Spectacles, Focal length and Lens Formula

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The lens formula 1/f = 1/u + 1/v is applied to analyze vision conditions like short-sightedness and long-sightedness. For short-sightedness, where the individual cannot focus on objects beyond 2.5m, the calculation yields a focal length of -2.5m. Conversely, for long-sightedness, where the individual struggles to focus on objects closer than 2.5m, the focal length is calculated as 2.5m. The discussion seeks clarification on the application of the lens formula for these conditions. Understanding these calculations is crucial for addressing vision correction needs.
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Homework Statement



When using the lens formula: 1/f = 1/u + 1/v

for someone who has short sightedness and cannot focus on objects on objects more than 2.5m away, I get:

1/f = 1/infinity + 1/-2.5
f = -2.5 mIf using the formula for someone who had long sightedness and could not focus on objects closer than 2.5m does this mean the equation would be:

1/f = 1/infinity + 1/2.5
f = 2.5 m

Thanks! :smile:

Homework Equations



1/f = 1/u + 1/v

The Attempt at a Solution

 
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