A stamp collector is viewing a stamp with a magnifying glassheld next to her eye

Question

A stamp collector is viewing a stamp with a magnifying glassheld next to her eye. Her near point is 25 cm from her eye.(a) What is the refractive power of a magnifyingglass that has an angular magnification of 5.2 when the image ofthe stamp is located at the near point? (b) Whatis the angular magnification when the image of the stamp is 41 cmfrom the eye? The answer for part A is required in diopter units. Ilooked up online how to convert from cm to diopter but I amrepeatedly just getting the wrong answer A stamp collector is viewing a stamp with a magnifying glassheld next to her eye. Her near point is 25 cm from her eye.(a) What is the refractive power of a magnifyingglass that has an angular magnification of 5.2 when the image ofthe stamp is located at the near point? (b) Whatis the angular magnification when the image of the stamp is 41 cmfrom the eye? The answer for part A is required in diopter units. Ilooked up online how to convert from cm to diopter but I amrepeatedly just getting the wrong answer

Explanation / Answer

A stamp collector is viewing a stamp with a magnifying glassheld next to her eye. Her near point is 25 cm from her eye.(a) What is the refractive power of a magnifyingglass that has an angular magnification of 5.2 when the image ofthe stamp is located at the near point?
magnification=m=1+D/f
where m= magnification
D is the near point
f is the focal length

5.2=1+25/f
calculating f=5.95cm
now the refracting power=1/ focal length in meter=100/5.95=16.80Diopter


(b) What is the angular magnification whenthe image of the stamp is 41 cm from the eye?
m=1+41/5.95=7.89

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