A 2.0-cm-tall candle flame is 2.0 m from a wall. You happen to have a lens with a focal length of 32 cm. 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 are the height and orientation of the image?
Lens can be put at two locations that is 160 cm and 40 cm. Their Heights will be 0.50 cm and 8.00 cm respectively.
We need to calculate the number of places where we can put the lens to form a well-focused image of the candle flame on the wall and height & orientation of the image at each location.
Therefore, The lens can be put at 2 different locations that is 160 cm and 40 cm.
When s = 160 cm
s' = 200 cm - 160 cm = 40 cm
When s = 40 cm
s' = 200 cm - 40 cm = 160 cm
Therefore Magnification M when s = 160 cm can be calculated as :
When s = 40 cm,
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