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Question -

Explain how Corpuscular theorypredicts the speed of light in a medium, say, water, to be greater than thespeed of light in vacuum. Is the prediction confirmed by experimentaldetermination of the speed of light in water? If not, which alternative pictureof light is consistent with experiment?



Answer -

NewtonтАЩs corpuscular theory oflight states that when light corpuscles strike the interface of two media froma rarer (air) to a denser (water) medium, the particles experience forces ofattraction normal to the surface. Hence, the normal component of velocityincreases while the component along the surface remains unchanged.

Hence,we can write the expression:
┬атАж (i)

Where,

i┬а= Angle of incidence

r┬а= Angle of reflection

c┬а= Velocity of light in air

v┬а= Velocity of light in water

We havethe relation for relative refractive index of water with respect to air as:

Hence, equation (i) reduces to

But,> 1

Hence, itcan be inferred from equation (ii) that┬аv┬а>┬аc. This is not possible since thisprediction is opposite to the experimental results of┬аc┬а>┬аv.

The wavepicture of light is consistent with the experimental results.

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