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Question -

What should be the distance between theobject in Exercise 9.30 and the magnifying glass if the virtual image of eachsquare in the figure is to have an area of 6.25 mm2. Would you be able to seethe squares distinctly with your eyes very close to the magnifier?



Answer -

Area of the virtual image of eachsquare, A = 6.25 mm2

Area of each square, A0 = 1 mm2

Hence, the linearmagnification of the object can be calculated as:

Focal length of the magnifying glass, f =10 cm

According to the lensformula, we have the relation:

Thevirtual image is formed at a distance of 15 cm, which is less than the nearpoint (i.e., 25 cm) of a normal eye. Hence, it cannot be seen by the eyesdistinctly.

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