ABO Exam Practice Test – Free Study Guide & Optician Test Prep (2025)

Question: 1 / 400

A +3.00 diopter lens has what radius of curvature?

0.1766m

0.5m

.333m

To find the radius of curvature for a lens with a given power in diopters, the formula to use is:

\[ \text{Power (D)} = \frac{1}{\text{Focal Length (m)}} \]

To derive the radius of curvature (R), we can relate focal length to the radius of curvature using the lens maker's formula for thin lenses. The formula states that the focal length of a lens is equal to the radius of curvature divided by the refractive index for thin lenses. If we assume a typical refractive index of around 1.5 (for a common lens material), the relationship between focal length and radius of curvature becomes:

\[ f = \frac{R}{(n - 1)} \]

Rearranging gives us:

\[ R = f(n - 1) \]

Given a +3.00 diopter lens, we first calculate its focal length:

\[ f = \frac{1}{3.00} = 0.333 \, m \]

Now, we can plug this value into the rearranged formula while assuming n is approximately 1.5, which is common for most lenses.

Substituting the values gives:

\[ R = 0.

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