A glass sphere (n = 1.50) with a radius of 11.0 cm has a tiny air bubble 3.00 cm above its center. The sphere is viewed looking down along the extended radius containing the bubble. What is the apparent depth of the bubble below the surface of the sphere?

The bubble is 5.33 cm below the surface of the sphere.

Explanation:

let n be the refractive index, D be the real depth and d be the apparent depth of the bubble.

then, the refractive index is given by:

n = D/d

d = D/n

= (11 - 3) / (1.50)

= 5.33 cm

Therefore, the bubble is 5.33 cm below the surface of the sphere.