The mininum deviation produced by a hallow prism
For a prism when the ray is incident at minimum deviation condition :-
The angle of prism (angle A) = 2 * The angle of refraction (2*30) = 60 degrees.
Refractive index of liquid = (sin((A + D)/2))/(sin(A/2)) = sin ((60+30)/2)/sin(30) = sin(45)/sin(30) =
Sqaure root of 2.
Therefore refractive index of liquid is square root of 2.