A hollow prism made of transparent glass is filled with a transparent liquid. The angle between the two refracting faces of the prism is `90^@`. If light incident on one of the faces at grazing angle comes out of the other also at a grazing angle, the refractive index of the liquid is

Options

A. 1.414
B. 1.333
C. 1.35
D. 1.4

Answer

A

Explanation

Refractive index of prism,` mu =1/(sinC)`
`implies C= A/2=90^@/2=45`
`implies mu=1/(sin45^@)=1.414`