What is the focal length of a plano-convex lens with a radius of curvature of 30

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Question: What is the focal length of a plano-convex lens with a radius of curvature of 30 cm?

Options:

Correct Answer: 30 cm

Solution:

Using the lens maker\'s formula for a plano-convex lens, f = R/2 = 30 cm / 2 = 30 cm.

What is the focal length of a plano-convex lens with a radius of curvature of 30 cm?

What is the focal length of a plano-convex lens with a radius of curvature of 30 cm?

Step 1: Understand that a plano-convex lens has one flat side (plano) and one curved side (convex).
Step 2: Know that the radius of curvature (R) is the distance from the center of the lens to the curved surface, which is given as 30 cm.
Step 3: Use the lens maker's formula for a plano-convex lens, which states that the focal length (f) is equal to half the radius of curvature (R).
Step 4: Substitute the value of R into the formula: f = R / 2.
Step 5: Calculate the focal length: f = 30 cm / 2 = 15 cm.

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