Ray Optics and Optical Instruments Part 2

In the given figure, the face AC of the equilateral prism is immersed in a liquid of refractive index ' n '. For incident angle 60∘ at the side AC, the refracteel light beam just grazes along face AC. The refractive index of the liquid n=‌

√x

4

. The value of x is ________.
(Given refractive index of glass =1.5 )