For each of the thin lenses ( L 1 and L 2 ) shown in the fig­ure (Figure 1) , th

Question

For each of the thin lenses (L1 and L2 ) shown in the fig­ure (Figure 1) , the index of refraction of the lens' glass is 1.50, and the object is to the left of the lens. The radii of curvature indicated are just the magnitudes. Calculate the focal length of each lens.

a. Assume that R1 = 10.9 cm and R2 = 12.0 cm (figure (a)). Enter your answer as two numbers separated with a comma.

b. Assume that R = 8.30 cm (figure (b)).

c. Assume that R1 = 11.6 cm and R2 = 9.75 cm (figure (c)).

d. Assume that R = 9.45 cm (figure (d)).

e. Assume that R1 = 11.5 cm and R2 = 10.0 cm (figure (e)).

Explanation / Answer

Note that

1/f = (n - 1)(1/R1 - 1/R2)

Thus,

A) 11.42 cm, 11.42 cm

B) 16.6 cm,16.6 cm

C. 122.3 cm, 122.3 cm

D. -18.9 cm, -18.9 cm

E. -10.70 cm, -10.70 cm

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