PUC Karnataka Science Class 12Department of Pre-University Education, Karnataka
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Find the angle of incidence at face AB so that the emergent ray grazes along the face AC. - PUC Karnataka Science Class 12 - Physics

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Question

Find the angle of incidence at face AB so that the emergent ray grazes along the face AC.

Solution

from snell's law we know that
`sini/sinr =μ_(12)`

For the emergent ray to graze at the face AC, the angle of refraction should be 90°.

So, applying snell's law at face AC, we get `(sini_(AC)/sinr_(AC) )= μ_(21)`

`⇒ (sin i_(AC)/sin 90^@)=1/sqrt2 or i_(AC)= 45°.`

From geometry we can see that angle of refraction at face AB is 15°.

So applying snell's law we get `(sin i_(AB)/sin r_(AB))= μ_(12)`

`or sin i_(AB) = sin r_(AB)×μ_(12)`

`or i_(AB) =sin^-1(sqrt2sin15°)`

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Solution Find the angle of incidence at face AB so that the emergent ray grazes along the face AC. Concept: Refraction Through a Prism.
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