1.        A ray of light enters a piece of glass from air at an angle of 73 ° to the normal.   nair = 1.000 and nglass = 1.50,

(a) What is the angle of the refracted ray in the glass  (b)  What is the critical angle for total internal reflection within the glass?

2. A concave mirror is used to produce an real image three times larger than the object which is placed 4 cm in front of the Mirror.   a) What is the image distance? b) What is the focal length of the mirror ?

3. An object is placed 40 cm in front of a thin convex lens along its axis.  The lens has a focal length of 12 cm.  What are the values, respectively, of the image distance and magnification?

4. Light of wavelength 575 nm falls on a double slit, and the first bright fringe is seen at an angle of 14.5°.  a) Find the separation distance between the slits, d.  (b) If the distance from slits to screen is 1.68 m, what is the distance, y, from the principle maximum to the first bright fringe?

 1.68 m

5. A thin coating of magnesium dioxide, n= 1.38 , is placed on the surface of a glass lens, n = 1.50, so as to prevent reflection (destructive interference) from light with a wavelength of 550 nm.  What is the thickness of the coating?

6. Light of wavelength 587.5 nm illuminates a single slit (a =  0.025 mm wide) (a) The  distance from the slit to a screen is 1.60 m.  What is the width of the central maximum?   (b) Describe in words what the diffraction pattern would look like if white light containing all the colors were used to illuminate the slit?

 y

 Laser

 1.68 m

7. An individual is farsighted; his near point is 75.0 cm.   (a) What is the focal length of the lens needed to correct his vision?    (b)  What lens power is needed to correct his farsightedness?

8. An object is placed 60 cm in front of a convex lens having a focal length of  20 cm.   A second lens with a focal length of 10 cm is placed 33 cm behind the first lens.  Where is the final image?  What is the overall magnification from the two lenses?

9.  A diffraction grating with 6000 lines/cm is illuminated with white light.   What is the angles for red (l = 650 nm)   and for blue light (l = 434 nm)?

10. Why is the sky blue?  ________________________________________________________________________

What is plane polarized light (how is it different from non-polarized light?  ________________________________

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