For lens #1, assume that the radii of curvature are the same, except that one is

Question

For lens #1, assume that the radii of curvature are the same, except that one is positive and the other negative. Use the lens maker

For lens #1, assume that the radii of curvature are the same, except that one is positive and the other negative. Use the lens maker's equation to calculate the R's. Use your best measured value of the focal length. The retractive index of the air is 1.000 and the retractive index of the glass is 1.52. having found the R's calculate the focal length of the lens if the lens is immersed in water, which has a retractive index of 1.33. Note how it is different.

Explanation / Answer

You have the focal length in air in your data as 49 cm

For R1 and R2, we apply 1/f = (n-1)(1/R1 - 1/R2)

Both R's are the same magnitude...)

1/49 = (1.52 - 1)(1/R1 + 1/R1)

1/49 = (.52)(2/R1)

R1 = 51.0 cm

R2 = -51.0 cm

In water

1/f = (1.52 - 1.33)(1/51 + 1/51)

f = 134.1 cm

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