Please provide a drawing or a diagram with the solution because I do not underst

Question

Please provide a drawing or a diagram with the solution because I do not understand how to solve it at all...

A glass hemisphere is silvered over its curved surface. A small air bubble in the glass is located on the central axis 5 cm from the plane surface. The radius of curvature of the spherical surface is 7.5 cm, and the refraction index of glass is 1.5. Looking along the axis into the plane surface, one sees two images of the bubble. How do they arise and where do they appear? (Please provide as detailed description as possible)

Explanation / Answer

one of two image first is formed by frelection from curve surface so

the first bubble image will appear closer to the flat (by 1/n);

The second image of bubble will be formed by the light that goes first to the curved mirror surface, being reflected to pass through the glass and refract at the plane surface.

1/di=1/f -1/do =1/3.75 -1/5

di=15cm

except that it runs out of glass halfway to that 15cm. So Snell refracts the actual focus (small angle approx) to only 2/3 of the 7.5 cm distance in air

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