Thin Lens Equation & MagnificationMathematics

Optical Thin Lens Equation & Image Magnification Physics Calculator

Calculate projected image distance (di in cm), optical lateral magnification (M), and determine image properties (Real/Virtual, Inverted/Upright) for convex and concave lenses.

Calculator Inputs

Live Real-Time
cm
Quick select:
cm
Quick select:
Calculated ResultThin Lens Equation & Magnification

Image Distance (d_i in cm)

16.67cm

Linear Magnification (M)

-0.67 x

Optical Power (Diopters D)

10 D

Real & Inverted Image: Converging rays form a real projectable image behind the lens.

Object vs Image Distance

Object Distance
25 cm(60%)
Image Distance
16.67 cm(40%)

Detailed Calculation Breakdown

Object Distance
25 cm
Image Distance
16.67 cm
Lens Power
10 D

Calculation Methodology

Thin Lens Formula: 1/f = 1/do + 1/di. Image Distance: di = (f * do) / (do - f). Linear Magnification: M = -di / do. Real & Inverted if di > 0; Virtual & Upright if di < 0.

Important Legal & Educational Disclaimer

This geometric optics physics tool calculates paraxial thin lens ray tracing.

This calculator is designed for educational and informational purposes only based on public statutory frameworks. The outputs do not constitute binding financial, tax, or legal advice. We assume no liability for decisions made based on these estimations. Always verify with the relevant official authorities or a certified professional advisor.

Frequently Asked Questions

Convex (converging) lenses have positive focal lengths (+f); concave (diverging) lenses have negative focal lengths (-f).
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