Problem S Light frorn a bum ng match propagates forn left to ng tfirst though a

Question

Problem S Light frorn a bum ng match propagates forn left to ng tfirst though a thin lens of feal length lan, and (10%) them through another than lems, with a 8. lem focal length. The lenses are fixed ll5?apart Areal image ofthe ame is frm by the second lens at a distance of 23.3 cm from the lens ? 50% Part (a) How far from the second lens, in centimeters, s its optical object located? Grade Sant ary Potential 100% . sin cos ta per attrmpt . Degrees O Radians lints: deduction per Sint Hets maining eebackSt dedectios per feedback 50% Part (b) How far ss the burnag matchbom the first lens, m centimeters? 7:56 PM to search 4/8/2018 5 6 8 9 7 ?shift

Explanation / Answer

a) let v2 = 23.3 cm (image distance)
f2 = 8.1 cm (focal length)
u2 = ? (object distance)

use, 1/u2 + 1/v2 = 1/f2

1/u2 = 1/f2 - 1/v2

1/u2 = 1/8.1 - 1/23.3

u2 = 12.4 cm <<<<<<<<--------------------Answer

b) for first lens

v1 = 33.5 - 12.4 = 21.1 cm (image distance)
f1 = 4.1 cm
u1 = ? (object distance)

use, 1/u1 + 1/v1 = 1/f1

1/u1 = 1/f1 - 1/v1

1/u1 = 1/4.1 - 1/21.1

u2 = 5.09 cm <<<<<<<<--------------------Answer

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