Can you guys please solve this problems

1.A 1.0-mm-diameter glass optical fiber is inserted into the artery of a patient. The index of refraction of the surrounding blood is 1.37. Light from inside the artery is incident on the flat face of the fiber. What is the maximum angle ₀ for which the light ray will undergo TIR inside the fiber?

2. A biologist keeps a specimen of her favorite beetle embedded in a cube of polystyrene plastic. The hapless bug appears to be 2.0 cm within the plastic. What is the beetle's actual distance beneath the surface?

3. The composition of the ancient atmosphere can be determined by analyzing bubbles of air trapped in amber, which is fossilized tree resin. An air bubble appears to be 7.2 mm below the flat surface of a piece of amber, which has index of refraction 1.54. How long a needle is required to reach the bubble?

5. A 2.0-cm-tall object is 40 cm in front of a converging lens that has a 20 cm focal length. Determine the position, orientation, and height of the image

6.The illumination lights in an operating room use a concave mirror to focus an image of a bright lamp onto the surgical site. One such light has a mirror with a focal length of 15 cm. How far should the lamp be from the mirror so that the light is focused at a distance of 120 cm from the mirror?

The answer shown in the etext were only for some few numbers

1. 26.5

2.3.2 cm

5.2.0 cm

This are end of chapters practice problems and no steps were shown

Thanks