A woman holds a tube of lipstick 8 cm from a spherical mirror and notices that t

Question

A woman holds a tube of lipstick 8 cm from a spherical mirror and notices that the image of the tube is inverted and one sixth its normal size.

A woman holds a tube of lipstick 8 cm from a spherical mirror and notices that the image of the tube is inverted and one sixth its normal size. Determine the position of the image. Is it in front of or behind the mirror? (Use a negative number below to indicate the image is behind the mirror.) Your response differs from the correct answer by more than 100%. cm Calculate the focal length of the mirror.

Explanation / Answer

a)

given

m=1/6 =0.1667

m=S/So

0.1667 =S/8

S =1.333 cm

b)

1/S +1/So =1/f

1/f =1/8 +1/1.333

=>f=1.143 cm

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