Help with a concave versus convex mirror equation set... Prelab 6: For Part V of

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Help with a concave versus convex mirror equation set...

Prelab 6: For Part V of the lab, you will need to determine the radius of curvature of both a concave and a convex lens. a.) Consider a concave lens with the following parameters: L/2 d b where a is the lens's width across an end, b is the width across the middle, L is the length of the lens, d is the depth of curvature, and R is the radius of curvature. In finding an expression for the radius of curvature R in terms ofa, b, and L, provide a trigonometric or algebraic reason for each of the following steps Result of Prelab 3, which applies here as well. 2d (a-b) (a b)2 +L2 4(a b)

Explanation / Answer

Numerator in both part of the equation are positive. But see denominator in part a. It is 4(a-b). And for concave mirror it is obvious that a is greater than b. So the whole equation becomes positive.

In the case of converging lens, denominator is 4(b-a). And here it is b is which is greater than a so that it yields positive value for the radius.

You better know radiu can't be NEGATIVE.

I hope you got my point. Thank you

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