Optics

Magnifying Glass Magnification

M=1+DfM = 1 + \frac{D}{f}

The angular magnification of a simple magnifying glass when the image is at the near point (25 cm). For relaxed viewing at infinity, M = D/f.

Variables

M
Angular magnification
unitless
D
Near point distance (typically 25 cm)
m
f
Focal length of magnifier
m

Derivation

Derived by comparing the angle subtended by the image through the magnifier to the angle subtended by the object at the near point without the magnifier.

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