Given a concave mirror w/ focal length 40.0 cm. You start w/an object 50.0cm hig

Question

Given a concave mirror w/ focal length 40.0 cm. You start w/an object 50.0cm high at 160cm in front of the mirror. A) What are the charcteristics of the image? B) Now you move the object in towar the vertex of the mirror,ending with the object at a distance of 25cm from the vertex. Givethe new characteristics of new imge and describe the behavior ofthe image as the object moves to its final positon. Given a concave mirror w/ focal length 40.0 cm. You start w/an object 50.0cm high at 160cm in front of the mirror. A) What are the charcteristics of the image? B) Now you move the object in towar the vertex of the mirror,ending with the object at a distance of 25cm from the vertex. Givethe new characteristics of new imge and describe the behavior ofthe image as the object moves to its final positon.

Explanation / Answer

Given :             Focal length (f) = 40.0 cm             Object distance (u) = 160 cm]            Height of the object ( hi ) = 50.0   cm From Lens Maker's formula we have :            1/ f   =   1 / u + 1 / v or       1 / v = 1 / f   - 1 / u                    = 1 / 40 - 1 / 160            Image distance is :              v    =   53.34   cm As Object distance is > 2 f Image is :   (b)           Ifobject distance is (u)   = 25 cm                 1 / v = 1 / f   - 1 / u                    = 1 / 40 - 1 / 25            Image distance is :              v    =   -66.67   cm As the Object distance (u)   <  f         Image is:               

• Virtual
• Upright
• Magnified (larger)

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