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Chapter 2: Problem 32

Calculate the focal length of a mirror formed by the shiny back of a spoon that has a \(3.00 \mathrm{cm}\) radius of curvature.

Short Answer

Expert verified
The focal length of the mirror formed by the shiny back of the spoon is \(1.5~cm\).

Step by step solution

01

Understand what is asked

We are asked to determine the focal length of the mirror. The focal length of a spherical mirror is given by half its radius of curvature.
02

Use the mirror's formula to find the focal length

According to the mirror's formula, the focal length 'f' of a spherical mirror is half its radius of curvature 'R'. This is given by: \[f = \frac{R}{2}\]. Substituting the given radius of curvature into this formula will give us the focal length.
03

Substitution and Calculation

Substitute 3 cm into the formula: \[f = \frac{3~cm}{2} = 1.5~cm\]. The focal length of the mirror formed by the shiny back of the spoon is \(1.5~cm\).

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