481,241 views
20 votes
20 votes
If you have a concave mirror whose focal length is 100.0 cm, and you want an image that is upright and 10.0 times as tall as the object, where should you place the object?

User Parag Pawar
by
3.2k points

1 Answer

10 votes
10 votes

Final answer:

To create an upright image 10.0 times as tall as the object using a concave mirror with a focal length of 100.0 cm, the object should be placed at a distance of 110.0 cm from the mirror.

Step-by-step explanation:

In order to create an upright image that is 10.0 times as tall as the object using a concave mirror with a focal length of 100.0 cm, the object should be placed at a distance of 110.0 cm from the mirror.

When the object is placed at a distance greater than twice the focal length, the image formed by the concave mirror is upright, real, and smaller than the object. The height of the image can be calculated using the magnification formula, which is equal to the height of the image divided by the height of the object.

In this case, since the image is 10.0 times as tall as the object, the magnification is 10.0. Using the magnification formula, we can calculate the image distance as -110.0 cm.

User Sebastiaan Pouyet
by
2.9k points