Question

An object is near a concave mirror with a 10.0 cm focal length. The image is 3.0 cm tall, inverted, and 16.0 cm from the mirror. What are the object position and object height?

Answer 1

The object position is 53.3 cm and the object height is 10.0 cm.

Step-by-step explanation:

To find the object position and object height, we can use the mirror equation: 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance. Since the image is 16.0 cm from the mirror, we can plug in the values: 1/10.0 = 1/16 - 1/u. Solving for u gives us u = 53.3 cm. The object height can be found using the magnification equation: magnification (m) = -v/u. Plugging in the values, we get -3.0 cm/u = -16.0 cm/53.3 cm. Solving for u gives us u = 10.0 cm. Therefore, the object position is 53.3 cm and the object height is 10.0 cm.

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