Lens problem

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salemstein

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Hey I was wondering what would the following things do to the focal length of a convex lens: 1) increasing the n of the material used 2) increasing the temperature of the lens 3) increasing the temperature of the surrounding media.
 
for lenses, the focal length is given by the lens-makers eqn:
eqn_lensmaker.gif


increasing n -> decreases f.

Not exactly sure about 2) and 3). My guess in the dark based on the equation above is no change.
 
I would think the temperature thing would depend on whether the temperature change is high enough to cause any significant thermal expansion.
 
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