Assignment 17 Query

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course Phy 122

3/3 9 pm

017. `Query 15

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Question: `qPrinciples of Physics and General College Physics Problem 23.08. How far from a concave mirror of radius 23.0 cm must an object be placed to form an image at infinity?

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Your solution:

To form an image of infinity, the object has to be placed at the focal point of a mirror. For concave mirrors, the focal point is half the radius.

Therefore, focal point = 0.5 * 23.0 cm = 11.5 cm

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Given Solution:

`aRecall that the focal distance of this mirror is the distance at which the reflections of rays parallel to the axis of the mirror will converge, and that the focal distance is half the radius of curvature. In this case the focal distance is therefore 1/2 * 23.0 cm = 11.5 cm.

The image will be at infinity if rays emerging from the object are reflected parallel to the mirror. These rays would follow the same path, but in reverse direction, of parallel rays striking the mirror and being reflected to the focal point. So the object would have to be placed at the focal point, 11.5 cm from the mirror.

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