1.) The illumination on a penny at a distance of 60 cm from a light source is 12 lux.
Determine the illumination on the penny at a distance of 20 cm from the source.
 

2.) A police car is moving west at 95 mph and sounding an 800 Hz siren.  You are moving east at 55 mph when meeting him.  What frequencies do you hear while approaching him, and while leaving him?  (Take the velocity of sound as 733 mph.)
 

3.) Draw a sketch of the 1st overtone in a pipe open at both ends, clearly showing the positions of the nodes and antinodes.  If the length of the pipe is 60 cm, find the frequency of sound in this configuration in air at 20°C.
 

4.) Draw a sketch of the 2nd overtone in a pipe closed at one end and open at the other end, clearly showing the positions of the nodes and antinodes.  If the length of the pipe is 60 cm, find the frequency of sound in this configuration in air at 20°C.
 

If the sound level is specified as 37.5 dB, determine the intensity of the sound.
 

5.) The index of refraction of diamond is 2.42.
(a) Determine the critical angle for a diamond-to-air interface. Q_c=                     
(b) If 600 nm red light in air is incident on a diamond, what is its wavelength there?
 

6.) An object is located 30 cm in front of a convex mirror of focal length 60 cm.  Determine the location and nature (real or virtual, upright or inverted, enlarged or diminished) of the image, and draw a ray diagram to illustrate this situation.
 

7.) An object is located 30 cm in front of a concave mirror of focal length +10 cm.  Determine the location and nature (real or virtual, upright or inverted, enlarged or diminished) of the image, and draw a ray diagram to illustrate this situation.
 

8.) An object is located 50 cm in front of a concave lens of focal length 30 cm.  Determine the location and nature of the image, and draw a ray diagram.
 

9.) (20 pts.) Two thin convex lenses are placed 45 cm apart along the same axis.  The first lens has a focal length of 10 cm and the second has a focal length of 20 cm.  If an object 5 cm tall is placed 30 cm in front of the first lens, determine the following quantities: (Hint: Recall that p₂ = d - q₁)

1st image distance q₁   _______  1st image is real or virtual?        __________

2nd object distance p₂   _______  1st image is enlarged or diminished?   __________

2nd image distance q₂   _______  Final image is real or virtual?  __________

1st magnification M₁     _______  Final image is upright or inverted? __________

2nd magnification M₂   ________  Final image is enlarged or diminished?  __________