Exam 34: Ray Optics

In the figure,a laser positioned on a ship is used to communicate with a small two-man research submarine resting on the bottom of a lake.The laser is positioned 12 m above the surface of the water,and it strikes the water 20 m from the side of the ship.The water is 76 m deep and has an index of refraction of 1.33.How far horizontally is the submarine from the side of the ship?

The image of a plant is 4.0 cm from a concave spherical mirror having a radius of curvature of 10 cm.Where is the plant relative to the mirror?

An object 3.4 mm tall is placed 25 cm from the vertex of a convex spherical mirror.The radius of curvature of the mirror has a magnitude of 52 cm. (a)How far is the image from the vertex of the mirror? (b)What is the height of the image?

The speed of light in a material is What is the critical angle of a light ray at the interface between the material and a vacuum?

A ray of light goes from one transparent material into another,as shown in the figure.What can you conclude about the indices of refraction of these two materials?

A man's face is 30 cm in front of a concave spherical shaving mirror.If the image is erect and 1.5 times as large as his face,what is the radius of curvature of the mirror?

An optic fiber is made of clear plastic with index of refraction of 1.50,surrounded by air.For what angles of incidence θ will light remain within the plastic fiber?

A swimming pool is filled to a depth of 2.0 m.How deep does the pool appear to be from above the water,which has an index of refraction of 1.33?

The critical angle in air for a particular type of glass is 39.0°.What is the speed of light in this class glass? (c = 3.00 × 10⁸ m/s)

In the figure,the radius of curvature of the curved part of the lens is 35.0 cm,and the refractive index of the lens material is 1.620.What is the focal length of the lens?

A convex lens has a focal length f.An object is placed at a distance between f and 2f on a line perpendicular to the center of the lens.The image formed is located at what distance from the lens?

In the figure,the radius of curvature of the curved part of the lens is 24.0 cm,and the refractive index of the lens material is 1.750.What is the focal length of the lens?

A 4.0-cm tall object is placed 60 cm away from a converging lens of focal length 30 cm.What are the nature and location of the image? The image is

A double-convex thin lens is made of glass with an index of refraction of 1.52.The radii of curvature of the faces of the lens are 60 cm and 72 cm.What is the focal length of the lens?

What is the critical angle for light traveling from crown glass (n = 1.52)into water (n = 1.33)?

A convex lens has a focal length f.An object is placed between infinity and 2f from the lens along a line perpendicular to the center of the lens.The image is located at what distance from the lens?

A ray of light traveling in air strikes the surface of a certain plastic slab at 63.0° with respect to the normal in air.It travels in the plastic slab at a 30.6° angle with respect to the normal.Find the critical angle for the plastic in air.

A tank holds a 1.44-m thick layer of oil that floats on a 0.96-m thick layer of brine.Both liquids are clear and do not intermix.Point O is at the bottom of the tank,on a vertical axis.The indices of refraction of the oil and the brine are 1.40 and 1.52,respectively.A ray originating at O crosses the brine-oil interface at a point 0.60 m from the axis.The ray continues and emerges into the air above the oil.What is the angle that the ray in the air makes with the vertical?

A goldfish bowl is spherical,8.0 cm in radius.A goldfish is swimming 3.0 cm from the wall of the bowl.Where does the fish appear to be to an observer outside? The index of refraction of water is 1.33.Neglect the effect of the glass wall of the bowl.

An object 1.80 cm tall is placed 100 cm in front of a diverging lens having a focal length of magnitude 25 cm.A converging lens with a focal length of magnitude 33.33 cm is placed 30 cm past the first lens.What is the lateral magnification of this system of lenses?