Question

You are given a spherical mirror and wish to determine its properties. You place an object on its axis, 45.9 cm in front of it, and discover that the mirror creates a virtual image located 16.1 cm from the mirror.

Find the mirror's focal length.

focal length: cm

Calculate the mirror's radius of curvature.

radius of curvature: cm

If it can be determined, is the mirror concave or convex?

cannot be determined

convex

concave

Answer 1

Solution)

Given,

Object distance, P=45.9 cm

Image distance, q=-16.1 cm

We know mirror equation,

1/f= 1/p + 1/q

1/f= 1/45.9 -1/16.1

F= -24.7 cm

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Radius of curvature= 2f=2*(-24.7)= -49.5 cm

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Negative sign means convex mirror.

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