Item 7 .A diverging lens is used to produce an image that is M times larger than
ID: 1328135 • Letter: I
Question
Item 7
.A diverging lens is used to produce an image that is M times larger than the object. The object is located a distance d from the image, and is situated between the object and the lens.
Part A - Which expression gives the distance s between the object and the diverging lens?
Be very careful with signs as they pertain to magnification.
Be very careful with signs as they pertain to magnification.
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Part B - Which expression gives the focal length f given the expression found for s in Part A?
s=dM s=(dM+1) s=(d1M) s=(dM1)Explanation / Answer
use the formula for magnification of lens M = -V/u = - di/do
given do + di = d
do = d - di
so V = - M di
so distance of the object do = di/M
do = d - do/M
doM = dM - do
do (1+M) = dM
do = dM/(1+M)
option 2
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now use 1/f = 1/do +1 /di
f = do di/(do+di)
f = (dM/(1+M) * di/(d)
f = dM + dMm
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