## Related questions with answers

A 4.0-cm-tall object is placed 12.0 cm from a convex mirror. If the image of the object is 2.0 cm tall, and the image is located at -6.0 cm, what is the focal length of the mirror? Draw a ray diagram to answer the question. Use the mirror equation and the magnification equation to verify your answer.

Solution

VerifiedIn this problem, we have a convex mirror, where we need to find the focal length of the mirror. First, we are going to draw a diagram. After that, 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 $M= -\frac{d_{i}}{d_{o}}= \frac{h_{i}}{h_{o}}$

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