution

The correct option is C 2.21×1033 kg
According to de-Broglie hypothesis,
λ=hmv
where,
h = Planck's constant
m = mass of particle
v = velocity of particle

Since photon travels at the speed of light, v=c
Hence the formula becomes λ=hmc
where, h=6.626×1034 Js
c=3×108 m/s
Substituting the values, we get
m=hcλ=6.626 × 10343 × 108 × 109
2.21×1033 kg

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