If $$i^$$ denotes a unit vector along an incident ray, $$r^$$ a unit vector along the refracted ray into a medium of refractive index 'μ ' and $$n^$$ a unit vector normal to the boundary of the media directed towards the incident medium, then the law of refraction can be written as

Question

If $$i^$$ denotes a unit vector along an incident ray, $$r^$$ a unit vector along the refracted ray into a medium of refractive index 'μ ' and $$n^$$ a unit vector normal to the boundary of the media directed towards the incident medium, then the law of refraction can be written as

Infinity Learn · Accepted Answer

A¯ x B¯$$=A$$¯B¯ $$sin$$θ $$i^$$ x $$n^=i^$$ $$r^$$ $$sini=1$$ x $$1$$ x $$sini=sini$$ $$r^$$ x $$n^=r^$$ $$n^$$ $$sinr=1$$ x $$1$$ x $$sinr=sinr$$ μ$$=sinisinr=i^$$ x $$n^r^$$ x $$n^$$ ∴$$i^$$ x $$n^=$$μ$$r^$$ x $$n^$$

If $\hat{i}$ denotes a unit vector along an incident ray, $\hat{r}$ a unit vector along the refracted ray into a medium of refractive index ' $μ$ ' and $\hat{n}$ a unit vector normal to the boundary of the media directed towards the incident medium, then the law of refraction can be written as

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If i^ denotes a unit vector along an incident ray, r^ a unit vector along the refracted ray into a medium of refractive index 'μ ' and n^ a unit vector normal to the boundary of the media directed towards the incident medium, then the law of refraction can be written as

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Ready to Test Your Skills?

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If $\hat{i}$ denotes a unit vector along an incident ray, $\hat{r}$ a unit vector along the refracted ray into a medium of refractive index ' $μ$ ' and $\hat{n}$ a unit vector normal to the boundary of the media directed towards the incident medium, then the law of refraction can be written as