How will be kinetic mass of a photon be affected if we reduce its wavelength by 50%?
The energy of photon E= $$
\frac {h\times c }{λ}
$$
Here,
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.