Evans SPH 3U1
Physics Grade 11
Unit 3: Light and Optics
Note 9: Calculations with Lenses
Reference: Chapter 11.9
Thin lens Formula:
Magnification,m:
where:
do is the distance between the object and the lens
di is the distance between the image and the lens
f is the focal length
hi is the height of the image
ho is the height of the object
Sign Conventions:
ho height of object must be positive
do distance to object must be positive
f positive for convex lens, negative for concave
hi positive if image is upright, negative if image is inverted
di negative if image is on same side (virtual), positive if image is on opposite side (real)
Example 1: a converging lens is being used as a magnifying glass. If the focal length of the lens is 15cm and an ant that is 10cm away is being viewed, find the location of the image and its magnification.
(you'll find di is negative 30cm which means the image is on the same side of the lens as the object. It is a virtual image. The image is larger than the object and it is right side up)
Pg. 395 #'s 70, 73, 74, 76
Quiz