Problem 1
A ray of light enters crown glass from air at a 42.0o angle. Calculate the angle of refraction. The speed of light in the material is 2.0 x 108 m/s.

Ans. 26.6o


Problem 2
A concave mirror has a radius of curvature of 6.0 cm. An object 1.5 cm high is placed 5.0 cm from the mirror. Calculate the location and size of the image. Sketch a diagram of the graphical solution.

Ans. 7.5 cm, -2.25 cm


Problem 3

A light beam enters the prism below. The prism is surrounded by air. If the light beam strikes surface 2 at the critical angle what is ?

Ans. 27.5o


Problem 4
A converging lens of focal length f1=11.0 cm is placed 52.0 cm to the left of a converging lens of focal length f2 = 22.0 cm. When an object is placed to the left of lens 1 the lens combination forms a final image 33.0 cm to the right of lens 1 (so the final image is between the lenses).
a. Sketch the set up in a diagram (don't solve graphically, just draw the set up).
b. How far to the left of lens 1 is the object positioned?
c. What is the overall magnification of the lens combination?
d. Is the final image upright or inverted?

Ans. b. 14.9 cm, c. -5.22m d. inverted


Problem 5
Two slits with a sparation of 8.5 x 10-5 m create an interference pattern on a screen 2.3 m away. If the tenth bright fringe above the central fringe is a linear distance of 12 cm from it, what is the wavelength of light used in the experiment?

Ans. 440 nm



Problem 6
A thin film of magnesium fluoride (n = 1.38) is coated on a glass camera lens (n = 1.5). The thickness of the film is 1.01 x 10-5 cm.
a. Sketch a picture showing any phase changes.
b. Find any wavelengths in the visible spectrum that are intensified in the reflected light?

Ans. There are none


Problem 7
For a wavelength of 420 nm, a diffraction grating produces a bight fringe at an angle of 26o. For an unknown wavelength, the same grating produces a bright fringe at an angle of 41o. In both cases the bright fringes are of the same order m. What is the unknown wavelength?

Ans. 630 nm