Formulas & tables/Physics/Optics/Image magnification

Image magnification

p=yx=himghobjp=\dfrac{y}{x}=\dfrac{h_{img}}{h_{obj}}

Result unit: — (dimensionless)

What it describes

How many times larger (or smaller) the image is than the object.

Symbols

pp
magnification
xx
object distance
[m]
yy
image distance
[m]
himgh_{img}
image height
[m]
hobjh_{obj}
object height
[m]

Where it comes from

Magnification tells how many times larger the image is than the object. A value ∣p∣>1|p|>1 means an enlarged image, ∣p∣<1|p|<1 — a reduced one.

When to use it

Lenses, magnifying glasses, microscopes — assessing the size of the image.

Example

An object at a distance of 0.5 m, an image at 0.33 m. Calculate the magnification.
Substitutiony=0.33y=0.33, x=0.5x=0.5.
Resultp=0.330.5≈0.67p=\dfrac{0.33}{0.5}\approx0.67 (reduced image).

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