Explain how Corpuscular theory predicts the speed of light in a medium, say, water, to be greater than the speed of light in vacuum. Is the prediction confirmed by experimental determination of the speed of light in water? If not, which alternative picture of light is consistent with experiment?
Explain how Corpuscular theory predicts the speed of light in a medium, say, water, to be greater than the speed of light in vacuum. Is the prediction confirmed by experimental determination of the speed of light in water? If not, which alternative picture of light is consistent with experiment?

Answer –

The velocity of light in the denser medium (water) is greater than the velocity of light in the rarer medium (air), according to Newton’s Corpuscular hypothesis (vacuum). This was erroneous in terms of experimentation.

The angle of refraction is r at the angle of incidence I of the light with velocity v.

The change in light velocity in water is v due to the change in medium.

Using snell’s law –

We have, c sin i = v sin r           ——(1)

The relation between the velocities and the refractive index is given by –

μ = v/c           ———(2)

Or, it can be written

v/c = sin i/sin r = μ ——-(3)

But μ> 1 so v > c is not possible

Therefore, huygens wave theory is in agreement with the experiment.