Question Video: Identifying a Spherical Convex Mirror | Nagwa Question Video: Identifying a Spherical Convex Mirror | Nagwa

# Question Video: Identifying a Spherical Convex Mirror Science • Third Year of Preparatory School

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Which of the mirrors below is a spherical convex mirror? Incident light is shown by the yellow lines.

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### Video Transcript

Which of the mirrors below is a spherical convex mirror? Incident light is shown by the yellow lines.

This question is asking us to identify a spherical convex mirror. Therefore, to answer this question, there are two properties we need to recognize: which of these options are spherical mirrors and which are convex mirrors. Both of these need to be true for an answer to be correct.

We call mirrors spherical because of their shape. If we traced out the curve of a spherical mirror, we would find that it is a part of a larger sphere. We can eliminate some of the options in the question by tracing out the curved paths the mirrors follow.

Options (D) and (B) do not trace out a spherical shape and instead follow an oval path. These cannot be the correct answer, as they are not spherical mirrors. Option (A) traces out a spherical shape and so is a spherical mirror. Option (C) also traces out a spherical shape and so is also a spherical mirror. They both have a radius of curvature, which is the radius of the sphere we traced out. The center of curvature is the center of this sphere. Every spherical mirror has a center of curvature.

A convex mirror is a spherical mirror with a particular curvature. The part of the mirror on the optical axis is closer to the observer than the edges of the mirror. In other words, it curves towards an observer. This means that for all convex mirrors, the center of curvature will be on the opposite side of the mirror to the observer.

If we label the observer and the center of curvature in options (A) and (C), we can see that for option (A) they are on the same side of the mirror. This means that while option (A) is a spherical mirror, it is not convex; the mirror curves away from the observer. For option (C), the center of curvature and the observer are on opposite sides. So option (C) is both a spherical and a convex mirror as the mirror curves towards the observer. Therefore, option (C) is the correct answer.

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