A 3.0 cm -tall candle flame is 2.0 m from a wall. You happen to have a lens with

Question

A 3.0 cm -tall candle flame is 2.0 m from a wall. You happen to have a lens with a focal length of 42 cm. You may want to review. For help with math skills, you may want to review: Solving Quadratic Equations For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Using a lens to create an image. How many places can you put the lens to form a well-focused image of the candle flame on the wall? For each location, what is the height of the image? Express your answer using two significant figures. Enter your answers numerically separated by a comma. For each location, what is the orientation of the image? both inverted one inverted, the other upright both upright

Explanation / Answer

Part B

distance between candle flame and wall=2 m =200 cm

let lens is placed x cm from candle flame

by lens formula

1/x +1/(200-x)=1/42

solving for x

we get

x=140 cm and 60 cm

so two orientation of lens are 1.4 m and 0.6 m from candle flame

for 140 cm

height=magnification*height of object=(60/140)*3=1.285 cm

for 60 cm

height=(140/60)*3=7 cm

Part C

both image will be real and inverted

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