Lens-Maker's Formula: a Double-Convex Thin Lens Is Made of Glass

question 83

Multiple Choice

Lens-maker's formula: A double-convex thin lens is made of glass with an index of refraction of 1.52. The radii of curvature of the faces of the lens are 60 cm and 72 cm. What is the focal length of the lens?

• A) 70 cm
• B) 63 cm
• C) 75 cm
• D) 66 cm
• E) 58 cm

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Definitions:

Universal Premise

A statement in logic that asserts something is true for all members of a certain category or class.

Particular Premise

A statement in an argument that makes a claim about some, but not all, members of a category.

Venn Diagram

A diagram that represents mathematical or logical sets pictorially as circles or closed curves within an enclosing rectangle (the universal set), with common elements of the sets represented by intersections of the circles.

Syllogism Validity

Syllogism validity refers to the logical soundness of a syllogism, where if the premises are true, the conclusions necessarily follow.