A planoconvex lens (Figure 1) has one flat surface and the other has R = 12.5 cm

Question

A planoconvex lens (Figure 1) has one flat surface and the other has R = 12.5 cm . This lens is used to view a red and yellow object which is 66.5 cm away from the lens. The index of refraction of the glass is 1.5106 for red light and 1.5226 for yellow light. Use the lensmaker's equation 1f=(n1)(1R1+1R2).

Part A

What is the location of the red image formed by the lens?

Express your answer to three significant figures and include the appropriate units.

Part B

What is the location of the yellow image formed by the lens?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

1/f = (n - 1) * (1/R1 - 1/R2)
do = 66.5 cm

(a)
nr = 1.5106
1/f = (1.5106 - 1) * (1/12.5 - 1/)
f = 24.48 cm

1/f = 1/di + 1/do
1/24.48 = 1/di + 1/66.5
di = 38.74 cm
di = 39 cm (In two sig fig)

(b)
ny = 1.5226
1/f = (1.5226 - 1) * (1/12.5 - 1/)
f = 23.92 cm

1/f = 1/di + 1/do
1/23.92 = 1/di + 1/66.5
di = 37.36 cm
di = 37 cm  (In two sig fig)

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