1. An object is placed 50 cm away from a concave mirror. The real image height is observed to be four times larger than the object's height.
a) What is the mirror's radius of curvature ?
b) Use a ray diagram to locate the image position given the object distance and the radius from a).
c) What would be the image distance in case the mirror was replaced by a convex mirror of the same radius of curvature ?
2. A thin converging lens has a focal length f.
a) What object distance would give a real image, 2.5 times as large as the object ?
b) What object distance would give a virtual image, 2.5 times as large as the object ?
c) What range of object distances would give real images smaller than the object size ?
d) What range of object distances would give virtual images smaller than the object size ?
3. A camera is found to give proper film exposure when it is set at f/16 and the shutter is set to open for 1/32 s.
a) With the same film and lighting conditions and the speed set to 1/16 s, what f-number should the camera be set to?
b) How does the area of the aperture change from the first setting to the second ?
4. The Palomar reflecting telescope has a parabolic mirror with an 80 m focal length.
a) What magnification is achieved when an eyepiece of 50 mm focal length is used ?
b) How would you increase the magnification without changing the mirror ?
5. Two plane mirrors are joined at one edge at right angle to each other. A light ray is incident on one mirror, and is reflected on to the other, which subsequently reflects the ray once more.
a) What is the angle between the incident ray and the final reflection (assume the point of original incidence is 25 cm from the edge of contact and that the angle of incidence is 50°) ?
b) How would your answer be affected if the angle of original incidence changed to 75° and the distance to the edge changed to 10 cm ?
6. The distance between an object and its upright image is 20 cm. If the magnification is +0.5, what is the focal length of the lens that is used to form this image?
7. A nearsighted person cannot see objects clearly beyond 25 cm (her far point). What power and type of lens are needed to correct her vision?
8. The distance between the eyepiece and the objective lens of a certain compound microscope is 23.0 cm. The focal length of the eyepiece is 2.5 cm and that of the objective is 0.4 cm. What is the overall magnification of the microscope? Assume that the near point for the relaxed eye is 25 cm.

1. An object is placed 50 cm away from a concave mirror. The real i...