» Hw #8 (07/26 Th 11:59 PM) » Diopter of a lens Timer ? Notes Evaluate Feedback

Question

» Hw #8 (07/26 Th 11:59 PM) » Diopter of a lens Timer ? Notes Evaluate Feedback Pri Course Contents » The fiqure illustrates qualitatively a corrective lens of -3.00 diopters. 24.9 cm Th e lens material is CR-39 monomer, with an index of refraction of 1.499. Calculate R, the radius of curvature of the inner surface of the lens. Note: diopter is a measure of the refractive power of a lens, and equals the reciprocal of the focal length in meters. Example: for +3 diopters, 0.333 mete 50.1012 cm Submit Answer Incorrect. Tries 8/12 Previous Tries

Explanation / Answer

given P = -3 D
hence
1/f = P
f = -1/3 m

now
from lens makers formula
Plens = (nlens - no)/no (1/R1 - 1/R2)

for the givne problem
R1 = -R
R2 = -24.9 cm
nlens = 1.499
no = 1
hence

-1/3 = (0.499)(-1/R + 1/0.249)
R = 0.21348969 m = 21.348 cm

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