Shaving/makeup mirrors typically have one flat and one concave(magnifying) surfa

Question

Shaving/makeup mirrors typically have one flat and one concave(magnifying) surface. You find that you can project a magnifiedimage of a lightbulb onto the wall of your bathroom if you hold themirror 1.6 m from the bulb and 3.8 m from the wall. What is the magnification of the image? Is the image erect or inverted? What is the focal length of the mirror? Shaving/makeup mirrors typically have one flat and one concave(magnifying) surface. You find that you can project a magnifiedimage of a lightbulb onto the wall of your bathroom if you hold themirror 1.6 m from the bulb and 3.8 m from the wall. What is the magnification of the image? Is the image erect or inverted? What is the focal length of the mirror? What is the focal length of the mirror?

Explanation / Answer

Distance of the object u = 1.6 m

Distance of the image v = 3.8 m

Magnification m = v / u

                           = 2.375

(b). the image is erect

(c). From the relation ( 1 u ) + ( 1/ v ) = ( 1/ f )

                                 ( 1/ 1.6 ) + ( 1/ 3.8 ) = ( 1/ f )

From this focal length f = 1.125 cm

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