Learning Goal: To be able to calculate locations and heights ofimages created by spherical mirrors, and to know thequalities of together an image.

You are watching: If you are working with a convex mirror (f<0), which of the following describes the image?


In tinter-base.nets problem, friend will discover to use the spherical mirror equation:

*
.

Tinter-base.nets equation relates 3 quantities necessary to the development of images with a spherical mirror: The object street is the distance from the winter to the object, follow me the axis of the mirror. The image distance is the street from the winter to the image, along the axis of the mirror. The focal size is an intrinsic property of the mirror. It is same to half the radius the curvature

*
(i.e.,
*
).

The equation given above allows you to calculation the places ofimages and also objects. Frequently, girlfriend will likewise be interested in the sizeof the image or object. The proportion of the dimension of photo to the sizeof the object is referred to as the magnification; it is given by

*
,

where is the elevation of the image, and also is the height of the object. The 2nd equality allows you to discover thesize of the picture (or object) through the information provided by thespherical winter equation.

All the the quantities in the above equations deserve to take both positiveand an adverse values. Positive distances correspond come real photos orobjects, winter-base.netle an adverse distances correspond to virtual images orobjects. Hopeful heights exchange mail to upright images or objects,winter-base.netle an unfavorable heights correspond to inverted images or objects. Thefollowing table summarizes tinter-base.nets information:

*
*
RealVirtualRealVirtualUprightInvertedUprightInverted

Focal size can additionally take positive and an unfavorable values. Optimistic synchronizes to a concave mirror, winter-base.netle an adverse coincides to a convex mirror. Winter-base.netle the is possible for or to be negative, tinter-base.nets can occur only in cases with multiplemirrors or mirrors and also lenses. In tinter-base.nets problem, you will think about onlya solitary mirror, for this reason and also will certainly be positive.

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You will start with a reasonably standard calculation. Take into consideration a concave spherical mirror through a radius that curvature equal to
*
centimeters. An object
*
centimeters high is placed along the axis the the mirror,
*
centimeters native the mirror. You space to find the location and also height the the image.
Part A

What is the focal length the tinter-base.nets mirror?