## Related questions with answers

Shiny spheres that are placed on pedestals on a lawn are convex mirrors. One such sphere has a diameter of 40.0 cm. A 12-cm-tall robin sits in a tree that is 1.5 m from the sphere. Where is the image of the robin and how tall is the image?

Solution

VerifiedIn this problem, we have a convex mirror, where we need to find the image position and the height of the image. To solve this, we are going to use the mirror equation $\frac{1}{f} = \frac{1}{d_{o}}+ \frac{1}{d_{i}}$ where $f$ is the focal length of mirror, $d_{o}$ is the position of our object, and $d_{i}$ is the position of image. Also, we are going to use the magnification equation to find the image height $M= -\frac{d_{i}}{d_{o}}= \frac{h_{i}}{h_{o}}$ Also, we need to find the focal length of the mirror, and for that we use the equations $f=\frac{r}{2}$ $r=\frac{d}{2}$

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