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If the angle incidence and angle of emer...

If the angle incidence and angle of emergence of a light ray falling on a glass slab are i and e respectively, then prove that, i=e.

Text Solution

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`" "_(2)n_(1)=(1)/(""_(1)n_(2))`
`1^(st)` medium be air
`2^(nd)` medium be glass
`" "_(g)n_(a)=(1)/(""_(a)n_(g)) ` …………. (i)
At surface AB
`" "_(g)n_(a)=(sin i)/(sin r)` ………..(ii)
At surface CD
`" "_(a)n_(g)=(sin r)/(sin e)` ............(iii)
Substituting (ii) and (iii) in (i)
`(sin i)/(sin r)=(sin e)/(sin r)`
`sin i=sin e`
`i=e`
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