A simple magnifier is advertised as having an angular magnification of 10.0. If

Question

A simple magnifier is advertised as having an angular magnification of 10.0.

If you placed this magnifier 15.0 cm from a small insect, what kind of image of the insect would it produce?

1 a virtual, inverted image that is smaller than the insect 2 a real, inverted image that is smaller than the insect 3 a real, inverted image that is larger than the insect 4 a real, erect image that is larger than the insect 5 a virtual, erect image that is larger than the insect 6 a virtual, erect image that is smaller than the insect 7 a virtual, inverted image that is larger than the insect 8 a real, erect image that is smaller than the insect

Explanation / Answer

for a simple magnifier ,

angular magnification , M = 25/f

10 = 25/f

f = 2.5 cm

now, using lens formula ,

1/f = 1/di + 1/do

1/2.5 = 1/15 + 1/di

di = 3 cm

as the image distance is positive ,

and do > di

2) a real, inverted image that is smaller than the insect

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