To measure the refractive index n of a glass prism with an angle a = 30°, the circuit shown in Fig. 134. The prism was placed in front of the positive lens A so that the face AB was perpendicular to the optical axis of the lens. A screen was placed in the focal plane of the lens, on which, when the AC face was illuminated with scattered light, two areas could be observed: illuminated and unilluminated. The segment connecting the boundary between the regions (point D) with the center of the lens turned out to be located at an angle of 30° to the optical axis of the lens. Determine the refractive index n of the prism.

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