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How will be kinetic mass of a photon be affected if we reduce its wavelength by 50%?

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The energy of photon E= $$
\frac {h\times c }{λ} 
$$ 

Here, 

  • h = Planck’s constant
  • c = speed of light
  • λ = wavelength

From mass energy relation,$$
mass (m) = \frac {h\times c }{λ} (\frac {1} {c^2})
$$ $$
mass ∝ \frac{1}{λ}
$$ 

If we reduce the wavelength by 50%, that means: New wavelength = λ / 2 $$ 
New mass ∝\frac{ 1} {\frac {λ }{ 2}} = \frac { 2} { λ}
$$ 

If the wavelength is reduced by 50%, the kinetic mass of the photon doubles.

Posted by

Saniya Khatri

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