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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 - Physics

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प्रश्न

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 the experiment?

संक्षेप में उत्तर

उत्तर

No; Wave theory

Newton’s corpuscular theory of light states that when light corpuscles strike the interface of two media from a rarer (air) to a denser (water) medium, the particles experience forces of attraction normal to the surface. Hence, the normal component of velocity increases while the component along the surface remains unchanged.

Hence, we can write the expression:

c sin i = v sin r ...........(i)

Where,

i = Angle of incidence

r = Angle of reflection

c = Velocity of light in air

v = Velocity of light in water

We have the relation for a relative refractive index of water with respect to air as:

μ = `"v"/"c"`

Hence, equation (i) reduces to

`"v"/"c" = sin"i"/sin "r" = μ` ..........(ii)

But, μ > 1

Hence, it can be inferred from equation (ii) that v > c. This is not possible since this prediction is opposite to the experimental results of c > v.

The wave picture of light is consistent with the experimental results.

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Reflection and Refraction of Plane Wave at Plane Surface Using Huygens' Principle - Refraction of a Plane Wave
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अध्याय 10: Wave Optics - Exercise [पृष्ठ ३८४]

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एनसीईआरटी Physics [English] Class 12
अध्याय 10 Wave Optics
Exercise | Q 10.12 | पृष्ठ ३८४
एनसीईआरटी Physics [English] Class 12
अध्याय 10 Wave Optics
Exercise | Q 12 | पृष्ठ ३८४

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