Visitors at a science museum are invited to sit in a chair to the right of a ful
ID: 2069973 • Letter: V
Question
Visitors at a science museum are invited to sit in a chair to the right of a full-length diverging lens (f1 = -2.79 m) and observe a friend sitting in a second chair, 1.94 m to the left of the lens. The visitor then presses a button and a converging lens (f2 = 4.28 m) rises from the floor to a position 1.73 m to the right of the diverging lens, allowing the visitor to view the friend through both lenses at once. Be sure to include the algebraic signs (+ or ?) with your answers.(a) Find the magnification of the friend when viewed through the diverging lens only.
(b) Find the overall magnification of the friend when viewed through both lenses.
Explanation / Answer
Note that
1/f = 1/do + 1/di
where
f = focal length = -3.2 m
do = object distance = 1.5 m
di = image distance
Thus, solving for di,
di = -1.021276596 m
Thus, the magnification, m = -di/do,
m = 0.68085 [ANSWER, PART A]
********************
This will be do = 3.3213 m from the second lens.
Thus,
Note that
1/f = 1/do + 1/di
where
f = focal length = 3.5 m
do = object distance = 3.3213 m
di = image distance
Thus, solving for di,
di = -65.05064354 m
Thus, the magnification, m = -di/do,
m = 19.58589815
Thus, mtot = 0.68085 * 19.5858
= 13.33 [ANSWER, PART B]
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