Item 7 .A diverging lens is used to produce an image that is M times larger than

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?

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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