Questions: Compared to a lens with a short focal length, a lens with a long focal length has (A) a smaller power. (B) a larger power. (C) the same power. A pencil is placed in a glass of water. The pencil appears to be bent. This is an example of

Compared to a lens with a short focal length, a lens with a long focal length has
(A) a smaller power.
(B) a larger power.
(C) the same power.

A pencil is placed in a glass of water. The pencil appears to be bent. This is an example of

Transcript text: Compared to a lens with a short focal length, a lens with a long focal length has (A) a smaller power. (B) a larger power. (C) the same power. A pencil is placed in a glass of water. The pencil appears to be bent. This is an example of

Solution

Solution Steps

Step 1: Understanding Focal Length and Lens Power

The power of a lens (\(P\)) is defined as the reciprocal of its focal length (\(f\)) in meters. Mathematically, this is expressed as: \[ P = \frac{1}{f} \] A lens with a long focal length will have a smaller power because the reciprocal of a larger number is smaller.

Step 2: Analyzing the Multiple-Choice Options

Given the relationship between focal length and power, we can determine that: