Magnification (Please show your work with formuals) 5a, b, c The image of the ne

Question

Magnification (Please show your work with formuals) 5a, b, c

The image of the newspaper that you see is... real and upright real and inverted virtual and upright virtual and inverted When you are very close to a particular makeup/shaving mirror, you notice that your reflection is upright and enlarged. Later, when you look at the mirror from various distances from far across the room, you find that your reflection is inverted, but not always enlarged. This mirror is: converging and concave converging and convex diverging and concave diverging and convex When your face is 10.0 cm away from the mirror, you find that its image has a magnification of +1.67. You do NOT need to show your work for this problem. Be sure to include units and sig.figs.! What is the focal length of the mirror? __________ What is the radius of curvature of the mirror? __________ How far from the mirror should you put your face so that its image will have a magnification of-1.67? __________

Explanation / Answer

a) A converging and concave

b) u=-10 cm

v=-1.76*10=17.6 cm

==> 1/v+1/u=1/f

==> -1/10+1/17.6=1/f

==> f=-23.16 cm

c) R= 2*f=46.31 cm

d) -v/u=-1.67

==> v=1.67u

==>1/v+1/u=1/f

==> 1/1.67u +1/u=-1/23.16

==> u =-37.03 cm

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