A solid glass sphere with a radius of 4.50 cm and index of refraction of 1.63 has a small coin embedded 2.50 cm from the front surface of the sphere. For the viewer looking at the coin through the glass, at what distance from the front surface of the glass does the coin's image appear to be located?

A convex refracting surface has a radius of 12 cm. Light is incident in air (n = 1) and refracted into a medium with an index of refraction of 1.5. Light incident parallel to the central axis is focused at a point:

A beam of light is incident from the air on the surface of a liquid.  If the angle of incidence is 49.0° and the angle of refraction is 25.0° , find the critical angle for the liquid when surrounded by air.

A very large piece of clear ice has a cave man frozen inside it. When viewed at an anglefrom the top of the ice the cave man appears to be 1.00 ft below the surface of the ice.What is the actual depth (in units of inches) of the cave man from the top of the ice?The index of refraction of the ice is 1.309   Do NOT use i for the angle of incidence or r for the refracted angle

A block of crown glass is immersed in water as in the figure below. A light ray is incident on the top face at an angle of  38° with the normal and exits the block at point P. (a) Find the vertical distance y from the top of the block to P. 0.0642 m 0.0483 m 0.0353 m 0.0854 m (b) Find the angle of refraction  θ2 of the light ray leaving the block at P.

A man standing 1.54 m in front of a shaving mirror produces an inverted image 18.6 cm in front of it. How close to the mirror should he stand if he wants to form an upright image of his chin that is twice the chin's actual size? cm A contact lens is made of plastic with an index of refraction of 1.40. The lens has an outer radius of curvature of +1.92 cm and an inner radius of curvature of +2.47 cm. What is the focal length of the lens? cm