33. Geometric Optics

A student observes a goldfish in a flat sided aquarium. The goldfish observes the student. If the student observes that the image of the fish's nose is $6.0\mathrm{cm}$ from the side of the tank, how far behind the glass is the nose of the fish?

One side of a biconvex glass lens (n=1.5) has a radius of curvature of $25\mathrm{cm}$, while the other side has a radius of curvature of $40\mathrm{cm}$. What is its focal length?

A Spherical Fish Bowl. A small tropical fish is at the center of a water-filled, spherical fish bowl 28.0 cm in diameter. (a) Find the apparent position and magnification of the fish to an observer outside the bowl. The effect of the thin walls of the bowl may be ignored.

The left end of a long glass rod 8.00 cm in diameter, with an index of refraction of 1.60, is ground and polished to a convex hemispherical surface with a radius of 4.00 cm. An object in the form of an arrow 1.50 mm tall, at right angles to the axis of the rod, is located on the axis 24.0 cm to the left of the vertex of the convex surface. Find the position and height of the of the arrow formed by paraxial rays incident on the convex surface. Is the erect or inverted?