To engrave wishes of good luck on a watch, an engraver uses a magnifier whose fo

Question

To engrave wishes of good luck on a watch, an engraver uses a magnifier whose focal length is 8.05 cm. If the image formed by the magnifier is at the engraver's near point of 23.5 cm, find the following. Assume the magnifying glass is directly in front of the engraver's eyes. (Include the sign of each answer.)
(a) the distance between the watch and the magnifier
_______________________ cm

(b) the angular magnification of the engraving
_______________________

Explanation / Answer

(a) the distance between the watch and the magnifier Given that f = 8.05 cm i = 23.5 cm o = ? We know that 1 / f = 1/ o + 1 / i ==> 1 / o = 1 / f - 1 /i ==> o = i * f / i - f = 23.5 * 8.05 / 23.5 - 8.05 = 12.24 cm (b) the angular magnification of the engraving We know that angular magnification = 25 cm / f = 25.0 cm / 8.05 = 3.10

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