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A certain LCD projector contains a single thin lens. An object24.1 mm high is to

ID: 1673095 • Letter: A

Question

A certain LCD projector contains a single thin lens. An object24.1 mm high is to be projected so thatits image fills a screen 1.76 m high. Theobject-to-screen distance is 2.97 m. (a) Determine the focal length of theprojection lens.
1 mm

(b) How far from the object should the lens of the projector beplaced to form the image on the screen?
2 mm (a) Determine the focal length of theprojection lens.
1 mm

(b) How far from the object should the lens of the projector beplaced to form the image on the screen?
2 mm

Explanation / Answer

we have d+d'=2.97 m 1/d+1/d'=1/f and magnitfication k=-d'/d=-1.76/0.0241=-73 => d'=73d => d= d=0.04 m d'=2.93 m => f=0.0396 m =39.6mm (b)distance from the object d=0.04=40 mm
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