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CBSE Class 10 Answered

If a convex lens iis enlongated , then how the focal length and thickness will decrease or increse?what is curvature in lens here?
Asked by sucharitasahoo1 | 24 Dec, 2017, 12:52: AM
answered-by-expert Expert Answer
if the amount of material of lens is constant and if the lens is elongated, naturally thickness will decrease. Also radius of curvature of spherical surfacees increase.
Let us consider the lens-makers equation begin mathsize 12px style 1 over f equals open parentheses mu minus 1 close parentheses open parentheses fraction numerator 1 over denominator R 1 end fraction minus space fraction numerator 1 over denominator R 2 end fraction close parentheses end style
f is focal length, μ is refractive index of lens material, R1 and R2 are radii of curvature.
by assuming the cartesian sign convention( R2 is negative, left side radius of curvature) and assuming R1 = R2=R,
we get begin mathsize 12px style f space equals space fraction numerator 1 over denominator mu minus 1 end fraction R over 2 end style
that shows the focal length increases
Answered by | 24 Dec, 2017, 09:54: AM
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