1.

Light is incident normally on the face AB of a prism as shown in figure. A liquid of refractive index n is placed on face AC of the prism. The prism is made of glass of refractive index sqrt3. The limiton n for which total internal reflection takes place on face AC is ...........

Answer»

`n gt sqrt3`
`n lt 3/2`
`n=sqrt3`
`n gt 3/2`

Solution :
Refractive index of PRISM RELATIVE to LIQUID is
`n_p=("nprism")/("nliquid")=(sqrt3)/(n)` …(1)
`SIN c=(1)/(""^ln_p)=(n)/(sqrt3)` …(3)
For total internal reflection i `gt` c
sin i `gt` sin c
`therefore sin 60 gt (n)/(sqrt3)`
`therefore(sqrt3)/(2)=(n)/(sqrt3)""therefore n lt 3/2`


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