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A concave mirror (f = 44 cm) produces an image whose distance from the mirror is...

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Physics

A concave mirror (f = 44 cm) produces an image whose distancefrom the mirror is one-fourth the object distance. (a) Determinethe object distance. cm (b) Determine the (positive) imagedistance. cm

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3.7 Ratings (664 Votes)

Focal length f = 44 cm

Image distance v = ( 1/ 4) Object distance

                            = u / 4

we know ( 1/ u ) + ( 1/ v ) = ( 1/ f)

               ( 1/ u ) + ( 4/u ) = ( 1/f)

                5 / u = 1/ f

From this distance of the object u = 5f

                                                       = 220 cm

(b). Image distance v = 55 cm
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