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A convex (converging) lens produces a real, inverted image of an object that is

ID: 1445218 • Letter: A

Question

A convex (converging) lens produces a real, inverted image of an object that is magnified 2.40 times when the object is 37.0 cm from the lens. What is the focal length of the lens?

Since m = -2.4 and d(o) = 37cm; d(i) = m*d(o) => d(i) = 88.8 cm

Substituting back into the equation for focal length: 1/f = (1/37) + (1/88.8) => [f = 26.12 cm]

I have to submit online homework and this is my answer but it is considered wrong. What am I doing incorrectly? Thanks.

m = magnification

d(o) = object distance

d(i) = image distance

f = focal length

Explanation / Answer

Here,

magnification , m = -2.40

object distance , do = 37 cm

as magnification = -di/do

-2.40 = - di/37

di = 88.8 cm

Using lens formula

1/f = 1/di +1/do

1/f= 1/88.8 + 1/37

f = 26.2 cm

the focal length of the lens is 26.2 cm

Everything that you are doing seems correct.

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