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Question

Which quantities for a convex lens always have the opposite signs?
(Terms have their usual meanings.)

A
u and v
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B
f and v
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C
u and f
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D
Missing info
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Solution

The correct option is C u and f
For a convex lens, the focus lies on the side opposite to that of the object. So, object distance and focal length have opposite signs. Usually, object distance is taken as negative and focal length is taken as positive.

Image can be formed on either side of the lens, depending on the position of the object. So, it may have a positive or a negative sign.

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