This lesson includes 18 additional questions and 8 additional question variations for subscribers.

# Lesson Worksheet: Convex Mirrors Science

In this worksheet, we will practice describing the reflection of light rays from a convex mirror.

**Q1: **

For any spherical mirror, the distance between the center of curvature and the center of the surface is just the radius of that sphere. Which one of the following sentences correctly describes the location of the center of curvature of a convex mirror?

- AThe center of curvature of a convex mirror will always be on the opposite side of the observer.
- BThe center of curvature of a convex mirror will always be on the same side as the observer.
- CDepending on the path of the light rays, the center of curvature of a convex mirror can sometimes be on the opposite side of the observer and sometimes on the same side as the observer.

**Q2: **

Which one of the following sentences is the correct description for what happens to parallel rays incident on a convex mirror?

- AThey will be focused at a point, which is called the focal point.
- BThey will not be focused at a point, but the mirror will still have a focal point.
- CThey will continue undisturbed.
- DThey will not be focused at a point and the mirror will have no focal point.

**Q3: **

The radius of curvature of a convex mirror is 5 cm. Which one of the following sentences about the focal length is correct?

- AThe focal length is 2.5 cm and is the distance from the center of the surface of the mirror to the focal point.
- BThe focal length is 2.5 cm and is the distance from the center of the surface of the mirror to the center of curvature.
- CThe focal length is 5 cm and is the distance from the center of the surface of the mirror to the focal point.
- DThe focal length is 5 cm and is the distance from the center of the surface of the mirror to the center of curvature.

**Q4: **

The focal length of a convex mirror is 2.5 cm. Which of the following sentences about the center of curvature is correct?

- AThe center of curvature is 5 cm from the focal point of the mirror.
- BThe center of curvature is 5 cm from the center of the surface of the mirror.
- CThe center of curvature is 2.5 cm from the center of the surface of the mirror.
- DThe center of curvature is 2.5 cm from the focal point of the mirror.

**Q5: **

Which one of the distances shown on the diagram below is the focal length of a convex mirror?

**Q6: **

Below is a ray diagram for a convex mirror. Which one of the five locations along the optical axis represents the center of curvature of the spherical mirror?

**Q8: **

The ray diagram below shows different paths taken by parallel rays after they reflect off a convex mirror. Which one of the paths is correct?

- APath 2, because a convex mirror will focus the incident light at a point
- BPath 1, because a convex mirror will not focus the incident light at a point

**Q9: **

There are three convex mirrors available for an experiment involving parallel light rays. Mirror 1 has a radius of curvature of 6.5 cm. Mirror 2 has a focal length of 5.6 cm. For mirror 3, the distance between its focal point and its center of curvature is 5.0 cm. The experiment will get the best results using the mirror with the largest radius of curvature. Which mirror should be used for the experiment?

- AMirror 3 has the largest radius of curvature, 15.0 cm; therefore, it should be used for the experiment.
- BMirror 1 has the largest radius of curvature, 3.25 cm; therefore, it should be used for the experiment.
- CMirror 1 has the largest radius of curvature, 13.0 cm; therefore, it should be used for the experiment.
- DMirror 2 has the largest radius of curvature, 11.2 cm; therefore, it should be used for the experiment.
- EMirror 1 has the largest radius of curvature, 6.5 cm; therefore, it should be used for the experiment.

**Q10: **

A spherical mirror has a focal length of 860 mm. What is the distance, in meters, between the point on the surface of the mirror that the optical axis passes through and the focal point?

- A1.72 m
- B860 m
- C430 m
- D0.86 m
- E0.43 m