122. Concept Questions An object is placed to the left of a lens, and a real ima
ID: 2039413 • Letter: 1
Question
122. Concept Questions An object is placed to the left of a lens, and a real image is formed to the right of the lens. The image is in- verted relative to the object and is one-half the size of the object. (a) What kind of lens, converging or diverging, is used to produce this image? (b) How is the height h of the image related to the height ho of the object? Don't forget to take into account the fact that the image is inverted relative to the object. (c) What is the ratio dld of the image distance to the object distance? Problem For the situation described in the Concept Questions, the distance between the object and the image is 90.0 cm. (a) How far from the lens is the object? (b) What is the focal length of the lens?Explanation / Answer
given
size of the image hi = ho/2
(a)
converging
(b)
hi = ho/2 <<<<-----------ANSWER
(c)
magnification m = di/do = hi/ho
di/do = 1/2 <<<<-----------ANSWER
----------------------
given do + di = 90 cm
di = 90 - do
di/do = 1/2
di = 2*do
therefore
2*do = 90 - do
3*do =90
do = 90/3 = 30 cm <<----ANSWER
(b)
di = 90 - do = 90 - 30 = 60 cm
from thin lens equation
1/f = 1/do + 1/di
1/f = 1/30 + 1/60
f = 20 cm <<<<-----------ANSWER
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