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Convex Mirror-Image Equations

A curved mirror is a mirror with a curved reflecting surface. A convex mirror bulges outward.

The negative of the reciprocal of the focal length equals the sum of the reciprocals of the distance between an object and a mirror and the distance between an image and a mirror. The subject magnification factor equals the negative of the distance between the image and mirror divided by the distance between the object and mirror.

Formula

{QuantityVariable["i", "Distance"]^(-1) + QuantityVariable["o", "Distance"]^(-1) == -QuantityVariable["f", "Length"]^(-1), QuantityVariable["M", "Unitless"] == -(QuantityVariable["i", "Distance"]/QuantityVariable["o", "Distance"])}

symbol description physical quantity
i distance between image and mirror "Distance"
o distance between object and mirror "Distance"
f focal length "Length"
M subject magnification factor "Unitless"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Convex Mirror-Image Equations"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Convex Mirror-Image Equations"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Convex Mirror-Image Equations"], {QuantityVariable[ "M","Unitless"] -> 0.1`, QuantityVariable["f","Length"] -> Quantity[20, "Millimeters"]}]
Out[3]=

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